Proofs and fundamentals: a first course in abstract mathematics Bloch, Ethan D.

By:

Bloch, Ethan D

Publication details: Springer 2013 New YorkEdition: 2ndDescription: xxiv, 359 pISBN:

9781461428107

Subject(s):

DDC classification:

511.3 B5P7

Summary: 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. http://www.springer.com/in/book/9781441971265

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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
Book	Ahmedabad	Non-fiction	511.3 B5P7 (Browse shelf(Opens below))	Available		194959

Total holds: 0

Table of Contents

Part I. Proofs.
1. Informal logic --
2. Strategies for proofs --

Part II. Fundamentals.
3. Sets --
4. Functions --
5. Relations --
6. Finite sets and infinite sets --

Part III. Extras.
7. Selected topics --
8. Explorations.

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.

http://www.springer.com/in/book/9781441971265

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