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.

Geometry

Geometry
Author: Serge Lang,Gene Murrow
Publsiher: Springer Science & Business Media
Total Pages: 394
Release: 2013-04-17
ISBN 10: 147572022X
ISBN 13: 9781475720228
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.

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 In Advanced Pure Mathematics

Geometry In Advanced Pure Mathematics
Author: Bullett Shaun,Fearn Tom,Smith Frank
Publsiher: World Scientific
Total Pages: 236
Release: 2017-03-07
ISBN 10: 1786341093
ISBN 13: 9781786341099
Language: EN, FR, DE, ES & NL


Geometry In Advanced Pure Mathematics Book Review:

This book leads readers from a basic foundation to an advanced level understanding of geometry in advanced pure mathematics. Chapter by chapter, readers will be led from a foundation level understanding to advanced level understanding. This is the perfect text for graduate or PhD mathematical-science students looking for support in algebraic geometry, geometric group theory, modular group, holomorphic dynamics and hyperbolic geometry, syzygies and minimal resolutions, and minimal surfaces. Geometry in Advanced Pure Mathematics is the fourth volume of the LTCC Advanced Mathematics Series. This series is the first to provide advanced introductions to mathematical science topics to advanced students of mathematics. Editor the three joint heads of the London Taught Course Centre for PhD Students in the Mathematical Sciences (LTCC), each book supports readers in broadening their mathematical knowledge outside of their immediate research disciplines while also covering specialized key areas.

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

Geometry
Author: John R. Silvester
Publsiher: Oxford University Press on Demand
Total Pages: 313
Release: 2001
ISBN 10: 9780198508250
ISBN 13: 0198508255
Language: EN, FR, DE, ES & NL


Geometry Book Review:

''This book is densely packed with useful and interesting geometrical insights whilst the written style is engaging and often amusing... John Silvester has written a work of quality and substance and I strongly recommended it for use by anyone seeking to extend their knowledge of geometry beyond the A level stage. As one who is intrigued by geometry, I shall certainly keep my copy permanently close to hand'' -The Mathematical GazetteThis book offers a guided tour of geometry from euclid through to algebraic geometry. It shows how mathematicians use a variety of techniques to tackle problems , and it links geometry to other branches of mathematics. Many problems and examples are included to aid understanding.

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: 2012-10-04
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.

Geometry: Euclid and Beyond

Geometry: Euclid and Beyond
Author: Robin Hartshorne
Publsiher: Springer Science & Business Media
Total Pages: 528
Release: 2005-09-28
ISBN 10: 9780387986500
ISBN 13: 0387986502
Language: EN, FR, DE, ES & NL


Geometry: Euclid and Beyond Book Review:

This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.

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.

Lectures on Classical Differential Geometry

Lectures on Classical Differential Geometry
Author: Dirk Jan Struik
Publsiher: Courier Corporation
Total Pages: 232
Release: 1961
ISBN 10: 9780486656090
ISBN 13: 0486656098
Language: EN, FR, DE, ES & NL


Lectures on Classical Differential Geometry Book Review:

Elementary, yet authoritative and scholarly, this book offers an excellent brief introduction to the classical theory of differential geometry. It is aimed at advanced undergraduate and graduate students who will find it not only highly readable but replete with illustrations carefully selected to help stimulate the student's visual understanding of geometry. The text features an abundance of problems, most of which are simple enough for class use, and often convey an interesting geometrical fact. A selection of more difficult problems has been included to challenge the ambitious student. Written by a noted mathematician and historian of mathematics, this volume presents the fundamental conceptions of the theory of curves and surfaces and applies them to a number of examples. Dr. Struik has enhanced the treatment with copious historical, biographical, and bibliographical references that place the theory in context and encourage the student to consult original sources and discover additional important ideas there. For this second edition, Professor Struik made some corrections and added an appendix with a sketch of the application of Cartan's method of Pfaffians to curve and surface theory. The result was to further increase the merit of this stimulating, thought-provoking text — ideal for classroom use, but also perfectly suited for self-study. In this attractive, inexpensive paperback edition, it belongs in the library of any mathematician or student of mathematics interested in differential geometry.

College Geometry

College Geometry
Author: Howard Whitley Eves,Howard Eves
Publsiher: Jones & Bartlett Learning
Total Pages: 370
Release: 1995
ISBN 10: 9780867204759
ISBN 13: 0867204753
Language: EN, FR, DE, ES & NL


College Geometry Book Review:

College Geometry is divided into two parts. Part I is a sequel to basic high school geometry and introduces the reader to some of the important modern extensions of elementary geometry- extension that have largely entered into the mainstream of mathematics. Part II treats notions of geometric structure that arose with the non-Euclidean revolution in the first half of the nineteenth century.

Transformation Geometry

Transformation Geometry
Author: George E. Martin
Publsiher: Springer Science & Business Media
Total Pages: 240
Release: 1996-12-20
ISBN 10: 9780387906362
ISBN 13: 0387906363
Language: EN, FR, DE, ES & NL


Transformation Geometry Book Review:

Transformation Geometry: An Introduction to Symmetry offers a modern approach to Euclidean Geometry. This study of the automorphism groups of the plane and space gives the classical concrete examples that serve as a meaningful preparation for the standard undergraduate course in abstract algebra. The detailed development of the isometries of the plane is based on only the most elementary geometry and is appropriate for graduate courses for secondary teachers.