A Transition to Abstract Mathematics

A Transition to Abstract Mathematics
Author :
Publisher : Academic Press
Total Pages : 379
Release :
ISBN-10 : 9780080922713
ISBN-13 : 0080922716
Rating : 4/5 (13 Downloads)

Book Synopsis A Transition to Abstract Mathematics by : Randall Maddox

Download or read book A Transition to Abstract Mathematics written by Randall Maddox and published by Academic Press. This book was released on 2008-10-13 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constructing concise and correct proofs is one of the most challenging aspects of learning to work with advanced mathematics. Meeting this challenge is a defining moment for those considering a career in mathematics or related fields. A Transition to Abstract Mathematics teaches readers to construct proofs and communicate with the precision necessary for working with abstraction. It is based on two premises: composing clear and accurate mathematical arguments is critical in abstract mathematics, and that this skill requires development and support. Abstraction is the destination, not the starting point.Maddox methodically builds toward a thorough understanding of the proof process, demonstrating and encouraging mathematical thinking along the way. Skillful use of analogy clarifies abstract ideas. Clearly presented methods of mathematical precision provide an understanding of the nature of mathematics and its defining structure. After mastering the art of the proof process, the reader may pursue two independent paths. The latter parts are purposefully designed to rest on the foundation of the first, and climb quickly into analysis or algebra. Maddox addresses fundamental principles in these two areas, so that readers can apply their mathematical thinking and writing skills to these new concepts. From this exposure, readers experience the beauty of the mathematical landscape and further develop their ability to work with abstract ideas. - Covers the full range of techniques used in proofs, including contrapositive, induction, and proof by contradiction - Explains identification of techniques and how they are applied in the specific problem - Illustrates how to read written proofs with many step by step examples - Includes 20% more exercises than the first edition that are integrated into the material instead of end of chapter


A Transition to Abstract Mathematics Related Books

A Transition to Abstract Mathematics
Language: en
Pages: 379
Authors: Randall Maddox
Categories: Mathematics
Type: BOOK - Published: 2008-10-13 - Publisher: Academic Press

DOWNLOAD EBOOK

Constructing concise and correct proofs is one of the most challenging aspects of learning to work with advanced mathematics. Meeting this challenge is a defini
Mathematical Thinking and Writing
Language: en
Pages: 324
Authors: Randall Maddox
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher: Academic Press

DOWNLOAD EBOOK

The ability to construct proofs is one of the most challenging aspects of the world of mathematics. It is, essentially, the defining moment for those testing th
An Introduction to Abstract Mathematics
Language: en
Pages: 344
Authors: Robert J. Bond
Categories: Mathematics
Type: BOOK - Published: 2007-08-24 - Publisher: Waveland Press

DOWNLOAD EBOOK

Bond and Keane explicate the elements of logical, mathematical argument to elucidate the meaning and importance of mathematical rigor. With definitions of conce
An Elementary Transition to Abstract Mathematics
Language: en
Pages: 260
Authors: Gove Effinger
Categories: Mathematics
Type: BOOK - Published: 2019-11-05 - Publisher: CRC Press

DOWNLOAD EBOOK

An Elementary Transition to Abstract Mathematics will help students move from introductory courses to those where rigor and proof play a much greater role. The
Bridge to Abstract Mathematics
Language: en
Pages: 254
Authors: Ralph W. Oberste-Vorth
Categories: Mathematics
Type: BOOK - Published: 2020-02-20 - Publisher: American Mathematical Society

DOWNLOAD EBOOK

A Bridge to Abstract Mathematics will prepare the mathematical novice to explore the universe of abstract mathematics. Mathematics is a science that concerns th