【2013】Mathematical Reasoning: Writing and Proof
Book 图书名称:Mathematical Reasoning: Writing and Proof
Author 作者:Ted Sundstrom
Publisher 出版社:CreateSpace Independent Publishing Platform
Page 页数:590
Publishing Date 出版时间:Aug 10, 2013
Language 语言:English
Size 大小:5 MB
Format 格式:pdf 文字版
ISBN:1492103853, 9781492103851, 1492103853
Edition: 第1版 搜索过论坛,没有该文档
Mathematical Reasoning: Writing and Proof is a text for the first college mathematics course 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. Another important goal of this text is to provide students with material that will be needed for their further study of mathematics. Important features of the book include: • Emphasis on writing in mathematics • Instruction in the process of constructing proofs • Emphasis on active learning. • Includes material needed for further study in mathematics.