Berkeley Problems in Mathematics

A comprehensive compilation of approximately 900 problems which have appeared on the preliminary exams in Berkeley, and as such is an invaluable source of problems and solutions for every mathematics student who plans to enter a PhD program. Students who work through this book will develop problem-solving skills in areas such as real analysis, multi-variable calculus, differential equations, metric spaces, complex analysis, algebra, and linear algebra. The problems are organised by subject and ordered in increasing level of difficulty, while tags with the exact exam year provide the opportunity to rehearse complete mock examinations. The perfect book to strengthen foundations in mathematics.