Exercises in Analysis

Part 1

Leszek Gasińksi, Nikolaos S. Papageorgiou

$260.95 $208.95

Paperback

Not in-store but you can order this
How long will it take?

Availability Information

We source books from suppliers in Australia and overseas. For books we don't currently have in stock, the time it takes to get them from our suppliers can vary widely - from a few days to a few months - so we check each book with each supplier to determine the expected time it will take to be supplied to us.

We then advise you accordingly. If the time taken to get any book is too long for you, you can let us know and we will cancel or adjust your order, and refund as required.

To find out the anticipated arrival time for specific items prior to ordering, please contact us by phone or email:

Phone +61 2 9264 3111, or 1800 4 BOOKS (1800 4 26657) if outside Sydney:
option 1 Abbey's Bookshop (Crime, History, Science, Kids & more) • info@abbeys.com.au
option 2 Language Book Centre (ESL & Foreign Languages) • language@abbeys.com.au
option 3 Galaxy Bookshop (Sci-fi, Fantasy, Romance, Graphic Novels) • sf@galaxybooks.com.au

QTY:

English

Springer International Publishing AG
17 September 2016

Functional analysis & transforms; Integral calculus & equations; Topology; Probability & statistics

Series: Problem Books in Mathematics

Exercises in Analysis will be published in two volumes. This first volume covers problems in five core topics of mathematical analysis: metric spaces; topological spaces; measure, integration and Martingales; measure and topology and functional analysis. Each of five topics correspond to a different chapter with inclusion of the basic theory and accompanying main definitions and results, followed by suitable comments and remarks for better understanding of the material. At least 170 exercises/problems are presented for each topic, with solutions available at the end of each chapter. The entire collection of exercises offers a balanced and useful picture for the application surrounding each topic.

This nearly encyclopedic coverage of exercises in mathematical analysis is the first of its kind and is accessible to a wide readership. Graduate students will find the collection of problems valuable in preparation for their preliminary or qualifying exams as well as for testing their deeper understanding of the material. Exercises are denoted by degree of difficulty. Instructors teaching courses that include one or all of the above-mentioned topics will find the exercises of great help in course preparation. Researchers in analysis may find this Work useful as a summary of analytic theories published in one accessible volume.

By: Leszek Gasińksi, Nikolaos S. Papageorgiou
Imprint: Springer International Publishing AG
Country of Publication: Switzerland
Edition: Softcover reprint of the original 1st ed. 2014
Dimensions: Height: 235mm, Width: 155mm, Spine: 52mm
Weight: 1.553kg
ISBN: 9783319355351
ISBN 10: 331935535X
Series: Problem Books in Mathematics
Pages: 1037
Publication Date: 17 September 2016
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

1. Metric Spaces.- 2. Topological Spaces.- 3. Measure, Integral, and Martingales.- 4. Measures and Topology.- 5. Functional Analysis.- Other Problem Books.- List of Symbols.- Index.

Leszek Gasińksi is the Chair of Optimization and Control Theory in the Institute of Computer Science at Jagiellonian University in Krakow, Poland. He is the co-author, along with Nikolaos S. Papageorgiou, of ""Nonlinear Analysis"" (CRC 2005) and ""Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems"" (CRC 2006). Nikolaos S. Papageorgiou is a Professor of Mathematics in the School of Applied Mathematical and Physical Sciences at National Technical University in Athens, Greece. He is the co-author, along with Leszek Gasińksi, of ""Nonlinear Analysis"" (CRC 2005) and ""Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems"" (CRC 2006).

Reviews for Exercises in Analysis: Part 1

“The book presents most standard theorems in real analysis, topology and functional analysis as well as a variety of problems with their solutions. … The presentation is lucid and elegant. The notations are standard throughout the text. … useful to graduate students and faculty whose interests are in probability, finance, measure theory, topology, partial differential equations and operator theory … . Such a book certainly must live in every library where other mathematics books in the similar topics reside.” (Dhruba Adhikari, MAA Reviews, maa.org, December, 2015) “The topics covered will carry almost any serious student from advanced undergraduate mathematics all the way through graduate qualifying examinations … . Summing Up: Recommended. Upper-division undergraduates and graduate students.” (D. V. Feldman, Choice, Vol. 52 (9), May, 2015) “This volume is a collection of interesting problems in real analysis and functional analysis. It is addressed to advanced undergraduate and graduate students as well as to researchers in pure and applied analysis. … The entire collection of exercises offers a balanced and useful picture for the application surrounding each topic. The reviewer highly recommends this book to all mathematical libraries.” (Vicenţiu D. Rădulescu, zbMATH, Vol. 1298, 2014)