| 000 | 02677nam a2200361 4500 | ||
|---|---|---|---|
| 001 | OTLid0000225 | ||
| 003 | MnU | ||
| 005 | 20201105133309.0 | ||
| 006 | m o d s | ||
| 008 | 180907s2014 mnu o 0 0 eng d | ||
| 020 | _a9781492103851 | ||
| 040 |
_aMnU _beng _cMnU |
||
| 050 | 4 | _aQA1 | |
| 050 | 4 | _aQA37.3 | |
| 100 | 1 |
_aSundstrom, Ted _eauthor |
|
| 245 | 0 | 0 |
_aMathematical Reasoning _bWriting and Proof, Version 2.1 _cTed Sundstrom |
| 264 | 2 | _bOpen Textbook Library | |
| 264 | 1 | _bGrand Valley State University | |
| 300 | _a1 online resource | ||
| 490 | 0 | _aOpen textbook library. | |
| 505 | 0 | _a1 Introduction to Writing Proofs in Mathematics -- 2 Logical Reasoning -- 3 Constructing and Writing Proofs in Mathematics -- 4 Mathematical Induction -- 5 Set Theory -- 6 Functions -- 7 Equivalence Relations -- 8 Topics in Number Theory -- 9 Finite and Infinite Sets -- A Guidelines for Writing Mathematical Proofs -- B Answers for the Progress Checks -- C Answers and Hints for Selected Exercises -- D List of Symbols -- Index | |
| 520 | 0 | _aMathematical Reasoning: Writing and Proofis designed to be a text for the ?rst 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. | |
| 542 | 1 | _fAttribution-NonCommercial-ShareAlike | |
| 546 | _aIn English. | ||
| 588 | 0 | _aDescription based on print resource | |
| 650 | 0 |
_aMathematics _vTextbooks |
|
| 710 | 2 |
_aOpen Textbook Library _edistributor |
|
| 856 | 4 | 0 |
_uhttps://open.umn.edu/opentextbooks/textbooks/225 _zAccess online version |
| 999 |
_c19629 _d19629 |
||