Book Description 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.

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.

There are no changes in content between Version 2. A few minor errors in Version 2. In addition, there are no changes in content between Version 1. The only change is that Appendix C, Answers and Hints for Selected Exercises, now contains solutions and hints for more exercises.A key ingredient of this new University of Manchester curriculum is a module on Mathematical Reasoning whose purpose is to introduce the basic ideas of mathematical proof and to develop skills in writing mathematics, helping to bridge the gap between school and university mathematics.

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Use features like bookmarks, note taking and highlighting while reading Measurement. Mathematical Reasoning: Writing and Proof is a text for the?rst 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 . This textbook is designed for the first course in the college mathematics curriculum that introduces students to the process of constructing and writing proofs.

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Mathematical Reasoning: Writing and Proof - Theodore A. Sundstrom - Google Books