Rigorous calculus textbook11/18/2023 ![]() If you have a genuine interest in mathematics, you will want to supplement your reading with various other books for these reasons: (1) to further explore topics in elementary math (2) to work on harder problems (3) to improve your ability to write proofs. This might be best reserved for a second pass through elementary geometry, if you want one.) (There is also the wonderful, but very hard Lessons in Geometry by Hadamard, the first volume of which now has an English translation. But there is little there that is not covered in Parsonson's books - see below.)įor geometry, please have a look at the answer here. A good book that carries trigonometry further roughly from the point where Lang leaves off would be Trigonometry by Nobbs. (Edit: You mentioned that Lang didn't go far enough in trigonometry. Trigonometry by Gelfand and Saul (This is in the same collection as the other books of Gelfand's that I mention below, but it is much closer to an ordinary textbook than they are.).Elementary Trigonometry by Durell (see here). ![]() In trigonometry, it would be reasonable but not strictly necessary to use a second source, such as:
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