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 Proofs and Fundamentals: A First Course in Abstract Mathematics

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dryemen
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Join date : 2011-03-12

PostSubject: Proofs and Fundamentals: A First Course in Abstract Mathematics    Sun Mar 13, 2011 4:10 am

Proofs and Fundamentals: A First Course in Abstract Mathematics Publisher: Birkhäuser Boston | pages: 445 | 2000 | ISBN: 0817641114 | PDF | 14,5 mb "Proofs and Fundamentals: A First Course in Abstract Mathematics" is designed as a 'transition' course to introduce undergraduates to the writing of rigorous mathematical proofs, and to such fundamental mathematical ideas as sets, functions, relations, and cardinality. The text serves as a bridge between computational courses such as calculus, and more theoretical, proofs-oriented courses such as linear algebra, abstract algebra, and real analysis. This 3-part work carefully balances Proofs, Fundamentals, and Extras. Part 1 presents logic and basic proof techniques; Part 2 thoroughly covers fundamental material including sets, functions, and relations; and Part 3 introduces a variety of extra topics such as groups, combinatorics, and the Peano Postulates. A gentle, friendly style is used, in which motivation and informal discussion play a key role, and yet high standards in rigor and writing are never compromised. The material is presented in the way that mathematicians actually use it; good mathematical taste is preferred to overly clever pedagogy. There is a key section devoted to the proper writing of proofs. The text has over 400 exercises, ranging from straightforward examples to very challenging proofs. http://depositfiles.com/en/files/eb7ewfjsh
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rsmith31415
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PostSubject: Re: Proofs and Fundamentals: A First Course in Abstract Mathematics    Wed Apr 06, 2011 9:11 pm

thanks for your contribution
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tunnelier
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PostSubject: Re: Proofs and Fundamentals: A First Course in Abstract Mathematics    Tue Jun 07, 2011 2:31 am

thank u
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