How to Think Like a Mathematician: A Companion to Undergraduate Mathematics

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How to think like a mathematician : a companion to undergraduate mathematics

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Your rating has been recorded. Write a review Rate this item: Preview this item Preview this item. How to think like a mathematician: Cambridge ; New York: Allow this favorite library to be seen by others Keep this favorite library private. Find a copy in the library Finding libraries that hold this item Kevin Houston Find more information about: That said, the math ideas are very clearly written and accurate and I could see this being very beneficial to first year undergrads.

Aug 21, Samuel rated it really liked it. For gradeschoolers entering university. Aug 01, Ben G is currently reading it Shelves: I bought this so I could understand the language of mathematics e. I'm not a mathematician by trade, but use mathematical techniques i.

How to Think Like a Mathematician : Kevin Houston :

Thus, an absolute necessity to understand more of maths beyond the crash course I did in biomathematics at university. Beyond chapter 1 which gives a thorough overview of sets theory and brief introductions to maps and functions. Chapter's 2 and 3 are concerned with I bought this so I could understand the language of mathematics e.

Aug 06, Perro rated it it was amazing. Definitely worth reading even for people who don't study maths, but I find it hard to comprehend, not the mathematical bit but it's a bit dull for me and sometimes it feels like the author spent pages and pages to say about one thing, which should be a lie to explain or clarify in one chapter. Also there are many excises without solution, if you are reading it on your own, how can you know your answer is right?

Aug 16, Bashnev rated it liked it Shelves: A lot of good material explained well.

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Wish I had something like this when I was an undergraduate. Nov 14, Irene rated it it was amazing Shelves: Excellent book for anyone taking classes heavy in mathematics.

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Agnes Deng rated it liked it Apr 16, Ndk rated it it was amazing Apr 23, Suat Atan rated it it was amazing Aug 05, Judah Cliff Bayawon rated it it was amazing Aug 07, Christopher Jack rated it it was amazing Mar 24, Sean Downey rated it liked it Nov 20, David Toth rated it it was amazing Jul 12, Neil James rated it really liked it Jul 08, Goetz Kluge rated it it was amazing Mar 20, Matilde Andersen rated it liked it Nov 23, Writing mathematics II; 5.

How to solve problems; Part II. How To Think Logically: Making a statement; 7. Finer points concerning implications; 9. Converse and equivalence; Quantifiers - For all and There exists; Complexity and negation of quantifiers; Examples and counterexamples; Summary of logic; Part III.

Definitions, Theorems and Proofs: Definitions, theorems and proofs; How to read a definition; How to read a theorem; How to read a proof; Techniques of proof I: Some common mistakes; Techniques of proof II: Techniques of proof III: Techniques of proof IV: