• Author : Serge Lang,Gene Murrow
  • Publisher : Springer Science & Business Media
  • Release : 1988-08-25
  • ISBN : 9780387966540
  • Language : En, Es, Fr & De

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 I

  • Author : Marcel Berger
  • Publisher : Springer Science & Business Media
  • Release : 2009-01-21
  • ISBN : 9783540116585
  • Language : En, Es, Fr & De

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.

Taxicab Geometry

  • Author : Eugene F. Krause
  • Publisher : Courier Corporation
  • Release : 1986-01-01
  • ISBN : 9780486252025
  • Language : En, Es, Fr & De

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

Euclidean Geometry and Transformations

  • Author : Clayton W. Dodge
  • Publisher : Courier Corporation
  • Release : 2004
  • ISBN : 9780486434766
  • Language : En, Es, Fr & De

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: Euclid and Beyond

  • Author : Robin Hartshorne
  • Publisher : Springer Science & Business Media
  • Release : 2005-09-28
  • ISBN : 9780387986500
  • Language : En, Es, Fr & De

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.

Geometry in Ancient and Medieval India

  • Author : T. A. Sarasvati Amma
  • Publisher : Motilal Banarsidass Publ.
  • Release : 1999
  • ISBN : 9788120813441
  • Language : En, Es, Fr & De

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 : 1986-06
  • ISBN : 9780912675480
  • Language : En, Es, Fr & De

No descriptive material is available for this title.

Groups and Geometry

  • Author : P. M. Neumann,Peter M. Neumann,Peter M Neumann, OBE,Gabrielle A. Stoy,E. C. Thompson,The Late Edward C Thompson
  • Publisher : Oxford University Press on Demand
  • Release : 1994
  • ISBN : 9780198534518
  • Language : En, Es, Fr & De

Contains the Oxford Mathematical Institute notes for undergraduate and first-year postgraduates. The first half of the book covers groups, the second half covers geometry and both parts contain a number of exercises.

Philosophy of Geometry from Riemann to Poincaré

  • Author : R. Torretti
  • Publisher : Taylor & Francis
  • Release : 1978-11-30
  • ISBN : 9789027709202
  • Language : En, Es, Fr & De

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 : 2003
  • ISBN : 9780521540513
  • Language : En, Es, Fr & De

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