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Introduction to mathematical analysis/

Kriz,Igor

Introduction to mathematical analysis/ Igor Kriz and Aleš Pultr - New York: Birkhauser, 2013. - 510p.

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

ISBN: 9783034806350

Subjects--Topical Terms:
Sequences (Mathematics)
Functions of complex variables
Functions of complex variables

Dewey Class. No.: 515 / KRI/I