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Berkeley Problems in Mathematics (Problem Books in Mathematics)
ISBN 0387008926 / 9780387008929 / 0-387-00892-6
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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. [via]