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© 2003

Geometry

  • No book published in English covers all these subjects and

  • with the same point of view - all chapters end with exerci+

  • ses - contains many detailed illustrations

Textbook

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages i-vi
  2. Michèle Audin
    Pages 1-5
  3. Michèle Audin
    Pages 7-42
  4. Michèle Audin
    Pages 43-63
  5. Michèle Audin
    Pages 65-111
  6. Michèle Audin
    Pages 113-142
  7. Michèle Audin
    Pages 143-182
  8. Michèle Audin
    Pages 183-245
  9. Michèle Audin
    Pages 247-267
  10. Michèle Audin
    Pages 269-300
  11. Back Matter
    Pages 301-360

About this book

Introduction

Geometry, this very ancient field of study of mathematics, frequently remains too little familiar to students. Michèle Audin, professor at the University of Strasbourg, has written a book allowing them to remedy this situation and, starting from linear algebra, extend their knowledge of 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 so on. Everything is presented clearly and rigourously. Each property is proved, examples and exercises illustrate the course content perfectly. Precise hints for most of the exercises are provided at the end of the book. This very comprehensive text is addressed to students at upper undergraduate and Master's level to discover geometry and deepen their knowledge and understanding.

Keywords

51XX 53XX Area Euclidean geometry conics differential geometry projective geometry quadrics

Authors and affiliations

  1. 1.IRMAUniversité Louis PasteurStrasbourgFrance

Bibliographic information

  • Book Title Geometry
  • Authors Michele Audin
  • Series Title Universitext
  • DOI https://doi.org/10.1007/978-3-642-56127-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 2003
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-43498-6
  • eBook ISBN 978-3-642-56127-6
  • Series ISSN 0172-5939
  • Series E-ISSN 2191-6675
  • Edition Number 1
  • Number of Pages VI, 361
  • Number of Illustrations 11 b/w illustrations, 0 illustrations in colour
  • Additional Information Original French edition published bei Editions Belin et Editions ESPACES 34, Paris, France
  • Topics Geometry
  • Buy this book on publisher's site

Reviews

From the reviews:

"With this book on geometry - an English translation of the French original published in 1998 - the author has without a doubt created a work which will crucially influence many generations of geometers to come. Audin knows how to combine clarity with modern methods of geometric thought, and one cannot help but notice the love for geometry on each and every page. ... As might be expected the author cites many French textbooks in the well thought our bibliography, yet does not shy from including som "humorous" works as well. Congratulations!"

H. Sachs in "Mathematical Reviews", 2003

"The book is to be welcomed. There are plenty of exercises and fort pages devoted to hints and solutions, and it is indeed advisable that the student works carefully through them in order to cement understanding. … Final year undergraduates or postgraduates will find this a valuable summary of geometry from an algebraic perspective." (Gerry Leversha, The Mathematical Gazette, March, 2005)

"This book, which has been published originally in French in 1998, gives a sound introduction into affine, Euclidean and projective geometry. … The book can be recommended unreservedly for upper undergraduates." (G. Kowol, Monatshefte für Mathematik, Vol. 143 (4), 2004)

"Everything is presented clearly and rigorously. Each property is proved, examples and exercises illustrate the course content perfectly. Precise hints for most of the exercises are provided at the end of the book. This very comprehensive text is addressed to students at upper undergraduate and Master’s level to discover geometry and deepen their knowledge and understanding." (Serguey M. Pokas, Zentralblatt MATH, Vol. 1043 (18), 2004)

"This textbook deals with quite a host of classical geometric topics. … As a benefit each chapter ends with numerous interesting exercises and examples to be solved by the reader. Moreover at the end of the book hints for the solution of these exercises are offered. …The book can be recommended to students at an upper undergraduate level having a good base of linear algebra … ." (A. Gfrerrer, IMN, Vol. 57 (193), 2003)

"Audin … writing for undergraduates who have some linear algebra, selects and unifies a range of topics that actually traverses a good deal of this terrain. … a solid introduction to many faces of modern geometry. … Summing Up: … Recommended. General readers; lower-division undergraduates through professionals." (D. V. Feldman, CHOICE, July, 2003)

"With this book on geometry … the author has without a doubt created a work which will crucially influence many generations of geometers to come. Audin knows how to combine clarity with modern methods of geometric thought, and one cannot help but notice the love for geometry on each and every page. … Congratulations!" (Hans Sachs, Mathematical Reviews, 2003 h)

"The book is addressed to students at upper undergraduate and Master’s level to discover geometry and deepen their knowledge and understanding, starting from linear algebra … . Each property is proved, examples and exercises illustrate the course content. Precise hints for most of the exercises are provided at the end of the book." (Zentralblatt für Didaktik der Mathematik, June, 2002)