Kiselev's Geometry
Title | Kiselev's Geometry PDF eBook |
Author | Andreĭ Petrovich Kiselev |
Publisher | |
Total Pages | 192 |
Release | 2008 |
Genre | Geometry |
ISBN |
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
Title | Geometry: A Comprehensive Course PDF eBook |
Author | Dan Pedoe |
Publisher | Courier Corporation |
Total Pages | 466 |
Release | 2013-04-02 |
Genre | Mathematics |
ISBN | 0486131734 |
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
Title | Geometry PDF eBook |
Author | D. A. Brannan |
Publisher | |
Total Pages | 497 |
Release | 1999 |
Genre | Geometry |
ISBN | 9781107385283 |
Introduction to Projective Geometry
Title | Introduction to Projective Geometry PDF eBook |
Author | C. R. Wylie |
Publisher | Courier Corporation |
Total Pages | 578 |
Release | 2011-09-12 |
Genre | Mathematics |
ISBN | 0486141705 |
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
Title | A Vector Space Approach to Geometry PDF eBook |
Author | Melvin Hausner |
Publisher | Courier Dover Publications |
Total Pages | 417 |
Release | 2018-10-17 |
Genre | Mathematics |
ISBN | 0486835391 |
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.
Fundamental Concepts of Geometry
Title | Fundamental Concepts of Geometry PDF eBook |
Author | Bruce E. Meserve |
Publisher | Courier Corporation |
Total Pages | 336 |
Release | 2014-12-08 |
Genre | Mathematics |
ISBN | 048615226X |
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.
The Foundations of Geometry
Title | The Foundations of Geometry PDF eBook |
Author | David Hilbert |
Publisher | |
Total Pages | 158 |
Release | 1902 |
Genre | Geometry |
ISBN |