Classical Analysis of Real-Valued Functions (Paperback)

Language: English

Published by Society for Industrial & Applied Mathematics,U.S., New York, 2023

1611977665 / 9781611977660

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Paperback. Divided into two self-contained parts, this textbook is an introduction to modern real analysis. More than 350 exercises and 100 examples are integrated into the text to help clarify the theoretical considerations and the practical applications to differential geometry, Fourier series, differential equations, and other subjects. The first section of Classical Analysis of Real-Valued Functions covers the theorems of existence of supremum and infimum of bounded sets on the real line and the Lagrange formula for differentiable functions. Applications of these results are crucial for classical mathematical analysis, andmany are threaded through the text. In the second part of the book, the implicit function theorem plays a central role, while the GaussOstrogradskii formula, surface integration, HeineBorel lemma, the AscoliArzela theorem, and the one-dimensional indefinite Lebesgue integral are also covered. This book is intended for students in the first and second years of classical universities majoring in pure and applied mathematics, but students of engineering disciplines will also gain important and helpful insights. It is appropriate for courses in mathematical analysis, functional analysis, real analysis, and calculus and can be used for self-study as well. Divided into two self-contained parts, this textbook is an introduction to modern real analysis. More than 350 exercises and 100 examples are integrated into the text to help clarify the theoretical considerations and the practical applications to differential geometry, Fourier series, differential equations, and other subjects. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

Seller Inventory # 9781611977660

Title
Classical Analysis of Real-Valued Functions (Paperback)
Author
V.S. Serov
Publisher
Society for Industrial & Applied Mathematics,U.S., New York
Publication year
2023
Condition
new
Binding
Paperback
Language
English
ISBN 10
1611977665
ISBN 13
9781611977660

AussieBookSeller

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