Differentiable germs and catastrophes
Theodor Bröcker
Reading Time
at 250 WPM2h 59m
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6
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Differentiable germs and catastrophes
Published
1975
Publisher
Cambridge University Press
Pages
179
ISBN-10
0521206812
Description
These notes give a fairly elementary introduction to the local theory of differentiable mappings. Sard's Theorem and the Preparation Theorem of Malgrange and Mather are the basic tools and these are proved first. There follows a number of illustrations including: the local part of Whitney's Theorem on mappings of the plane into the plane, quadratic differentials, the Instability Theorem of Thom, one of Mather's theorems on finite determinacy and a glimpse of the theory of Toujeron. The later part of the book develops Mather's theory of unfoldings of singularities. Its application to Catastrophe theory is explained and the Elementary Catastrophes are illustrated by many pictures. The book is suitable as a text for courses to graduates and advanced undergraduates but may also be of interest to mathematical biologists and economists.
Advanced engineering mathematics
Singularities of smooth functions and maps
Differenzierbare Räume
Synthetic Differential Topology
Condensing multivalued maps and semilinear differential inclusions in Banach spaces
Singular points of smooth mappings
Frequently Asked Questions
How many pages are in Differentiable germs and catastrophes?
This edition of Differentiable germs and catastrophes has approximately 179 pages. Please note, this is an estimate and the exact page count can vary between hardcover, paperback, and e-book versions.
How long does it take to read Differentiable germs and catastrophes?
For most readers, Differentiable germs and catastrophes typically takes between 3h 44m and 2h 29m to complete. This is based on the book's length of approximately 44,750 words and common reading speeds.
Here's a detailed breakdown: • Continuous reading at 250 WPM: approximately 2h 59m of focused reading • Casual reading (30 minutes/day): you could finish in roughly 6 days • Estimated word count: 44,750 words
Your individual reading time will vary based on your personal reading pace, the amount of daily reading time, and your familiarity with the subject matter.
What is the word count of Differentiable germs and catastrophes?
The estimated word count for Differentiable germs and catastrophes is approximately 44,750 words. This figure is calculated using industry-standard methods that consider genre-specific word density patterns, typical formatting and layout characteristics, and standard words-per-page ratios for published books.
This is an approximation — actual word count may vary based on font size, formatting, edition, and the presence of illustrations or charts.
Who is the author of Differentiable germs and catastrophes?
Differentiable germs and catastrophes was written by Theodor Bröcker.
When was Differentiable germs and catastrophes published?
The publication date for this specific edition is 1975. The original work may have been published on a different date.