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Curves and Singularities : A Geometrical Introduction to Singularity Theory. 2nd Revised edition.
・ISBN 978-0-521-41985-7 hard GB£ 131.00
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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-1-139-17261-5
| 著者・編者 | Bruce, J. W. / Giblin, P. J., |
|---|---|
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 1992 |
| ページ数 | 340 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-10532> |
解説
The differential geometry of curves and surfaces in Euclidean space has fascinated mathematicians since the time of Newton. Here the authors cast the theory into a new light, that of singularity theory. This second edition has been thoroughly revised throughout and includes a multitude of new exercises and examples. A new final chapter has been added which covers recently developed techniques in the classification of functions of several variables, a subject central to many applications of singularity theory. Also in this second edition are new sections on the Morse lemma and the classification of plane curve singularities. The only prerequisites for students to follow this textbook are a familiarity with linear algebra and advanced calculus. Thus it will be invaluable for anyone who would like an introduction to modern singularity theory.