Sturm-Liouville problems : (Record no. 18620)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 05916cam a2200685Ii 4500 |
| 001 - CONTROL NUMBER | |
| control field | 9780429437878 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | FlBoTFG |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220724194527.0 |
| 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 cnu---unuuu |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 181101s2019 flua ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | OCoLC-P |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | OCoLC-P |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780429437878 |
| Qualifying information | electronic book |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0429437870 |
| Qualifying information | electronic book |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780429795343 |
| Qualifying information | electronic book |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0429795343 |
| Qualifying information | electronic book |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780429795350 |
| Qualifying information | electronic book |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0429795351 |
| Qualifying information | electronic book |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780429795336 |
| Qualifying information | (electronic bk. : Mobipocket) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0429795335 |
| Qualifying information | (electronic bk. : Mobipocket) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9781138345430 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 1138345431 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)1060524545 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC-P)1060524545 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA372 |
| Item number | .G84 2019 |
| 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 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 003000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 007000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 012000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PB |
| Source | bicssc |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515/.352 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Guenther, Ronald B., |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Sturm-Liouville problems : |
| Remainder of title | theory and numerical implementation / |
| Statement of responsibility, etc. | Ronald B. Guenther, John W. Lee (Department of Mathematics, Oregon State University, Corvallis). |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Boca Raton, FL : |
| Name of producer, publisher, distributor, manufacturer | CRC Press, Taylor & Francis Group, |
| Date of production, publication, distribution, manufacture, or copyright notice | [2019] |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xiii, 406 pages). |
| 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 | Monographs and research notes in mathematics |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Cover; Half Title; Title Page; Copyright Page; Contents; Preface; 1. Setting the Stage; 1.1 Euler Buckling; 1.2 Hanging Chain; 1.3 Separation of Variables; 1.4 Vibration Problems; 1.4.1 Vibrations of a String; 1.4.2 Vibrations of a Circular Membrane; 1.4.3 Spherically Symmetric Vibrations in a Ball; 1.5 Diffusion Problems; 1.5.1 Chemical Transport; 1.5.2 Heat Conduction in a Rod; 1.5.3 Heat Conduction in a Disk; 1.6 Steady State Regimes; 1.6.1 Heat Conduction in a Rectangular Plate; 1.6.2 Heat Conduction in a Circular Plate; 1.7 On Models; 1.8 Sturm-Liouville Boundary Value Problems |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1.9 Calculus of Variations1.10 Green's Functions; 1.11 The Path Ahead; 1.11.1 Thread I; 1.11.2 Thread II; 1.11.3 Finding Eigenvalues and Eigenfunctions; 1.12 Intrinsic Interest of Eigenvalues; 1.13 Real Versus Complex Solutions; 2. Preliminaries; 2.1 Euclidean Spaces; 2.1.1 Real Euclidean Spaces; 2.1.2 Complex Euclidean Spaces; 2.1.3 Elements of Convergence; 2.1.4 Upper Bounds and Sups; 2.1.5 Closed and Compact Sets; 2.2 Calculus and Analysis; 2.2.1 Continuity; 2.2.2 Differential Calculus; 2.2.3 Integral Calculus; 2.2.4 Sequences and Series of Functions; 2.3 Matrix and Linear Algebra |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 2.3.1 Determinants2.3.2 Systems of Linear Algebraic Equations; 2.3.3 Linear Dependence and Linear Independence; 2.3.4 Eigenvalues and Eigenvectors; 2.3.5 Self-Adjoint and Symmetric Matrices; 2.3.6 Principal Axis Theorem; 2.3.7 Matrices as Linear Transformations; 2.4 Interpolation and Approximation; 2.4.1 Tchebycheff Systems; 2.4.2 Total Positivity; 2.5 Linear Spaces and Function Spaces; 2.5.1 Linear Spaces; 2.5.2 Normed Linear Spaces; 2.5.3 Inner Product Spaces; 2.5.3.1 Gram-Schmidt Process; 2.6 Completeness and Completion; 2.7 Compact Sets in C[a, b]; 2.8 Contraction Mapping Theorem |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 2.9 Bisection and Newton-Raphson Methods2.9.1 Bisection Method; 2.9.2 Newton-Raphson Method; 2.10 Maximum Principle; 3. Integral Equations; 3.1 Integral Operators; 3.2 More General Domains; 3.3 Eigenvalues of Operators and Kernels; 3.4 Self-Adjoint Operators and Kernels; 3.4.1 Hilbert-Schmidt Theorem; 3.4.2 Mercer's Theorem; 3.5 Nonnegative Kernels; 3.5.1 Positive Kernels; 3.5.2 Kernels Positive on the Open Diagonal; 3.5.3 Summary of Results; 3.6 Kellogg Kernels and Total Positivity; 3.6.1 Compound Kernels; 3.6.2 Spectral Properties of Compound Kernels |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 3.6.3 Spectral Properties of Kellogg Kernels3.7 Singular Kellogg Kernels; 3.7.1 Compound Kernels; 3.7.2 Spectral Properties of Compound Kernels; 3.7.3 Spectral Properties of Kellogg Kernels; 4. Regular Sturm-Liouville Problems; 4.1 Sturm-Liouville Form; 4.2 Sturm-Liouville Differential Equations; 4.3 Initial Value Problems; 4.3.1 Basis of Solutions; 4.3.2 Variation of Parameters; 4.3.3 Continuous Dependence; 4.4 BVPs and EVPs -- Examples; 4.5 BVPs and EVPs -- Notation; 4.6 Green's Functions; 4.6.1 Separated Boundary Conditions; 4.6.2 Mixed Boundary Conditions; 4.7 Adjoint Operators and Problems |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | Sturm-Liouville problems arise naturally in solving technical problems in engineering, physics, and more recently in biology and the social sciences. These problems lead to eigenvalue problems for ordinary and partial differential equations. Sturm-Liouville Problems: Theory and Numerical Implementation addresses, in a unified way, the key issues that must be faced in science and engineering applications when separation of variables, variational methods, or other considerations lead to Sturm-Liouville eigenvalue problems and boundary value problems. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | OCLC-licensed vendor bibliographic record. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Sturm-Liouville equation. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Differential equations. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Eigenvalues. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | MATHEMATICS / Calculus |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | MATHEMATICS / Mathematical Analysis |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | MATHEMATICS / Applied |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | MATHEMATICS / Differential Equations |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | MATHEMATICS / Geometry / General |
| Source of heading or term | bisacsh |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Lee, John W., |
| Dates associated with a name | 1942- |
| Relator term | author. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | Read Online |
| Uniform Resource Identifier | <a href="https://www.taylorfrancis.com/books/9780429437878">https://www.taylorfrancis.com/books/9780429437878</a> |
| 856 42 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | OCLC metadata license agreement |
| Uniform Resource Identifier | <a href="http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf">http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Library of Congress Classification |
| Koha item type | eBook |
No items available.