Curves and Singularities
A Geometrical Introduction to Singularity Theory 2nd Revised edition
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Curves and Singularities by J. Bruce
Book DescriptionThe 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.
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Book DetailsISBN: 9780521419857
(228mm x 152mm x 22mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 26-Nov-1992
Country of Publication: United Kingdom
Books By Author J. Bruce
Hyperbolic Geometry from a Local Viewpoint, Hardback (March 2007)
A self-contained text on hyperbolic geometry for plane domains, ideal for graduate students and academic researchers.
Elliptic Functions, Paperback (September 2006)
A beginning graduate level treatment of elliptic functions with a huge array of examples, first published in 2006.
Introduction to Sieve Methods and Their Applications, Paperback (December 2005)
This book provides a motivated introduction to sieve theory.
Singular Points of Plane Curves, Hardback (November 2004)» View all books by J. Bruce
Introduction to singularity theory based on MSc course taught by author; novel synthesis, with new results not found elsewhere.
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