Math and Science Book Review 2018

A Course in Modern Mathematical Physics by Peter Szekeres

Rating 10/10

Publisher Cambridge University Press

This book is more than just textbook. It is a comprehensive journey of advance mathematics and how it applies to modern physics. Want to learn the pillars of mathematics? This book is for you! Want to learn modern physics the proper way? This book is for you!

My advice is to start with the math: sets, logic, groups, Hilbert space, tensors, and topology. Once the advanced math is mastered, move onto the modern physics theories.

Mathematics in 10 Lessons by Jerry P. King

Rating 9/10

Publisher Prometheus Books

I really liked the choice of the math topics and the order it is presented in this book. A true tour of the basics of math. Starting with logic, it naturally progresses to sets, algebra, geometry, all the way to calculus. What's great is that several important formulas and proofs are explicitly presented!

My only problem with the book is the lack of depth, but I think the author plans remove many details due to his intended audience. Great book nonetheless!

A Student's Guide to Waves by Daniel Fleisch and Laura Kinnaman

Rating 10/10

Publisher Cambridge University Press

Daniel Fleisch is one of my favourite science writers. Why? His books are not condescendingly advanced/tricky or written for the layman. Perfect for math and physics students. I would even say that if every physics major reads Daniel Fleisch's books, they truly understand math and physics. In this book, you learn about waves and its applications. I particularly liked the sections on electromagnetic waves and quantum wavefunctions.

I would recommend Daniel Fleisch's books over Richard Feynman!

Calculus for Biology and Medicine by Claudia Neuhauser

Rating 9/10

The title of this book does not serve the book justice! The author or perhaps the publisher should rename it Mathematics for Biology and Medicine. I find this textbook surprisingly complete in its treatment of calculus, linear algebra, probability and statistics, and even applied differential equations. I really liked using this book as a reference for tutoring!

Note by Steven Zheng
1 month ago

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What level of math education do you need for "A Course in Modern Mathematical Physics"?

Steven Chase - 1 month ago

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It's pretty advanced. Late undergrad to early grad school.

Steven Zheng - 1 month ago

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