Search Results for "geometry"

Geometry: A Comprehensive Course

Geometry: A Comprehensive Course

  • Author: Dan Pedoe
  • Publisher: Courier Corporation
  • ISBN: 0486131734
  • Category: Mathematics
  • Page: 464
  • View: 893
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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.

Geometry I

Geometry I

  • Author: Marcel Berger,M. Cole
  • Publisher: Springer Science & Business Media
  • ISBN: 9783540116585
  • Category: Mathematics
  • Page: 432
  • View: 1708
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The first part of a two-volume text providing a readable and lively presentation of large parts of geometry in the classical sense, this book appeals systematically to the reader's intuition and vision, and illustrates the mathematical text with many figures.

Geometry

Geometry

  • Author: Michele Audin
  • Publisher: Springer Science & Business Media
  • ISBN: 9783540434986
  • Category: Mathematics
  • Page: 357
  • View: 9379
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Geometry, an ancient field of mathematical study, remains unfamiliar to many students. Michèle Audin's book remedies this, starting from linear algebra, explores affine, Euclidean and projective geometry, conic sections and quadrics, curves and surfaces. It includes many nice theorems like the nine-point circle, Feuerbach's theorem, and more, proving each property and including illustrative examples and exercises. Precise hints for exercises are provided at the end of the book.

Kiselev's Geometry

Kiselev's Geometry

Stereometry

  • Author: Andreĭ Petrovich Kiselev
  • Publisher: N.A
  • ISBN: N.A
  • Category: Geometry
  • Page: 176
  • View: 8264
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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.

College Geometry

College Geometry

An Introduction to the Modern Geometry of the Triangle and the Circle

  • Author: Nathan Altshiller-Court
  • Publisher: Courier Corporation
  • ISBN: 0486141373
  • Category: Mathematics
  • Page: 336
  • View: 7578
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The standard university-level text for decades, this volume offers exercises in construction problems, harmonic division, circle and triangle geometry, and other areas. 1952 edition, revised and enlarged by the author.

Geometry

Geometry

A High School Course

  • Author: Serge Lang,Gene Murrow
  • Publisher: Springer Science & Business Media
  • ISBN: 9783540966548
  • Category: Geometrie
  • Page: 394
  • View: 8716
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E-math Iii' 2007 Ed.(geometry)

E-math Iii' 2007 Ed.(geometry)

  • Author: N.A
  • Publisher: Rex Bookstore, Inc.
  • ISBN: 9789712345333
  • Category:
  • Page: N.A
  • View: 2163
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Elements of Geometry

Elements of Geometry

  • Author: abbé Rossignol (Jean-Joseph)
  • Publisher: N.A
  • ISBN: N.A
  • Category: Geometry
  • Page: 162
  • View: 8081
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Elementary Geometry

Elementary Geometry

  • Author: John Roe
  • Publisher: Clarendon Press
  • ISBN: 9780198534563
  • Category: Mathematics
  • Page: 307
  • View: 7078
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This text is a careful introduction to geometry. While developing geometry for its own sake, the book also emphasizes the links between geometry and other branches of pure and applied mathematics.

Text book of geometry

Text book of geometry

  • Author: Thomas Steadman Aldis
  • Publisher: N.A
  • ISBN: N.A
  • Category:
  • Page: N.A
  • View: 2292
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Advanced Euclidean Geometry

Advanced Euclidean Geometry

  • Author: Roger A. Johnson
  • Publisher: Courier Corporation
  • ISBN: 048615498X
  • Category: Mathematics
  • Page: 336
  • View: 2197
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This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. 1929 edition.

Geometry: Euclid and Beyond

Geometry: Euclid and Beyond

  • Author: Robin Hartshorne
  • Publisher: Springer Science & Business Media
  • ISBN: 0387226761
  • Category: Mathematics
  • Page: 528
  • View: 7903
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This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.

Elements of Geometry, Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids

Elements of Geometry, Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids

To which are Added, Elements of Plane and Spherical Trignonometry

  • Author: John Playfair
  • Publisher: N.A
  • ISBN: N.A
  • Category: Euclid's Elements
  • Page: 257
  • View: 5654
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18 Theorems of Geometry

18 Theorems of Geometry

For High School Students

  • Author: William Smith
  • Publisher: Xlibris Corporation
  • ISBN: 1450090397
  • Category: Education
  • Page: 102
  • View: 570
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How to Succeed in Geometry

How to Succeed in Geometry

Grades 5-8

  • Author: Charles Shields
  • Publisher: Teacher Created Resources
  • ISBN: 1576909581
  • Category: Education
  • Page: 48
  • View: 6433
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Geometry

Geometry

  • Author: David A. Brannan,Matthew F. Esplen,Jeremy J. Gray
  • Publisher: Cambridge University Press
  • ISBN: 1139503707
  • Category: Mathematics
  • Page: 602
  • View: 8080
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This richly illustrated and clearly written undergraduate textbook captures the excitement and beauty of geometry. The approach is that of Klein in his Erlangen programme: a geometry is a space together with a set of transformations of the space. The authors explore various geometries: affine, projective, inversive, hyperbolic and elliptic. In each case they carefully explain the key results and discuss the relationships between the geometries. New features in this second edition include concise end-of-chapter summaries to aid student revision, a list of further reading and a list of special symbols. The authors have also revised many of the end-of-chapter exercises to make them more challenging and to include some interesting new results. Full solutions to the 200 problems are included in the text, while complete solutions to all of the end-of-chapter exercises are available in a new Instructors' Manual, which can be downloaded from www.cambridge.org/9781107647831.

Euclidean Geometry in Mathematical Olympiads

Euclidean Geometry in Mathematical Olympiads

  • Author: Evan Chen
  • Publisher: The Mathematical Association of America
  • ISBN: 0883858398
  • Category: Mathematics
  • Page: 311
  • View: 427
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This is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. Topics covered included cyclic quadrilaterals, power of a point, homothety, triangle centers; along the way the reader will meet such classical gems as the nine-point circle, the Simson line, the symmedian and the mixtilinear incircle, as well as the theorems of Euler, Ceva, Menelaus, and Pascal. Another part is dedicated to the use of complex numbers and barycentric coordinates, granting the reader both a traditional and computational viewpoint of the material. The final part consists of some more advanced topics, such as inversion in the plane, the cross ratio and projective transformations, and the theory of the complete quadrilateral. The exposition is friendly and relaxed, and accompanied by over 300 beautifully drawn figures. The emphasis of this book is placed squarely on the problems. Each chapter contains carefully chosen worked examples, which explain not only the solutions to the problems but also describe in close detail how one would invent the solution to begin with. The text contains as selection of 300 practice problems of varying difficulty from contests around the world, with extensive hints and selected solutions. This book is especially suitable for students preparing for national or international mathematical olympiads, or for teachers looking for a text for an honor class.

Geometry

Geometry

Seeing, Doing, Understanding

  • Author: Harold R. Jacobs
  • Publisher: Macmillan
  • ISBN: 9780716743613
  • Category: Mathematics
  • Page: 780
  • View: 3020
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Harold Jacobs's Geometry created a revolution in the approach to teaching this subject, one that gave rise to many ideas now seen in the NCTM Standards. Since its publication nearly one million students have used this legendary text. Suitable for either classroom use or self-paced study, it uses innovative discussions, cartoons, anecdotes, examples, and exercises that unfailingly capture and hold student interest. This edition is the Jacobs for a new generation. It has all the features that have kept the text in class by itself for nearly 3 decades, all in a thoroughly revised, full-color presentation that shows today's students how fun geometry can be. The text remains proof-based although the presentation is in the less formal paragraph format. The approach focuses on guided discovery to help students develop geometric intuition.

Geometry

Geometry

A Self-Teaching Guide

  • Author: Steve Slavin,Ginny Crisonino
  • Publisher: John Wiley & Sons
  • ISBN: 9780471680192
  • Category: Mathematics
  • Page: 288
  • View: 1664
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Learn geometry at your own pace What are congruent circles? How do you find the hypotenuse of a triangle? What is the sum of the angles in a decagon? How can you apply geometric equations to your daily life? With the unbeatable study companion Geometry: A Self-Teaching Guide, you'll discover the answers to these questions and many more. This thorough primer presents an easy-to-follow, proven method for grasping the key concepts of geometry. You'll progress step by step through plane, solid, and analytic geometry and then move on to geometric applications for calculus. You'll build your problem-solving skills along the way through detailed examples, reviews, exercises, and answer explanations. The clearly structured format of Geometry makes it fully accessible, providing an easily understood, comprehensive overview for everyone from high school students to adult learners to math mavens. Like all Self-Teaching Guides, Geometry allows you to build gradually on what you have learned-at your own pace. Questions and self-tests reinforce the information in each chapter and allow you to skip ahead or focus on specific areas of concern. Packed with useful, up-to-date information, this clear, concise volume is a valuable learning tool and reference source for anyone who wants to improve his or her understanding of basic geometry.

Geometry: Plane and Fancy

Geometry: Plane and Fancy

Plane and Fancy

  • Author: David A. Singer
  • Publisher: Springer Science & Business Media
  • ISBN: 9780387983066
  • Category: Mathematics
  • Page: 159
  • View: 8807
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A fascinating tour through parts of geometry students are unlikely to see in the rest of their studies while, at the same time, anchoring their excursions to the well known parallel postulate of Euclid. The author shows how alternatives to Euclids fifth postulate lead to interesting and different patterns and symmetries, and, in the process of examining geometric objects, the author incorporates the algebra of complex and hypercomplex numbers, some graph theory, and some topology. Interesting problems are scattered throughout the text. Nevertheless, the book merely assumes a course in Euclidean geometry at high school level. While many concepts introduced are advanced, the mathematical techniques are not. Singers lively exposition and off-beat approach will greatly appeal both to students and mathematicians, and the contents of the book can be covered in a one-semester course, perhaps as a sequel to a Euclidean geometry course.