Real and complex analysis / (Record no. 2652)
[ view plain ]
000 -LEADER | |
---|---|
fixed length control field | 05047cam a2200229 a 4500 |
001 - CONTROL NUMBER | |
control field | 3129 |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20200721104330.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 860109s1987 nyu b 001 0 eng |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9780071002769 |
040 ## - CATALOGING SOURCE | |
Transcribing agency | DLC |
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 515 |
Edition number | 19 |
Item number | R9161 |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Rudin, Walter, |
245 10 - TITLE STATEMENT | |
Title | Real and complex analysis / |
Statement of responsibility, etc | Walter Rudin. |
250 ## - EDITION STATEMENT | |
Edition statement | 3rd ed. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Place of publication, distribution, etc | New York : |
Name of publisher, distributor, etc | McGraw-Hill, |
Date of publication, distribution, etc | c1987. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | xiv, 416 p. |
Dimensions | 24 cm. |
500 ## - GENERAL NOTE | |
General note | Cover title: Real & complex analysis. |
500 ## - GENERAL NOTE | |
General note | Includes index. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Mathematical analysis. |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | Books |
505 0# - FORMATTED CONTENTS NOTE | |
Formatted contents note | 1. Preface<br/>2. Prologue: the exponential function<br/>3. Chapter 1: abstract integration<br/>4. Set-theoretic notations and terminology<br/>5. The concept of measurability<br/>6. Simple functions<br/>7. Elementary properties of measures<br/>8. Arithmetic in [0, infinity]<br/>9. Integration of positive functions<br/>10. Integration of complex functions<br/>11. The role played by sets of measure zero<br/>12. Exercises<br/>13. Chapter 2: positive borel measures<br/>14. Vector spaces<br/>15. Topological preliminaries<br/>16. The riesz representation theorem<br/>17. Regularity properties of borel measures<br/>18. Lebesgue measure<br/>19. Continuity properties of measurable functions<br/>20. Exercises<br/>21. Chapter 3: l^p-spaces<br/>22. Convex functions and inequalities<br/>23. The l^p-spaces<br/>24. Approximation by continuous functions<br/>25. Exercises<br/>26. Chapter 4: elementary hilbert space theory<br/>27. Inner products and linear functionals<br/>28. Orthonormal sets<br/>29. Trigonometric series<br/>30. Exercises<br/>31. Chapter 5: examples of banach space techniques<br/>32. Banach spaces<br/>33. Consequences of baire's theorem<br/>34. Fourier series of continuous functions<br/>35. Fourier coefficients of l¹-functions<br/>36. The hahn-banach theorem<br/>37. An abstract approach to the poisson integral<br/>38. Exercises<br/>39. Chapter 6: complex measures<br/>40. Total variation<br/>41. Absolute continuity<br/>42. Consequences of the radon-nikodym theorem<br/>43. Bounded linear functionals on l^p<br/>44. The riesz representation theorem<br/>45. Exercises<br/>46. Chapter 7: differentiation<br/>47. Derivatives of measures<br/>48. The fundamental theorem of calculus<br/>49. Differentiable transformations<br/>50. Exercises<br/>51. Chapter 8: integration on product spaces<br/>52. Measurability on cartesian products<br/>53. Product measures<br/>54. The fubini theorem<br/>55. Completion of product measures<br/>56. Convolutions<br/>57. Distribution functions<br/>58. Exercises<br/>59. Chapter 9: fourier transforms<br/>60. Formal properties<br/>61. The inversion theorem<br/>62. The plancherel theorem<br/>63. The banach algebra l¹<br/>64. Exercises<br/>65. Chapter 10: elementary properties of holomorphic functions<br/>66. Complex differentiation<br/>67. Integration over paths<br/>68. The local cauchy theorem<br/>69. The power series representation<br/>70. The open mapping theorem<br/>71. The global cauchy theorem<br/>72. The calculus of residues<br/>73. Exercises<br/>74. Chapter 11: harmonic functions<br/>75. The cauchy-riemann equations<br/>76. The poisson integral<br/>77. The mean value property<br/>78. Boundary behavior of poisson integrals<br/>79. Representation theorems<br/>80. Exercises<br/>81. Chapter 12: the maximum modulus principle<br/>82. Introduction<br/>83. The schwarz lemma<br/>84. The phragmen-lindelöf method<br/>85. An interpolation theorem<br/>86. A converse of the maximum modulus theorem<br/>87. Exercises<br/>88. Chapter 13: approximation by rational functions<br/>89. Preparation<br/>90. Runge's theorem<br/>91. The mittag-leffler theorem<br/>92. Simply connected regions<br/>93. Exercises<br/>94. Chapter 14: conformal mapping<br/>95. Preservation of angles<br/>96. Linear fractional transformations<br/>97. Normal families<br/>98. The riemann mapping theorem<br/>99. The class µ<br/>100. Continuity at the boundary<br/>101. Conformal mapping of an annulus<br/>102. Exercises<br/>103. Chapter 15: zeros of holomorphic functions<br/>104. Infinite products<br/>105. The weierstrass factorization theorem<br/>106. An interpolation problem<br/>107. Jensen's formula<br/>108. Blaschke products<br/>109. The müntz-szas theorem<br/>110. Exercises<br/>111. Chapter 16: analytic continuation<br/>112. Regular points and singular points<br/>113. Continuation along curves<br/>114. The monodromy theorem<br/>115. Construction of a modular function<br/>116. The picard theorem<br/>117. Exercises<br/>118. Chapter 17: h^p-spaces<br/>119. Subharmonic functions<br/>120. The spaces h^p and n<br/>121. The theorem of f. And m. Riesz<br/>122. Factorization theorems<br/>123. The shift operator<br/>124. Conjugate functions<br/>125. Exercises<br/>126. Chapter 18: elementary theory of banach algebras<br/>127. Introduction<br/>128. The invertible elements<br/>129. Ideals and homomorphisms<br/>130. Applications<br/>131. Exercises<br/>132. Chapter 19: holomorphic fourier transforms<br/>133. Introduction<br/>134. Two theorems of paley and wiener<br/>135. Quasi-analytic classes<br/>136. The denjoy-carleman theorem<br/>137. Exercises<br/>138. Chapter 20: uniform approximation by polynomials<br/>139. Introduction<br/>140. Some lemmas<br/>141. Mergelyan's theorem<br/>142. Exercises<br/>143. Appendix: hausdorff's maximality theorem<br/>144. Notes and comments<br/>145. Bibliography<br/>146. List of special symbols<br/>147. Index<br/> |
Withdrawn status | Damaged status | Not for loan | Home library | Current library | Date acquired | Full call number | Barcode | Date last seen | Price effective from | Koha item type | Source of acquisition |
---|---|---|---|---|---|---|---|---|---|---|---|
UE-Central Library | UE-Central Library | 16.07.2018 | 515 R9161 | T3129 | 16.07.2018 | 16.07.2018 | Books | ||||
UE-Central Library | UE-Central Library | 22.10.2018 | 515 R9161 | T1101 | 08.06.2021 | 22.10.2018 | Books | U.E. |