Proofs and Fundamentals: A First Course in Abstract Mathematics Hardcover - 2011
by Ethan D. Bloch
From the rear cover
This textbook is designed to introduce undergraduates to the writing of rigorous mathematical proofs, and to fundamental mathematical ideas such as sets, functions, relations, and cardinality. The book serves as a bridge between computational courses such as calculus and more theoretical courses such as linear algebra, abstract algebra, and real analysis.
This second edition has been significantly enhanced, while maintaining the balance of topics and careful writing of the previous edition. Part 1 presents logic and basic proof techniques; Part 2 thoroughly covers fundamental material such as sets, functions and relations; and Part 3 introduces a variety of extra topics such as groups, combinatorics and sequences, and suggests avenues for independent student explorations.
A gentle, friendly style is used, in which motivation and informal discussion play a key role, and yet high standards in rigor and in writing are never compromised.
Reviews of the first edition:
This is a well-written book, based on very sound pedagogical ideas. It would be an excellent choice as a textbook for a 'transition' course.
--Zentralblatt Math
'Proofs and Fundamentals' has many strengths. One notable strength is its excellent organization... There are large exercise sets throughout the book... the exercises are well integrated with the text and vary appropriately from easy to hard... Perhaps the book's greatest strength is the author's zeal and skill for helping students write mathematics better.
--MAA Online
Details
- Title Proofs and Fundamentals: A First Course in Abstract Mathematics
- Author Ethan D. Bloch
- Binding Hardcover
- Edition 2nd ed. 2011
- Pages 358
- Volumes 1
- Language ENG
- Publisher Springer, New York
- Date 2011-02-21
- ISBN 9781441971265 / 1441971262
- Weight 1.6 lbs (0.73 kg)
- Dimensions 9.4 x 6.4 x 1.2 in (23.88 x 16.26 x 3.05 cm)
-
Themes
- Aspects (Academic): Science/Technology Aspects
- Dewey Decimal Code 511.3
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