Introduction to mathematical analysis/ Igor Kriz and Aleš Pultr
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Item type | Current library | Call number | Status | Date due | Barcode | Item holds |
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Central Library, Sikkim University General Book Section | 515 KRI/I (Browse shelf(Opens below)) | Available | P41950 |
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515 JUN/C A course in real analysis/ | 515 KAY/S Schum`s outlines tensor calculas/ | 515 KNA/B Basic real analysis: along with a companion volume advanced real analysis/ | 515 KRI/I Introduction to mathematical analysis/ | 515 LAN/F A first course in calculus/ | 515 LAX/C Calculus With Applications/ | 515 LAX/C Calculus with Applications/ |
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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