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930402s1993 nyua b 001 0 eng |
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|a 92044568
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|a 0824788990 (alk. paper)
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|a (ICU)BID16924546
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|a (OCoLC)27147125
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|a QA379
|b .B53 1993
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|a 515/.353
|2 20
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| 100 |
1 |
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|a Bick, T. A.
|q (Theodore A.),
|d 1930-
|0 http://id.loc.gov/authorities/names/n88673032
|1 http://viaf.org/viaf/113030029
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| 245 |
1 |
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|a Elementary boundary value problems /
|c T.A. Bick.
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| 260 |
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|a New York :
|b M. Dekker,
|c c1993.
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| 263 |
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|a 9302
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| 300 |
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|a viii, 248 p. :
|b ill. ;
|c 24 cm.
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| 336 |
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|a text
|b txt
|2 rdacontent
|0 http://id.loc.gov/vocabulary/contentTypes/txt
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| 337 |
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|a unmediated
|b n
|2 rdamedia
|0 http://id.loc.gov/vocabulary/mediaTypes/n
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| 338 |
|
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|a volume
|b nc
|2 rdacarrier
|0 http://id.loc.gov/vocabulary/carriers/nc
|
| 440 |
|
0 |
|a Monographs and textbooks in pure and applied mathematics
|v 173
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| 504 |
|
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|a Includes bibliographical references and index.
|
| 505 |
2 |
0 |
|g 1.
|t Boundary Value Problems As Models.
|g 1.2.
|t One-dimensional wave equation.
|g 1.3.
|t Two-dimensional wave equation (optional).
|g 1.4.
|t One-dimensional diffusion equation.
|g 1.5.
|t Three-dimensional diffusion equation (optional).
|g 1.6.
|t Laplace's equation.
|g 1.7.
|t Auxiliary conditions and classification.
|g 1.8.
|t Some additional models --
|g 2.
|t The Method of Characteristics.
|g 2.2.
|t General solutions - first-order equations.
|g 2.3.
|t Second-order equations - canonical forms.
|g 2.4.
|t D'Alembert's solution for the vibrating string --
|g 3.
|t Fourier Series.
|g 3.2.
|t The wave equation and Fourier sine series.
|g 3.3.
|t The diffusion equation and Fourier cosine series.
|g 3.4.
|t Full-range series.
|g 3.5.
|t Some remarks on convergence --
|g 4.
|t Linear Algebra and Sturm-Liouville Systems.
|g 4.2.
|t Some ideas from linear algebra.
|g 4.3.
|t Sturm-Liouville systems.
|g 4.4.
|t Eigenfunction expansions.
|g 4.5.
|t Bessel's equation and Bessel functions.
|g 4.6.
|t Legendre's equation and Legendre polynomials --
|g 5.
|t Fourier Transforms.
|g 5.2.
|t The Fourier transform.
|g 5.3.
|t Solving BVPs with the Fourier transform.
|g 5.4.
|t The Laplace and Hankel transforms.
|t Appendix I A Fourier Series Theorem --
|t Appendix II A Fourier Integral Theorem --
|t Appendix III Proof of Theorems 3.5.2 and 3.5.3 --
|t Appendix IV Uniqueness Theorem for Second-Order Linear ODE --
|t Appendix V On the Zeros of the Bessel Functions.
|
| 650 |
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|a Boundary value problems
|0 http://id.loc.gov/authorities/subjects/sh85016102
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| 650 |
|
7 |
|a Boundary value problems.
|2 fast
|0 http://id.worldcat.org/fast/fst00837122
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|a ICU
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|t Library of Congress classification
|a QA379.B530 1993
|l Eck
|c Eck-Eck
|i 2866686
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| 927 |
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|t Library of Congress classification
|a QA379.B530 1993
|l Eck
|c Eck-Eck
|b 37168504
|i 2823415
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