Mathematical Analysis and Proof

David S G Stirling (Autor)

Buch | Softcover

262 Seiten

2009 | 2nd edition
Horwood Publishing Ltd (Verlag)
978-1-904275-40-4 (ISBN)

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This fundamental and straightforward text addresses a weakness observed among present-day students, namely a lack of familiarity with formal proof. Beginning with the idea of mathematical proof and the need for it, associated technical and logical skills are developed with care and then brought to bear on the core material of analysis in such a lucid presentation that the development reads naturally and in a straightforward progression. Retaining the core text, the second edition has additional worked examples which users have indicated a need for, in addition to more emphasis on how analysis can be used to tell the accuracy of the approximations to the quantities of interest which arise in analytical limits.

David Stirling, formerly, University of Reading, UK

1. Setting the Scene 2. Logic and Deduction 3. Mathematical Induction 4. Sets and Numbers 5. Order and Inequalities 6. Decimals 7. Limits 8. Infinite Series 9. The Structure of the Real Number System 10. Continuity 11. Differentiation 12. Functions Defined by Power Series 13. Integration 14. Functions of Several Variables

Erscheint lt. Verlag	30.4.2009
Sprache	englisch
Gewicht	400 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
ISBN-10	1-904275-40-0 / 1904275400
ISBN-13	978-1-904275-40-4 / 9781904275404
Zustand	Neuware