Berkeley Problems in Mathematics / Edition 2

Berkeley Problems in Mathematics / Edition 2

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by Paulo Ney Souza, Jorge-Nuno Silva
     
 

"The purpose of this book is to publicize the material and aid in the preparation for the examination during the undergraduate years since (a) students are already deeply involved with the material and (b) they will be prepared to take the exam within the first month of the graduate program rather than in the middle or end of the first year. The book is a compilation… See more details below

Overview

"The purpose of this book is to publicize the material and aid in the preparation for the examination during the undergraduate years since (a) students are already deeply involved with the material and (b) they will be prepared to take the exam within the first month of the graduate program rather than in the middle or end of the first year. The book is a compilation of more than one thousand problems that have appeared on the preliminary exams in Berkeley over the last twenty-five years. It is an invaluable source of problems and solutions for every mathematics student who plans to enter a Ph.D. program. Students who work through this book will develop problem-solving skills in areas such as real analysis, multivariable calculus, differential equations, metric spaces, complex analysis, algebra, and linear algebra."--BOOK JACKET.

Product Details

ISBN-13:
9780387951843
Publisher:
Springer-Verlag New York, LLC
Publication date:
06/28/2001
Series:
Problem Books in Mathematics Series
Edition description:
2ND
Pages:
535
Product dimensions:
6.38(w) x 9.50(h) x 1.20(d)

Table of Contents

Preface
IProblems1
1Real Analysis3
2Multivariable Calculus29
3Differential Equations41
4Metric Spaces53
5Complex Analysis59
6Algebra89
7Linear Algebra111
IISolutions141
1Real Analysis143
2Multivariable Calculus215
3Differential Equations243
4Metric Spaces269
5Complex Analysis283
6Algebra391
7Linear Algebra443
App. A: How to Get the Exams515
App. B: Passing Scores521
App. C: The Syllabus523
References525
Index533

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