R. P. Burn (University of Exeter)

Numbers and Functions

• Broschiertes Buch

Produktbeschreibung

In this updated edition of Numbers and Functions, the reader is invited to tackle each of the key concepts of mathematical analysis in turn, progressing from experience through a structured sequence of over 800 problems to concepts, definitions and proofs of classical real analysis.

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Produktdetails

• Verlag: Cambridge University Press
• 3 Revised edition
• Seitenzahl: 374
• Erscheinungstermin: 27. Juli 2018
• Englisch
• Abmessung: 229mm x 152mm x 23mm
• Gewicht: 560g
• ISBN-13: 9781107444539
• ISBN-10: 1107444535
• Artikelnr.: 41493658

Autorenporträt

R. P. Burn is an Honorary University Fellow at the University of Exeter. His other titles include Groups: A Path to Geometry (1985) and A Pathway into Number Theory (1982).

Inhaltsangabe

Preface to first edition
Preface to second edition
Preface to third edition
Glossary
Part I. Numbers: 1 Mathematical induction
2. Inequalities
3. Sequences: a first bite at infinity
4. Completeness: what the rational numbers lack
5. Series: infinite sums
Part II. Functions: 6. Functions and continuity: neighbourhoods, limits of functions
7. Continuity and completeness: functions on intervals
8. Derivatives: tangents
9. Differentiation and completeness: mean value theorems, Taylor's Theorem
10. Integration: the fundamental theorem of calculus
11. Indices and circle functions
12. Sequences of functions
Appendix 1. Properties of the real numbers
Appendix 2. Geometry and intuition
Appendix 3. Questions for student investigation and discussion
Bibliography
Index.