Numbers and Proofs
Seiten
1997
Butterworth-Heinemann Ltd (Verlag)
978-0-340-67653-0 (ISBN)
Butterworth-Heinemann Ltd (Verlag)
978-0-340-67653-0 (ISBN)
An introduction to the notion of proof, enabling the reader to decipher proofs as well as construct their own. Useful methods of proof are illustrated in the context of studying problems mainly concerning numbers (real, rational, complex and integers). There are exercises and worked examples.
'Numbers and Proofs' presents a gentle introduction to the notion of proof to give the reader an understanding of how to decipher others' proofs as well as construct their own. Useful methods of proof are illustrated in the context of studying problems concerning mainly numbers (real, rational, complex and integers). An indispensable guide to all students of mathematics. Each proof is preceded by a discussion which is intended to show the reader the kind of thoughts they might have before any attempt proof is made. Established proofs which the student is in a better position to follow then follow.
Presented in the author's entertaining and informal style, and written to reflect the changing profile of students entering universities, this book will prove essential reading for all seeking an introduction to the notion of proof as well as giving a definitive guide to the more common forms. Stressing the importance of backing up "truths" found through experimentation, with logically sound and watertight arguments, it provides an ideal bridge to more complex undergraduate maths.
'Numbers and Proofs' presents a gentle introduction to the notion of proof to give the reader an understanding of how to decipher others' proofs as well as construct their own. Useful methods of proof are illustrated in the context of studying problems concerning mainly numbers (real, rational, complex and integers). An indispensable guide to all students of mathematics. Each proof is preceded by a discussion which is intended to show the reader the kind of thoughts they might have before any attempt proof is made. Established proofs which the student is in a better position to follow then follow.
Presented in the author's entertaining and informal style, and written to reflect the changing profile of students entering universities, this book will prove essential reading for all seeking an introduction to the notion of proof as well as giving a definitive guide to the more common forms. Stressing the importance of backing up "truths" found through experimentation, with logically sound and watertight arguments, it provides an ideal bridge to more complex undergraduate maths.
The need for proof * Statements and connectives * True or false? * Sets, negations, notations and functions * Proofs....for all * There exists....proofs * The principle of mathematical induction * The integers and rational numbers * The rational numbers and the real numbers * Real numbers and complex numbers * Guessing, analogy and transformation * Generalisation and specialisation * Fallacies and paradoxes * A mixed bag * Solutions appendix * Answers to exercises * References.
| Erscheint lt. Verlag | 26.9.1997 |
|---|---|
| Reihe/Serie | Modular Mathematics Series |
| Verlagsort | Oxford |
| Sprache | englisch |
| Maße | 171 x 244 mm |
| Gewicht | 540 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre |
| ISBN-10 | 0-340-67653-1 / 0340676531 |
| ISBN-13 | 978-0-340-67653-0 / 9780340676530 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Buch | Softcover (2024)
World Scientific Publishing Co Pte Ltd (Verlag)
CHF 43,60
what we have that machines don't
Buch | Softcover (2024)
Profile Books Ltd (Verlag)
CHF 19,15
how simple questions lead us to mathematics’ deepest truths
Buch | Softcover (2024)
Profile Books Ltd (Verlag)
CHF 19,15
