TY  - GEN
AU  - Laczkovich,Miklos
AU  - Sos,Vera T.
TI  - Real analysis : : foundations and functions of one variable 
T2  - Undergraduate texts in mathematics
SN  - 9781493927654
U1  - 515 23
PY  - 2015///
CY  - New York
PB  - Springer
KW  - Mathematical analysis.
N1  - Includes bibliographical references and index; 1. A Short Historical Introduction.- 
2. Basic Concepts.- 
3. Real Numbers.- 
4. Infinite Sequences I.- 
5. Infinite Sequences II.- 
6. Infinite Sequences III.- 
7. Rudiments of Infinite Series.- 
8. Countable Sets.- 
9. Real Valued Functions of One Variable.- 
10. Continuity and Limits of Functions.- 
11. Various Important Classes of Functions (Elementary Functions).- 
12. Differentiation.- 
13. Applications of Differentiation.- 
14. The Definite Integral.- 
15. Integration.- 
16. Applications of Integration.- 
17. Functions of Bounded Variation.- 
18. The Stieltjes Integral.- 
19. The Improper Integral.-
Hints, solutions.-
Notation.-
References.-
Index
N2  - The book provides a solid grounding in the basics of logic and proofs, sets, and real numbers, in preparation for a study of the main topics: limits, continuity, rational functions and transcendental functions, differentiation, and integration. Numerous applications to other areas of mathematics, and to physics, are given, thereby demonstrating the practical scope and power of the theoretical concepts treated
ER  -