Proof, Logic and Conjecture
The Mathematician's Toolbox
Seiten
1997
W.H.Freeman & Co Ltd (Verlag)
978-0-7167-3050-7 (ISBN)
W.H.Freeman & Co Ltd (Verlag)
978-0-7167-3050-7 (ISBN)
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This text is designed to teach students how to read and write proofs in mathematics and to acquaint them with how mathematicians investigate problems and formulate conjecture.
Starting with an explanation of what 'proof' means to a mathematician, this student-friendly introductory text is aimed at undergraduates in mathematics and related disciplines. It shows students how to read and write mathematical proofs and describes how mathematicians investigate problems and formulate conjecture. Students develop their skills in logic by following precise rules, and examples and exercises relating to discovery and conjecture appear throughout. The author also covers mathematical concepts such as real and complex numbers, relations and functions and set theory.
Starting with an explanation of what 'proof' means to a mathematician, this student-friendly introductory text is aimed at undergraduates in mathematics and related disciplines. It shows students how to read and write mathematical proofs and describes how mathematicians investigate problems and formulate conjecture. Students develop their skills in logic by following precise rules, and examples and exercises relating to discovery and conjecture appear throughout. The author also covers mathematical concepts such as real and complex numbers, relations and functions and set theory.
Part 1 Logic and proofs: proposition logic; predicate logic; mathematical proofs. Part 2 Sets, relations and functions: sets; relations; functions. Part 3 Number systems: the integers and the rationals; the real number system; the complex number system.
Erscheint lt. Verlag | 9.3.1998 |
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Zusatzinfo | 150 illustrations, bibliography, index |
Sprache | englisch |
Maße | 189 x 242 mm |
Gewicht | 928 g |
Themenwelt | Geisteswissenschaften ► Philosophie ► Logik |
Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre | |
ISBN-10 | 0-7167-3050-2 / 0716730502 |
ISBN-13 | 978-0-7167-3050-7 / 9780716730507 |
Zustand | Neuware |
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