All the Mathematics You Missed

Few beginning graduate students in mathematics and other quantitative subjects possess the daunting breadth of mathematical knowledge expected of them when they begin their studies. This book will offer students a broad outline of essential mathematics and will help to fill in the gaps in their knowledge. The author explains the basic points and a few key results of all the most important undergraduate topics in mathematics emphasizing the intuitions behind the subject. The topics include linear algebra vector calculus differential and analytical geometry real analysis point-set topology probability complex analysis set theory algorithms and more. An annotated bibliography offers a guide to further reading and to more rigorous foundations.