This book introduces both the theory and applications of elementary analysis, with emphasis on the genesis and resolution of a variety of applied problems. It is helpful for the motivated student whose mathematical background consists of only a two-or three-semester calculus sequence.
This book introduces both the theory and applications of elementary analysis, with emphasis on the genesis and resolution of a variety of applied problems. It is helpful for the motivated student whose mathematical background consists of only a two-or three-semester calculus sequence.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
1. Preliminaries 2. Introduction to Linear Algebra and Ordinary Differential Equations 3. Limits and Metric Spaces 4. Continuity, Compactness, and Connectedness 5. The Derivative: Theory and Elementary Applications 6. A First Look at Integration 7. Differentiation of Functions of Several Variables 8. Sequences And Series 9. Elementary Applications of Infinite Series 10. An Introduction to Fourier Analysis 11. An Introduction to Modern Integration Theory 12. An Introduction to Complex Integration 13. The Fourier and Laplace Transforms 14. A Sampling of Numerical Analysis
1. Preliminaries 2. Introduction to Linear Algebra and Ordinary Differential Equations 3. Limits and Metric Spaces 4. Continuity, Compactness, and Connectedness 5. The Derivative: Theory and Elementary Applications 6. A First Look at Integration 7. Differentiation of Functions of Several Variables 8. Sequences And Series 9. Elementary Applications of Infinite Series 10. An Introduction to Fourier Analysis 11. An Introduction to Modern Integration Theory 12. An Introduction to Complex Integration 13. The Fourier and Laplace Transforms 14. A Sampling of Numerical Analysis
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