Methods of mathematics applied to calculus, probability, and statistics

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1. rramadassAug 2026
   Some good books for introductory Calculus;

   1) Calculus: Basic Concepts for High Schools by Lev Tarasov. Soviet-era book written as a dialogue between the author and reader. Absolutely fantastic (also see his other books on Probability etc.) - https://mirtitles.org/2018/09/04/calculus-basic-concepts-for...

   2) Calculus: An Intuitive and Physical Approach by Morris Kline. A classic; any book by Morris Kline is a must-have - https://store.doverpublications.com/products/9780486404530

   3) Calculus: The Princess of Mathematics by H.C.Verma et al. A two-vol must-have affordable set. The author is a well-known Indian Physics professor and this is written specifically for students to "understand" calculus i.e. it is not a typical textbook. - https://garudalife.in/calculus-the-princess-of-mathematics-v...

   4) How to Think about Analysis by Lara Alcock. Provides conceptual insight like the Tarasov book above. Checkout the author's other books too. - https://global.oup.com/academic/product/how-to-think-about-a...

   I believe we need to study Calculus alongside Probability/Statistics nowadays due to their pervasive use in ML/AI/etc. To that end;

   a) Methods of Mathematics Applied to Calculus, Probability, and Statistics by Richard Hamming. It is by Hamming so one of the best. - https://store.doverpublications.com/products/9780486439457?_...

   b) Calculus and Statistics by Michael Gemignani. Similar to the above - https://store.doverpublications.com/products/9780486449937

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2. rramadassApr 2024
   "Approachability" might vary somewhat but you might find the following useful;

   * For an introduction (and a reference) to various areas of Modern Mathematics that one didn't even know existed, The Princeton Companion to Mathematics and The Princeton Companion to Applied Mathematics are a must.

   * All the Math You Missed: (But Need to Know for Graduate School) by Thomas Garrity - A survey and a good adjunct to a textbook.

   * Mathematics: Its Content, Methods and Meaning by Kolmogorov et al. - Classic text from the great Russian Mathematicians.

   * Methods of Mathematics Applied to Calculus, Probability, and Statistics by Richard Hamming - Unique text from the great Richard Hamming (also checkout his other books).

   There is plenty more of course, specifically; checkout "Dover Publications" texts, many of which are classics and affordable.

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3. yesenadamNov 2022
   I love everything by Richard Hamming. They're soaked with the enormous practical experience/expertise he has with what he writes about. They're not just about applied maths, but about the range of problems you run into when you try to apply them e.g.

   Numerical Methods for Scientists and Engineers (1962)

   Introduction To Applied Numerical Analysis (1971)

   Digital Filters (1977)

   Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)

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4. rramadassNov 2022
   You beat me to it!

   In particular; Methods of Mathematics Applied to Calculus, Probability, and Statistics is one of a kind.

   For the OP; there is also The Art Of Probability by Richard Hamming which you might find interesting.

   And finally of course everybody needs to read; The Art of Doing Science and Engineering: Learning to Learn by Richard Hamming.

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5. rramadassOct 2022
   You are going to love Methods of Mathematics Applied to Calculus, Probability, and Statistics by Richard Hamming (one of the greatest applied mathematicians).
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6. max_Oct 2022
   Richard W. Hamming, Applied Mathematics - Methods of Mathematics Applied to Calculus, Probability, and Statistics.
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