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Mathematical Analysis

An Introduction to Functions of Several Variables

Authors: Giaquinta, Mariano, Modica, Giuseppe

  • Covers wide range of topics and applications
  • Illuminates the topics with examples, observations, exercises, and illustrations
  • Exciting historical background makes the subject come alive
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eBook $59.99
price for USA (gross)
  • ISBN 978-0-8176-4612-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-0-8176-4509-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $79.95
price for USA
  • ISBN 978-0-8176-4507-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

This text introduces basic ideas, structures, and results of differential and integral calculus for functions of several variables. The presentation is engaging and motivates the reader with numerous examples, remarks, illustrations, and exercises.

Mathematical Analysis: An Introduction to Functions of Several Variables may be used in the classroom setting for advanced undergraduate and graduate students or as a self-study. It is also a valuable reference for researchers in most mathematical disciplines. An appendix highlights mathematicians and scientists who have made important contributions in the development of theories in the subject.

Other books recently published by the authors include: Mathematical Analysis: Functions of One Variable, Mathematical Analysis: Approximation and Discrete Processes, and Mathematical Analysis: Linear and Metric Structures and Continuity, all of which provide the reader with a strong foundation in modern-day analysis.

Reviews of previous volumes in Mathematical Analysis:

The presentation of the theory is clearly arranged, all theorems have rigorous proofs, and every chapter closes with a summing up of the results and exercises with different requirements. . . . This book is excellently suitable for students in mathematics, physics, engineering, computer science and all students of technological and scientific faculties. —Journal of Analysis and its Applications

The exposition requires only a sound knowledge of calculus and the functions of one variable. A key feature this lively yet rigorous and systematic treatment is the historical accounts of ideas and methods of the subject. Ideas in mathematics develop in cultural, historical and economical contexts, thus the authors made brief accounts of those aspects and used a large number of beautiful illustrations. —Zentralblatt MATH

Reviews

From the reviews:

"This is a comprehensive introduction to the study of functions of several variables that includes several areas not commonly included in comparable textbooks. … The Current book has a generally broader scope … . There is a huge amount of mathematics here, presented carefully and with style. … The treatment of holomorphic functions here is nicely done … . In the end, I find that this text would be an agreeable source for most of its individual topics … ." (William J. Satzer, The Mathematical Association of America, August, 2009)

“This is a classical textbook on functions of several variables. On 348 pages it covers the content of a graduate course of mathematical analysis devoted to the higher dimensional spaces. … The textbook is suitable for students of mathematics, physics, engineering and technology, as well as for researchers.” (Vladimír Janiš, Zentralblatt MATH, Vol. 1177, 2010)

“This is a part of an ampler project of the authors … . The applications and the examples included in the book make it more attractive. There are also exercises at the end of each chapter. … will supply the reader with a fairly complete account of the fundamental results in mathematical analysis and applications, including Lebesgue integration in Rn and complex analysis of one variable. … can be used for courses in real or complex analysis and their applications.” (Tiberiu Trif, Studia Universitatis Babes-Bolyai, Mathematica, Vol. LV (4), December, 2010)

“This is a textbook on analysis of functions of several real variables and of functions of one complex variable. … The book is concise and nicely written and may well serve as source for (graduate) courses in the areas covered as well as a textbook for students and as a reference book for the working mathematician.” (R. Steinbauer, Monatshefte für Mathematik, Vol. 165 (3-4), March, 2012)


Table of contents (6 chapters)

Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-0-8176-4612-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-0-8176-4509-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $79.95
price for USA
  • ISBN 978-0-8176-4507-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Analysis
Book Subtitle
An Introduction to Functions of Several Variables
Authors
Copyright
2009
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-0-8176-4612-7
DOI
10.1007/978-0-8176-4612-7
Hardcover ISBN
978-0-8176-4509-0
Softcover ISBN
978-0-8176-4507-6
Edition Number
1
Number of Pages
XII, 348
Number of Illustrations and Tables
105 b/w illustrations
Topics