Mathematical Reasoning: Writing and Proof, Version 2.1
This textbook is designed for the first course in the college mathematics curriculum that introduces students to the process of constructing and writing proofs.
Tag(s): Proofs
Publication date: 11 Jun 2014
ISBN-10: 1500143413
ISBN-13: 9781492103851
Paperback: 608 pages
Views: 9,354
Type: Textbook
Publisher: CreateSpace Independent Publishing Platform
License: Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported
Post time: 16 Nov 2016 09:00:00
Mathematical Reasoning: Writing and Proof, Version 2.1
This textbook is designed for the first course in the college mathematics curriculum that introduces students to the process of constructing and writing proofs.
Publication date: 11 Jun 2014
ISBN-10: 1500143413
ISBN-13: 9781492103851
Paperback: 608 pages
Views: 9,354
Document Type: Textbook
Publisher: CreateSpace Independent Publishing Platform
License: Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported
Post time: 16 Nov 2016 09:00:00
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Ted Sundstrom wrote:Mathematical Reasoning: Writing and Proof is designed to be a text for the first course in the college mathematics curriculum that introduces students to the processes of constructing and writing proofs and focuses on the formal development of mathematics. The primary goals of the text are to help students:
- Develop logical thinking skills and to develop the ability to think more abstractly in a proof oriented setting.
- Develop the ability to construct and write mathematical proofs using standard methods of mathematical proof including direct proofs, proof by contradiction, mathematical induction, case analysis, and counterexamples.
- Develop the ability to read and understand written mathematical proofs.
- Develop talents for creative thinking and problem solving.
- Improve their quality of communication in mathematics. This includes improving writing techniques, reading comprehension, and oral communication in mathematics.
- Better understand the nature of mathematics and its language.
This text also provides students with material that will be needed for their further study of mathematics.
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About The Author(s)
Professor of Mathematics at Grand Valley State University. Experienced in undergraduate curriculum development and integrating the use of technology, problem solving strategies, history, and writing in the following areas of undergraduate mathematics: calculus, linear algebra, abstract algebra, number theory, communicating in mathematics, general education mathematics, and precalculus mathematics.
Professor of Mathematics at Grand Valley State University. Experienced in undergraduate curriculum development and integrating the use of technology, problem solving strategies, history, and writing in the following areas of undergraduate mathematics: calculus, linear algebra, abstract algebra, number theory, communicating in mathematics, general education mathematics, and precalculus mathematics.