Advanced Engineering Mathematics
by Erwin Kreyszig · first published 1957
63% recommend32% neutral5% critical
Why HN recommends it
Easy-to-follow bridge from calculus to applications, covering ODEs, linear algebra and analysis for engineers. Suits undergrads and self-learners wanting a solid base before heavier, purer math texts.
Summarised by Claude from recommending comments
Cited thousands of times in the scholarly literature, this is a seminal work in Engineering Mathematics. First published in 1962, the 2011 tenth edition of Advanced Engineering Mathematics is currently available. The Wikipedia article on the author states it is "the leading textbook for civil, mechanical, electrical, and chemical engineering undergraduate engineering mathematics." Part of an Open Library list of Classic Engineering Books http://dld.bz/EngClassicsOL
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…never have any information on the history of calculus. I remember being taught limits, differentials, etc purely as mathematical structures. No context what-so-ever. In engineer, I read a book called "Advanced Engineering Mathematics" by Erwin Kreyszig. This was a wonderful book that also had some footnote references to calculus books. It was pulling on that thread and reading quite a bit of history and other good books (MIT Books)…
on “Calculus Made Easy (1910)” ↗…have and books that I heard of: Books that sparked my interest in all of Mathematics (BTW, I'll be glad if you recommend any Abstract Algebra books): - Calculus, Howard Anton. - Calculus, Spivak - Advanced Engineering Mathematics, Erwin Kreyszig - Elementary Number Theory, David Burton. Computer Science/Engineering: - Data Structures and Algorithms, Adam Drozdek - Digital Design, Morris Mano - David Patterson and John Hennesey's…
on “Ask HN: The book that did it for you in math and/or CS?” ↗I think Kreyszig's Advanced Engineering Mathematics is an excellent text in applied math. I'm not sure where you're at or what direction you want to study, but once you're familiar with calculus concepts this text is a good place to go to deal with ODE…
on “Ask HN: Best Mathematics book for complete noobie?” ↗The classic "Advanced Engineering Mathematics" by Erwin Kreyszig was absolutely 'good enough'. Maybe even more important - for me: it was one of the easiest books to follow and digest during my undergrad. See it as a solid base for other heavier/purer…
on “Ask HN: Math books that made you significantly better at math?” ↗Advanced engineering mathematics by Kreyszig Advanced Engineering Mathematics, 10Ed, Isv https://a.co/d/axcq9nk
on “Ask HN: Math books that made you significantly better at math?” ↗Here's an interesting book to consider: https://www.amazon.com/Advanced-Engineering-Mathematics-Math... https://www.amazon.in/Advanced-Engineering-Mathematics-Mathu... https://khannapublishers.in/index.php?route=product/product&... (This sells in India for a mere US $4. Costlier elsewhere.)…
on “Solving First Order Differential Equations with Julia” ↗Advanced Engineering Mathematics - Erwin Kreyszig
on “Ask HN: Which book made you study mathematics” ↗Kreyszig’s Advanced Engineering Mathematics.
on “Ask HN: Which books you have read till now that were worth investing time in?” ↗Advanced Engineering Mathematics by Kreyszig
on “Ask HN: Do you recall any book or course that made a topic finally click?” ↗…just a hacked together pile of shit with tolerable syntax) Physics textbooks tend to get "unique" when you get to topics like Quantum Field Theory. Basic Textbooks are usually fairly to the point. "Advanced Engineering Mathematics" is a good book with a fair amount of history (and written by a mathematician so no Engineering-isms e.g. Notation recognizable to other human beings)
on “For Donald Knuth, good coding is synonymous with beautiful expression” ↗…fleshed out and huge comment, but I am running out of time. Good Luck. [0] Engineering Mathematics by Stroud/Booth https://www.amazon.com/Engineering-Mathematics-K-Stroud/dp/0... https://www.amazon.com/Advanced-Engineering-Mathematics-Kenn... [1] A Course in Modern Mathematical Physics: Groups, Hilbert Space and Differential Geometry by Peter Szekers https://www.amazon.com/Course-Modern-Mathematical-Physics-Di... [2] Book of Proof…
on “Using spaced repetition systems to see through a piece of mathematics” ↗…rather than as a person) is to have a firm grasp of the mathematical basis of their work. It's so much easier to start something new when you can derive it yourself. If you have the time, I recommend "Advanced Engineering mathematics" for the gap between calculus to applications and other topics like Linear Algebra, analysis, and graph theory. If you just want a mapping of symbols to words try LaTeX documentation A la https://oeis.org/wiki/List_of_LaTeX_mathematical_symbols
on “Ask HN: Good articles/courses for understanding mathematical notation?” ↗Seconded. Starts with bare essentials and goes a long way. It’s amazing how much you can learn from this book. (Also, his Advanced Engineering Mathematics.)
on “Ask HN: Recommend a maths book for a teenager?” ↗If you're not too concerned about proofs, I can highly recommend K. A. Stroud's 'Engineering Mathematics', and the follow-on text, 'Advanced Engineering Mathematics'. It leads the reader from basic arithmetic all the way up to complex analysis, one exercise at a time.
on “Ask HN: What are the best general math workbooks?” ↗…recommendations should be fairly evergreen. For plug and chug mathematics from 0 to graduate level try, because it is full of worked examples and exercises, is K.A Stroud Engineering Mathematics, and the Advanced Engineering Mathematics book by the same author. Warning they are Plug and Chug methods, you might also want to take a course on logic and proofs. But if you want to really nail the mechanics of solving typical problems you…
on “Ask HN: Suggest some of the best books in field XYZ for self study” ↗