Kiselev's Geometry

2008
Kiselev's Geometry

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  • Author: Andreĭ Petrovich Kiselev
  • Publisher:
  • ISBN:
  • Category : Geometry
  • Languages : en
  • Pages : 192

This volume completes the English adaptation of a classical Russian textbook in elementary Euclidean geometry. The 1st volume subtitled "Book I. Planimetry" was published in 2006 (ISBN 0977985202). This 2nd volume (Book II. Stereometry) covers solid geometry, and contains a chapter on vectors, foundations, and introduction in non-Euclidean geometry added by the translator. The book intended for high-school and college students, and their teachers. Includes 317 exercises, index, and bibliography.

Geometry: A Comprehensive Course

2013-04-02
Geometry: A Comprehensive Course

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  • Author: Dan Pedoe
  • Publisher: Courier Corporation
  • ISBN: 0486131734
  • Category : Mathematics
  • Languages : en
  • Pages : 466

Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.

Geometry

1999
Geometry

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  • Author: D. A. Brannan
  • Publisher:
  • ISBN: 9781107385283
  • Category : Geometry
  • Languages : en
  • Pages : 497

Introduction to Projective Geometry

2011-09-12
Introduction to Projective Geometry

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  • Author: C. R. Wylie
  • Publisher: Courier Corporation
  • ISBN: 0486141705
  • Category : Mathematics
  • Languages : en
  • Pages : 578

This lucid introductory text offers both an analytic and an axiomatic approach to plane projective geometry. The analytic treatment builds and expands upon students' familiarity with elementary plane analytic geometry and provides a well-motivated approach to projective geometry. Subsequent chapters explore Euclidean and non-Euclidean geometry as specializations of the projective plane, revealing the existence of an infinite number of geometries, each Euclidean in nature but characterized by a different set of distance- and angle-measurement formulas. Outstanding pedagogical features include worked-through examples, introductions and summaries for each topic, and numerous theorems, proofs, and exercises that reinforce each chapter's precepts. Two helpful indexes conclude the text, along with answers to all odd-numbered exercises. In addition to its value to undergraduate students of mathematics, computer science, and secondary mathematics education, this volume provides an excellent reference for computer science professionals.

A Vector Space Approach to Geometry

2018-10-17
A Vector Space Approach to Geometry

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  • Author: Melvin Hausner
  • Publisher: Courier Dover Publications
  • ISBN: 0486835391
  • Category : Mathematics
  • Languages : en
  • Pages : 417

A fascinating exploration of the correlation between geometry and linear algebra, this text portrays the former as a subject better understood by the use and development of the latter rather than as an independent field. The treatment offers elementary explanations of the role of geometry in other branches of math and science — including physics, analysis, and group theory — as well as its value in understanding probability, determinant theory, and function spaces. Outstanding features of this volume include discussions of systematic geometric motivations in vector space theory and matrix theory; the use of the center of mass in geometry, with an introduction to barycentric coordinates; axiomatic development of determinants in a chapter dealing with area and volume; and a careful consideration of the particle problem. Students and other mathematically inclined readers will find that this inquiry into the interplay between geometry and other areas offers an enriched appreciation of both subjects.

Geometry Civilized

2000
Geometry Civilized

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  • Author: J. L. Heilbron
  • Publisher: Oxford University Press
  • ISBN: 9780198506904
  • Category : History
  • Languages : en
  • Pages : 344

This lavishly illustrated book provides an unusually accessible approach to geometry by placing it in historical context. With concise discussions and carefully chosen illustrations the author brings the material to life by showing what problems motivated early geometers throughout the world. Geometry Civilized covers classical plane geometry, emphasizing the methods of Euclid but also drawing on advances made in China and India. It includes a wide range of problems, solutions, and illustrations, as well as a chapter on trigonometry, and prepares its readers for the study of solid geometry and conic sections.

The Foundations of Geometry

1910
The Foundations of Geometry

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  • Author: David Hilbert
  • Publisher:
  • ISBN:
  • Category : Geometry
  • Languages : en
  • Pages : 168

Fundamental Concepts of Geometry

2014-12-08
Fundamental Concepts of Geometry

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  • Author: Bruce E. Meserve
  • Publisher: Courier Corporation
  • ISBN: 048615226X
  • Category : Mathematics
  • Languages : en
  • Pages : 336

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.

Lectures on Poisson Geometry

2021-10-14
Lectures on Poisson Geometry

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  • Author: Marius Crainic
  • Publisher: American Mathematical Soc.
  • ISBN: 1470466678
  • Category : Education
  • Languages : en
  • Pages : 479

This excellent book will be very useful for students and researchers wishing to learn the basics of Poisson geometry, as well as for those who know something about the subject but wish to update and deepen their knowledge. The authors' philosophy that Poisson geometry is an amalgam of foliation theory, symplectic geometry, and Lie theory enables them to organize the book in a very coherent way. —Alan Weinstein, University of California at Berkeley This well-written book is an excellent starting point for students and researchers who want to learn about the basics of Poisson geometry. The topics covered are fundamental to the theory and avoid any drift into specialized questions; they are illustrated through a large collection of instructive and interesting exercises. The book is ideal as a graduate textbook on the subject, but also for self-study. —Eckhard Meinrenken, University of Toronto

Deductive Geometry

2016-01-14
Deductive Geometry

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  • Author: E.A. Maxwell
  • Publisher: Courier Dover Publications
  • ISBN: 0486809250
  • Category : Mathematics
  • Languages : en
  • Pages : 192

This concise review examines the geometry of the straight line, circle, plane, and sphere as well as their associated configurations, including the triangle and the cylinder. Aimed at university undergraduates, the treatment is also useful for advanced students at the secondary level. The straightforward approach begins with a recapitulation of previous work on the subject, proceeding to explorations of advanced plane geometry, solid geometry with some reference to the geometry of the sphere, and a chapter on the nature of space, including considerations of such properties as congruence, similarity, and symmetry. The text concludes with a brief account of the elementary transformations of projection and inversion. Numerous examples appear throughout the book.