Interactive Introduction to Mathematical Analysis

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

List of contents

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.

Product details

• Authors: Jonathan Lewin, Jonathan (Kennesaw State University Lewin, Lewin Jonathan
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 23.01.2014
• EAN: 9781107694040
• ISBN: 978-1-107-69404-0
• No. of pages: 526
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / Mathematical Analysis, Calculus & mathematical analysis, Calculus and mathematical analysis