Improper Riemann integrals / (Record no. 613935)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03445cam a2200337 i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 17887834 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20260513142931.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 130916t20142014flu b 001 0 eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER | |
| LC control number | 2013037630 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781032032054 (pbk.) |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | 17887834 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | DLC |
| Language of cataloging | eng |
| Transcribing agency | JKRC |
| Description conventions | rda |
| Modifying agency | DLC |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Edition number | 23 |
| Classification number | 515.43 |
| Item number | ROU.I |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Roussos, Ioannis Markos. |
| Relator term | author |
| 9 (RLIN) | 39590 |
| 245 10 - TITLE STATEMENT | |
| Title | Improper Riemann integrals / |
| Statement of responsibility, etc. | by Ioannis M. Roussos. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Boca Raton, [Florida] : |
| Name of publisher, distributor, etc. | CRC, Taylor & Francis Group, |
| Date of publication, distribution, etc. | 2014. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xiv, 675 p . ; |
| Dimensions | 23 cm |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | unmediated |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | volume |
| Source | rdacarrier |
| 365 ## - TRADE PRICE | |
| Price amount | 4995.00 |
| Currency code | Rupees |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references (pages 661-664) and index. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Machine generated contents note: 1.Improper Riemann Integrals -- 1.1.Definitions and Examples -- 1.1.1.Applications -- 1.2.Cauchy Principal Value -- 1.3.Some Criteria of Existence -- 2.Real Analysis Techniques -- 2.1.Calculus Techniques -- 2.1.1.Applications -- 2.2.Integrals Dependent on Parameters -- 2.3.Commuting Limits with Integrals and Derivatives -- 2.3.1.Commuting Limits and Integrals -- 2.3.2.Commuting Limits and Derivatives -- 2.4.Double Integral Technique -- 2.5.Frullani Integrals -- 2.6.The Real Gamma and Beta Functions -- 2.6.1.The Gamma Function -- 2.6.2.The Beta Function -- 2.6.3.Applications -- 2.7.A Brief Overview of Laplace Transform -- 2.7.1.Laplace Transform -- 2.7.2.Inverse Laplace Transform -- 2.7.3.Applications -- 3.Complex Analysis Techniques -- 3.1.Basics of Complex Variables -- 3.1.1.Basic Definitions and Operations -- 3.1.2.Representations and Roots of Complex Numbers -- 3.1.3.Square Roots without De Moivre -- 3.2.Power Series -- a Quick Review -- 3.3.Limits, Continuity and Derivatives -- 3.4.Line Integrals in the Complex Plane -- 3.5.Cauchy-Goursat Theorem and Consequences -- 3.5.1.Complex Preliminaries and Notation -- 3.5.2.Cauchy-Goursat Theorem -- 3.5.3.Complex Logarithm -- 3.5.4.Complex Power Functions -- 3.5.5.Properties of Complex Logarithms and Powers -- 3.5.6.Consequence -- 3.5.7.Cauchy Integral Formula -- 3.5.8.Appendix -- 3.6.Roots, Singularities, Residues -- 3.6.1.Definitions, Laurent Expansion and Examples -- 3.6.2.Five Ways to Evaluate Residues -- 3.7.Contour Integration and Integrals -- 3.7.1.Residue Theorem and Examples -- 3.7.2.Contour Integration and Improper Real Integrals -- 3.7.3.Infinite Isolated Singularities and Integrals -- 3.7.4.Infinite Isolated Singularities and Series -- 3.7.5.Fourier Type Integrals -- 3.7.6.Rules and Properties of the Fourier Transform -- 3.7.7.Applications -- 3.7.8.The Fourier Transform with Complex Argument -- 3.7.9.Improper Integrals and Logarithms -- 3.7.10.Application to Inverse Laplace Transform -- 3.8.Definite Integrals with Sines and Cosines -- 3.8.1.Rational Functions of Sines and Cosines -- 3.8.2.Other Techniques with Sines and Cosines -- 3.8.3.Appendix -- 4.List of Non-elementary Integrals and Sums in Text -- 4.1.List of Non-elementary Integrals -- 4.2.List of Non-elementary Sums. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Riemann integral. |
| 9 (RLIN) | 39591 |
| 653 ## - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Mathematics |
| 906 ## - LOCAL DATA ELEMENT F, LDF (RLIN) | |
| a | 7 |
| b | cbc |
| c | orignew |
| d | 1 |
| e | ecip |
| f | 20 |
| g | y-gencatlg |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | |
| Koha item type | Books |
| Edition | 23 |
| Suppress in OPAC | No |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Date acquired | Source of acquisition | Inventory number | Full call number | Barcode | Date last seen | Cost, replacement price | Price effective from | Koha item type | Public note |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Jayakar Knowledge Resource Centre | Jayakar Knowledge Resource Centre | 28/02/2026 | The Forward Books, 25271 / 05-01-2026. | 523730 | 515.43 ROU.I | 523730 | 28/02/2026 | 4995.00 | 28/02/2026 | Books | 4995.00 Rupees |