Geometry

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Geometry I
Author: Marcel Berger
Publisher: Springer Science & Business Media
Release Date: 2009-01-21
ISBN 10: 9783540116585
Pages: 432 pages

Geometry I Book Summary : 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.

Elementary Geometry
Author: John Roe
Publisher: Clarendon Press
Release Date: 1993
ISBN 10: 9780198534563
Pages: 307 pages

Elementary Geometry Book Summary : This text is a careful introduction to geometry. While developing geometry for its own sake, the book also emphasizes the links between geometry and other branches of pure and applied mathematics.

Geometry
Author: Serge Lang,Gene Murrow
Publisher: Springer Science & Business Media
Release Date: 1988-08-25
ISBN 10: 9780387966540
Pages: 394 pages

Geometry Book Summary : At last: geometry in an exemplary, accessible and attractive form! The authors emphasise both the intellectually stimulating parts of geometry and routine arguments or computations in concrete or classical cases, as well as practical and physical applications. They also show students the fundamental concepts and the difference between important results and minor technical routines. Altogether, the text presents a coherent high school curriculum for the geometry course, naturally backed by numerous examples and exercises.

Geometry II
Author: Marcel Berger
Publisher: Springer Science & Business Media
Release Date: 2009-01-21
ISBN 10: 9783540170150
Pages: 406 pages

Geometry II Book Summary : This is the second of a two-volume textbook that provides a very readable and lively presentation of large parts of geometry in the classical sense. For each topic the author presents a theorem that is esthetically pleasing and easily stated, although the proof may be quite hard and concealed. Yet another strong trait of the book is that it provides a comprehensive and unified reference source for the field of geometry in the full breadth of its subfields and ramifications.

Geometry
Author: Michele Audin
Publisher: Springer Science & Business Media
Release Date: 2002-09-19
ISBN 10: 9783540434986
Pages: 361 pages

Geometry Book Summary : Geometry, this very ancient field of study of mathematics, frequently remains too little familiar to students. Michle Audin, professor at the University of Strasbourg, has written a book allowing them to remedy this situation and, starting from linear algebra, extend their knowledge of affine, Euclidean and projective geometry, conic sections and quadrics, curves and surfaces. It includes many nice theorems like the nine-point circle, Feuerbach's theorem, and so on. Everything is presented clearly and rigourously. Each property is proved, examples and exercises illustrate the course content perfectly. Precise hints for most of the exercises are provided at the end of the book. This very comprehensive text is addressed to students at upper undergraduate and Master's level to discover geometry and deepen their knowledge and understanding.

Taxicab Geometry
Author: Eugene F. Krause
Publisher: Courier Corporation
Release Date: 1986-01-01
ISBN 10: 9780486252025
Pages: 88 pages

Taxicab Geometry Book Summary : Develops a simple non-Euclidean geometry and explores some of its practical applications through graphs, research problems, and exercises. Includes selected answers.

Principles of Algebraic Geometry
Author: Phillip Griffiths,Joseph Harris
Publisher: John Wiley & Sons
Release Date: 2014-08-21
ISBN 10: 111862632X
Pages: 832 pages

Principles of Algebraic Geometry Book Summary : A comprehensive, self-contained treatment presenting general results of the theory. Establishes a geometric intuition and a working facility with specific geometric practices. Emphasizes applications through the study of interesting examples and the development of computational tools. Coverage ranges from analytic to geometric. Treats basic techniques and results of complex manifold theory, focusing on results applicable to projective varieties, and includes discussion of the theory of Riemann surfaces and algebraic curves, algebraic surfaces and the quadric line complex as well as special topics in complex manifolds.

Euclidean Geometry and Transformations
Author: Clayton W. Dodge
Publisher: Courier Corporation
Release Date: 2004
ISBN 10: 9780486434766
Pages: 295 pages

Euclidean Geometry and Transformations Book Summary : This introduction to Euclidean geometry emphasizes transformations, particularly isometries and similarities. Suitable for undergraduate courses, it includes numerous examples, many with detailed answers. 1972 edition.

Geometry
Author: David A. Brannan,David Alexander Brannan,Matthew F. Esplen,Jeremy J. Gray
Publisher: Cambridge University Press
Release Date: 1999-04-13
ISBN 10: 9780521597876
Pages: 497 pages

Geometry Book Summary : Textbook for undergraduate courses on geometry or for self study that reveals the intricacies of geometry.

Geometry's Great Thinkers
Author: Bonnie Leech
Publisher: The Rosen Publishing Group, Inc
Release Date: 2009-12-15
ISBN 10: 9781404260733
Pages: 32 pages

Geometry's Great Thinkers Book Summary : Introduces famous figures in the history of geometry and explains the principles that they proposed.

Geometry in Ancient and Medieval India
Author: T. A. Sarasvati Amma
Publisher: Motilal Banarsidass Publ.
Release Date: 1999
ISBN 10: 9788120813441
Pages: 277 pages

Geometry in Ancient and Medieval India Book Summary : This book is a geometrical survey of the Sanskrit and Prakrt scientific and quasi-scientific literature of India, beginning with the Vedic literature and ending with the early part of the 17th century. It deals in detail with the Sulbasutras in the Vedic literature, with the mathematical parts of Jaina Canonical works and of the Hindu Siddhantas and with the contributions to geometry made by the astronomer mathematicians Aryabhata I & II, Sripati, Bhaskara I & II, Sangamagrama Madhava, Paramesvara, Nilakantha, his disciples and a host of others. The works of the mathematicians Mahavira, Sridhara and Narayana Pandita and the Bakshali Manuscript have also been studied. The work seeks to explode the theory that the Indian mathematical genius was predominantly algebraic and computational and that it eschewed proofs and rationales. There was a school in India which delighted to demonstrate even algebraical results geometrically. In their search for a sufficiently good approximation for the value of pie Indian mathematicians had discovered the tool of integration. Which they used equally effectively for finding the surface area and volume of a sphere and in other fields. This discovery of integration was the sequel of the inextricable blending of geometry and series mathematics.

Basic Concepts of Geometry
Author: Walter Prenowitz,Meyer Jordan
Publisher: Rowman & Littlefield
Release Date: 1986-06
ISBN 10: 9780912675480
Pages: 370 pages

Basic Concepts of Geometry Book Summary : No descriptive material is available for this title.

Geometry of Design
Author: Kimberly Elam
Publisher: Princeton Architectural Press
Release Date: 2001
ISBN 10: 9781568982496
Pages: 107 pages

Geometry of Design Book Summary : 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.

Philosophy of Geometry from Riemann to Poincaré
Author: R. Torretti
Publisher: Taylor & Francis
Release Date: 1978-11-30
ISBN 10: 9789027709202
Pages: 459 pages

Philosophy of Geometry from Riemann to Poincaré Book Summary : Geometry has fascinated philosophers since the days of Thales and Pythagoras. In the 17th and 18th centuries it provided a paradigm of knowledge after which some thinkers tried to pattern their own metaphysical systems. But after the discovery of non-Euclidean geometries in the 19th century, the nature and scope of geometry became a bone of contention. Philosophical concern with geometry increased in the 1920's after Einstein used Riemannian geometry in his theory of gravitation. During the last fifteen or twenty years, renewed interest in the latter theory -prompted by advances in cosmology -has brought geometry once again to the forefront of philosophical discussion. The issues at stake in the current epistemological debate about geometry can only be understood in the light of history, and, in fact, most recent works on the subject include historical material. In this book, I try to give a selective critical survey of modern philosophy of geometry during its seminal period, which can be said to have begun shortly after 1850 with Riemann's generalized conception of space and to achieve some sort of completion at the turn of the century with Hilbert's axiomatics and Poincare's conventionalism. The philosophy of geometry of Einstein and his contemporaries will be the subject of another book. The book is divided into four chapters. Chapter 1 provides back ground information about the history of science and philosophy.

Multiple View Geometry in Computer Vision
Author: Richard Hartley,Andrew Zisserman
Publisher: Cambridge University Press
Release Date: 2003
ISBN 10: 9780521540513
Pages: 655 pages

Multiple View Geometry in Computer Vision Book Summary : How to reconstruct scenes from images using geometry and algebra, with applications to computer vision.