Sturm-Liouville problems : (Record no. 74655)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 05896cam a2200673Ii 4500 |
| 001 - CONTROL NUMBER | |
| control field | 9780429437878 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220531132614.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 181101s2019 flua ob 001 0 eng d |
| 040 ## - Cataloging Source | |
| -- | OCoLC-P |
| -- | eng |
| -- | rda |
| -- | pn |
| -- | OCoLC-P |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780429437878 |
| -- | electronic book |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0429437870 |
| -- | electronic book |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780429795343 |
| -- | electronic book |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0429795343 |
| -- | electronic book |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780429795350 |
| -- | electronic book |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0429795351 |
| -- | electronic book |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780429795336 |
| -- | (electronic bk. : Mobipocket) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0429795335 |
| -- | (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 - | |
| -- | MAT |
| -- | 005000 |
| -- | bisacsh |
| 072 #7 - | |
| -- | MAT |
| -- | 034000 |
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| -- | MAT |
| -- | 003000 |
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| 072 #7 - | |
| -- | MAT |
| -- | 007000 |
| -- | bisacsh |
| 072 #7 - | |
| -- | MAT |
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| -- | bisacsh |
| 072 #7 - | |
| -- | PB |
| -- | bicssc |
| 082 04 - | |
| -- | 515/.352 |
| -- | 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 - | |
| -- | Boca Raton, FL : |
| -- | CRC Press, Taylor & Francis Group, |
| -- | [2019] |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xiii, 406 pages). |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 490 1# - | |
| -- | Monographs and research notes in mathematics |
| 505 0# - | |
| -- | 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# - | |
| -- | 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# - | |
| -- | 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# - | |
| -- | 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# - | |
| -- | 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 ## - | |
| -- | 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 ## - | |
| -- | OCLC-licensed vendor bibliographic record. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Sturm-Liouville equation. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Differential equations. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Eigenvalues. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS / Calculus |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS / Mathematical Analysis |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS / Applied |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS / Differential Equations |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as 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 - | |
| -- | Taylor & Francis |
| -- | https://www.taylorfrancis.com/books/9780429437878 |
| 856 42 - | |
| -- | OCLC metadata license agreement |
| -- | http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf |
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