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Rating: Summary: Challenging problems, or just standard textbook stuff. Review: A GOOD COLLECTION OF PROBLEMS THAT HAVE BEEN THE BENCH MARK OF SELECTION TO THE PhD PROGRAMME AT UNIVERSITY OF CALIFORNIA AT BERKLEY IN MATHEMATICS. THERE IS A WIDE RANGE OF PROBLEMS THAT COMPRISE SOME SIMPLE AND SOME HARDER NUTS TO CRACK.THE PROBLEMS HAVE BEEN PUT IN THE ORDER IN WHICH THEY HAVE APPEARED IN THE EXAMS. NOT ALL QUESTIONS FIND SOLUTIONS IN THE BOOK HENCE THIS KEEPS UP THE SPIRIT OF THE EXAMINATION BUT THE SOLVED ONES SHALL HELP TO VENT FRUSTARTION OR OVER COME FALIURE AT TIMES. THIS BOOK IS A MUST READ FOR STUDENTS WHO ARE PLANNING TO TAKE UP A PhD IN MATHEMATICS TO GUAGE THEIR AREAS OF STRENGTH AND WEAKNESS.A VERY WELL COMPILED SET THAT COMES YET AGAIN WITH THE GUIDENCE OF P.R.HALMOS.
Rating: Summary: What it is Review: The 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: Summary: Challenging problems, or just standard textbook stuff. Review: 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.
Rating: Summary: A real pearl! Review: 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, and when I get one, I really savour it!
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