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[null,"1.","Record Nr.",null,"UNINA9911006640403321"]
[null,null,"Autore",null,"Dettman John W"]
[null,null,"Titolo",null,"Mathematical Methods in Physics and Engineering"]
[null,null,"Pubbl/distr/stampa",null,"Newburyport, : Dover Publications, 2013"]
[null,null,"ISBN",null,"1-5231-2509-8"]
[{"$nulls":4},"0-486-16936-7"]
[null,null,"Edizione",null,"[1st ed.]"]
[null,null,"Descrizione fisica",null,"1 online resource (722 p.)"]
[null,null,"Collana",null,"Dover Books on Physics"]
[null,null,"Disciplina",null,"510"]
[null,null,"Soggetti",null,"Engineering -- Mathematics"]
[{"$nulls":4},"Engineering mathematics"]
[{"$nulls":4},"Mathematics"]
[{"$nulls":4},"Engineering"]
[{"$nulls":4},"Physical Sciences & Mathematics"]
[{"$nulls":4},"Mathematics - General"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,"Nota di contenuto",null,"Title Page; Copyright Page; Preface; Table of Contents; Chapter 1. Linear Algebra; 1.1 Linear Equations. Summation Convention; 1.2 Matrices; 1.3 Determinants; 1.4 Systems of Linear Algebraic Equations. Rank of a Matrix; 1.5 Vector Spaces; 1.6 Scalar Product; 1.7 Orthonormal Basis. Linear Transformations; 1.8 Quadratic Forms. Hermitian Forms; 1.9 Systems of Ordinary Differential Equations. Vibration Problems; 1.10 Linear Programming; Chapter 2. Hilbert Spaces; 2.1 Infinite-dimensional Vector Spaces. Function Spaces; 2.2 Fourier Series; 2.3 Separable Hilbert Spaces; 2.4 The Projection Theorem"]
[{"$nulls":4},"2.5 Linear Functionals2.6 Weak Convergence; 2.7 Linear Operators; 2.8 Completely Continuous Operators; Chapter 3. Calculus of Variations; 3.1 Maxima and Minima of Functions. Lagrange Multipliers; 3.2 Maxima and Minima of Functionals. Euler's Equation; 3.3 Hamilton's Principle. Lagrange's Equations; 3.4 Theory of Small Vibrations; 3.5 The Vibrating String; 3.6 Boundary-value Problems of Mathematical Physics; 3.7 Eigenvalues and Eigenfunctions; 3.8 Eigenfunction Expansions; 3.9 Upper and Lower Bounds for Eigenvalues; Chapter 4. Boundary-value Problems. Separation of Variables"]
[{"$nulls":4},"4.1 Orthogonal Coordinate Systems. Separation of Variables4.2 Sturm-Liouville Problems; 4.3 Series Solutions of Ordinary Differential "]
[{"$nulls":4},"Equations; 4.4 Series Solutions of Boundary-value Problems; Chapter 5. Boundary-value Problems. Green's Functions; 5.1 Nonhomogeneous Boundary-value Problems; 5.2 One-dimensional Green's Functions; 5.3 Generalized Functions; 5.4 Green's Functions in Higher Dimensions; 5.5 Problems in Unbounded Regions; 5.6 A Problem in Diffraction Theory; Chapter 6. Integral Equations; 6.1 Integral-equation Formulation of Boundary-value Problems; 6.2 Hilbert-Schmidt Theory"]
[{"$nulls":4},"6.4 Integral Equations of the First KindChapter 7. Analytic Function Theory; 7.1 Introduction; 7.2 Analytic Functions; 7.3 Elementary Functions; 7.4 Complex Integration; 7.5 Integral Representations; 7.6 Sequences and Series; 7.7 Series Representations of Analytic Functions; 7.8 Contour Integration; 7.9 Conformal Mapping; 7.10 Potential Theory; Chapter 8. Integral Transform Methods; 8.1 Fourier Transforms; 8.2 Applications of Fourier Transforms. Ordinary Differential Equations; 8.3 Applications of Fourier Transforms. Partial Differential Equations"]
[{"$nulls":4},"8.4 Applications of Fourier Transforms. Integral Equations8.5 Laplace Transforms. Applications; 8.6 Other Transform Techniques; Index; A CATALOG OF SELECTED DOVER BOOKS IN ALL FIELDS OF INTEREST"]
[null,null,null,"Sommario/riassunto","Intended for college-level physics, engineering, or mathematics students, this volume offers an algebraically based approach to various topics in applied math. It is accessible to undergraduates with a good course in calculus which includes infinite series and uniform convergence. Exercises follow each chapter to test the student's grasp of the material; however, the author has also included exercises that extend the results to new situations and lay the groundwork for new concepts to be introduced later. A list of references for further reading will be found at the end of each chapter. For t"]