100 Per Cent Mathematics Proof - Rowan Garnier, John Taylor

100 Per Cent Mathematics Proof

Buch | Hardcover
326 Seiten
1996
John Wiley & Sons Ltd (Verlag)
978-0-471-96198-7 (ISBN)
114,81 inkl. MwSt
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Proof has been, and remains, one of the concepts which characterizes mathematics. Covering basic propositional and predicate logic as well as discussing axiom systems and formal proofs, this text seeks to explain what mathematicians understand by proofs and how they are communicated. The authors explore the principal techniques of direct and indirect proof including induction, existence and uniqueness proofs, proof by contradiction, and constructive and non-constructive proofs. Many examples of proofs are presented and some common student errors are explained. The exercises assume only a secondary school background in mathematics, although examples from analysis and modern algebra are included.

Proofs: Mathematical and Non-Mathematical; Propositional Logic; Predicate Logic; Axiom Systems and Formal Proof; Direct Proof; Direct Proofs: Variations; Existence and Uniqueness Proofs; Further Proof Techniques; Mathematical Induction; Appendix; References and Further Reading; Hints and Solutions to Selected Exercises; Index.

Erscheint lt. Verlag 14.6.1996
Verlagsort Chichester
Sprache englisch
Maße 175 x 252 mm
Gewicht 770 g
Themenwelt Mathematik / Informatik Mathematik Logik / Mengenlehre
ISBN-10 0-471-96198-1 / 0471961981
ISBN-13 978-0-471-96198-7 / 9780471961987
Zustand Neuware
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