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Record Nr. |
UNINA9910458660803321 |
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Autore |
González-Velasco Enrique A |
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Titolo |
Fourier analysis and boundary value problems [[electronic resource] /] / by Enrique A. González-Velasco |
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Pubbl/distr/stampa |
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San Diego, : Academic Pres, c1995 |
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ISBN |
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1-281-03822-9 |
9786611038229 |
0-08-053193-8 |
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Descrizione fisica |
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1 online resource (565 p.) |
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Disciplina |
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Soggetti |
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Fourier analysis |
Boundary value problems - Numerical solutions |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (p. 539-542) and index. |
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Nota di contenuto |
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Front Cover; Fourier Analysis and Boundary Value Problems; Copyright Page; Table of Contents; Preface; CHAPTER 1. A HEATED DISCUSSION; 1.1 Historical Prologue; 1.2 The Heat Equation; 1.3 Boundary Value Problems; 1.4 The Method of Separation of Variables; 1.5 Linearity and Superposition of Solutions; 1.6 Historical Epilogue; Exercises; CHAPTER 2. FOURIER SERIES; 2.1 Introduction; 2.2 Fourier Series; 2.3 The Riemann-Lebesgue Theorem; 2.4 The Convergence of Fourier Series; 2.5 Fourier Series on Arbitrary Intervals; 2.6 The Gibbs Phenomenon; 2.7 Fejér Sums; 2.8 Integration of Fourier Series |
2.9 Historical EpilogueExercises; CHAPTER 3. RETURN TO THE HEATED BAR; 3.1 Existence of a Solution; 3.2 Uniqueness and Stability of the Solution; 3.3 Nonzero Temperature at the Endpoints; 3.4 Bar Insulated at the Endpoints; 3.5 Mixed Endpoint Conditions; 3.6 Heat Convection at One Endpoint; 3.7 Time-Independent Problems; 3.8 The Steady-State Solution; 3.9 The Transient Solution; 3.10 The Complete Solution; 3.11 Time-Dependent Problems; Exercises; CHAPTER 4. GENERALIZED FOURIER SERIES; 4.1 Sturm-Liouville Problems; 4.2 The Eigenvalues and Eigenfunctions; 4.3 The Existence of the Eigenvalues |
4.4 Generalized Fourier Series4.5 Approximations; 4.6 Historical |
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