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Mathematical reasoning : writing and proof / Ted Sundstrom.
- Format:
- Book
- Author/Creator:
- Sundstrom, Theodore A.
- Series:
- Open Textbook Library.
- Open textbook library.
- Language:
- English
- Subjects (All):
- Proof theory.
- Physical Description:
- 1 online resource : illustrations.
- Updated irregularly.
- Distribution:
- Minneapolis : Open Textbook Library.
- Place of Publication:
- [Place of publication not identified] : [Ted Sundstrom], [2015]-
- System Details:
- Mode of access: World Wide Web.
- text file
- Summary:
- "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 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."--Open Textbook Library.
- Contents:
- Introduction to writing in mathematics
- Logical reasoning
- Constructing and writing proofs in mathematics
- Set theory
- Mathematical induction
- Functions
- Equivalence relations
- Topics in number theory
- Finite and Infinite Sets
- Notes:
- Includes index.
- This bibliographic record is available under the Creative Commons CC0 "No Rights Reserved" license.
- Description based on online version, version 2.0, July 29, 2015; Title from PDF (viewed on July 25, 2016)
- ISBN:
- 1492103853
- 9781492103851
- OCLC:
- 953967825
- Access Restriction:
- Open Access Unrestricted online access
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