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Proofs and Fundamentals A First Course in Abstract Mathematics

Name: Proofs and Fundamentals
Author: Ethan D. Bloch

Auteur: Ethan D. Bloch

Taal: Engels

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Auteur: Ethan D. Bloch

Engels
Hardcover
9781441971265
21 februari 2011
358 pagina's

Alle productspecificaties

Samenvatting

this section gained proofs of the Schroeder–Bernstein theorem and the Trichotomy Law for Sets, and lost most of the material about finite and countable sets, which has now been moved to a new section devoted to those two types of sets.

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

Productspecificaties

Inhoud

Taal: en
Bindwijze: Hardcover
Oorspronkelijke releasedatum: 21 februari 2011
Aantal pagina's: 358
Illustraties: Met illustraties

Betrokkenen

Hoofdauteur: Ethan D. Bloch
Hoofduitgeverij: Springer-Verlag New York Inc.

Vertaling

Originele titel: Proofs and Fundementals: A First Course in Abstract Mathematics

Overige kenmerken

Editie: 2
Extra groot lettertype: Nee
Studieboek: Ja
Verpakking breedte: 150 mm
Verpakking hoogte: 31 mm
Verpakking lengte: 238 mm
Verpakkingsgewicht: 921 g

EAN

EAN: 9781441971265

Je vindt dit artikel in

Categorieën: Wetenschap & Natuur

Wiskunde

Algebra

Discrete wiskunde

Grondslagen van de wiskunde

Wiskundige logica

Boeken
Beschikbaarheid: Leverbaar
Taal: Engels
Boek, ebook of luisterboek?: Boek
Studieboek of algemeen: Studieboeken

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