Kiselev's Geometry

Kiselev's Geometry

Author: Andreĭ Petrovich Kiselev

Publisher:

Published: 2008

Total Pages: 192

ISBN-13:

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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

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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.


Problems in Geometry

Problems in Geometry

Author: Marcel Berger

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 275

ISBN-13: 1475718365

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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.


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

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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

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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.


Inversive Geometry

Inversive Geometry

Author: Frank Morley

Publisher: Courier Corporation

Published: 2014-01-15

Total Pages: 292

ISBN-13: 0486493393

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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.


Vector Geometry

Vector Geometry

Author: Gilbert de B. Robinson

Publisher: Courier Corporation

Published: 2013-10-10

Total Pages: 194

ISBN-13: 0486321045

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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.


The Wonder Book of Geometry

The Wonder Book of Geometry

Author: David Acheson

Publisher: Oxford University Press

Published: 2020-10-22

Total Pages: 240

ISBN-13: 0192585371

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How can we be sure that Pythagoras's theorem is really true? Why is the 'angle in a semicircle' always 90 degrees? And how can tangents help determine the speed of a bullet? David Acheson takes the reader on a highly illustrated tour through the history of geometry, from ancient Greece to the present day. He emphasizes throughout elegant deduction and practical applications, and argues that geometry can offer the quickest route to the whole spirit of mathematics at its best. Along the way, we encounter the quirky and the unexpected, meet the great personalities involved, and uncover some of the loveliest surprises in mathematics.


Elementary Geometry

Elementary Geometry

Author: Ilka Agricola

Publisher: American Mathematical Soc.

Published: 2008

Total Pages: 257

ISBN-13: 0821843478

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Plane geometry is developed from its basic objects and their properties and then moves to conics and basic solids, including the Platonic solids and a proof of Euler's polytope formula. Particular care is taken to explain symmetry groups, including the description of ornaments and the classification of isometries.