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Binding: PaperbackDewey Decimal Number: 510.76 EAN: 9780387008929 Edition: 03 ISBN: 0387008926 Label: Springer Manufacturer: Springer Number Of Items: 1 Number Of Pages: 616 Publication Date: January 20, 2004 Publisher: Springer Studio: Springer Accessories:
Browse for similar items by category: Click to Display Editorial Review: Product Description: 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. Average Rating:
 Rating:  - Excellent Problem BookThe problems in this book are excellent, they are both entertaining and instructive. I thought I knew calculus, linear algebra, and all of the other typical undergraduate subjects very well, until I purchased this book. After working several problems, mostly without success, I realized that there is a big difference between knowing theorems and knowing how to use them. Since then I have worked these problems daily to improve my "working knowledge," and it has made me a much better mathematician. ... Read More Rating: - Excellent Problems!These are great problems for those who would like to review undergraduate mathematics or those who would like to try some challenging problems. They are not as difficult as the problems on the Putnam competitions or those in the Math Monthly , but many require a bit of thought and some ingenuity. Some of the problems are routine, and if you don't want to review the basics, you can skip those and just try the more difficult ones. Even experienced problem solvers will have fun with some of these! Anyone ... Read More Rating: - A real pearl!This book is a rare peak inside one of the best Ph.D. programs in Mathematics in the world. It allows you to try out and test yourself on the same problems that the best young and aspiring mathematicians are testing themselves. The problems are neatly arranged by subject and in increasing level of difficulty, and the solutions, are not only beautifully written, but somewhat surprising and unexpected for a seasoned student. I pull mine out of the shelf on the rainy days and try a few more, ... Read More Rating: - What it isThe books is a collection of problems of the Preliminary Exam at the Ph.D. Program in Mathematics at Berkeley. Most of them can b solved using undergraduate-level math, but the problems are challenging. Rating:  - Challenging problems, or just standard textbook stuff.The problem with the contents of this book is that they are mostly standard, or require a simple trick. Many problems also require quite a bit of knowledge in higher mathematics, which may be good if you want to test that. However, this book is not for problem solving enthusiasts. 
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