Jonathan Lewin

An Interactive Introduction to Mathematical Analysis

• Broschiertes Buch

Produktbeschreibung

This book provides a rigorous course in the calculus of functions of a real variable.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 526
• Erscheinungstermin: 8. Januar 2014
• Englisch
• Abmessung: 254mm x 178mm x 28mm
• Gewicht: 978g
• ISBN-13: 9781107694040
• ISBN-10: 1107694043
• Artikelnr.: 40492635

Inhaltsangabe

1. The emergence of rigorous calculus
2. Mathematical grammar
3. Strategies for writing proofs
4. Elements of set theory
5. The real number system
6. Elementary topology of the real line
7. Limits of sequences
8. Limits and continuity of functions
9. Differentiation
10. The exponential and logarithmic functions
11. The Riemann integral
12. Infinite series
13. Improper integrals
14. Sequences and series of functions
15. Calculus of a complex variable
16. Integration of functions of two variables
17. Sets of measure zero
18. Calculus of several variables.