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

By: Material type: TextPublication details: Providence, R.I. : American Mathematical Society, c2005.Description: x, 197 p. : ill. ; 27 cmISBN:
  • 9780821891858
Subject(s): DDC classification:
  • 515 22
LOC classification:
  • QA315 .M58 2005
Online resources:
Contents:
Ch. 1. Numbers and logic -- Ch. 2. Infinity -- Ch. 3. Sequences -- Ch. 4. Subsequences -- Ch. 5. Functions and limits -- Ch. 6. Composition of functions -- Ch. 7. Open and closed sets -- Ch. 8. Compactness -- Ch. 9. Existence of maximum -- Ch. 10. Uniform continuity -- Ch. 11. Connected sets and the intermediate value theorem -- Ch. 12. The cantor set and fractals -- Ch. 13. The derivative and the mean value theorem -- Ch. 14. The Riemann integral -- Ch. 15. The fundamental theorem of calculus -- Ch. 16. Sequences of functions -- Ch. 17. The Lebesgue theory -- Ch. 18. Infinite series [Sigma][subscript n=1][superscript [infinity]] a[subscript n] -- Ch. 19. Absolute convergence -- Ch. 20. Power series -- Ch. 21. The exponential function -- Ch. 22. Volumes of n-balls and the gamma function -- Ch. 23. Fourier series -- Ch. 24. Strings and springs -- Ch. 25. Convergence of Fourier series -- Ch. 26. Euler's equation -- Ch. 27. First integrals and the brachistochrone problem -- Ch. 28. Geodesics and great circles -- Ch. 29. Variational notation, higher order equations -- Ch. 30. Harmonic functions -- Ch. 31. Minimal surfaces -- Ch. 32. Hamilton's action and Lagrange's equations -- Ch. 33. Optimal economic strategies -- Ch. 34. Utility of consumption -- Ch. 35. Riemannian geometry -- Ch. 36. NonEuclidean geometry -- Ch. 37. General relativity.
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Holdings
Cover image Item type Current library Home library Collection Shelving location Call number Materials specified Vol info URL Copy number Status Notes Date due Barcode Item holds Item hold queue priority Course reserves
General Books CUTN Central Library Generalia 515 (Browse shelf(Opens below)) 1 Available 11294
General Books CUTN Central Library Generalia 515 (Browse shelf(Opens below)) 2 Available 11295

Includes index.

Includes bibliographical references and index.

Ch. 1. Numbers and logic -- Ch. 2. Infinity -- Ch. 3. Sequences -- Ch. 4. Subsequences -- Ch. 5. Functions and limits -- Ch. 6. Composition of functions -- Ch. 7. Open and closed sets -- Ch. 8. Compactness -- Ch. 9. Existence of maximum -- Ch. 10. Uniform continuity -- Ch. 11. Connected sets and the intermediate value theorem -- Ch. 12. The cantor set and fractals -- Ch. 13. The derivative and the mean value theorem -- Ch. 14. The Riemann integral -- Ch. 15. The fundamental theorem of calculus -- Ch. 16. Sequences of functions -- Ch. 17. The Lebesgue theory -- Ch. 18. Infinite series [Sigma][subscript n=1][superscript [infinity]] a[subscript n] -- Ch. 19. Absolute convergence -- Ch. 20. Power series -- Ch. 21. The exponential function -- Ch. 22. Volumes of n-balls and the gamma function -- Ch. 23. Fourier series -- Ch. 24. Strings and springs -- Ch. 25. Convergence of Fourier series -- Ch. 26. Euler's equation -- Ch. 27. First integrals and the brachistochrone problem -- Ch. 28. Geodesics and great circles -- Ch. 29. Variational notation, higher order equations -- Ch. 30. Harmonic functions -- Ch. 31. Minimal surfaces -- Ch. 32. Hamilton's action and Lagrange's equations -- Ch. 33. Optimal economic strategies -- Ch. 34. Utility of consumption -- Ch. 35. Riemannian geometry -- Ch. 36. NonEuclidean geometry -- Ch. 37. General relativity.

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