Foundations of Geometry

Author: C. R. Wylie
Publisher: Courier Corporation
ISBN: 9780486472140
Release Date: 2009-05-21
Genre: Education

Explains geometric theories and shows many examples.

An Essay on the Foundations of Geometry

Author: Bertrand Russell
Publisher: Prabhat Prakashan
Release Date: 101-01-01

My thanks are due to Mr G. F. Stout and Mr A. N. Whitehead for kindly reading my proofs, and helping me by many useful criticisms. To Mr Whitehead I owe, also, the inestimable assistance of constant criticism and suggestion throughout the course of construction, especially as regards the philosophical importance of projective Geometry.—from this book

Foundations of Geometry

Author: Karol Borsuk
Publisher: Courier Dover Publications
ISBN: 9780486828091
Release Date: 2018-11-14
Genre: Mathematics

Part One of this comprehensive treatment develops Euclidean and Bolyai-Lobachevskian geometry on the basis of a Hilbert system, and Part Two explores projective geometry in much the same way. 1960 edition.

Beyond Geometry

Author: Peter Pesic
Publisher: Courier Corporation
ISBN: 9780486453507
Release Date: 2007
Genre: Mathematics

Eight essays trace seminal ideas about the foundations of geometry that led to the development of Einstein's general theory of relativity. This is the only English-language collection of these important papers, some of which are extremely hard to find. Contributors include Helmholtz, Klein, Clifford, Poincaré, and Cartan.

Foundations and Fundamental Concepts of Mathematics

Author: Howard Eves
Publisher: Courier Corporation
ISBN: 9780486132204
Release Date: 2012-04-10
Genre: Mathematics

Third edition of popular undergraduate-level text offers historic overview, readable treatment of mathematics before Euclid, Euclid's Elements, non-Euclidean geometry, algebraic structure, formal axiomatics, sets, more. Problems, some with solutions. Bibliography.

Fraktale Geometrie

Author: Kenneth J. Falconer
Publisher: Spektrum Akademischer Verlag
ISBN: 3860250752
Release Date: 1993-01-01

Introduction to Projective Geometry

Author: C. R. Wylie
Publisher: Courier Corporation
ISBN: 9780486141701
Release Date: 2011-09-12
Genre: Mathematics

This introductory volume offers strong reinforcement for its teachings, with detailed examples and numerous theorems, proofs, and exercises, plus complete answers to all odd-numbered end-of-chapter problems. 1970 edition.

Monographs on Topics of Modern Mathematics

Author: J. W. A. Young
Publisher: Courier Corporation
ISBN: 0486438163
Release Date: 2004
Genre: Mathematics

“Of high merit”—Scientific American This stimulating approach to several branches of modern mathematics is geared to those with no background beyond elementary algebra and geometry. Its nine essays by leading mathematicians—including Oswald Veblen, Gilbert Ames Bliss, L. E. Dickson, and David Eugene Smith—cover the foundations of geometry, modern pure geometry and non-Euclidean geometry, fundamental propositions of algebra, algebraic equations, functions, fundamentals of calculus, and number theory. Each essay provides wide coverage, with proofs of important results and descriptions of leading methods. 1911 ed.

A First Course in Geometry

Author: Edward T Walsh
Publisher: Courier Corporation
ISBN: 9780486780207
Release Date: 2014-10-15
Genre: Mathematics

Suitable for college courses, this introductory text covers the language of mathematics, geometric sets of points, separation and angles, triangles, parallel lines, similarity, polygons and area, circles, and space and coordinate geometry. 1974 edition.

Differential Geometry

Author: Heinrich W. Guggenheimer
Publisher: Courier Corporation
ISBN: 9780486157207
Release Date: 2012-04-27
Genre: Mathematics

This text contains an elementary introduction to continuous groups and differential invariants; an extensive treatment of groups of motions in euclidean, affine, and riemannian geometry; more. Includes exercises and 62 figures.

Fundamental Concepts of Geometry

Author: Bruce E. Meserve
Publisher: Courier Corporation
ISBN: 9780486152264
Release Date: 2014-12-08
Genre: Mathematics

Demonstrates relationships between different types of geometry. Provides excellent overview of the foundations and historical evolution of geometrical concepts. Exercises (no solutions). Includes 98 illustrations.

Fundamentals of the Theory of Plasticity

Author: L. M. Kachanov
Publisher: Courier Corporation
ISBN: 9780486150826
Release Date: 2013-09-26
Genre: Technology & Engineering

Intended for use by advanced engineering students and professionals, this volume focuses on plastic deformation of metals at normal temperatures, as applied to strength of machines and structures. 1971 edition.

Grundlagen der Geometrie

Author: David Hilbert
Publisher: SEVERUS Verlag
ISBN: 9783863479466
Release Date: 2014-03
Genre: Mathematics

Seine Erkenntnisse beeinflussen bis heute die Forschung: David Hilbert baut in seinen „Grundlagen der Geometrie“ auf Euklids Lehre ein Grundsatzsystem auf, von dem ausgehend er wichtige geometrische Sätze ableitet. Die erstmals 1899 erschienene Abhandlung machte Hilbert zu einem der wichtigsten Mathematiker der Neuzeit, der auch den Formalismus entscheidend prägte.

The Philosophy of Space and Time

Author: Hans Reichenbach
Publisher: Courier Corporation
ISBN: 9780486138039
Release Date: 2012-03-13
Genre: Science

A clear, penetrating exposition of developments in physical science and mathematics brought about by non-Euclidean geometries, including in-depth coverage of the foundations of geometry, theory of time, other topics.