TY  - BOOK
AU  - Kriz,Igor
AU  - Kriz, Igor
AU  -  Pultr,Aleš
TI  - Introduction to mathematical analysis
SN  - 9783034806350
U1  - 515 
PY  - 2013///
CY  - New York
PB  - Birkhauser
KW  - Sequences (Mathematics)	
KW  - Functions of complex variables	
N1  - Part 1. A Rigorous Approach to Advanced Calculus.- 

1. Preliminaries.-

2. Metric and Topological Spaces I.-

3. Multivariable Differential Calculus.- 

4. Integration I: Multivariable Riemann Integral and Basic Ideas toward the Lebesgue Integral.- 

5. Integration II: Measurable Functions, Measure and the Techniques of Lebesgue Integration.- 

6. Systems of Ordinary Differential Equations.- 7. System of Linear Differential Equations.-

8. Line Integrals and Green's Theorem.-

 Part 2. Analysis and Geometry.- 

9. An Introduction to Complex Analysis.-

10. Metric and Topological Spaces II.-

11. Multilinear Algebra.- 

12. Smooth Manifolds, Differential Forms and Stokes' Theorem.-

13. Calculus of Variations and the Geodesic Equation.- 

14. Tensor Calculus and Riemannian Geometry.- 

15. Hilbert Spaces I: Definitions and Basic Properties.- 1

6. Hilbert Spaces
ER  -