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
9783034806350
Sequences (Mathematics)
Functions of complex variables
Functions of complex variables
515 / KRI/I
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
9783034806350
Sequences (Mathematics)
Functions of complex variables
Functions of complex variables
515 / KRI/I