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BT 34.016 531.622 Td /F1 18.0 Tf [(Mirrors And Reflections The Geometry Of Finite Reflection Groups)] TJ ET
BT 34.016 497.375 Td /F1 9.0 Tf [(As recognized, adventure as capably as experience about lesson, amusement, as competently as union can be gotten by just checking out a books )] TJ ET
BT 622.823 497.375 Td /F1 9.0 Tf [(Mirrors And Reflections The Geometry Of )] TJ ET
BT 34.016 486.386 Td /F1 9.0 Tf [(Finite Reflection Groups)] TJ ET
BT 130.550 486.386 Td /F1 9.0 Tf [( plus it is not directly done, you could receive even more vis--vis this life, a propos the world. )] TJ ET
BT 34.016 464.597 Td /F1 9.0 Tf [(We have the funds for you this proper as well as easy showing off to get those all. We offer Mirrors And Reflections The Geometry Of Finite Reflection Groups and numerous book collections )] TJ ET
BT 34.016 453.608 Td /F1 9.0 Tf [(from fictions to scientific research in any way. among them is this Mirrors And Reflections The Geometry Of Finite Reflection Groups that can be your partner.)] TJ ET
BT 34.016 413.819 Td /F1 9.0 Tf [(The Coxeter Legacy)] TJ ET
BT 115.052 413.819 Td /F1 9.0 Tf [( Harold Scott Macdonald Coxeter This collection of essays on the legacy of mathematican Donald Coxeter is a mixture of surveys, updates, history, storytelling and personal )] TJ ET
BT 34.016 402.830 Td /F1 9.0 Tf [(memories covering both applied and abstract maths. Subjects include: polytopes, Coxeter groups, equivelar polyhedra, Ceva's theorum, and Coxeter and the artists.)] TJ ET
BT 34.016 391.841 Td /F1 9.0 Tf [(Mathematics Under the Microscope)] TJ ET
BT 175.559 391.841 Td /F1 9.0 Tf [( Alexandre Borovik 2010 The author's goal is to start a dialogue between mathematicians and cognitive scientists. He discusses, from a working )] TJ ET
BT 34.016 380.852 Td /F1 9.0 Tf [(mathematician's point of view, the mystery of mathematical intuition: why are certain mathematical concepts more intuitive than others? To what extent does the ``small scale'' structure of )] TJ ET
BT 34.016 369.863 Td /F1 9.0 Tf [(mathematical concepts and algorithms reflect the workings of the human brain? What are the ``elementary particles'' of mathematics that build up the mathematical universe? The book is )] TJ ET
BT 34.016 358.874 Td /F1 9.0 Tf [(saturated with amusing examples from a wide range of disciplines--from turbulence to error-correcting codes to logic--as well as with just puzzles and brainteasers. Despite the very serious )] TJ ET
BT 34.016 347.885 Td /F1 9.0 Tf [(subject matter, the author's approach is lighthearted and entertaining. This is an unusual and unusually fascinating book. Readers who never thought about mathematics after their school years )] TJ ET
BT 34.016 336.896 Td /F1 9.0 Tf [(will be amazed to discover how many habits of mind, ideas, and even material objects that are inherently mathematical serve as building blocks of our civilization and everyday life. A )] TJ ET
BT 34.016 325.907 Td /F1 9.0 Tf [(professional mathematician, reluctantly breaking the daily routine, or pondering on some resisting problem, will open this book and enjoy a sudden return to his or her young days when )] TJ ET
BT 34.016 314.918 Td /F1 9.0 Tf [(mathematics was fresh, exciting, and holding all promises. And do not take the word ``microscope'' in the title too literally: in fact, the author looks around, in time and space, focusing in turn on a )] TJ ET
BT 34.016 303.929 Td /F1 9.0 Tf [(tremendous variety of motives, from mathematical ``memes'' \(genes of culture\) to an unusual life of a Hollywood star. --Yuri I. Manin, Max-Planck Institute of Mathematics, Bonn, and )] TJ ET
BT 34.016 292.940 Td /F1 9.0 Tf [(Northwestern University)] TJ ET
BT 34.016 281.951 Td /F1 9.0 Tf [(Systolic Geometry and Topology)] TJ ET
0.000 0.000 0.000 RG
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34.016 280.466 m 164.066 280.466 l S
BT 164.066 281.951 Td /F1 9.0 Tf [( Mikhail Gersh Katz 2007 The systole of a compact metric space $X$ is a metric invariant of $X$, defined as the least length of a noncontractible loop in $X$. )] TJ ET
BT 34.016 270.962 Td /F1 9.0 Tf [(When $X$ is a graph, the invariant is usually referred to as the girth, ever since the 1947 article by W. Tutte. The first nontrivial results for systoles of surfaces are the two classical inequalities of )] TJ ET
BT 34.016 259.973 Td /F1 9.0 Tf [(C. Loewner and P. Pu, relying on integral-geometric identities, in the case of the two-dimensional torus and real projective plane, respectively. Currently, systolic geometry is a rapidly developing )] TJ ET
BT 34.016 248.984 Td /F1 9.0 Tf [(field, which studies systolic invariants in their relation to other geometric invariants of a manifold. This book presents the systolic geometry of manifolds and polyhedra, starting with the two )] TJ ET
BT 34.016 237.995 Td /F1 9.0 Tf [(classical inequalities, and then proceeding to recent results, including a proof of M. Gromov's filling area conjecture in a hyperelliptic setting. It then presents Gromov's inequalities and their )] TJ ET
BT 34.016 227.006 Td /F1 9.0 Tf [(generalisations, as well as asymptotic phenomena for systoles of surfaces of large genus, revealing a link both to ergodic theory and to properties of congruence subgroups of arithmetic groups. )] TJ ET
BT 34.016 216.017 Td /F1 9.0 Tf [(The author includes results on the systolic manifestations of Massey products, as well as of the classical Lusternik-Schnirelmann category.)] TJ ET
BT 34.016 205.028 Td /F1 9.0 Tf [(Mirrors and Reflections)] TJ ET
BT 126.536 205.028 Td /F1 9.0 Tf [( Alexandre V. Borovik 2009-11-07 This graduate/advanced undergraduate textbook contains a systematic and elementary treatment of finite groups generated by )] TJ ET
BT 34.016 194.039 Td /F1 9.0 Tf [(reflections. The approach is based on fundamental geometric considerations in Coxeter complexes, and emphasizes the intuitive geometric aspects of the theory of reflection groups. Key )] TJ ET
BT 34.016 183.050 Td /F1 9.0 Tf [(features include: many important concepts in the proofs are illustrated in simple drawings, which give easy access to the theory; a large number of exercises at various levels of difficulty; some )] TJ ET
BT 34.016 172.061 Td /F1 9.0 Tf [(Euclidean geometry is included along with the theory of convex polyhedra; no prerequisites are necessary beyond the basic concepts of linear algebra and group theory; and a good index and )] TJ ET
BT 34.016 161.072 Td /F1 9.0 Tf [(bibliography The exposition is directed at advanced undergraduates and first-year graduate students.)] TJ ET
BT 34.016 150.083 Td /F1 9.0 Tf [(Radio Engineering and Electronic Physics)] TJ ET
BT 201.083 150.083 Td /F1 9.0 Tf [( 1961 )] TJ ET
BT 34.016 139.094 Td /F1 9.0 Tf [(Mathematical Tools for Physicists)] TJ ET
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34.016 137.609 m 167.549 137.609 l S
BT 167.549 139.094 Td /F1 9.0 Tf [( Michael Grinfeld 2015-01-12 The new edition is significantly updated and expanded. This unique collection of review articles, ranging from fundamental )] TJ ET
BT 34.016 128.105 Td /F1 9.0 Tf [(concepts up to latest applications, contains individual contributions written by renowned experts in the relevant fields. Much attention is paid to ensuring fast access to the information, with each )] TJ ET
BT 34.016 117.116 Td /F1 9.0 Tf [(carefully reviewed article featuring cross-referencing, references to the most relevant publications in the field, and suggestions for further reading, both introductory as well as more specialized. )] TJ ET
BT 34.016 106.127 Td /F1 9.0 Tf [(While the chapters on group theory, integral transforms, Monte Carlo methods, numerical analysis, perturbation theory, and special functions are thoroughly rewritten, completely new content )] TJ ET
BT 34.016 95.138 Td /F1 9.0 Tf [(includes sections on commutative algebra, computational algebraic topology, differential geometry, dynamical systems, functional analysis, graph and network theory, PDEs of mathematical )] TJ ET
BT 34.016 84.149 Td /F1 9.0 Tf [(physics, probability theory, stochastic differential equations, and variational methods.)] TJ ET
BT 34.016 73.160 Td /F1 9.0 Tf [(On the Shoulders of Giants)] TJ ET
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BT 142.574 73.160 Td /F1 9.0 Tf [( National Research Council 1990-01-01 What mathematics should be learned by today's young people as well as tomorrow's workforce? On the Shoulders of Giants is )] TJ ET
BT 34.016 62.171 Td /F1 9.0 Tf [(a vision of richness of mathematics expressed in essays on change, dimension, quantity, shape, and uncertainty, each of which illustrate fundamental strands for school mathematics. These )] TJ ET
BT 34.016 51.182 Td /F1 9.0 Tf [(essays expand on the idea of mathematics as the language and science of patterns, allowing us to realize the importance of providing hands-on experience and the development of a curriculum )] TJ ET
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BT 34.016 552.473 Td /F1 9.0 Tf [(that will enable students to apply their knowledge to diverse numerical problems.)] TJ ET
BT 34.016 541.484 Td /F1 9.0 Tf [(Mathematical Reflections)] TJ ET
BT 134.546 541.484 Td /F1 9.0 Tf [( Peter Hilton 2012-12-06 A relaxed and informal presentation conveying the joy of mathematical discovery and insight. Frequent questions lead readers to see )] TJ ET
BT 34.016 530.495 Td /F1 9.0 Tf [(mathematics as an accessible world of thought, where understanding can turn opaque formulae into beautiful and meaningful ideas. The text presents eight topics that illustrate the unity of )] TJ ET
BT 34.016 519.506 Td /F1 9.0 Tf [(mathematical thought as well as the diversity of mathematical ideas. Drawn from both "pure" and "applied" mathematics, they include: spirals in nature and in mathematics; the modern topic of )] TJ ET
BT 34.016 508.517 Td /F1 9.0 Tf [(fractals and the ancient topic of Fibonacci numbers; Pascals Triangle and paper folding; modular arithmetic and the arithmetic of the infinite. The final chapter presents some ideas about how )] TJ ET
BT 34.016 497.528 Td /F1 9.0 Tf [(mathematics should be done, and hence, how it should be taught. Presenting many recent discoveries that lead to interesting open questions, the book can serve as the main text in courses )] TJ ET
BT 34.016 486.539 Td /F1 9.0 Tf [(dealing with contemporary mathematical topics or as enrichment for other courses. It can also be read with pleasure by anyone interested in the intellectually intriguing aspects of mathematics.)] TJ ET
BT 34.016 475.550 Td /F1 9.0 Tf [(Diagram Geometry)] TJ ET
BT 110.030 475.550 Td /F1 9.0 Tf [( Francis Buekenhout 2013-01-26 This book provides a self-contained introduction to diagram geometry. Tight connections with group theory are shown. It treats thin )] TJ ET
BT 34.016 464.561 Td /F1 9.0 Tf [(geometries \(related to Coxeter groups\) and thick buildings from a diagrammatic perspective. Projective and affine geometry are main examples. Polar geometry is motivated by polarities on )] TJ ET
BT 34.016 453.572 Td /F1 9.0 Tf [(diagram geometries and the complete classification of those polar geometries whose projective planes are Desarguesian is given. It differs from Tits' comprehensive treatment in that it uses )] TJ ET
BT 34.016 442.583 Td /F1 9.0 Tf [(Veldkamp's embeddings. The book intends to be a basic reference for those who study diagram geometry. Group theorists will find examples of the use of diagram geometry. Light on matroid )] TJ ET
BT 34.016 431.594 Td /F1 9.0 Tf [(theory is shed from the point of view of geometry with linear diagrams. Those interested in Coxeter groups and those interested in buildings will find brief but self-contained introductions into )] TJ ET
BT 34.016 420.605 Td /F1 9.0 Tf [(these topics from the diagrammatic perspective. Graph theorists will find many highly regular graphs. The text is written so graduate students will be able to follow the arguments without needing )] TJ ET
BT 34.016 409.616 Td /F1 9.0 Tf [(recourse to further literature. A strong point of the book is the density of examples.)] TJ ET
BT 34.016 398.627 Td /F1 9.0 Tf [(Geometry II)] TJ ET
BT 81.032 398.627 Td /F1 9.0 Tf [( E.B. Vinberg 2013-04-17 A very clear account of the subject from the viewpoints of elementary geometry, Riemannian geometry and group theory – a book with no rival in the )] TJ ET
BT 34.016 387.638 Td /F1 9.0 Tf [(literature. Mostly accessible to first-year students in mathematics, the book also includes very recent results which will be of interest to researchers in this field.)] TJ ET
BT 34.016 376.649 Td /F1 9.0 Tf [(Geometry Transformed: Euclidean Plane Geometry Based on Rigid Motions)] TJ ET
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34.016 375.164 m 336.632 375.164 l S
BT 336.632 376.649 Td /F1 9.0 Tf [( James R. King 2021-04-26 Many paths lead into Euclidean plane geometry. Geometry Transformed offers an )] TJ ET
BT 34.016 365.660 Td /F1 9.0 Tf [(expeditious yet rigorous route using axioms based on rigid motions and dilations. Since transformations are available at the outset, interesting theorems can be proved sooner; and proofs can be )] TJ ET
BT 34.016 354.671 Td /F1 9.0 Tf [(connected to visual and tactile intuition about symmetry and motion. The reader thus gains valuable experience thinking with transformations, a skill that may be useful in other math courses or )] TJ ET
BT 34.016 343.682 Td /F1 9.0 Tf [(applications. For students interested in teaching mathematics at the secondary school level, this approach is particularly useful since geometry in the Common Core State Standards is based on )] TJ ET
BT 34.016 332.693 Td /F1 9.0 Tf [(rigid motions. The only prerequisite for this book is a basic understanding of functions. Some previous experience with proofs may be helpful, but students can also learn about proofs by )] TJ ET
BT 34.016 321.704 Td /F1 9.0 Tf [(experiencing them in this book—in a context where they can draw and experiment. The eleven chapters are organized in a flexible way to suit a variety of curriculum goals. In addition to a )] TJ ET
BT 34.016 310.715 Td /F1 9.0 Tf [(geometrical core that includes finite symmetry groups, there are additional topics on circles and on crystallographic and frieze groups, and a final chapter on affine and Cartesian coordinates. )] TJ ET
BT 34.016 299.726 Td /F1 9.0 Tf [(The exercises are a mixture of routine problems, experiments, and proofs.)] TJ ET
BT 34.016 288.737 Td /F1 9.0 Tf [(Reflection Groups and Invariant Theory)] TJ ET
BT 191.084 288.737 Td /F1 9.0 Tf [( Richard Kane 2013-03-09 Reflection groups and invariant theory is a branch of mathematics that lies at the intersection between geometry and algebra. )] TJ ET
BT 34.016 277.748 Td /F1 9.0 Tf [(The book contains a deep and elegant theory, evolved from various graduate courses given by the author over the past 10 years.)] TJ ET
BT 34.016 266.759 Td /F1 9.0 Tf [(Geometry, Topology, and Mathematical Physics)] TJ ET
BT 225.086 266.759 Td /F1 9.0 Tf [( V. M. Buchstaber 2004 This volume contains a selection of papers based on presentations given at the S. P. Novikov seminar held at the Steklov )] TJ ET
BT 34.016 255.770 Td /F1 9.0 Tf [(Mathematical Institute in Moscow. Topics and speakers were chosen by the well-known expert, S. P. Novikov, one of the leading mathematicians of the twentieth century. His diverse interests )] TJ ET
BT 34.016 244.781 Td /F1 9.0 Tf [(are the tradition of the seminar and are reflected in the topics presented in the book.)] TJ ET
BT 34.016 233.792 Td /F1 9.0 Tf [(Thinking Algebraically: An Introduction to Abstract Algebra)] TJ ET
BT 266.117 233.792 Td /F1 9.0 Tf [( Thomas Q. Sibley 2021-06-08 Thinking Algebraically presents the insights of abstract algebra in a welcoming and accessible way. It )] TJ ET
BT 34.016 222.803 Td /F1 9.0 Tf [(succeeds in combining the advantages of rings-first and groups-first approaches while avoiding the disadvantages. After an historical overview, the first chapter studies familiar examples and )] TJ ET
BT 34.016 211.814 Td /F1 9.0 Tf [(elementary properties of groups and rings simultaneously to motivate the modern understanding of algebra. The text builds intuition for abstract algebra starting from high school algebra. In )] TJ ET
BT 34.016 200.825 Td /F1 9.0 Tf [(addition to the standard number systems, polynomials, vectors, and matrices, the first chapter introduces modular arithmetic and dihedral groups. The second chapter builds on these basic )] TJ ET
BT 34.016 189.836 Td /F1 9.0 Tf [(examples and properties, enabling students to learn structural ideas common to rings and groups: isomorphism, homomorphism, and direct product. The third chapter investigates introductory )] TJ ET
BT 34.016 178.847 Td /F1 9.0 Tf [(group theory. Later chapters delve more deeply into groups, rings, and fields, including Galois theory, and they also introduce other topics, such as lattices. The exposition is clear and )] TJ ET
BT 34.016 167.858 Td /F1 9.0 Tf [(conversational throughout. The book has numerous exercises in each section as well as supplemental exercises and projects for each chapter. Many examples and well over 100 figures provide )] TJ ET
BT 34.016 156.869 Td /F1 9.0 Tf [(support for learning. Short biographies introduce the mathematicians who proved many of the results. The book presents a pathway to algebraic thinking in a semester- or year-long algebra )] TJ ET
BT 34.016 145.880 Td /F1 9.0 Tf [(course.)] TJ ET
BT 34.016 134.891 Td /F1 9.0 Tf [(Solid State Physics)] TJ ET
BT 111.047 134.891 Td /F1 9.0 Tf [( 1985-04-23 Solid State Physics)] TJ ET
BT 34.016 123.902 Td /F1 9.0 Tf [(Microwave NDT)] TJ ET
BT 98.015 123.902 Td /F1 9.0 Tf [( N. Ida 2012-12-06 Microwave testing has been paid only scant attention in the literature as a method for nondestructive testing of materials, yet it offers some attractive features, )] TJ ET
BT 34.016 112.913 Td /F1 9.0 Tf [(especially for the testing of composite and other non-metallic materials. Microwave techniques have been used in a large number of applications that can be classified as nondestructive testing )] TJ ET
BT 34.016 101.924 Td /F1 9.0 Tf [(applications, ranging from large scale remote sensing to detection of tumors in the body. This volume describes a unified approach to microwave nondestructive testing by presenting the three )] TJ ET
BT 34.016 90.935 Td /F1 9.0 Tf [(essential components of testing: theory, practice, and modelling. While recognizing that each of these subjects is wide enough to justify a volume of its own, the presentation of the three topics )] TJ ET
BT 34.016 79.946 Td /F1 9.0 Tf [(together shows that these are interrelated and should be practiced together. While few will argue against a good theoretical background, modelling and simulation of the testing environment is )] TJ ET
BT 34.016 68.957 Td /F1 9.0 Tf [(seldom part of the NDT training in any method, but particularly so in microwave testing. The text is devided in four parts. The first part presents the field theory background necessary for )] TJ ET
BT 34.016 57.968 Td /F1 9.0 Tf [(understanding the microwave domain. The second part treats microwave measurements as well as devices and sources and the third part discusses practical tests applicable to a variety of )] TJ ET
BT 34.016 46.979 Td /F1 9.0 Tf [(materials and geometries. The fourth part discusses modelling of microwave testing. Each chapter contains a bibliography intended to expand on the material given and, in particular, to point to )] TJ ET
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BT 34.016 552.473 Td /F1 9.0 Tf [(subjects which could not be covered either as not appropriate or for lack of space. For engineers, applied physicsts, material scientists.)] TJ ET
BT 34.016 541.484 Td /F1 9.0 Tf [(Collected works. 1. Class field theory)] TJ ET
0.18 w 0 J [ ] 0 d
34.016 539.999 m 181.562 539.999 l S
BT 181.562 541.484 Td /F1 9.0 Tf [( Pierre Cartier 2004 Mirrors and Reflections presents an intuitive and elementary introduction to finite reflection groups. Starting with basic principles, this )] TJ ET
BT 34.016 530.495 Td /F1 9.0 Tf [(book provides a comprehensive classification of the various types of finite reflection groups and describes their underlying geometric properties. Unique to this text is its emphasis on the intuitive )] TJ ET
BT 34.016 519.506 Td /F1 9.0 Tf [(geometric aspects of the theory of reflection groups, making the subject more accessible to the novice. Primarily self-contained, necessary geometric concepts are introduced and explained. )] TJ ET
BT 34.016 508.517 Td /F1 9.0 Tf [(Principally designed for coursework, this book is saturated with exercises and examples of varying degrees of difficulty. An appendix offers hints for solving the most difficult problems. Wherever )] TJ ET
BT 34.016 497.528 Td /F1 9.0 Tf [(possible, concepts are presented with pictures and diagrams intentionally drawn for easy reproduction. Finite reflection groups is a topic of great interest to many pure and applied )] TJ ET
BT 34.016 486.539 Td /F1 9.0 Tf [(mathematicians. Often considered a cornerstone of modern algebra and geometry, an understanding of finite reflection groups is of great value to students of pure or applied mathematics. )] TJ ET
BT 34.016 475.550 Td /F1 9.0 Tf [(Requiring only a modest knowledge of linear algebra and group theory, this book is intended for teachers and students of mathematics at the advanced undergraduate and graduate levels.)] TJ ET
BT 34.016 464.561 Td /F1 9.0 Tf [(IEE Conference Publication)] TJ ET
BT 144.068 464.561 Td /F1 9.0 Tf [( 1974 )] TJ ET
BT 34.016 453.572 Td /F1 9.0 Tf [(Controlled Thermonuclear Reactions)] TJ ET
BT 180.563 453.572 Td /F1 9.0 Tf [( 1961 )] TJ ET
BT 34.016 442.583 Td /F1 9.0 Tf [(TID)] TJ ET
BT 48.515 442.583 Td /F1 9.0 Tf [( 1961 )] TJ ET
BT 34.016 431.594 Td /F1 9.0 Tf [(Fundamentals of Photonics)] TJ ET
BT 143.069 431.594 Td /F1 9.0 Tf [( Bahaa E. A. Saleh 2020-03-04 Fundamentals of Photonics A complete, thoroughly updated, full-color third edition Fundamentals of Photonics, Third Edition is a self-)] TJ ET
BT 34.016 420.605 Td /F1 9.0 Tf [(contained and up-to-date introductory-level textbook that thoroughly surveys this rapidly expanding area of engineering and applied physics. Featuring a blend of theory and applications, )] TJ ET
BT 34.016 409.616 Td /F1 9.0 Tf [(coverage includes detailed accounts of the primary theories of light, including ray optics, wave optics, electromagnetic optics, and photon optics, as well as the interaction of light and matter. )] TJ ET
BT 34.016 398.627 Td /F1 9.0 Tf [(Presented at increasing levels of complexity, preliminary sections build toward more advanced topics, such as Fourier optics and holography, photonic-crystal optics, guided-wave and fiber )] TJ ET
BT 34.016 387.638 Td /F1 9.0 Tf [(optics, LEDs and lasers, acousto-optic and electro-optic devices, nonlinear optical devices, ultrafast optics, optical interconnects and switches, and optical fiber communications. The third edition )] TJ ET
BT 34.016 376.649 Td /F1 9.0 Tf [(features an entirely new chapter on the optics of metals and plasmonic devices. Each chapter contains highlighted equations, exercises, problems, summaries, and selected reading lists. )] TJ ET
BT 34.016 365.660 Td /F1 9.0 Tf [(Examples of real systems are included to emphasize the concepts governing applications of current interest. Each of the twenty-four chapters of the second edition has been thoroughly updated.)] TJ ET
BT 34.016 354.671 Td /F1 9.0 Tf [(King of Infinite Space)] TJ ET
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34.016 353.186 m 119.066 353.186 l S
BT 119.066 354.671 Td /F1 9.0 Tf [( Siobhan Roberts 2009-05-26 "There is perhaps no better way to prepare for the scientific breakthroughs of tomorrow than to learn the language of geometry." -Brian )] TJ ET
BT 34.016 343.682 Td /F1 9.0 Tf [(Greene, author of The Elegant Universe The word "geometry" brings to mind an array of mathematical images: circles, triangles, the Pythagorean Theorem. Yet geometry is so much more than )] TJ ET
BT 34.016 332.693 Td /F1 9.0 Tf [(shapes and numbers; indeed, it governs much of our lives-from architecture and microchips to car design, animated movies, the molecules of food, even our own body chemistry. And as )] TJ ET
BT 34.016 321.704 Td /F1 9.0 Tf [(Siobhan Roberts elegantly conveys in The King of Infinite Space, there can be no better guide to the majesty of geometry than Donald Coxeter, perhaps the greatest geometer of the twentieth )] TJ ET
BT 34.016 310.715 Td /F1 9.0 Tf [(century. Many of the greatest names in intellectual history-Pythagoras, Plato, Archimedes, Euclid- were geometers, and their creativity and achievements illuminate those of Coxeter, revealing )] TJ ET
BT 34.016 299.726 Td /F1 9.0 Tf [(geometry to be a living, ever-evolving endeavor, an intellectual adventure that has always been a building block of civilization. Coxeter's special contributions-his famed Coxeter groups and )] TJ ET
BT 34.016 288.737 Td /F1 9.0 Tf [(Coxeter diagrams-have been called by other mathematicians "tools as essential as numbers themselves," but his greatest achievement was to almost single-handedly preserve the tradition of )] TJ ET
BT 34.016 277.748 Td /F1 9.0 Tf [(classical geometry when it was under attack in a mathematical era that valued all things austere and rational. Coxeter also inspired many outside the field of mathematics. Artist M. C. Escher )] TJ ET
BT 34.016 266.759 Td /F1 9.0 Tf [(credited Coxeter with triggering his legendary Circle Limit patterns, while futurist/inventor Buckminster Fuller acknowledged that his famed geodesic dome owed much to Coxeter's vision. The )] TJ ET
BT 34.016 255.770 Td /F1 9.0 Tf [(King of Infinite Space is an elegant portal into the fascinating, arcane world of geometry.)] TJ ET
BT 34.016 244.781 Td /F1 9.0 Tf [(Perspectives on Projective Geometry)] TJ ET
BT 182.066 244.781 Td /F1 9.0 Tf [( Jürgen Richter-Gebert 2011-02-04 Projective geometry is one of the most fundamental and at the same time most beautiful branches of geometry. It can be )] TJ ET
BT 34.016 233.792 Td /F1 9.0 Tf [(considered the common foundation of many other geometric disciplines like Euclidean geometry, hyperbolic and elliptic geometry or even relativistic space-time geometry. This book offers a )] TJ ET
BT 34.016 222.803 Td /F1 9.0 Tf [(comprehensive introduction to this fascinating field and its applications. In particular, it explains how metric concepts may be best understood in projective terms. One of the major themes that )] TJ ET
BT 34.016 211.814 Td /F1 9.0 Tf [(appears throughout this book is the beauty of the interplay between geometry, algebra and combinatorics. This book can especially be used as a guide that explains how geometric objects and )] TJ ET
BT 34.016 200.825 Td /F1 9.0 Tf [(operations may be most elegantly expressed in algebraic terms, making it a valuable resource for mathematicians, as well as for computer scientists and physicists. The book is based on the )] TJ ET
BT 34.016 189.836 Td /F1 9.0 Tf [(author’s experience in implementing geometric software and includes hundreds of high-quality illustrations.)] TJ ET
BT 34.016 178.847 Td /F1 9.0 Tf [(Optics Letters)] TJ ET
BT 89.537 178.847 Td /F1 9.0 Tf [( 2008 )] TJ ET
BT 34.016 167.858 Td /F1 9.0 Tf [(1974 U.R.S.I. Symposium on Electromagnetic Wave Theory, 9-12, July 1974 [held at The] Imperial College of Science and Technology)] TJ ET
BT 570.749 167.858 Td /F1 9.0 Tf [( 1974 )] TJ ET
BT 34.016 156.869 Td /F1 9.0 Tf [(The Geometry and Topology of Coxeter Groups. \(LMS-32\))] TJ ET
BT 267.107 156.869 Td /F1 9.0 Tf [( Michael Davis 2012-11-26 The Geometry and Topology of Coxeter Groups is a comprehensive and authoritative treatment of Coxeter )] TJ ET
BT 34.016 145.880 Td /F1 9.0 Tf [(groups from the viewpoint of geometric group theory. Groups generated by reflections are ubiquitous in mathematics, and there are classical examples of reflection groups in spherical, )] TJ ET
BT 34.016 134.891 Td /F1 9.0 Tf [(Euclidean, and hyperbolic geometry. Any Coxeter group can be realized as a group generated by reflection on a certain contractible cell complex, and this complex is the principal subject of this )] TJ ET
BT 34.016 123.902 Td /F1 9.0 Tf [(book. The book explains a theorem of Moussong that demonstrates that a polyhedral metric on this cell complex is nonpositively curved, meaning that Coxeter groups are "CAT\(0\) groups." The )] TJ ET
BT 34.016 112.913 Td /F1 9.0 Tf [(book describes the reflection group trick, one of the most potent sources of examples of aspherical manifolds. And the book discusses many important topics in geometric group theory and )] TJ ET
BT 34.016 101.924 Td /F1 9.0 Tf [(topology, including Hopf's theory of ends; contractible manifolds and homology spheres; the Poincaré Conjecture; and Gromov's theory of CAT\(0\) spaces and groups. Finally, the book examines )] TJ ET
BT 34.016 90.935 Td /F1 9.0 Tf [(connections between Coxeter groups and some of topology's most famous open problems concerning aspherical manifolds, such as the Euler Characteristic Conjecture and the Borel and Singer )] TJ ET
BT 34.016 79.946 Td /F1 9.0 Tf [(conjectures.)] TJ ET
BT 34.016 68.957 Td /F1 9.0 Tf [(Handbook of Discrete and Computational Geometry, Second Edition)] TJ ET
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34.016 67.472 m 306.140 67.472 l S
BT 306.140 68.957 Td /F1 9.0 Tf [( Csaba D. Toth 2004-04-13 While high-quality books and journals in this field continue to proliferate, none has yet come close )] TJ ET
BT 34.016 57.968 Td /F1 9.0 Tf [(to matching the Handbook of Discrete and Computational Geometry, which in its first edition, quickly became the definitive reference work in its field. But with the rapid growth of the discipline )] TJ ET
BT 34.016 46.979 Td /F1 9.0 Tf [(and the many advances made over the past seven years, it's time to bring this standard-setting reference up to date. Editors Jacob E. Goodman and Joseph O'Rourke reassembled their stellar )] TJ ET
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BT 34.016 552.473 Td /F1 9.0 Tf [(panel of contributors, added manymore, and together thoroughly revised their work to make the most important results and methods, both classic and cutting-edge, accessible in one convenient )] TJ ET
BT 34.016 541.484 Td /F1 9.0 Tf [(volume. Now over more then 1500 pages, the Handbook of Discrete and Computational Geometry, Second Edition once again provides unparalleled, authoritative coverage of theory, methods, )] TJ ET
BT 34.016 530.495 Td /F1 9.0 Tf [(and applications. Highlights of the Second Edition: Thirteen new chapters: Five on applications and others on collision detection, nearest neighbors in high-dimensional spaces, curve and )] TJ ET
BT 34.016 519.506 Td /F1 9.0 Tf [(surface reconstruction, embeddings of finite metric spaces, polygonal linkages, the discrepancy method, and geometric graph theory Thorough revisions of all remaining chapters Extended )] TJ ET
BT 34.016 508.517 Td /F1 9.0 Tf [(coverage of computational geometry software, now comprising two chapters: one on the LEDA and CGAL libraries, the other on additional software Two indices: An Index of Defined Terms and )] TJ ET
BT 34.016 497.528 Td /F1 9.0 Tf [(an Index of Cited Authors Greatly expanded bibliographies)] TJ ET
BT 34.016 486.539 Td /F1 9.0 Tf [(Handbook of Discrete and Computational Geometry)] TJ ET
0.18 w 0 J [ ] 0 d
34.016 485.054 m 240.602 485.054 l S
BT 240.602 486.539 Td /F1 9.0 Tf [( Csaba D. Toth 2017-11-22 The Handbook of Discrete and Computational Geometry is intended as a reference book fully accessible to )] TJ ET
BT 34.016 475.550 Td /F1 9.0 Tf [(nonspecialists as well as specialists, covering all major aspects of both fields. The book offers the most important results and methods in discrete and computational geometry to those who use )] TJ ET
BT 34.016 464.561 Td /F1 9.0 Tf [(them in their work, both in the academic world—as researchers in mathematics and computer science—and in the professional world—as practitioners in fields as diverse as operations )] TJ ET
BT 34.016 453.572 Td /F1 9.0 Tf [(research, molecular biology, and robotics. Discrete geometry has contributed significantly to the growth of discrete mathematics in recent years. This has been fueled partly by the advent of )] TJ ET
BT 34.016 442.583 Td /F1 9.0 Tf [(powerful computers and by the recent explosion of activity in the relatively young field of computational geometry. This synthesis between discrete and computational geometry lies at the heart of )] TJ ET
BT 34.016 431.594 Td /F1 9.0 Tf [(this Handbook. A growing list of application fields includes combinatorial optimization, computer-aided design, computer graphics, crystallography, data analysis, error-correcting codes, )] TJ ET
BT 34.016 420.605 Td /F1 9.0 Tf [(geographic information systems, motion planning, operations research, pattern recognition, robotics, solid modeling, and tomography.)] TJ ET
BT 34.016 409.616 Td /F1 9.0 Tf [(Use and Redesign in IS: Double Helix Relationships?)] TJ ET
BT 246.101 409.616 Td /F1 9.0 Tf [( Hans-Erik Nissen 2007 Nothing provided)] TJ ET
BT 34.016 398.627 Td /F1 9.0 Tf [(Trends in Banach Spaces and Operator Theory)] TJ ET
BT 223.106 398.627 Td /F1 9.0 Tf [( Anna Kami?ska 2003 This volume contains proceedings of the conference on Trends in Banach Spaces and Operator Theory, which was )] TJ ET
BT 34.016 387.638 Td /F1 9.0 Tf [(devoted to recent advances in theories of Banach spaces and linear operators. Included in the volume are 25 papers, some of which are expository, while others present new results. The articles )] TJ ET
BT 34.016 376.649 Td /F1 9.0 Tf [(address the following topics: history of the famous James' theorem on reflexivity, projective tensor products, construction of noncommutative $L_p$-spaces via interpolation, Banach spaces with )] TJ ET
BT 34.016 365.660 Td /F1 9.0 Tf [(abundance of nontrivial operators, Banach spaces with small spaces of operators, convex geometry of Coxeter-invariant polyhedra, uniqueness of unconditional bases in quasi-Banach spaces, )] TJ ET
BT 34.016 354.671 Td /F1 9.0 Tf [(dynamics of cohyponormal operators, and Fourier algebras for locally compact groupoids. The book is suitable for graduate students and research mathematicians interested in Banach spaces )] TJ ET
BT 34.016 343.682 Td /F1 9.0 Tf [(and operator theory and their applications.)] TJ ET
BT 34.016 332.693 Td /F1 9.0 Tf [(Geometric Methods in Physics)] TJ ET
BT 155.552 332.693 Td /F1 9.0 Tf [( Piotr Kielanowski 2013-07-30 The Bia?owie?a workshops on Geometric Methods in Physics, taking place in the unique environment of the Bia?owie?a natural )] TJ ET
BT 34.016 321.704 Td /F1 9.0 Tf [(forest in Poland, are among the important meetings in the field. Every year some 80 to 100 participants both from mathematics and physics join to discuss new developments and to interchange )] TJ ET
BT 34.016 310.715 Td /F1 9.0 Tf [(ideas. The current volume was produced on the occasion of the XXXI meeting in 2012. For the first time the workshop was followed by a School on Geometry and Physics, which consisted of )] TJ ET
BT 34.016 299.726 Td /F1 9.0 Tf [(advanced lectures for graduate students and young researchers. Selected speakers of the workshop were asked to contribute, and additional review articles were added. The selection shows )] TJ ET
BT 34.016 288.737 Td /F1 9.0 Tf [(that despite its now long tradition the workshop remains always at the cutting edge of ongoing research. The XXXI workshop had as a special topic the works of the late Boris Vasilievich )] TJ ET
BT 34.016 277.748 Td /F1 9.0 Tf [(Fedosov \(1938–2011\) who is best known for a simple and very natural construction of a deformation quantization for any symplectic manifold, and for his contributions to index theory.?)] TJ ET
BT 34.016 266.759 Td /F1 9.0 Tf [(X-ray and Extreme Ultraviolet Optics)] TJ ET
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34.016 265.274 m 179.555 265.274 l S
BT 179.555 266.759 Td /F1 9.0 Tf [( Richard B. Hoover 1995 )] TJ ET
BT 34.016 255.770 Td /F1 9.0 Tf [(The Complete Idiot's Guide to Geometry)] TJ ET
BT 194.801 255.770 Td /F1 9.0 Tf [( Denise Szecsei 2004 Offers an introduction to the principles of geometry, from theorems, proofs, and postulates to lines, angles, and polygons.)] TJ ET
BT 34.016 244.781 Td /F1 9.0 Tf [(Quasicrystals and Discrete Geometry)] TJ ET
0.18 w 0 J [ ] 0 d
34.016 243.296 m 183.056 243.296 l S
BT 183.056 244.781 Td /F1 9.0 Tf [( Jiri Patera 1998-01-01 )] TJ ET
BT 34.016 233.792 Td /F1 9.0 Tf [(Reflection Groups and Invariant Theory)] TJ ET
BT 191.084 233.792 Td /F1 9.0 Tf [( Richard Kane 2001 Reflection groups and invariant theory is a branch of mathematics that lies at the intersection between geometry and algebra. The )] TJ ET
BT 34.016 222.803 Td /F1 9.0 Tf [(book contains a deep and elegant theory, evolved from various graduate courses given by the author over the past 10 years.)] TJ ET
BT 34.016 211.814 Td /F1 9.0 Tf [(Groups and Symmetries)] TJ ET
BT 131.045 211.814 Td /F1 9.0 Tf [( John P. Harnad )] TJ ET
BT 34.016 200.825 Td /F1 9.0 Tf [(Thermal Radiation Heat Transfer, 5th Edition)] TJ ET
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34.016 199.340 m 212.585 199.340 l S
BT 212.585 200.825 Td /F1 9.0 Tf [( John R. Howell 2010-09-28 Providing a comprehensive overview of the radiative behavior and properties of materials, the fifth edition of this classic )] TJ ET
BT 34.016 189.836 Td /F1 9.0 Tf [(textbook describes the physics of radiative heat transfer, development of relevant analysis methods, and associated mathematical and numerical techniques. Retaining the salient features and )] TJ ET
BT 34.016 178.847 Td /F1 9.0 Tf [(fundamental coverage that have made it popular, Thermal Radiation Heat Transfer, Fifth Edition has been carefully streamlined to omit superfluous material, yet enhanced to update information )] TJ ET
BT 34.016 167.858 Td /F1 9.0 Tf [(with extensive references. Includes four new chapters on Inverse Methods, Electromagnetic Theory, Scattering and Absorption by Particles, and Near-Field Radiative Transfer Keeping pace with )] TJ ET
BT 34.016 156.869 Td /F1 9.0 Tf [(significant developments, this book begins by addressing the radiative properties of blackbody and opaque materials, and how they are predicted using electromagnetic theory and obtained )] TJ ET
BT 34.016 145.880 Td /F1 9.0 Tf [(through measurements. It discusses radiative exchange in enclosures without any radiating medium between the surfaces—and where heat conduction is included within the boundaries. The )] TJ ET
BT 34.016 134.891 Td /F1 9.0 Tf [(book also covers the radiative properties of gases and addresses energy exchange when gases and other materials interact with radiative energy, as occurs in furnaces. To make this )] TJ ET
BT 34.016 123.902 Td /F1 9.0 Tf [(challenging subject matter easily understandable for students, the authors have revised and reorganized this textbook to produce a streamlined, practical learning tool that: Applies the common )] TJ ET
BT 34.016 112.913 Td /F1 9.0 Tf [(nomenclature adopted by the major heat transfer journals Consolidates past material, reincorporating much of the previous text into appendices Provides an updated, expanded, and )] TJ ET
BT 34.016 101.924 Td /F1 9.0 Tf [(alphabetized collection of references, assembling them in one appendix Offers a helpful list of symbols With worked-out examples, chapter-end homework problems, and other useful learning )] TJ ET
BT 34.016 90.935 Td /F1 9.0 Tf [(features, such as concluding remarks and historical notes, this new edition continues its tradition of serving both as a comprehensive textbook for those studying and applying radiative transfer, )] TJ ET
BT 34.016 79.946 Td /F1 9.0 Tf [(and as a repository of vital literary references for the serious researcher.)] TJ ET
BT 34.016 68.957 Td /F1 9.0 Tf [(Thermal Radiation Heat Transfer, Fourth Edition)] TJ ET
BT 226.085 68.957 Td /F1 9.0 Tf [( Robert Siegel 2001-12-07 This extensively revised 4th edition provides an up-to-date, comprehensive single source of information on the )] TJ ET
BT 34.016 57.968 Td /F1 9.0 Tf [(important subjects in engineering radiative heat transfer. It presents the subject in a progressive manner that is excellent for classroom use or self-study, and also provides an annotated )] TJ ET
BT 34.016 46.979 Td /F1 9.0 Tf [(reference to literature and research in the field. The foundations and methods for treating radiative heat transfer are developed in detail, and the methods are demonstrated and clarified by )] TJ ET
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BT 34.016 552.473 Td /F1 9.0 Tf [(solving example problems. The examples are especially helpful for self-study. The treatment of spectral band properties of gases has been made current and the methods are described in detail )] TJ ET
BT 34.016 541.484 Td /F1 9.0 Tf [(and illustrated with examples. The combination of radiation with conduction and/or convection has been given more emphasis nad has been merged with results for radiation alone that serve as )] TJ ET
BT 34.016 530.495 Td /F1 9.0 Tf [(a limiting case; this increases practicality for energy transfer in translucent solids and fluids. A comprehensive catalog of configuration factors on the CD that is included with each book provides )] TJ ET
BT 34.016 519.506 Td /F1 9.0 Tf [(over 290 factors in algebraic or graphical form. Homework problems with answers are given in each chapter, and a detailed and carefully worked solution manual is available for instructors.)] TJ ET
BT 34.016 508.517 Td /F1 9.0 Tf [(Geometry Turned On)] TJ ET
BT 119.048 508.517 Td /F1 9.0 Tf [( James King 1997-10-30 Articles about the uses of active, exploratory geometry carried out with interactive computer software.)] TJ ET
BT 34.016 497.528 Td /F1 9.0 Tf [(Visual Geometry and Topology)] TJ ET
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34.016 496.043 m 157.568 496.043 l S
BT 157.568 497.528 Td /F1 9.0 Tf [( Anatolij T. Fomenko 2012-12-06 Geometry and topology are strongly motivated by the visualization of ideal objects that have certain special characteristics. A )] TJ ET
BT 34.016 486.539 Td /F1 9.0 Tf [(clear formulation of a specific property or a logically consistent proof of a theorem often comes only after the mathematician has correctly "seen" what is going on. These pictures which are )] TJ ET
BT 34.016 475.550 Td /F1 9.0 Tf [(meant to serve as signposts leading to mathematical understanding, frequently also contain a beauty of their own. The principal aim of this book is to narrate, in an accessible and fairly visual )] TJ ET
BT 34.016 464.561 Td /F1 9.0 Tf [(language, about some classical and modern achievements of geometry and topology in both intrinsic mathematical problems and applications to mathematical physics. The book starts from )] TJ ET
BT 34.016 453.572 Td /F1 9.0 Tf [(classical notions of topology and ends with remarkable new results in Hamiltonian geometry. Fomenko lays special emphasis upon visual explanations of the problems and results and )] TJ ET
BT 34.016 442.583 Td /F1 9.0 Tf [(downplays the abstract logical aspects of calculations. As an example, readers can very quickly penetrate into the new theory of topological descriptions of integrable Hamiltonian differential )] TJ ET
BT 34.016 431.594 Td /F1 9.0 Tf [(equations. The book includes numerous graphical sheets drawn by the author, which are presented in special sections of "Visual material". These pictures illustrate the mathematical ideas and )] TJ ET
BT 34.016 420.605 Td /F1 9.0 Tf [(results contained in the book. Using these pictures, the reader can understand many modern mathematical ideas and methods. Although "Visual Geometry and Topology" is about mathematics, )] TJ ET
BT 34.016 409.616 Td /F1 9.0 Tf [(Fomenko has written and illustrated this book so that students and researchers from all the natural sciences and also artists and art students will find something of interest within its pages.)] TJ ET
BT 36.266 377.554 Td /F1 8.0 Tf [(mirrors-and-reflections-the-geometry-of-finite-reflection-groups)] TJ ET
BT 568.176 377.761 Td /F1 8.0 Tf [(Downloaded from )] TJ ET
BT 633.088 377.554 Td /F1 8.0 Tf [(tunaipsum.com)] TJ ET
BT 687.328 377.761 Td /F1 8.0 Tf [( on September 25, 2022 by guest)] TJ ET
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