Real Analysis: Series, Functions of Several Variables, and Applications: 2 (Undergraduate Texts in Mathematics) - Softcover

Laczkovich, Mikl�s; T. S�s, Vera

9781493984640: Real Analysis: Series, Functions of Several Variables, and Applications: 2 (Undergraduate Texts in Mathematics)

Softcover

ISBN 10: 1493984640 ISBN 13: 9781493984640

Verlag: Springer, 2018

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Corresponds to a second course in real analysis to follow the authors' book Real Analysis: Foundations and Functions of One Variable

Motivates ideas and results in analysis by exploring concepts and applications

Showcases a comprehensive collection of exercises, allowing students to develop proficiency over a broad range of problems

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�ber die Autorin bzw. den Autor

Mikl�s Laczkovich is a member of the Hungarian Academy of Sciences and professor emeritus at E�tv�s Lor�nd University Budapest and University College London. He was awarded the Ostrowski Prize in 1993 and the Sz�chenyi Prize in 1998.

Vera T. S�s is a member of the Hungarian Academy of Sciences and professor emeritus at E�tv�s Lor�nd Univesity Budapest and the Alfred Renyi Mathematical Institute of the Hungarian Academy of Sciences. She was awarded the Sz�chenyi Prize in 1997.

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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, Val�s Anal�zis I & II, based on courses taught by the authors at E�tv�s Lor�nd 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 students intuition throughout, many definitions and results become motivated by insights from their context.

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Verlag: Springer
Erscheinungsdatum: 2018
Sprache: Englisch
ISBN 10: 1493984640
ISBN 13: 9781493984640
Einband: Tapa blanda
Anzahl der Seiten: 404
Kontakt zum Hersteller: Nicht verf�gbar
Verantwortliche Person: CMN Printpool Inh. Mathis Neumann
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