Differential Forms [NOOK Book]

Overview


"Cartan's work provides a superb text for an undergraduate course in advanced calculus, but at the same time it furnishes the reader with an excellent foundation for global and nonlinear algebra."?Mathematical Review
"Brilliantly successful."?Bulletin de l'Association des Professeurs de Mathematiques
"The presentation is precise and detailed, the style lucid and almost conversational . . . clearly an ...
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Differential Forms

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Overview


"Cartan's work provides a superb text for an undergraduate course in advanced calculus, but at the same time it furnishes the reader with an excellent foundation for global and nonlinear algebra."—Mathematical Review
"Brilliantly successful."—Bulletin de l'Association des Professeurs de Mathematiques
"The presentation is precise and detailed, the style lucid and almost conversational . . . clearly an outstanding text and work of reference."—Annales
Cartan's Formes Differentielles was first published in France in 1967. It was based on the world-famous teacher's experience at the Faculty of Sciences in Paris, where his reputation as an outstanding exponent of the Bourbaki school of mathematics was first established.
Addressed to second- and third-year students of mathematics, the material skillfully spans the pure and applied branches in the familiar French manner, so that the applied aspects gain in rigor while the pure mathematics loses none of its dignity. This book is equally essential as a course text, as a work of reference, or simply as a brilliant mathematical exercise.
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Product Details

  • ISBN-13: 9780486139111
  • Publisher: Dover Publications
  • Publication date: 6/8/2012
  • Series: Dover Books on Mathematics
  • Sold by: Barnes & Noble
  • Format: eBook
  • Pages: 176
  • Sales rank: 1,096,114
  • File size: 8 MB

Table of Contents

1. Differential forms
2. Elements of the calculus of variations
3. Applications of the moving frame method to the theory of curves and surfaces
Index
Bibliography
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Sort by: Showing 1 Customer Reviews
  • Anonymous

    Posted July 19, 2007

    Elegant but advanced.

    The book develops the theory of differential forms elegantly and directly. However, the second paragraph states 'We have already considered 'Chapter 1, paragraph 1.8, Differential Calculus' the normed vector space L^p(E,F) of p-linear maps...' This is sort of like those Mel Bay guitar books that were about 5 pages long and referenced other Mel Bay guitar books, no? There are some obvious typos too. As someone who has taught the subject many times, I found the book useful as Cartan had a deep and comfortable understanding of the topic, which I can take advantage of to smooth out my own exposition in class. I don't think the book is for beginners.

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