Kiselev's Geometry
Kiselev's Geometry

Author: Andreĭ Petrovich Kiselev

Publisher:

Published: 2008

Total Pages: 192

ISBN-13:

DOWNLOAD EBOOK

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
Geometry: A Comprehensive Course

Author: Dan Pedoe

Publisher: Courier Corporation

Published: 2013-04-02

Total Pages: 466

ISBN-13: 0486131734

DOWNLOAD EBOOK

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.

A New Look at Geometry
A New Look at Geometry

Author: Irving Adler

Publisher: Courier Corporation

Published: 2013-10-03

Total Pages: 420

ISBN-13: 0486320499

DOWNLOAD EBOOK

Richly detailed survey of the evolution of geometrical ideas and development of concepts of modern geometry: projective, Euclidean, and non-Euclidean geometry; role of geometry in Newtonian physics, calculus, relativity. Over 100 exercises with answers. 1966 edition.

Lectures on Algebraic Geometry I
Lectures on Algebraic Geometry I

Author: Günter Harder

Publisher: Springer Science & Business Media

Published: 2011-09-15

Total Pages: 311

ISBN-13: 3834883301

DOWNLOAD EBOOK

This book and the following second volume is an introduction into modern algebraic geometry. In the first volume the methods of homological algebra, theory of sheaves, and sheaf cohomology are developed. These methods are indispensable for modern algebraic geometry, but they are also fundamental for other branches of mathematics and of great interest in their own. In the last chapter of volume I these concepts are applied to the theory of compact Riemann surfaces. In this chapter the author makes clear how influential the ideas of Abel, Riemann and Jacobi were and that many of the modern methods have been anticipated by them. For this second edition the text was completely revised and corrected. The author also added a short section on moduli of elliptic curves with N-level structures. This new paragraph anticipates some of the techniques of volume II.

Problems in Geometry
Problems in Geometry

Author: Marcel Berger

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 275

ISBN-13: 1475718365

DOWNLOAD EBOOK

Written as a supplement to Marcel Berger’s popular two-volume set, Geometry I and II (Universitext), this book offers a comprehensive range of exercises, problems, and full solutions. Each chapter corresponds directly to one in the relevant volume, from which it also provides a summary of key ideas. Where the original Geometry volumes tend toward challenging problems without hints, this book offers a wide range of material that begins at an accessible level, and includes suggestions for nearly every problem. Bountiful in illustrations and complete in its coverage of topics from affine and projective spaces, to spheres and conics, Problems in Geometry is a valuable addition to studies in geometry at many levels.

Vector Geometry
Vector Geometry

Author: Gilbert de B. Robinson

Publisher: Courier Corporation

Published: 2013-10-10

Total Pages: 194

ISBN-13: 0486321045

DOWNLOAD EBOOK

Concise undergraduate-level text by a prominent mathematician explores the relationship between algebra and geometry. An elementary course in plane geometry is the sole requirement. Includes answers to exercises. 1962 edition.

A Course in Metric Geometry
A Course in Metric Geometry

Author: Dmitri Burago

Publisher: American Mathematical Soc.

Published: 2001

Total Pages: 434

ISBN-13: 0821821296

DOWNLOAD EBOOK

"Metric geometry" is an approach to geometry based on the notion of length on a topological space. This approach experienced a very fast development in the last few decades and penetrated into many other mathematical disciplines, such as group theory, dynamical systems, and partial differential equations. The objective of this graduate textbook is twofold: to give a detailed exposition of basic notions and techniques used in the theory of length spaces, and, more generally, to offer an elementary introduction into a broad variety of geometrical topics related to the notion of distance, including Riemannian and Carnot-Caratheodory metrics, the hyperbolic plane, distance-volume inequalities, asymptotic geometry (large scale, coarse), Gromov hyperbolic spaces, convergence of metric spaces, and Alexandrov spaces (non-positively and non-negatively curved spaces).

Inversive Geometry
Inversive Geometry

Author: Frank Morley

Publisher: Courier Corporation

Published: 2014-01-15

Total Pages: 292

ISBN-13: 0486493393

DOWNLOAD EBOOK

This introduction to algebraic geometry makes particular reference to the operation of inversion. Topics include Euclidean group; inversion; quadratics; finite inversive groups; parabolic, hyperbolic, and elliptic geometries; differential geometry; and more. 1933 edition.

Geometry I
Geometry I

Author: R.V. Gamkrelidze

Publisher: Springer

Published: 1991-11-07

Total Pages: 266

ISBN-13: 9783540519997

DOWNLOAD EBOOK

This book provides a tour of the principal areas and methods of modern differential geometry. Beginning at the introductory level with curves in Euclidian space, the sections become more challenging, arriving finally at the advanced topics that form the greatest part of the book: transformation groups, the geometry of differential equations, geometric structures, the equivalence problem, the geometry of elliptic operators.