同値類
出典: フリー百科事典『ウィキペディア(Wikipedia)』 (2022/10/11 05:23 UTC 版)
関連項目
- Equivalence partitioning, a method for devising test sets in software testing based on dividing the possible program inputs into equivalence classes according to the behavior of the program on those inputs
- 等質空間: リー群の商空間.
- 代表系
出典
- Avelsgaard, Carol (1989), Foundations for Advanced Mathematics, Scott Foresman, ISBN 0-673-38152-8
- Devlin, Keith (2004), Sets, Functions, and Logic: An Introduction to Abstract Mathematics (3rd ed.), Chapman & Hall/ CRC Press, ISBN 978-1-58488-449-1
- Maddox, Randall B. (2002), Mathematical Thinking and Writing, Harcourt/ Academic Press, ISBN 0-12-464976-9
- Morash, Ronald P. (1987), Bridge to Abstract Mathematics, Random House, ISBN 0-394-35429-X
- Wolf, Robert S. (1998), Proof, Logic and Conjecture: A Mathematician's Toolbox, Freeman, ISBN 978-0-7167-3050-7
関連文献
This material is basic and can be found in any text dealing with the fundamentals of proof technique, such as any of the following:
- Sundstrom (2003), Mathematical Reasoning: Writing and Proof, Prentice-Hall
- Smith; Eggen; St.Andre (2006), A Transition to Advanced Mathematics (6th Ed.), Thomson (Brooks/Cole)
- Schumacher, Carol (1996), Chapter Zero: Fundamental Notions of Abstract Mathematics, Addison-Wesley, ISBN 0-201-82653-4
- O'Leary (2003), The Structure of Proof: With Logic and Set Theory, Prentice-Hall
- Lay (2001), Analysis with an introduction to proof, Prentice Hall
- Gilbert; Vanstone (2005), An Introduction to Mathematical Thinking, Pearson Prentice-Hall
- Fletcher; Patty, Foundations of Higher Mathematics, PWS-Kent
- Iglewicz; Stoyle, An Introduction to Mathematical Reasoning, MacMillan
- D'Angelo; West (2000), Mathematical Thinking: Problem Solving and Proofs, Prentice Hall
- Cupillari, The Nuts and Bolts of Proofs, Wadsworth
- Bond, Introduction to Abstract Mathematics, Brooks/Cole
- Barnier; Feldman (2000), Introduction to Advanced Mathematics, Prentice Hall
- Ash, A Primer of Abstract Mathematics, MAA
- ^ Avelsgaard 1989, p. 127.
- ^ a b Devlin 2004, p. 123.
- ^ Maddox 2002, pp. 77–78.
- ^ Devlin 2004, p. 122.
- ^ Wolf 1998, p. 178.
- ^ Maddox 2002, p. 74, Thm. 2.5.15.
- ^ Avelsgaard 1989, p. 132, Thm. 3.16.
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