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Author :
Publisher : Rex Bookstore, Inc.
ISBN 13 : 9789712345333
Total Pages : 530 pages
Book Rating : 4.3/5 (453 download)
Download or read book E-math Iii' 2007 Ed.(geometry) written by and published by Rex Bookstore, Inc.. This book was released on with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher : Rex Bookstore, Inc.
ISBN 13 : 9789712346873
Total Pages : 256 pages
Book Rating : 4.3/5 (468 download)
Download or read book E-math Iii Tm' 2007 Ed.(geometry) written by and published by Rex Bookstore, Inc.. This book was released on with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Charles Stanley Ogilvy
Publisher : Courier Corporation
ISBN 13 : 0486265307
Total Pages : 191 pages
Book Rating : 4.4/5 (862 download)
Download or read book Excursions in Geometry written by Charles Stanley Ogilvy and published by Courier Corporation. This book was released on 1990-01-01 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: A straightedge, compass, and a little thought are all that's needed to discover the intellectual excitement of geometry. Harmonic division and Apollonian circles, inversive geometry, hexlet, Golden Section, more. 132 illustrations.
Author : R. J. Adler
Publisher : Springer Science & Business Media
ISBN 13 : 0387481168
Total Pages : 455 pages
Book Rating : 4.3/5 (874 download)
Download or read book Random Fields and Geometry written by R. J. Adler and published by Springer Science & Business Media. This book was released on 2009-01-29 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to a completely new approach to geometric problems arising in the study of random fields. The groundbreaking material in Part III, for which the background is carefully prepared in Parts I and II, is of both theoretical and practical importance, and striking in the way in which problems arising in geometry and probability are beautifully intertwined. "Random Fields and Geometry" will be useful for probabilists and statisticians, and for theoretical and applied mathematicians who wish to learn about new relationships between geometry and probability. It will be helpful for graduate students in a classroom setting, or for self-study. Finally, this text will serve as a basic reference for all those interested in the companion volume of the applications of the theory.
Author : Ezra Miller
Publisher : American Mathematical Soc.
ISBN 13 : 0821837362
Total Pages : 705 pages
Book Rating : 4.8/5 (218 download)
Download or read book Geometric Combinatorics written by Ezra Miller and published by American Mathematical Soc.. This book was released on 2007 with total page 705 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric combinatorics describes a wide area of mathematics that is primarily the study of geometric objects and their combinatorial structure. This text is a compilation of expository articles at the interface between combinatorics and geometry.
Author : Roger A. Johnson
Publisher : Courier Corporation
ISBN 13 : 048615498X
Total Pages : 338 pages
Book Rating : 4.4/5 (861 download)
Download or read book Advanced Euclidean Geometry written by Roger A. Johnson and published by Courier Corporation. This book was released on 2013-01-08 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. 1929 edition.
Author : Vaughn Climenhaga
Publisher : American Mathematical Soc.
ISBN 13 : 1470434792
Total Pages : 442 pages
Book Rating : 4.4/5 (74 download)
Download or read book From Groups to Geometry and Back written by Vaughn Climenhaga and published by American Mathematical Soc.. This book was released on 2017-04-07 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Groups arise naturally as symmetries of geometric objects, and so groups can be used to understand geometry and topology. Conversely, one can study abstract groups by using geometric techniques and ultimately by treating groups themselves as geometric objects. This book explores these connections between group theory and geometry, introducing some of the main ideas of transformation groups, algebraic topology, and geometric group theory. The first half of the book introduces basic notions of group theory and studies symmetry groups in various geometries, including Euclidean, projective, and hyperbolic. The classification of Euclidean isometries leads to results on regular polyhedra and polytopes; the study of symmetry groups using matrices leads to Lie groups and Lie algebras. The second half of the book explores ideas from algebraic topology and geometric group theory. The fundamental group appears as yet another group associated to a geometric object and turns out to be a symmetry group using covering spaces and deck transformations. In the other direction, Cayley graphs, planar models, and fundamental domains appear as geometric objects associated to groups. The final chapter discusses groups themselves as geometric objects, including a gentle introduction to Gromov's theorem on polynomial growth and Grigorchuk's example of intermediate growth. The book is accessible to undergraduate students (and anyone else) with a background in calculus, linear algebra, and basic real analysis, including topological notions of convergence and connectedness. This book is a result of the MASS course in algebra at Penn State University in the fall semester of 2009.
Author : IUrii Dmitrievich Burago
Publisher :
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.:/5 (12 download)
Download or read book Geometry III written by IUrii Dmitrievich Burago and published by . This book was released on 1992 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George E. Martin
Publisher : Springer Science & Business Media
ISBN 13 : 1461206294
Total Pages : 210 pages
Book Rating : 4.4/5 (612 download)
Download or read book Geometric Constructions written by George E. Martin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric constructions have been a popular part of mathematics throughout history. The first chapter here is informal and starts from scratch, introducing all the geometric constructions from high school that have been forgotten or were never learned. The second chapter formalises Plato's game, and examines problems from antiquity such as the impossibility of trisecting an arbitrary angle. After that, variations on Plato's theme are explored: using only a ruler, a compass, toothpicks, a ruler and dividers, a marked rule, or a tomahawk, ending in a chapter on geometric constructions by paperfolding. The author writes in a charming style and nicely intersperses history and philosophy within the mathematics, teaching a little geometry and a little algebra along the way. This is as much an algebra book as it is a geometry book, yet since all the algebra and geometry needed is developed within the text, very little mathematical background is required. This text has been class tested for several semesters with a master's level class for secondary teachers.
Author : Robert J. Adler
Publisher : SIAM
ISBN 13 : 0898716934
Total Pages : 295 pages
Book Rating : 4.8/5 (987 download)
Download or read book The Geometry of Random Fields written by Robert J. Adler and published by SIAM. This book was released on 2010-01-28 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: An important treatment of the geometric properties of sets generated by random fields, including a comprehensive treatment of the mathematical basics of random fields in general. It is a standard reference for all researchers with an interest in random fields, whether they be theoreticians or come from applied areas.
Author : Frank Nielsen
Publisher : Springer Science & Business Media
ISBN 13 : 3319053175
Total Pages : 397 pages
Book Rating : 4.3/5 (19 download)
Download or read book Geometric Theory of Information written by Frank Nielsen and published by Springer Science & Business Media. This book was released on 2014-05-08 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together geometric tools and their applications for Information analysis. It collects current and many uses of in the interdisciplinary fields of Information Geometry Manifolds in Advanced Signal, Image & Video Processing, Complex Data Modeling and Analysis, Information Ranking and Retrieval, Coding, Cognitive Systems, Optimal Control, Statistics on Manifolds, Machine Learning, Speech/sound recognition and natural language treatment which are also substantially relevant for the industry.
Author : Sergey Novikov
Publisher : American Mathematical Soc.
ISBN 13 : 1470455927
Total Pages : 480 pages
Book Rating : 4.4/5 (74 download)
Download or read book Integrability, Quantization, and Geometry: II. Quantum Theories and Algebraic Geometry written by Sergey Novikov and published by American Mathematical Soc.. This book was released on 2021-04-12 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of articles written in memory of Boris Dubrovin (1950–2019). The authors express their admiration for his remarkable personality and for the contributions he made to mathematical physics. For many of the authors, Dubrovin was a friend, colleague, inspiring mentor, and teacher. The contributions to this collection of papers are split into two parts: “Integrable Systems” and “Quantum Theories and Algebraic Geometry”, reflecting the areas of main scientific interests of Dubrovin. Chronologically, these interests may be divided into several parts: integrable systems, integrable systems of hydrodynamic type, WDVV equations (Frobenius manifolds), isomonodromy equations (flat connections), and quantum cohomology. The articles included in the first part are more or less directly devoted to these areas (primarily with the first three listed above). The second part contains articles on quantum theories and algebraic geometry and is less directly connected with Dubrovin's early interests.
Author : Eberhard Zeidler
Publisher : Springer Science & Business Media
ISBN 13 : 3540853774
Total Pages : 1125 pages
Book Rating : 4.5/5 (48 download)
Download or read book Quantum Field Theory II: Quantum Electrodynamics written by Eberhard Zeidler and published by Springer Science & Business Media. This book was released on 2008-09-03 with total page 1125 pages. Available in PDF, EPUB and Kindle. Book excerpt: And God said, Let there be light; and there was light. Genesis 1,3 Light is not only the basis of our biological existence, but also an essential source of our knowledge about the physical laws of nature, ranging from the seventeenth century geometrical optics up to the twentieth century theory of general relativity and quantum electrodynamics. Folklore Don’t give us numbers: give us insight! A contemporary natural scientist to a mathematician The present book is the second volume of a comprehensive introduction to themathematicalandphysicalaspectsofmodernquantum?eldtheorywhich comprehends the following six volumes: Volume I: Basics in Mathematics and Physics Volume II: Quantum Electrodynamics Volume III: Gauge Theory Volume IV: Quantum Mathematics Volume V: The Physics of the Standard Model Volume VI: Quantum Gravitation and String Theory. It is our goal to build a bridge between mathematicians and physicists based on the challenging question about the fundamental forces in • macrocosmos (the universe) and • microcosmos (the world of elementary particles). The six volumes address a broad audience of readers, including both und- graduate and graduate students, as well as experienced scientists who want to become familiar with quantum ?eld theory, which is a fascinating topic in modern mathematics and physics.
Author : N.S. Narasimha Sastry
Publisher : Springer Science & Business Media
ISBN 13 : 1461407095
Total Pages : 348 pages
Book Rating : 4.4/5 (614 download)
Download or read book Buildings, Finite Geometries and Groups written by N.S. Narasimha Sastry and published by Springer Science & Business Media. This book was released on 2011-11-13 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the Proceedings of the ICM 2010 Satellite Conference on “Buildings, Finite Geometries and Groups” organized at the Indian Statistical Institute, Bangalore, during August 29 – 31, 2010. This is a collection of articles by some of the currently very active research workers in several areas related to finite simple groups, Chevalley groups and their generalizations: theory of buildings, finite incidence geometries, modular representations, Lie theory, etc. These articles reflect the current major trends in research in the geometric and combinatorial aspects of the study of these groups. The unique perspective the authors bring in their articles on the current developments and the major problems in their area is expected to be very useful to research mathematicians, graduate students and potential new entrants to these areas.
Author : Francis Buekenhout
Publisher : Springer Science & Business Media
ISBN 13 : 3642344534
Total Pages : 597 pages
Book Rating : 4.6/5 (423 download)
Download or read book Diagram Geometry written by Francis Buekenhout and published by Springer Science & Business Media. This book was released on 2013-01-26 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained introduction to diagram geometry. Tight connections with group theory are shown. It treats thin 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 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 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 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 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 recourse to further literature. A strong point of the book is the density of examples.
Author : Weiping Li
Publisher : American Mathematical Soc.
ISBN 13 : 0821852957
Total Pages : 210 pages
Book Rating : 4.8/5 (218 download)
Download or read book Topology and Geometry in Dimension Three written by Weiping Li and published by American Mathematical Soc.. This book was released on 2011 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of a conference held from June 4-6, 2010, at Oklahoma State University, in honor of William (Bus) Jaco's 70th birthday. His contributions to research in low dimensional geometry and topology and to the American mathematical community, especially through his work for the American Mathematical Society, were recognized during the conference. The focus of the conference was on triangulations and geometric structures for three-dimensional manifolds. The papers in this volume present significant new results on these topics, as well as in geometric group theory.
Author : Giuseppe Dito
Publisher : World Scientific
ISBN 13 : 981442501X
Total Pages : 537 pages
Book Rating : 4.8/5 (144 download)
Download or read book Noncommutative Geometry and Physics 3 written by Giuseppe Dito and published by World Scientific. This book was released on 2013 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Noncommutative differential geometry has many actual and potential applications to several domains in physics ranging from solid state to quantization of gravity. The strategy is to formulate usual differential geometry in a somewhat unusual manner, using in particular operator algebras and related concepts, so as to be able to plug in noncommutativity in a natural way. Algebraic tools such as K-theory and cyclic cohomology and homology play an important role in this field.
