Real and complex analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boston,Mass. [u.a.]
McGraw-Hill
1987
|
| Ausgabe: | 3. ed. |
| Schriftenreihe: | McGraw-Hill series in higher mathematics
|
| Schlagworte: | |
| Online-Zugang: | Table of contents Publisher description Inhaltsverzeichnis |
| Beschreibung: | XIV, 416 S. |
| ISBN: | 0070542341 |
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Datensatz im Suchindex
| _version_ | 1804123656682471424 |
|---|---|
| adam_text | REAL AND COMPLEX ANALYSIS THIRD EDITION WALTER RUDIN PROFESSOR OF
MATHEMATICS UNIVERSITY OF WISCONSIN, MADISON WCB MCGRAW-HILL BOSTON,
MASSACHUSETTS BURR RIDGE, ILLINOIS DUBUQUE, IOWA MADISON, WISCONSIN NEW
YORK, NEW YORK SAN FRANCISCO, CALIFORNIA ST. LOUIS, MISSOURI CONTENTS
PREFACE PROLOGUE: THE EXPONENTIAL FUNCTION CHAPTER 1 ABSTRACT
INTEGRATION SET-THEORETIC NOTATIONS AND TERMINOLOGY THE CONCEPT OF
MEASURABILITY SIMPLE FUNCTIONS ELEMENTARY PROPERTIES OF MEASURES
ARITHMETIC IN [0, OO] INTEGRATION OF POSITIVE FUNCTIONS INTEGRATION OF
COMPLEX FUNCTIONS THE ROLE PLAYED BY SETS OF MEASURE ZERO EXERCISES XLLL
6 8 15 16 18 19 24 27 31 CHAPTER 2 POSITIVE BOREL MEASURES VECTOR SPACES
TOPOLOGICAL PRELIMINARIES THE RIESZ REPRESENTATION THEOREM REGULARITY
PROPERTIES OF BOREL MEASURES LEBESGUE MEASURE CONTINUITY PROPERTIES OF
MEASURABLE FUNCTIONS EXERCISES CHAPTER 3 //-SPACES CONVEX FUNCTIONS AND
INEQUALITIES THE L P -SPACES APPROXIMATION BY CONTINUOUS FUNCTIONS
EXERCISES 33 33 35 40 47 49 55 57 61 61 65 69 71 VLLL CONTENTS CHAPTER 4
ELEMENTARY HILBERT SPACE THEORY INNER PRODUCTS AND LINEAR FUNCTIONALS
ORTHONORMAL SETS TRIGONOMETRIC SERIES EXERCISES 76 76 82 88 92 CHAPTER 5
EXAMPLES OF BANACH SPACE TECHNIQUES BANACH SPACES CONSEQUENCES OF
BAIRE S THEOREM FOURIER SERIES OF CONTINUOUS FUNCTIONS FOURIER
COEFFICIENTS OF L 1 -FUNCTIONS THE HAHN-BANACH THEOREM AN ABSTRACT
APPROACH TO THE POISSON INTEGRAL EXERCISES 95 95 97 100 103 104 108 112
CHAPTER 6 COMPLEX MEASURES TOTAL VARIATION ABSOLUTE CONTINUITY
CONSEQUENCES OF THE RADON-NIKODYM THEOREM BOUNDED LINEAR FUNCTIONALS ON
L P THE RIESZ REPRESENTATION THEOREM EXERCISES 116 116 120 124 126 129
132 CHAPTER 7 DIFFERENTIATION DERIVATIVES OF MEASURES THE FUNDAMENTAL
THEOREM OF CALCULUS DIFFERENTIABLE TRANSFORMATIONS EXERCISES 135 135 144
150 156 CHAPTER 8 INTEGRATION ON PRODUCT SPACES MEASURABILITY ON
CARTESIAN PRODUCTS PRODUCT MEASURES THE FUBINI THEOREM COMPLETION OF
PRODUCT MEASURES CONVOLUTIONS DISTRIBUTION FUNCTIONS EXERCISES 160 160
163 164 167 170 172 174 CHAPTER 9 FOURIER TRANSFORMS FORMAL PROPERTIES
THE INVERSION THEOREM THE PLAIFCHEREL THEOREM THE BANACH ALGEBRA L 1
EXERCISES 178 178 180 185 190 193 CONTENTS IX CHAPTER 10 ELEMENTARY
PROPERTIES OF HOLOMORPHIC FUNCTIONS COMPLEX DIFFERENTIATION INTEGRATION
OVER PATHS THE LOCAL CAUCHY THEOREM THE POWER SERIES REPRESENTATION THE
OPEN MAPPING THEOREM THE GLOBAL CAUCHY THEOREM THE CALCULUS OF RESIDUES
EXERCISES 196 196 200 204 208 214 217 224 227 CHAPTER 11 HARMONIC
FUNCTIONS THE CAUCHY-RIEMANN EQUATIONS THE POISSON INTEGRAL THE MEAN
VALUE PROPERTY BOUNDARY BEHAVIOR OF POISSON INTEGRALS REPRESENTATION
THEOREMS EXERCISES 231 231 233 237 239 245 249 CHAPTER 12 THE MAXIMUM
MODULUS PRINCIPLE INTRODUCTION THE SCHWARZ LEMMA THE PHRAGMEN-LINDELOF
METHOD AN INTERPOLATION THEOREM A CONVERSE OF THE MAXIMUM MODULUS
THEOREM EXERCISES 253 253 254 256 260 262 264 CHAPTER 13 APPROXIMATION
BY RATIONAL FUNCTIONS PREPARATION RUNGE S THEOREM THE MITTAG-LEFFLER
THEOREM SIMPLY CONNECTED REGIONS EXERCISES 266 266 270 273 274 276
CHAPTER 14 CONFORMAL MAPPING PRESERVATION OF ANGLES LINEAR FRACTIONAL
TRANSFORMATIONS NORMAL FAMILIES THE RIEMANN MAPPING THEOREM THE CLASS &
CONTINUITY AT THE BOUNDARY CONFORMAL MAPPING OF AN ANNULUS EXERCISES 278
278 279 281 282 285 289 291 293 X CONTENTS CHAPTER 15 ZEROS OF
HOLOMORPHIC FUNCTIONS 298 CHAPTER 16 CHAPTER 17 CHAPTER 19 CHAPTER 20
INFINITE PRODUCTS THE WEIERSTRASS FACTORIZATION THEOREM AN INTERPOLATION
PROBLEM JENSEN S FORMULA BLASCHKE PRODUCTS THE MIINTZ-SZASZ THEOREM
EXERCISES ANALYTIC CONTINUATION REGULAR POINTS AND SINGULAR POINTS
CONTINUATION ALONG CURVES THE MONODROMY THEOREM CONSTRUCTION OF A
MODULAR FUNCTION THE PICARD THEOREM EXERCISES /F-SPACES SUBHARMONIC
FUNCTIONS THE SPACES H P AND N THE THEOREM OF F. AND M. RIESZ
FACTORIZATION THEOREMS THE SHIFT OPERATOR CONJUGATE FUNCTIONS EXERCISES
ELEMENTARY THEORY OF BANACH ALGEBRAS INTRODUCTION THE INVERTIBLE
ELEMENTS IDEALS AND HOMOMORPHISMS APPLICATIONS EXERCISES HOLOMORPHIC
FOURIER TRANSFORMS INTRODUCTION TWO THEOREMS OF PALEY AND WIENER
QUASI-ANALYTIC CLASSES THE DENJOY-CARLEMAN THEOREM EXERCISES UNIFORM
APPROXIMATION BY POLYNOMIALS INTRODUCTION SOME LEMMAS MERGELYAN S
THEOREM EXERCISES 298 301 304 307 310 312 315 319 319 323 326 328 331
332 335 335 337 341 342 346 350 352 356 356 357 362 365 369 371 371 372
377 380 383 386 386 387 390 394 CONTENTS XI APPENDIX: HAUSDORFT S
MAXIMALITY THEOREM 395 NOTES AND COMMENTS 397 BIBLIOGRAPHY 405 LIST OF
SPECIAL SYMBOLS 407 INDEX 409
|
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| author | Rudin, Walter 1921-2010 |
| author_GND | (DE-588)119445670 |
| author_facet | Rudin, Walter 1921-2010 |
| author_role | aut |
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| author_variant | w r wr |
| building | Verbundindex |
| bvnumber | BV009215176 |
| callnumber-first | Q - Science |
| callnumber-label | QA300 |
| callnumber-raw | QA300.R82 1987 |
| callnumber-search | QA300.R82 1987 |
| callnumber-sort | QA 3300 R82 41987 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 400 |
| ctrlnum | (OCoLC)13093736 (DE-599)BVBBV009215176 |
| dewey-full | 51519 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 19 515 |
| dewey-search | 515 19 515 |
| dewey-sort | 3515 219 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 3. ed. |
| format | Book |
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| spelling | Rudin, Walter 1921-2010 Verfasser (DE-588)119445670 aut Real and complex analysis Walter Rudin 3. ed. Boston,Mass. [u.a.] McGraw-Hill 1987 XIV, 416 S. txt rdacontent n rdamedia nc rdacarrier McGraw-Hill series in higher mathematics Analyse (wiskunde) gtt Analyse mathématique Analyse mathématique ram Mathematical analysis Analysis (DE-588)4001865-9 gnd rswk-swf Funktionentheorie (DE-588)4018935-1 gnd rswk-swf Reelle Analysis (DE-588)4627581-2 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Funktionentheorie (DE-588)4018935-1 s DE-604 Analysis (DE-588)4001865-9 s 2\p DE-604 Reelle Analysis (DE-588)4627581-2 s 3\p DE-604 http://www.loc.gov/catdir/toc/mh031/86000007.html Table of contents http://www.loc.gov/catdir/description/mh022/86000007.html Publisher description HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006125623&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Rudin, Walter 1921-2010 Real and complex analysis Analyse (wiskunde) gtt Analyse mathématique Analyse mathématique ram Mathematical analysis Analysis (DE-588)4001865-9 gnd Funktionentheorie (DE-588)4018935-1 gnd Reelle Analysis (DE-588)4627581-2 gnd |
| subject_GND | (DE-588)4001865-9 (DE-588)4018935-1 (DE-588)4627581-2 (DE-588)4123623-3 |
| title | Real and complex analysis |
| title_auth | Real and complex analysis |
| title_exact_search | Real and complex analysis |
| title_full | Real and complex analysis Walter Rudin |
| title_fullStr | Real and complex analysis Walter Rudin |
| title_full_unstemmed | Real and complex analysis Walter Rudin |
| title_short | Real and complex analysis |
| title_sort | real and complex analysis |
| topic | Analyse (wiskunde) gtt Analyse mathématique Analyse mathématique ram Mathematical analysis Analysis (DE-588)4001865-9 gnd Funktionentheorie (DE-588)4018935-1 gnd Reelle Analysis (DE-588)4627581-2 gnd |
| topic_facet | Analyse (wiskunde) Analyse mathématique Mathematical analysis Analysis Funktionentheorie Reelle Analysis Lehrbuch |
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