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Introduction to mathematical analysis/ Igor Kriz and Aleš Pultr

By: Kriz,IgorContributor(s): Kriz, Igor | Pultr,AlešMaterial type: Text

TextPublication details: New York: Birkhauser, 2013Description: 510pISBN: 9783034806350Subject(s): Sequences (Mathematics) | Functions of complex variables | Functions of complex variables DDC classification: 515

Contents:

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

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode	Item holds
General Books	Central Library, Sikkim University General Book Section	515 KRI/I (Browse shelf(Opens below))	Available		P41950

Total holds: 0

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

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