Real Analysis

Series, Functions of Several Variables, and Applications

Autor: Miklos Laczkovich, Vera T. Sos

Jazyk:

Väzba: Brožovaná

Vydavateľ: Springer-Verlag New York Inc.

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This book develops the theory of multivariable analysis, building on the single variable foundations...

Informácie o knihe

Autor

Miklos Laczkovich, Vera T. Sos

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2018

Stránok

392

EAN

9781493984640

Enbook ID

21077273

Vydavateľ

Springer-Verlag New York Inc.

Hmotnosť

617

Rozmery

155 x 235 x 22

Kompletný popis

This book develops the theory of multivariable analysis, building on the single variable foundations established in the companion volume, Real Analysis: Foundations and Functions of One Variable . Together, these volumes form the first English edition of the popular Hungarian original, Valós Analízis I & II , based on courses taught by the authors at Eötvös Loránd University, Hungary, for more than 30 years. Numerous exercises are included throughout, offering ample opportunities to master topics by progressing from routine to difficult problems. Hints or solutions to many of the more challenging exercises make this book ideal for independent study, or further reading. Intended as a sequel to a course in single variable analysis, this book builds upon and expands these ideas into higher dimensions. The modular organization makes this text adaptable for either a semester or year-long introductory course. Topics include: differentiation and integration of functions of several variables; infinite numerical series; sequences and series of functions; and applications to other areas of mathematics. Many historical notes are given and there is an emphasis on conceptual understanding and context, be it within mathematics itself or more broadly in applications, such as physics. By developing the student's intuition throughout, many definitions and results become motivated by insights from their context.

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Real Analysis

Series, Functions of Several Variables, and Applications

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