Integral and measure : from rather simple to rather complex / (Record no. 207699)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 05015cam a2200697Ma 4500 |
| 001 - CONTROL NUMBER | |
| control field | ocn892046052 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20171026104637.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr |n||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 141003s2014 enk ob 001 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781119037514 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1119037514 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1322150052 |
| Qualifying information | (ebk) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781322150055 |
| Qualifying information | (ebk) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781119037385 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1119037387 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1848217692 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781848217690 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9781848217690 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | CHBIS |
| System control number | 010259839 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | CHVBK |
| System control number | 325940541 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | DEBBG |
| System control number | BV042990065 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | DEBBG |
| System control number | BV043397180 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | DEBSZ |
| System control number | 431774137 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)892046052 |
| Canceled/invalid control number | (OCoLC)892800065 |
| -- | (OCoLC)961535390 |
| -- | (OCoLC)962610842 |
| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 646260 |
| Source of stock number/acquisition | MIL |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | IDEBK |
| Language of cataloging | eng |
| Description conventions | pn |
| Transcribing agency | IDEBK |
| Modifying agency | DG1 |
| -- | E7B |
| -- | OCLCA |
| -- | RECBK |
| -- | CDX |
| -- | EBLCP |
| -- | N$T |
| -- | YDXCP |
| -- | OCLCQ |
| -- | VRC |
| -- | OCLCF |
| -- | DEBSZ |
| -- | COO |
| -- | OCLCO |
| -- | OCLCQ |
| -- | DEBBG |
| -- | OCLCQ |
| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | MAIN |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA312 |
| Item number | .M33 2014 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 005000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 034000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515/.42 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Mackevičius, Vigirdas. |
| 245 10 - TITLE STATEMENT | |
| Title | Integral and measure : from rather simple to rather complex / |
| Statement of responsibility, etc. | Vigirdas Mackevičius. |
| Medium | [electronic resource] |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | London : |
| Name of publisher, distributor, etc. | ISTE, Ltd ; |
| Place of publication, distribution, etc. | Hoboken : |
| Name of publisher, distributor, etc. | Wiley, |
| Date of publication, distribution, etc. | 2014. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource. |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Mathematics and Statistics Series |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references and index. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Cover page; Half-title page; Title page; Copyright page; Contents; Preface; Note for the Teacher or Who is better, Riemann or Lebesgue?; Notation; Part 1: Integration of One-Variable Functions; 1: Functions without Second-kind Discontinuities; P.1. Problems; 2: Indefinite Integral; P.2. Problems; 3: Definite Integral; 3.1. Introduction; P.3. Problems; 4: Applications of the Integral; 4.1. Area of a curvilinear trapezium; 4.2. A general scheme for applying the integrals; 4.3. Area of a surface of revolution; 4.4. Area of curvilinear sector; 4.5. Applications in mechanics; P.4. Problems. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 5: Other Definitions: Riemann and Stieltjes Integrals5.1. Introduction; P.5. Problems; 6: Improper Integrals; P.6. Problems; Part 2: Integration of Several-variable Functions; 7: Additional Properties of Step Functions; 7.1. The notion "almost everywhere"; P.7. Problems; 8: Lebesgue Integral; 8.1. Proof of the correctness of the definition of integral; 8.2. Proof of the Beppo Levi theorem; 8.3. Proof of the Fatou-Lebesgue theorem; P.8. Problems; 9: Fubini and Change-of-Variables Theorems; P.9. Problems; 10: Applications of Multiple Integrals; 10.1. Calculation of the area of a plane figure. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 10.2. Calculation of the volume of a solid10.3. Calculation of the area of a surface; 10.4. Calculation of the mass of a body; 10.5. The static moment and mass center of a body; 11: Parameter-dependent Integrals; 11.1. Introduction; 11.2. Improper PDIs; P.11. Problems; Part 3: Measure and Integration in a Measure Space; 12: Families of Sets; 12.1. Introduction; P.12. Problems; 13: Measure Spaces; P.13. Problems; 14: Extension of Measure; P.14. Problems; 15: Lebesgue-Stieltjes Measures on the Real Line and Distribution Functions; P.15 Problems. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 16: Measurable Mappings and Real Measurable FunctionsP. 16. Problems; 17: Convergence Almost Everywhere and Convergence in Measure; P.17. Problems; 18: Integral; P.18. Problems; 19: Product of Two Measure Spaces; P.19. Problems; Bibliography; Index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This book is devoted to integration, one of the two main operations in calculus. In Part 1, the definition of the integral of a one-variable function is different (not essentially, but rather methodically) from traditional definitions of Riemann or Lebesgue integrals. Such an approach allows us, on the one hand, to quickly develop the practical skills of integration as well as, on the other hand, in Part 2, to pass naturally to the more general Lebesgue integral. Based on the latter, in Part 2, the author develops a theory of integration for functions of several variables. In Part 3, within. |
| 588 0# - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Print version record. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Integrals, Generalized. |
| 650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Lebesgue integral. |
| 650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics. |
| 650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Measurement. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS |
| General subdivision | Calculus. |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS |
| General subdivision | Mathematical Analysis. |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Integrals, Generalized. |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst00975523 |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Mackevicius, Vigirdas. |
| Title | Integral and measure. |
| Place, publisher, and date of publication | London : Iste Ltd, 2014 |
| International Standard Book Number | 1848217692 |
| Record control number | (OCoLC)891671114 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Oregon State monographs. |
| Name of part/section of a work | Mathematics and statistics series. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://onlinelibrary.wiley.com/book/10.1002/9781119037514 |
| Public note | Wiley Online Library |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | |
| Koha item type | Books |
No items available.