Geometry I

Geometry I
Author: Marcel Berger
Publsiher: Springer Science & Business Media
Total Pages: 432
Release: 2009-01-21
ISBN 10: 9783540116585
ISBN 13: 3540116583
Language: EN, FR, DE, ES & NL


Geometry I Book Review:

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

Elementary Geometry
Author: John Roe
Publsiher: Clarendon Press
Total Pages: 307
Release: 1993
ISBN 10: 9780198534563
ISBN 13: 0198534566
Language: EN, FR, DE, ES & NL


Elementary Geometry Book Review:

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

Geometry
Author: Serge Lang,Gene Murrow
Publsiher: Springer Science & Business Media
Total Pages: 394
Release: 1988-08-25
ISBN 10: 9780387966540
ISBN 13: 0387966544
Language: EN, FR, DE, ES & NL


Geometry Book Review:

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

Geometry II
Author: Marcel Berger
Publsiher: Springer Science & Business Media
Total Pages: 406
Release: 2009-01-21
ISBN 10: 9783540170150
ISBN 13: 3540170154
Language: EN, FR, DE, ES & NL


Geometry II Book Review:

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

Geometry
Author: Michele Audin
Publsiher: Springer Science & Business Media
Total Pages: 361
Release: 2002-09-19
ISBN 10: 9783540434986
ISBN 13: 3540434984
Language: EN, FR, DE, ES & NL


Geometry Book Review:

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.

What is Geometry?

What is Geometry?
Author: Giandomenico Sica
Publsiher: Polimetrica s.a.s.
Total Pages: 268
Release: 2006
ISBN 10: 8876990305
ISBN 13: 9788876990304
Language: EN, FR, DE, ES & NL


What is Geometry? Book Review:

Taxicab Geometry

Taxicab Geometry
Author: Eugene F. Krause
Publsiher: Courier Corporation
Total Pages: 88
Release: 1986-01-01
ISBN 10: 9780486252025
ISBN 13: 0486252027
Language: EN, FR, DE, ES & NL


Taxicab Geometry Book Review:

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

Principles of Algebraic Geometry
Author: Phillip Griffiths,Joseph Harris
Publsiher: John Wiley & Sons
Total Pages: 832
Release: 2014-08-21
ISBN 10: 111862632X
ISBN 13: 9781118626320
Language: EN, FR, DE, ES & NL


Principles of Algebraic Geometry Book Review:

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.

Geometry

Geometry
Author: V. V. Prasolov, V. M. Tikhomirov
Publsiher: American Mathematical Soc.
Total Pages: 257
Release: 2001-06-12
ISBN 10: 1470425432
ISBN 13: 9781470425432
Language: EN, FR, DE, ES & NL


Geometry Book Review:

This book provides a systematic introduction to various geometries, including Euclidean, affine, projective, spherical, and hyperbolic geometries. Also included is a chapter on infinite-dimensional generalizations of Euclidean and affine geometries. A uniform approach to different geometries, based on Klein's Erlangen Program is suggested, and similarities of various phenomena in all geometries are traced. An important notion of duality of geometric objects is highlighted throughout the book. The authors also include a detailed presentation of the theory of conics and quadrics, including the theory of conics for non-Euclidean geometries. The book contains many beautiful geometric facts and has plenty of problems, most of them with solutions, which nicely supplement the main text. With more than 150 figures illustrating the arguments, the book can be recommended as a textbook for undergraduate and graduate-level courses in geometry.

Euclidean Geometry and Transformations

Euclidean Geometry and Transformations
Author: Clayton W. Dodge
Publsiher: Courier Corporation
Total Pages: 295
Release: 2004
ISBN 10: 9780486434766
ISBN 13: 0486434761
Language: EN, FR, DE, ES & NL


Euclidean Geometry and Transformations Book Review:

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

Geometry
Author: David A. Brannan,David Alexander Brannan,Matthew F. Esplen,Jeremy J. Gray
Publsiher: Cambridge University Press
Total Pages: 497
Release: 1999-04-13
ISBN 10: 9780521597876
ISBN 13: 0521597870
Language: EN, FR, DE, ES & NL


Geometry Book Review:

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

Geometry's Great Thinkers

Geometry's Great Thinkers
Author: Bonnie Leech
Publsiher: The Rosen Publishing Group, Inc
Total Pages: 32
Release: 2009-12-15
ISBN 10: 9781404260733
ISBN 13: 1404260730
Language: EN, FR, DE, ES & NL


Geometry's Great Thinkers Book Review:

Introduces famous figures in the history of geometry and explains the principles that they proposed.

Geometry in Ancient and Medieval India

Geometry in Ancient and Medieval India
Author: T. A. Sarasvati Amma
Publsiher: Motilal Banarsidass Publ.
Total Pages: 277
Release: 1999
ISBN 10: 9788120813441
ISBN 13: 8120813448
Language: EN, FR, DE, ES & NL


Geometry in Ancient and Medieval India Book Review:

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

Basic Concepts of Geometry
Author: Walter Prenowitz,Meyer Jordan
Publsiher: Rowman & Littlefield
Total Pages: 370
Release: 1986-06
ISBN 10: 9780912675480
ISBN 13: 0912675489
Language: EN, FR, DE, ES & NL


Basic Concepts of Geometry Book Review:

No descriptive material is available for this title.

Geometry of Design

Geometry of Design
Author: Kimberly Elam
Publsiher: Princeton Architectural Press
Total Pages: 107
Release: 2001
ISBN 10: 9781568982496
ISBN 13: 1568982496
Language: EN, FR, DE, ES & NL


Geometry of Design Book Review:

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

Philosophy of Geometry from Riemann to Poincaré
Author: R. Torretti
Publsiher: Taylor & Francis
Total Pages: 459
Release: 1978-11-30
ISBN 10: 9789027709202
ISBN 13: 9027709203
Language: EN, FR, DE, ES & NL


Philosophy of Geometry from Riemann to Poincaré Book Review:

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

Multiple View Geometry in Computer Vision
Author: Richard Hartley,Andrew Zisserman
Publsiher: Cambridge University Press
Total Pages: 655
Release: 2003
ISBN 10: 9780521540513
ISBN 13: 0521540518
Language: EN, FR, DE, ES & NL


Multiple View Geometry in Computer Vision Book Review:

How to reconstruct scenes from images using geometry and algebra, with applications to computer vision.

Nonlinear partial differential equations in differential geometry

Nonlinear partial differential equations in differential geometry
Author: Robert Hardt
Publsiher: American Mathematical Soc.
Total Pages: 339
Release: 1996
ISBN 10: 9780821804315
ISBN 13: 0821804316
Language: EN, FR, DE, ES & NL


Nonlinear partial differential equations in differential geometry Book Review:

What distinguishes differential geometry in the last half of the twentieth century from its earlier history is the use of nonlinear partial differential equations in the study of curved manifolds, submanifolds, mapping problems, and function theory on manifolds, among other topics. The differential equations appear as tools and as objects of study, with analytic and geometric advances fueling each other in the current explosion of progress in this area of geometry in the last twenty years. This book contains lecture notes of minicourses at the Regional Geometry Institute at Park City, Utah, in July 1992. Presented here are surveys of breaking developments in a number of areas of nonlinear partial differential equations in differential geometry. The authors of the articles are not only excellent expositors, but are also leaders in this field of research. All of the articles provide in-depth treatment of the topics and require few prerequisites and less background than current research articles.

Gauge Theory and Symplectic Geometry

Gauge Theory and Symplectic Geometry
Author: Jacques Hurtubise,François Lalonde
Publsiher: Springer Science & Business Media
Total Pages: 212
Release: 1997-03-31
ISBN 10: 9780792345008
ISBN 13: 0792345002
Language: EN, FR, DE, ES & NL


Gauge Theory and Symplectic Geometry Book Review:

Gauge theory, symplectic geometry and symplectic topology are important areas at the crossroads of several mathematical disciplines. The present book, with expertly written surveys of recent developments in these areas, includes some of the first expository material of Seiberg-Witten theory, which has revolutionised the subjects since its introduction in late 1994. Topics covered include: introductions to Seiberg-Witten theory, to applications of the S-W theory to four-dimensional manifold topology, and to the classification of symplectic manifolds; an introduction to the theory of pseudo-holomorphic curves and to quantum cohomology; algebraically integrable Hamiltonian systems and moduli spaces; the stable topology of gauge theory, Morse-Floer theory; pseudo-convexity and its relations to symplectic geometry; generating functions; Frobenius manifolds and topological quantum field theory.

Fractal Geometry in Architecture and Design

Fractal Geometry in Architecture and Design
Author: Carl Bovill
Publsiher: Springer Science & Business Media
Total Pages: 195
Release: 1996-03-28
ISBN 10: 9780817637958
ISBN 13: 0817637958
Language: EN, FR, DE, ES & NL


Fractal Geometry in Architecture and Design Book Review:

na broad sense Design Science is the grammar of a language of images Irather than of words. Modern communication techniques enable us to transmit and reconstitute images without needing to know a specific verbal sequence language such as the Morse code or Hungarian. International traffic signs use international image symbols which are not specific to any particular verbal language. An image language differs from a verbal one in that the latter uses a linear string of symbols, whereas the former is multi dimensional. Architectural renderings commonly show projections onto three mutual ly perpendicular planes, or consist of cross sections at different altitudes capa ble of being stacked and representing different floor plans. Such renderings make it difficult to imagine buildings comprising ramps and other features which disguise the separation between floors, and consequently limit the cre ative process of the architect. Analogously, we tend to analyze natural struc tures as if nature had used similar stacked renderings, rather than, for instance, a system of packed spheres, with the result that we fail to perceive the system of organization determining the form of such structures. Perception is a complex process. Our senses record; they are analogous to audio or video devices. We cannot, however, claim that such devices perceive.