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Berkeley Problems in Mathematics (Problem Books in Mathematics) Paperback – 20 Jan 2004

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Review

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 Back Cover

 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.

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Product details

  • Paperback: 593 pages
  • Publisher: Springer; 3rd ed. 2004 edition (20 January 2004)
  • Language: English
  • ISBN-10: 0387008926
  • ISBN-13: 978-0387008929
  • Product Dimensions: 15.5 x 3.5 x 23.5 cm
  • Average Customer Review: 5.0 out of 5 stars 1 customer review
  • Amazon Bestsellers Rank: #5,72,202 in Books (See Top 100 in Books)
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18 July 2015
Format: Paperback|Verified Purchase

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Amazon.com: 4.3 out of 5 stars 7 reviews
Trenton F. Schirmer
5.0 out of 5 starsExcellent Problem Book
25 March 2008 - Published on Amazon.com
Format: Paperback|Verified Purchase
11 people found this helpful.
Stephen R Garth
5.0 out of 5 starsGreat resource
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P. Budney
4.0 out of 5 starsExcellent Problems!
3 March 2008 - Published on Amazon.com
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8 people found this helpful.
Jim Heuser
5.0 out of 5 starsA real pearl!
14 February 2004 - Published on Amazon.com
Format: Paperback
27 people found this helpful.

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