Real analysis and applications : including Fourier series and the calculus of variations /

Bibliographic Details
Main Author: Morgan, Frank
Format: Book
Language:English
Published: Providence, R.I. : American Mathematical Society, c2005.
Subjects:
Online Access:Table of contents

MARC

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100 1 |9 11866  |a Morgan, Frank. 
245 1 0 |a Real analysis and applications :  |b including Fourier series and the calculus of variations /  |c Frank Morgan. 
260 |a Providence, R.I. :  |b American Mathematical Society,  |c c2005. 
300 |a x, 197 p. :  |b il. ;  |c 27 cm. 
504 |a Incluye indice 
505 0 |t CH. 1. Numbers and logic 
505 0 |a Ch. 2. Infinity 
505 0 |t Ch. 3. Sequences 
505 0 |t Ch. 4. Subsequences 
505 0 |t Ch. 5. Functions and Limits 
505 0 |t Ch. 6. Composition of functions 
505 0 |t Ch. 7. Open and closed sets 
505 0 |t Ch. 8. Compactness 
505 0 |t Ch. 9. Existence of maximum 
505 0 |t Ch. 10. Uniform continuity 
505 0 |t Ch. 11. Connected sets and the intermediate value theorem 
505 0 |t Ch. 12. The cantor set and fractals 
505 0 |t Ch. 13. The derivate and the mean value theorem 
505 0 |t Ch. 14. The riemann integral 
505 0 |t Ch. 15. The fundamental theorem of calculus 
505 0 |t Ch. 16. Sequences of functions 
505 0 |t Ch. 17. The lebesgue theory 
505 0 |t Ch. 18. Infinite series 
505 0 |t Ch. 19. Absolute convergence 
505 0 |t Ch. 20. Power series 
505 0 |t Ch. 21. The exponential function 
505 0 |t Ch. 22. Volumes of n-balls and the gamma function 
505 0 |t Ch. 23. Fourier series 
505 0 |t Ch. 24. Strings and springs 
505 0 |t Ch. 25. Convergence of fourier series 
505 0 |t Ch. 26. Euler's equation 
505 0 |t Ch. 27. First integrals and the brachistochrone problem 
505 0 |t Ch. 28. Geodesics and great circles 
505 0 |t Ch. 29. Variational notation, higher order equations 
505 0 |t Ch. 30. Harmonic functions 
505 0 |t Ch. 31. Minimal surfaces 
505 0 |t Ch. 32. Hamilton's action and lagrange's equations 
505 0 |t Ch. 33. Optimal economic strategies 
505 0 |t Ch. 34. Utility of consumption 
505 0 |t Ch. 35. Riemannian geometry 
505 0 |t Ch. 36. NonEuclidean geometry 
505 0 |t Ch. 37. General relativity 
650 4 |a Real functions . 
650 4 |a Calculus of variations. 
650 4 |a Optimal control . 
650 4 |a Fourier analysis. 
650 4 |a Fourier series. 
650 4 |a Functions of real variables. 
650 4 |a Mathematical analysis. 
856 4 1 |3 Table of contents  |u http://www.loc.gov/catdir/toc/fy0604/2005054563.html 
900 |a AUTH  |b 4 
942 |c LIBRO  |2   
945 |a MCR  |d 2008-10-21 
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