geometry

Book Title : Geometry I
Author : Marcel Berger
Publisher : Springer Science & Business Media
Release Date : 2009-01-21
Pages : 432
ISBN : 3540116583
Available Language : English, Spanish, And French
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EBOOK SYNOPSIS:

Volume I of this 2-volume textbook provides a lively and readable presentation of large parts of classical geometry. For each topic the author presents an esthetically pleasing and easily stated theorem - although the proof may be difficult and concealed. The mathematical text is illustrated with figures, open problems and references to modern literature, providing a unified reference to geometry in the full breadth of its subfields and ramifications.

Book Title : Geometry Topology and Physics Second Edition
Author : Mikio Nakahara
Publisher : CRC Press
Release Date : 2003-06-04
Pages : 596
ISBN : 0750306068
Available Language : English, Spanish, And French
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EBOOK SYNOPSIS:

Differential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies of condensed matter physics, gravity, and particle physics. Geometry, Topology and Physics, Second Edition introduces the ideas and techniques of differential geometry and topology at a level suitable for postgraduate students and researchers in these fields. The second edition of this popular and established text incorporates a number of changes designed to meet the needs of the reader and reflect the development of the subject. The book features a considerably expanded first chapter, reviewing aspects of path integral quantization and gauge theories. Chapter 2 introduces the mathematical concepts of maps, vector spaces, and topology. The following chapters focus on more elaborate concepts in geometry and topology and discuss the application of these concepts to liquid crystals, superfluid helium, general relativity, and bosonic string theory. Later chapters unify geometry and topology, exploring fiber bundles, characteristic classes, and index theorems. New to this second edition is the proof of the index theorem in terms of supersymmetric quantum mechanics. The final two chapters are devoted to the most fascinating applications of geometry and topology in contemporary physics, namely the study of anomalies in gauge field theories and the analysis of Polakov's bosonic string theory from the geometrical point of view. Geometry, Topology and Physics, Second Edition is an ideal introduction to differential geometry and topology for postgraduate students and researchers in theoretical and mathematical physics.

Book Title : Active Geometry
Author : A. David Thomas
Publisher : Brooks/Cole Publishing Company
Release Date : 1998
Pages : 140
ISBN : 0534344852
Available Language : English, Spanish, And French
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EBOOK SYNOPSIS:

Written by a nationally known mathematics educator, this lab manual provides activities for students using free/shareware software tools. Active Geometry offers inquiry-based, student-centered, technology-rich topical investigations into the study of geometry. The tools that Thomas includes leads students to construct, observe, conjecture, and debate their thinking. After completing the labs, students are ready for and appreciative of analytic explanations of geometric concepts.

Book Title : Geometry
Author : Serge Lang
Publisher : Springer Science & Business Media
Release Date : 1988
Pages : 394
ISBN : 3540966544
Available Language : English, Spanish, And French
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Book Title : Elements of geometry
Author : Adrien Marie Legendre
Publisher :
Release Date : 1825
Pages : 224
ISBN : UVA:X001908883
Available Language : English, Spanish, And French
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Book Title : Euclidean Geometry in Mathematical Olympiads
Author : Evan Chen
Publisher : The Mathematical Association of America
Release Date : 2016-05-02
Pages : 311
ISBN : 9780883858394
Available Language : English, Spanish, And French
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This is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. Topics covered included cyclic quadrilaterals, power of a point, homothety, triangle centers; along the way the reader will meet such classical gems as the nine-point circle, the Simson line, the symmedian and the mixtilinear incircle, as well as the theorems of Euler, Ceva, Menelaus, and Pascal. Another part is dedicated to the use of complex numbers and barycentric coordinates, granting the reader both a traditional and computational viewpoint of the material. The final part consists of some more advanced topics, such as inversion in the plane, the cross ratio and projective transformations, and the theory of the complete quadrilateral. The exposition is friendly and relaxed, and accompanied by over 300 beautifully drawn figures. The emphasis of this book is placed squarely on the problems. Each chapter contains carefully chosen worked examples, which explain not only the solutions to the problems but also describe in close detail how one would invent the solution to begin with. The text contains as selection of 300 practice problems of varying difficulty from contests around the world, with extensive hints and selected solutions. This book is especially suitable for students preparing for national or international mathematical olympiads, or for teachers looking for a text for an honor class.

Book Title : Geometry of Design
Author : Kimberly Elam
Publisher : Princeton Architectural Press
Release Date : 2001
Pages : 107
ISBN : 1568982496
Available Language : English, Spanish, And French
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EBOOK SYNOPSIS:

This work takes a close look at a broad range of 20th-century examples of design, architecture and illustration, revealing underlying geometric structures in their compositions.

Book Title : Euclidean and Non Euclidean Geometry International Student Edition
Author : Patrick J. Ryan
Publisher : Cambridge University Press
Release Date : 2009-09-04
Pages : 232
ISBN : 9780521127073
Available Language : English, Spanish, And French
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EBOOK SYNOPSIS:

This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic.

Book Title : First Lessons in Geometry
Author : Thomas Hill
Publisher :
Release Date : 1861
Pages : 144
ISBN : NYPL:33433069095630
Available Language : English, Spanish, And French
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Book Title : Geometry
Author : David A. Brannan
Publisher : Cambridge University Press
Release Date : 1999-04-13
Pages : 497
ISBN : 0521597870
Available Language : English, Spanish, And French
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EBOOK SYNOPSIS:

Textbook for undergraduate courses on geometry or for self study that reveals the intricacies of geometry.