Cambridge University Press Mathematical Methods for Physics and Engineering: A Comprehensive Guide

A classic for every right reason! Would recommend this to any freshman aiming to study physics at the post grad level and looking to get ahead of future classes. Well written, with a plethora of great problem sets to anchor your journey towards deeper understanding of fundamental physics concepts! Worth every dollar!

Mathematical Methods for Physics and Engineering (3rd Edition) is widely considered one of the best comprehensive resources for students in physics and engineering. This textbook stands out for its exceptionally clear explanations, systematic structure, and a remarkable breadth of topics—from foundational calculus and linear algebra to advanced subjects like group theory, tensors, and quantum operators. The book is highly praised for its pedagogical excellence, offering a logical three-part approach to each topic: an intuitive introduction, a formal treatment, and well-chosen worked examples. Its wealth of over 800 exercises, many with fully worked solutions, makes it invaluable for both guided learning and self-study, and its content serves as a reliable reference far beyond undergraduate studies. While some reviewers note that a handful of advanced topics may be somewhat concise, the majority of chapters are exceptionally well-presented for both beginners and more advanced students. Overall, this book is an essential, masterful text that bridges the gap between undergraduate and graduate mathematics for the physical sciences—earning its reputation as one of the best in the field.

Worth of money. Very helpful book of mathematics.

1300ページを超える分量で、本の厚さが約5.5cmなので本と呼ぶにはでかすぎるのですが、 章毎の分離性は悪くないので、必要なところから読めば問題は無いと思う。物理数学を一通り やろうと思えば、この分量になるのは仕方ない(和書のシリーズモノを揃えると2000ページ超える のも普通ですし)。 この本の一番良いところは、章末問題800問の完全な解答が手に入るところ。 Instructor's manualを手に入れるのは結構難易度が高いかもしれませんが、少なくても Student manual(400題)分の解答は購入できる。それら解答は略解ではなくて、完全な形 のものですから、非常に便利です。