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Real analysis /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Real analysis // H.L. Royden, P.M. Fitzpatrick.
作者:	Royden, H. L.
其他作者:	Royden, H. L.
出版者:	Boston :Prentice Hall, : c2010.,
面頁冊數:	xii, 505 p. ;24 cm.
附註:	Rev. ed. of: Real analysis / H.L. Royden. 3rd ed. 1988.
內容註:	I. Lebesgue integration for functions of a single real variable. Preliminaries on sets, mappings, and relations. 1. The real numbers: sets, sequences and functions -- 2. Lebesgue measure -- 3. Lebesgue measurable functions -- 4. Lebesgue integration -- 5. Lebesgue integration: further topics -- 6. Differentiation and integration -- 7. The Lp spaces: completeness and approximation -- 8. The Lp spaces: duality and weak convergence -- II. Abstract spaces: metric, topological, Banack and Hilbert spaces. 9. Metric spaces: general properties -- 10. Metric spaces: three fundamental theorems -- 11. Topological spaces: general properties -- 12. Topological spaces: three fundamental theorems -- 13. Continuous linear operators between Banach spaces -- 14. Duality for normed linear spaces -- 15. Compactness regained: the weak topology -- 16. Continuous linear operators on Hilbert spaces -- III. Measure and integration: general theory. 17. General measure spaces: their properties and construction -- 18. Integration over general measure spaces -- 19. General Lp spaces: completeness, duality and weak convergence -- 20. The construction of particular measures -- 21. Measure and topology -- 22. Invariant measures.
標題:	Functions of real variables. -
ISBN:	9780131437470 (hbk.) :

Real analysis /
Royden, H. L.

Real analysis /H.L. Royden, P.M. Fitzpatrick. - 4th ed. - Boston :Prentice Hall,c2010. - xii, 505 p. ;24 cm.

Rev. ed. of: Real analysis / H.L. Royden. 3rd ed. 1988.

Includes bibliographical references (p. 495-496) and index.

I. Lebesgue integration for functions of a single real variable. Preliminaries on sets, mappings, and relations. 1. The real numbers: sets, sequences and functions -- 2. Lebesgue measure -- 3. Lebesgue measurable functions -- 4. Lebesgue integration -- 5. Lebesgue integration: further topics -- 6. Differentiation and integration -- 7. The Lp spaces: completeness and approximation -- 8. The Lp spaces: duality and weak convergence -- II. Abstract spaces: metric, topological, Banack and Hilbert spaces. 9. Metric spaces: general properties -- 10. Metric spaces: three fundamental theorems -- 11. Topological spaces: general properties -- 12. Topological spaces: three fundamental theorems -- 13. Continuous linear operators between Banach spaces -- 14. Duality for normed linear spaces -- 15. Compactness regained: the weak topology -- 16. Continuous linear operators on Hilbert spaces -- III. Measure and integration: general theory. 17. General measure spaces: their properties and construction -- 18. Integration over general measure spaces -- 19. General Lp spaces: completeness, duality and weak convergence -- 20. The construction of particular measures -- 21. Measure and topology -- 22. Invariant measures.

ISBN: 9780131437470 (hbk.) :US140.00

LCCN: 2009048692Subjects--Topical Terms:

519429
Functions of real variables.

LC Class. No.: QA331.5 / .R6 2010

Real analysis /
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245 1 0 $a Real analysis / $c H.L. Royden, P.M. Fitzpatrick.
250 $a 4th ed.
260 # $a Boston : $b Prentice Hall, $c c2010.
300 $a xii, 505 p. ; $c 24 cm.
500 $a Rev. ed. of: Real analysis / H.L. Royden. 3rd ed. 1988.
504 $a Includes bibliographical references (p. 495-496) and index.
505 0 # $a I. Lebesgue integration for functions of a single real variable. Preliminaries on sets, mappings, and relations. 1. The real numbers: sets, sequences and functions -- 2. Lebesgue measure -- 3. Lebesgue measurable functions -- 4. Lebesgue integration -- 5. Lebesgue integration: further topics -- 6. Differentiation and integration -- 7. The Lp spaces: completeness and approximation -- 8. The Lp spaces: duality and weak convergence -- II. Abstract spaces: metric, topological, Banack and Hilbert spaces. 9. Metric spaces: general properties -- 10. Metric spaces: three fundamental theorems -- 11. Topological spaces: general properties -- 12. Topological spaces: three fundamental theorems -- 13. Continuous linear operators between Banach spaces -- 14. Duality for normed linear spaces -- 15. Compactness regained: the weak topology -- 16. Continuous linear operators on Hilbert spaces -- III. Measure and integration: general theory. 17. General measure spaces: their properties and construction -- 18. Integration over general measure spaces -- 19. General Lp spaces: completeness, duality and weak convergence -- 20. The construction of particular measures -- 21. Measure and topology -- 22. Invariant measures.
650 # 0 $a Functions of real variables. $3 519429
650 # 0 $a Functional analysis. $3 531838
650 # 0 $a Measure theory. $3 516951
700 1 # $a Royden, H. L. $3 519428
700 1 # $a Fitzpatrick, Patrick, $d 1946-. $3 1346755