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Berkeley Problems in Mathematics

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Berkeley Problems in Mathematics Cover

 

Synopses & Reviews

Publisher Comments:

 In 1977 the Mathematics Department at the University of California, Berkeley, instituted a written examination as one of the first major requirements toward the Ph.D. degree in Mathematics. Its purpose was to determine whether first-year students in the Ph.D. program had successfully mastered basic mathematics in order to continue in the program with the likelihood of success. Since its inception, the exam has become a major hurdle to overcome in the pursuit of the degree. The purpose of this book is to publicize the material and aid in the preparation for the examination during the undergraduate years. The book is a compilation of over 1,250 problems which 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. The problems are organized by subject and ordered in an increasing level of difficulty. Tags with the exact exam year provide the opportunity to rehearse complete examinations. The appendix includes instructions on accessing electronic versions of the exams as well as a syllabus and statistics of passing scores. This new edition has been updated with the most recent exams, including exams given during the Fall 2003 semester. There are numerous new problems and solutions which were not included in previous editions.

Synopsis:

This title is a compilation of approximately 900 problems which have appeared on the preliminary exams in Berkeley over 20 years. It is a useful source of problems and solutions for every mathematics student who plans to enter a Ph.D. program.

Synopsis:

This book is a compilation of approximately nine hundred problems, which have appeared on the preliminary exams in Berkeley over the last twenty 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. The problems are organized by subject and ordered in an increasing level of difficulty. This new edition contains approximately 120 new problems and 200 new solutions. It is an ideal means for students to strengthen their foundation in basic mathematics and to prepare for graduate studies.

Synopsis:

This book collects approximately nine hundred problems that have appeared on the preliminary exams in Berkeley over the last twenty years. It is an invaluable source of problems and solutions. Readers who work through this book will develop problem solving skills in such areas as real analysis, multivariable calculus, differential equations, metric spaces, complex analysis, algebra, and linear algebra.

Table of Contents

Preface.- Problems.- Real Analysis.- Multivariable Calculus.- Differential Equations.- Metric Spaces.- Complex Analysis.- Algebra.- Linear Algebra.- Solutions.- Real Analysis.- Multivariable Calculus.- Differential Equations.- Metric Spaces.- Complex Analysis.- Algebra.- Linear Algebra.- Appendices.- References.- Index.

Product Details

ISBN:
9780387008929
Author:
De Souza, Paulo Ney
Publisher:
Springer
Author:
de Souza, Paulo Ney
Author:
Souza, Paulo Ney
Author:
Silva, Jorge-Nuno
Author:
Souza, Paulo N. de
Author:
Souza, Paulo Ney de
Location:
New York, NY
Subject:
Mathematics
Subject:
Study & Teaching
Subject:
Mathematical Analysis
Subject:
History -- Philosophy.
Subject:
Analysis
Subject:
Examinations
Subject:
University of California, Berkeley
Subject:
Algebra
Subject:
Group Theory and Generalizations
Subject:
Linear and Multilinear Algebras, Matrix Theory
Subject:
Real functions
Subject:
Mathematics-Educational
Subject:
B
Subject:
mathematics and statistics
Subject:
Global analysis (Mathematics)
Subject:
Group Theory
Subject:
matrix theory
Copyright:
Edition Number:
3
Edition Description:
3rd ed. 2004
Series:
Problem Books in Mathematics
Series Volume:
bk. 3
Publication Date:
20040120
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
607
Dimensions:
235 x 155 mm 840 gr

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Related Subjects


Science and Mathematics » Mathematics » Advanced
Science and Mathematics » Mathematics » Algebra » Abstract Algebra
Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Educational
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » History

Berkeley Problems in Mathematics New Trade Paper
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Product details 607 pages Springer-Verlag - English 9780387008929 Reviews:
"Synopsis" by , This title is a compilation of approximately 900 problems which have appeared on the preliminary exams in Berkeley over 20 years. It is a useful source of problems and solutions for every mathematics student who plans to enter a Ph.D. program.
"Synopsis" by , This book is a compilation of approximately nine hundred problems, which have appeared on the preliminary exams in Berkeley over the last twenty 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. The problems are organized by subject and ordered in an increasing level of difficulty. This new edition contains approximately 120 new problems and 200 new solutions. It is an ideal means for students to strengthen their foundation in basic mathematics and to prepare for graduate studies.
"Synopsis" by , This book collects approximately nine hundred problems that have appeared on the preliminary exams in Berkeley over the last twenty years. It is an invaluable source of problems and solutions. Readers who work through this book will develop problem solving skills in such areas as real analysis, multivariable calculus, differential equations, metric spaces, complex analysis, algebra, and linear algebra.
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