Real Analysis

Series, Functions of Several Variables, and Applications

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Calculus
Cover of the book Real Analysis by Miklós Laczkovich, Vera T. Sós, Springer New York
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Miklós Laczkovich, Vera T. Sós ISBN: 9781493973699
Publisher: Springer New York Publication: December 14, 2017
Imprint: Springer Language: English
Author: Miklós Laczkovich, Vera T. Sós
ISBN: 9781493973699
Publisher: Springer New York
Publication: December 14, 2017
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer New York

Cover of the book Diagnosis of Heart Disease by Miklós Laczkovich, Vera T. Sós
Cover of the book Prisons Crowding: A Psychological Perspective by Miklós Laczkovich, Vera T. Sós
Cover of the book Poverty and Exclusion in the Western Balkans by Miklós Laczkovich, Vera T. Sós
Cover of the book Microbial Food Safety by Miklós Laczkovich, Vera T. Sós
Cover of the book Marine Physiology Down East: The Story of the Mt. Desert Island Biological Laboratory by Miklós Laczkovich, Vera T. Sós
Cover of the book Radiation Therapy for Skin Cancer by Miklós Laczkovich, Vera T. Sós
Cover of the book User Guides, Manuals, and Technical Writing by Miklós Laczkovich, Vera T. Sós
Cover of the book Growth Factors in Reproduction by Miklós Laczkovich, Vera T. Sós
Cover of the book Cave Microbiomes: A Novel Resource for Drug Discovery by Miklós Laczkovich, Vera T. Sós
Cover of the book Emerging Memory Technologies by Miklós Laczkovich, Vera T. Sós
Cover of the book Decision Support by Miklós Laczkovich, Vera T. Sós
Cover of the book The Science and Art of Using Telescopes by Miklós Laczkovich, Vera T. Sós
Cover of the book 7.0 Tesla MRI Brain Atlas by Miklós Laczkovich, Vera T. Sós
Cover of the book Trekking the Shore by Miklós Laczkovich, Vera T. Sós
Cover of the book Handbook of Bioenergy Economics and Policy by Miklós Laczkovich, Vera T. Sós
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy