Advanced Calculus : A Differential Forms Approach

種類:

電子ブック

責任表示:

by Harold M. Edwards

出版情報:

Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2014

著者名:

• Edwards, Harold M.
• SpringerLink (Online service)

シリーズ名:

Modern Birkhäuser Classics ;

ISBN:

9780817684129 [0817684123]    

注記:

In a book written for mathematicians, teachers of mathematics, and highly motivated students, Harold Edwards has taken a bold and unusual approach to the presentation of advanced calculus. He begins with a lucid discussion of differential forms and quickly moves to the fundamental theorems of calculus and Stokes’ theorem. The result is genuine mathematics, both in spirit and content, and an exciting choice for an honors or graduate course or indeed for any mathematician in need of a refreshingly informal and flexible reintroduction to the subject. For all these potential readers, the author has made the approach work in the best tradition of creative mathematics. This affordable softcover reprint of the 1994 edition presents the diverse set of topics from which advanced calculus courses are created in beautiful unifying generalization. The author emphasizes the use of differential forms in linear algebra, implicit differentiation in higher dimensions using the calculus of differential forms, and the method

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