Beginning graduate students in mathematical sciences and related areas in physical and computer sciences and engineering are expected to be familiar with a daunting breadth of mathematics, but few have such a background. This bestselling book helps students fill in the gaps in their knowledge. Thomas A. Garrity 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 explanations are accompanied by numerous examples, exercises and suggestions for further reading that allow the reader to test and develop their understanding of these core topics. Featuring four new chapters and many other improvements, this second edition of All the Math You Missed is an essential resource for advanced undergraduates and beginning graduate students who need to learn some serious mathematics quickly.
As someone who wanted a better picture of math as a broader field, I found this to be a very helpful survey. It provides rigor, but at an appropriate level for anyone who's completed a physical science, engineering, or computer science degree. It also walks through the proofs it chooses to present. It provides a concise global view of broader goals for each subfield. There are not a lot of problems in this book, but what I really appreciate are the recommendations at the end of each section for other books if you want to go deeper. I have really enjoyed flipping through this book as a transition/doorway to explore more math that may be useful to my specific projects.