Proofs and Fundamentals: A First Course in Abstract Mathematics

Name: Proofs and Fundamentals: A First Course in Abstract Mathematics
Brand: Springer Verlag
SKU: 9781441971265
Price: 5819.0 INR
Availability: InStock

by Bloch , Ethan D.

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ISBN13: 9781441971265
Binding: Hardcover
Subject: Mathematics and Statistics
Publisher: Springer Verlag
Publisher Imprint: Springer
Publication Date: January 1, 2011
Pages: 358
Original Price: GBP 53.99
Language: English
Edition: N/A
Item Weight: 726 grams
BISAC Subject(s): Logic, Algebra / General, and Combinatorics

About The Book

From the Back 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

About The Author

Dr. Ethan D. Bloch of Bard College is the author of two Springer publications "A First Course in Geometric Topology and Differential Geometry," and the first and second editions of, "Proofs and Fundamentals: A First Course in Abstract Mathematics." More information about Dr. Ethan D. Bloch can be found on his person web page: http: //math.bard.edu/bloch

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