Differential Calculus
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Differential Calculus
Book Details
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Publisher: Dover
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Author: Avez, A
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ISBN: 9780486845647
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Binding: Paperback
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Number of Pages: 192
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Release Date: 14-10-2020
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Languages: English
About The Book
"Differential Calculus" by Avez, A is a rigorous and insightful textbook that offers a detailed approach to classical and contemporary topics in differential calculus. Based on the author's courses at the Université Pierre et Marie Curie, this text aims to deepen the reader's understanding of calculus through a Banach space setting.
The book is suitable for upper-level undergraduates and graduate students of analysis, and it encourages further exploration into the subject. Topics covered include:
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Vector fields
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One-parameter groups of diffeomorphisms
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The Morse-Palais Lemma
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Differentiable submanifolds
The book also explores applications in differential equations and the calculus of variations, providing practical insights into these areas.
Key Features:
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Concise, yet comprehensive, approach to differential calculus.
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Presents topics in a Banach space setting, which is ideal for advanced study.
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Includes important concepts such as vector fields and differentiable submanifolds.
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Designed for upper-level undergraduate and graduate students studying analysis.
This is a valuable resource for those wishing to build a deep and theoretical understanding of differential calculus with applications to real-world problems.
