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Real and complex analysis / (Record no. 2652)

MARC details
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/>
Holdings
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.
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