Cart
Free Shipping in Australia
Proud to be B-Corp

Real Analysis Miklos Laczkovich

Real Analysis By Miklos Laczkovich

Real Analysis by Miklos Laczkovich


$110,69
Condition - New
Only 2 left

Summary

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.

Real Analysis Summary

Real Analysis: Series, Functions of Several Variables, and Applications by Miklos Laczkovich

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, Valos Analizis I & II, based on courses taught by the authors at Eoetvoes Lorand 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.

Real Analysis Reviews

This book develops a thorough treatment of multivariate derivatives, viewing them both as linear transformations and as partial derivatives. ... The book is consistent in addressing the classical analysis of real functions of several variables. This volume will appeal to students in pure and applied mathematics, as well as scientists looking to acquire a firm footing in mathematical analysis. (Teodora-Liliana Radulescu, zbMATH 1407.26001, 2019)


The explicit intent of the authors is to present material gradually, and to develop precision based on intuition with the help of well-designed examples. The book contains 600 exercises. In my opinion this interesting book represents an alternative viewpoint in real analysis. (Zbigniew Grande, Mathematical Reviews, August, 2018)

About Miklos Laczkovich

Miklos Laczkovich is a member of the Hungarian Academy of Sciences and professor emeritus at Eoetvoes Lorand University Budapest and University College London. He was awarded the Ostrowski Prize in 1993 and the Szechenyi Prize in 1998.

Vera T. Sos is a member of the Hungarian Academy of Sciences and professor emeritus at Eoetvoes Lorand Univesity Budapest and the Alfred Renyi Mathematical Institute of the Hungarian Academy of Sciences. She was awarded the Szechenyi Prize in 1997.

Table of Contents

Functions of Several Variables.- 1. R^p R functions.- 2. R^p R^q functions.- 3. The Jordan Measure.- 4. The Integral of Multivariable Functions I.- 5. The Integral of Multivariable Functions II.- 6. Infinite Series.- 7. Sequences and Series of Functions.- 8. Miscellaneous Topics.- 9. Hint, Solutions.- References.- Index.- Notation.

Additional information

NLS9781493984640
9781493984640
1493984640
Real Analysis: Series, Functions of Several Variables, and Applications by Miklos Laczkovich
New
Paperback
Springer-Verlag New York Inc.
2018-08-30
392
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

Customer Reviews - Real Analysis