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What would be a good textbook for Math 101, specifically to learn some advanced mathematical formalism without actually diving in applied science behind it?
by anton-107 11y ago
What would be a good textbook for Math 101, specifically to learn some advanced mathematical formalism without actually diving in applied science behind it?
- nextos 11y agoI really like Hubbard & Hubbard.
- tdsamardzhiev 11y agoCoursera's Calculus One and Calculus Two courses. I've found other branches of math to be much easier to understand if you have basic knowledge about calculus.
- tomku 11y agoKeeping with the free theme, Book Of Proof by Richard Hammack is a nice introduction to proofs and formalism. It's available free from the author as a PDF[1], and also as a physical book on Amazon[2]. An alternative if you're willing to spend a little is How to Prove It by Daniel J. Velleman, also available from Amazon[3] and probably many other retailers. Both books cover roughly the same topics. [1]: http://www.people.vcu.edu/~rhammack/BookOfProof/ http://www.people.vcu.edu/~rhammack/BookOfProof/ [2]: http://www.amazon.com/Book-Proof-Richard-Hammack/dp/0989472108 http://www.amazon.com/Book-Proof-Richard-Hammack/dp/09894721... [3]: http://www.amazon.com/How-Prove-It-Structured-Approach/dp/0521675995 http://www.amazon.com/How-Prove-It-Structured-Approach/dp/05...
- jordigh 11y agoThis stuff is usually rolled into courses called "abstract algebra". If a textbook is called "abstract algebra", it's usually designed for a first year undergraduate. If it's just called "algebra", it's usually aimed at a more mature audience. Herstein and Hungerford are the texts I learned from. This book seems more recent and popular: http://www.amazon.com/Book-Proof-Richard-Hammack/dp/0989472108/ http://www.amazon.com/Book-Proof-Richard-Hammack/dp/09894721... The other big stream of basic undergraduate mathematics is analysis. For that I recommend Spivak's Calculus.