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Problem Books in Mathematics Ser.: Berkeley Problems in Mathematics by...

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Item specifics

Condition
Very Good: A book that has been read and does not look new, but is in excellent condition. No ...
Subject
Algebra / Abstract, Study & Teaching, Algebra / General, Mathematical Analysis
ISBN
9780387008929
Subject Area
Mathematics
Publication Name
Berkeley Problems in Mathematics
Publisher
Springer New York
Item Length
9.3 in
Publication Year
2004
Series
Problem Books in Mathematics Ser.
Type
Textbook
Format
Trade Paperback
Language
English
Author
Jorge-Nuno Silva, Paulo Ney De Souza
Features
Revised
Item Weight
32.5 Oz
Item Width
6.1 in
Number of Pages
Xiv, 593 Pages

About this product

Product Information

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.

Product Identifiers

Publisher
Springer New York
ISBN-10
0387008926
ISBN-13
9780387008929
eBay Product ID (ePID)
30211552

Product Key Features

Number of Pages
Xiv, 593 Pages
Language
English
Publication Name
Berkeley Problems in Mathematics
Publication Year
2004
Subject
Algebra / Abstract, Study & Teaching, Algebra / General, Mathematical Analysis
Features
Revised
Type
Textbook
Subject Area
Mathematics
Author
Jorge-Nuno Silva, Paulo Ney De Souza
Series
Problem Books in Mathematics Ser.
Format
Trade Paperback

Dimensions

Item Weight
32.5 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Edition Number
3
Intended Audience
Scholarly & Professional
LCCN
2003-063347
Dewey Edition
22
Reviews
From the reviews of the third edition:"This new edition has been updated with the most recent exams … . There are numerous new problems and solutions which were not included in previous editions. It is an invaluable source of problems and solutions for every mathematics student who plans to enter a Ph. D program. … 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. … Tags with the exact exam year provide the opportunity to rehearse complete examinations. … This new edition has been updated with the most recent exams … ." (Zentralblatt für Didaktik der Mathematik, November 2004)"The Mathematics department of the University of California, Berkeley, has set a written preliminary examination to determine whether first year Ph.D. students have mastered enough basic mathematics to succeed in the doctoral program. Berkeley Problems in Mathematics is a compilation of all the … questions, together with worked solutions … . All the solutions I looked at are complete … . Some of the solutions are very elegant. … This is an impressive piece of work and a welcome addition to any mathematician's bookshelf." (Chris Good, The Mathematical Gazette, 90:518, 2006) "During the last twenty-five years problems from written preliminary examinations that are required for the Ph.D. degree at the Mathematics Department of the University of California, Berkeley, have been assembled. … The book is suited for students in mathematics, physics or engineering. Solutions are well explained, making the book valuable for self-study. The problems have a satisfactory high level, so the book is a rich resource of examples for lecturers as well, who need exercises … . This book certainly is to be recommended." (Paula Bruggen, Bulletin of the Belgian Mathematical Society, 12:4, 2005), From the reviews of the third edition: "This new edition has been updated with the most recent exams … . There are numerous new problems and solutions which were not included in previous editions. It is an invaluable source of problems and solutions for every mathematics student who plans to enter a Ph. D program. … 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. … Tags with the exact exam year provide the opportunity to rehearse complete examinations. … This new edition has been updated with the most recent exams … ." (Zentralblatt für Didaktik der Mathematik, November 2004) "The Mathematics department of the University of California, Berkeley, has set a written preliminary examination to determine whether first year Ph.D. students have mastered enough basic mathematics to succeed in the doctoral program. Berkeley Problems in Mathematics is a compilation of all the … questions, together with worked solutions … . All the solutions I looked at are complete … . Some of the solutions are very elegant. … This is an impressive piece of work and a welcome addition to any mathematician's bookshelf." (Chris Good, The Mathematical Gazette, 90:518, 2006) "During the last twenty-five years problems from written preliminary examinations that are required for the Ph.D. degree at the Mathematics Department of the University of California, Berkeley, have been assembled. … The book is suited for students in mathematics, physics or engineering. Solutions are well explained, making the book valuable for self-study. The problems have a satisfactory high level, so the book is a rich resource of examples for lecturers as well, who need exercises … . This book certainly is to be recommended." (Paula Bruggen, Bulletin of the Belgian Mathematical Society, 12:4, 2005), From the reviews of the third edition: "This new edition has been updated with the most recent exams ... . There are numerous new problems and solutions which were not included in previous editions. It is an invaluable source of problems and solutions for every mathematics student who plans to enter a Ph. D program. ... 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. ... Tags with the exact exam year provide the opportunity to rehearse complete examinations. ... This new edition has been updated with the most recent exams ... ." (Zentralblatt für Didaktik der Mathematik, November 2004) "The Mathematics department of the University of California, Berkeley, has set a written preliminary examination to determine whether first year Ph.D. students have mastered enough basic mathematics to succeed in the doctoral program. Berkeley Problems in Mathematics is a compilation of all the ... questions, together with worked solutions ... . All the solutions I looked at are complete ... . Some of the solutions are very elegant. ... This is an impressive piece of work and a welcome addition to any mathematician's bookshelf." (Chris Good, The Mathematical Gazette, 90:518, 2006) "During the last twenty-five years problems from written preliminary examinations that are required for the Ph.D. degree at the Mathematics Department of the University of California, Berkeley, have been assembled. ... The book is suited for students in mathematics, physics or engineering. Solutions are well explained, making the book valuable for self-study. The problems have a satisfactory high level, so the book is a rich resource of examples for lecturers as well, who need exercises ... . This book certainly is to be recommended." (Paula Bruggen, Bulletin of the Belgian Mathematical Society, 12:4, 2005)
Number of Volumes
1 Vol.
Illustrated
Yes
Dewey Decimal
510/.76
Edition Description
Revised Edition
Lc Classification Number
Qa299.6-433
Table of Content
1 Real Analysis.- 2 Multivariable Calculus.- 3 Differential Equations.- 4 Metric Spaces.- 5 Complex Analysis.- 6 Algebra.- 7 Linear Algebra.- 1 Real Analysis.- 2 Multivariable Calculus.- 3 Differential Equations.- 4 Metric Spaces.- 5 Complex Analysis.- 6 Algebra.- 7 Linear Algebra.- III Appendices.- A How to Get the Exams.- A.1 On-line.- A.2 Off-line, the Last Resort.- B Passing Scores.- C The Syllabus.- References.
Copyright Date
2004

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