Mathematical Methods in Physics and Engineering
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 e...
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| Main Author | |
|---|---|
| Format | Electronic eBook |
| Language | English |
| Published |
Newburyport :
Dover Publications,
2013.
|
| Series | Dover books on physics.
|
| Subjects | |
| Online Access | Full text |
| ISBN | 1523125098 9781523125098 0486169367 9780486169361 |
| Physical Description | 1 online resource (722 p.). |
Cover
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| 020 | |a 1523125098 | ||
| 020 | |a 9781523125098 | ||
| 020 | |a 0486169367 | ||
| 020 | |a 9780486169361 | ||
| 035 | |a (OCoLC)1136429828 | ||
| 041 | 7 | |a eng |2 iso639-3 | |
| 100 | 1 | |a Dettman, John W. | |
| 245 | 1 | 0 | |a Mathematical Methods in Physics and Engineering |h [electronic resource]. |
| 260 | |a Newburyport : |b Dover Publications, |c 2013. | ||
| 300 | |a 1 online resource (722 p.). | ||
| 336 | |a text |b txt | ||
| 337 | |a computer |b c | ||
| 338 | |a online resource |b cr | ||
| 490 | 1 | |a Dover Books on Physics | |
| 500 | |a Description based upon print version of record. | ||
| 505 | 0 | |a 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 4.1 Orthogonal Coordinate Systems. Separation of Variables4.2 Sturm-Liouville Problems; 4.3 Series Solutions of Ordinary Differential 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 506 | |a Plný text je dostupný pouze z IP adres počítačů Univerzity Tomáše Bati ve Zlíně nebo vzdáleným přístupem pro zaměstnance a studenty | ||
| 520 | |a 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. | ||
| 590 | |a Knovel |b Knovel (All titles) | ||
| 650 | 0 | |a Mathematics. | |
| 650 | 0 | |a Engineering. | |
| 655 | 7 | |a elektronické knihy |7 fd186907 |2 czenas | |
| 655 | 9 | |a electronic books |2 eczenas | |
| 776 | |z 0-486-65649-7 | ||
| 830 | 0 | |a Dover books on physics. | |
| 856 | 4 | 0 | |u https://proxy.k.utb.cz/login?url=https://app.knovel.com/hotlink/toc/id:kpMMPE0003/mathematical-methods-in?kpromoter=marc |y Full text |