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Item Details
| Title:
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SINGULARITIES OF DIFFERENTIABLE MAPS, VOLUME 1
CLASSIFICATION OF CRITICAL POINTS, CAUSTICS AND WAVE FRONTS |
| By: |
V. I. Arnold, S. M. Gusein-Zade, A. N. Varchenko |
| Format: |
Paperback |
| List price:
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£39.99 |
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We currently do not stock this item, please contact the publisher directly for
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| ISBN 10: |
0817683399 |
| ISBN 13: |
9780817683399 |
| Publisher: |
BIRKHAUSER BOSTON INC |
| Pub. date: |
23 May, 2012 |
| Edition: |
2012 ed. |
| Series: |
Modern Birkhauser Classics |
| Pages: |
282 |
| Description: |
This first of two volumes deals with the stability problem for smooth mappings, critical points of smooth functions, and caustics and wave front singularities, beginning at a basic level that presupposes a limited mathematical background. |
| Synopsis: |
? Singularity theory is a far-reaching extension of maxima and minima investigations of differentiable functions, with implications for many different areas of mathematics, engineering (catastrophe theory and the theory of bifurcations), and science. The three parts of this first volume of a two-volume set deal with the stability problem for smooth mappings, critical points of smooth functions, and caustics and wave front singularities. The second volume describes the topological and algebro-geometrical aspects of the theory: monodromy, intersection forms, oscillatory integrals, asymptotics, and mixed Hodge structures of singularities. The first volume has been adapted for the needs of non-mathematicians, presupposing a limited mathematical background and beginning at an elementary level. With this foundation, the book's sophisticated development permits readers to explore more applications than previous books on singularities. |
| Illustrations: |
67 Illustrations, black and white; XII, 282 p. 67 illus. |
| Publication: |
US |
| Imprint: |
Birkhauser Boston Inc |
| Returns: |
Returnable |
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