Curves and Singularities: A Geometrical Introduction to Singularity Theory by J.

Description: Curves and Singularities by J.W. Bruce, P.J. Giblin An introduction to the modern theories of catastrophes and singularities. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description The differential geometry of curves and surfaces in Euclidean space has fascinated mathematicians since the time of Newton. Here the authors take a novel approach by casting the theory into a new light, that of singularity theory. The second edition of this successful textbook has been thoroughly revised throughout and includes a multitude of new exercises and examples. A new final chapter has been added that 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 the modern theories of catastrophes and singularities. Author Biography J.W. Bruce received the B.S.E. from the University of Alabama in Huntsville in 1991, the M.S.E.E. from the Georgia Institute of Technology in 1993, and the Ph.D. from the University of Nevada Las Vegas in 2000, all in electrical engineering. Dr. Bruce has served as a member of the technical staff at the Mevatec Corporation providing engineering support to the Marshall Space Flight Center Microgravity Research Program. He also worked in the 3D Workstation Graphics Group at the Integraph Corporation designing the worlds first OpenGL graphics accelerator for the Windows operating system. Since 2 Table of Contents 1. Introductory example: a gravitational catastrophe machine; 2. Curves, and functions on them; 3. More about functions; 4. Regular values and smooth manifolds; 5. Envelopes; 6. Unfoldings; 7. Unfoldings: applications; 8. Transversality; 9. Generic properties of curves; 10. More on unfoldings; 11. Singular points, several variables and generic surfaces; Appendix: Null sets and Sards theorem. Review "This delightfully written book overflows with beautiful mathematics, requiring only linear algebra, multi-variable calculus, and a little mathematical sophistication." The American Mathematical Monthly Promotional This second edition is an invaluable textbook for anyone who would like an introduction to the modern theories of catastrophies and singularities. Review Quote "This delightfully written book overflows with beautiful mathematics, requiring only linear algebra, multi-variable calculus, and a little mathematical sophistication." The American Mathematical Monthly Promotional "Headline" This second edition is an invaluable textbook for anyone who would like an introduction to the modern theories of catastrophies and singularities. Description for Bookstore The differential geometry of curves and surfaces in Euclidean space has fascinated mathematicians since the time of Newton. Here the authors cast the theory in a new light, that of singularity theory. This new edition includes a chapter on recently developed techniques in the classification of functions of several variables. Description for Library The differential geometry of curves and surfaces in Euclidean space has fascinated mathematicians since the time of Newton. Here the authors cast the theory in a new light, that of singularity theory. This new edition includes a chapter on recently developed techniques in the classification of functions of several variables. Details ISBN0521419859 Author P.J. Giblin Short Title CURVES & SINGULARITIES REV/E 2 Pages 340 Publisher Cambridge University Press Language English Edition 2nd ISBN-10 0521419859 ISBN-13 9780521419857 Media Book Format Hardcover Imprint Cambridge University Press Subtitle A Geometrical Introduction to Singularity Theory Place of Publication Cambridge Country of Publication United Kingdom Illustrations many line drawings, some tables Replaces 9780521249454 Birth 1952 DOI 10.1604/9780521419857 UK Release Date 1992-11-26 AU Release Date 1992-11-26 NZ Release Date 1992-11-26 Edition Description 2nd Revised edition Year 1992 Publication Date 1992-11-26 Alternative 9781139172615 DEWEY 516.2 Audience Tertiary & Higher Education We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:91365700;

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