RecordNumber
2080
Author
Vakil, Nader
Birth-Death
1948-
Title
Real analysis through modern infinitesimals
Author Statement
Nader Vakil
Publication
Cambridge University Press
Publication Year
2011
Collation
xix, 565 p.: ill
Series
Encyclopedia of mathematics and its applications; 140
Notes
Includes bibliographical references (pages 554-556) and index , Machine generated contents note: Preface; Introduction; Part I. Elements of Real Analysis: 1. Internal set theory; 2. The real number system; 3. Sequences and series; 4. The topology of R; 5. Limits and continuity; 6. Differentiation; 7. Integration; 8. Sequences and series of functions; 9. Infinite series; Part II. Elements of Abstract Analysis: 10. Point set topology; 11. Metric spaces; 12. Complete metric spaces; 13. Some applications of completeness; 14. Linear operators; 15. Differential calculus on Rn; 16. Function space topologies; A. Vector spaces; B. The b-adic representation of numbers; C. Finite, denumerable, and uncountable sets; D. The syntax of mathematical languages; References; Index.
Subject
Mathematical analysis , Set theory , MATHEMATICS / Mathematical Analysis
ADDED ENTRIES
,
LC Class
QA
LC Number
300
LC CutterNumber
.V28R4
LC Date
2011