Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- Symbols
- Part I Numerical Linear Algebra
- Part II Constructive Approximation Theory
- Part III Nonlinear Equations and Optimization
- Part IV Initial Value Problems for Ordinary Differential Equations
- Part V Boundary and Initial Boundary Value Problems
- Appendix A Linear Algebra Review
- Appendix B Basic Analysis Review
- Appendix C Banach Fixed Point Theorem
- Appendix D A (Petting) Zoo of Function Spaces
- References
- Index
Appendix B - Basic Analysis Review
Published online by Cambridge University Press: 29 September 2022
Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- Symbols
- Part I Numerical Linear Algebra
- Part II Constructive Approximation Theory
- Part III Nonlinear Equations and Optimization
- Part IV Initial Value Problems for Ordinary Differential Equations
- Part V Boundary and Initial Boundary Value Problems
- Appendix A Linear Algebra Review
- Appendix B Basic Analysis Review
- Appendix C Banach Fixed Point Theorem
- Appendix D A (Petting) Zoo of Function Spaces
- References
- Index
Summary
This appendix collects a review of the calculus and analysis in one and several variables that the reader should be familiar with. Notions of convergence, continuity, differentiability and integrability are recalled here.
Keywords
Sequenceconvergenceorder of convergencecompactnessfunctioncontinuityHolder and Lipschitz continuityintermediate value theoremdifferentiabilityRolle’s theoremTaylor theoremHolder inequalityfundamental theorem of calculusintegration by partsconvexitypartial derivativeGreen’s indentitiesuniform convergence
- Type
- Chapter
- Information
- Classical Numerical AnalysisA Comprehensive Course, pp. 854 - 873Publisher: Cambridge University PressPrint publication year: 2022