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Mathematical techniques and physical applications

Mathematical Techniques and Physical Applications.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Killingbeck, J. P. (John P.), Cole, G. H. A. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, Academic Press, 1971.
Colección:Pure and applied physics ; v. 35.
Temas:
Acceso en línea:Texto completo
Texto completo

MARC

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245 1 0 |a Mathematical techniques and physical applications  |c [by] J. Killingbeck [and] G.H.A. Cole. 
260 |a New York,  |b Academic Press,  |c 1971. 
300 |a 1 online resource (xiv, 715 pages)  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Pure and applied physics,  |v v. 35 
504 |a Includes bibliographical references. 
506 |3 Use copy  |f Restrictions unspecified  |2 star  |5 MiAaHDL 
533 |a Electronic reproduction.  |b [Place of publication not identified] :  |c HathiTrust Digital Library,  |d 2010.  |5 MiAaHDL 
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588 0 |a Print version record. 
505 0 |a Front Cover; Mathematical Techniques and Physical Applications; Copyright Page; Contents; Preface; Comment on Notation; Chapter 1. Vector Analysis; 1.1. Scalars, Tensors, and Vectors; 1.2. Scalar, Vector, and Tensor Fields; 1.3. Vector Components, Unit Vectors, Right-Handed Cartesian Axes; 1.4. Vector Sums and Products; 1.5. Derivatives of a Vector or Vector Field; 1.6. Integral Theorems; 1.7. Dyadic Formalism; 1.8. Orthogonal Curvilinear Coordinates; 1.9. Uses of Vector Analysis; 1.10. Further Examples Involving the Vector Product; Chapter 2. Matrices 
505 8 |a 2.1. Simultaneous Linear Equations and Matrix Algebra2.2. Some Common Types of Matrix; 2.3. Inverse of a Matrix, Determinant; 2.4. Theorems Concerning Matrix Products; 2.5. Eigenvectors and Eigenvalues of a Matrix; 2.6. Matrices as Representations of Linear Operators; 2.7. Application of Matrix Theory to Physical Problems; Chapter 3. Tensor Analysis; 3.1. Cartesian Tensors; 3.2. Tensors in Nonorthogonal Frames; 3.3. General Tensors; 3.4. The Christoffel Symbols; 3.5. Length of a Curve, Geodesics; 3.6. Covariant Derivatives; 3.7. The Determinant IgI, Tensor Densities 
505 8 |a 3.8. Tensor Form of Gradient, Divergence, and Curl3.9. Curvature Tensor; 3.10. Theory of Elasticity; 3.11. Lorentz Covariance of Maxwell's Equations; 3.12. A Summary of Tensor Theory; Chapter 4. Sequences and Series; 4.1. Sequences, Cauchy Sequences, Convergence; 4.2. Series, Absolute and Conditional Convergence; 4.3. Convergence Tests for Series; 4.4. Multiplication and Addition of Series; 4.5. Sequences and Series of Functions, Uniform Convergence; 4.6. Radius of Convergence of a Series, Term-by-Term Differentiation and Integration; 4.7. Dirichlet Conditions for Fourier Series 
505 8 |a 4.8. Exponential Function4.9. Results Involving Integrals; 4.10. Series in Physical Theory; 4.11. Convergence of Iterative Processes; 4.12. Perturbation Theory; 4.13. Partial Summation Procedures; Chapter 5. Complex Variables and Analytic Functions; 5.1. Complex Numbers and Polynomial Equations; 5.2. Argand Diagram; 5.3. de Moivre's Theorem; 5.4. Complex Numbers in Physical Problems; 5.5. Differentiation, Analytic Functions; 5.6. Taylor Series for the Complex Variable; 5.7. Analytic Continuation; 5.8. Singularities, Poles, and Residues; 5.9. Quaternions 
505 8 |a 5.10. Principal Part of an Integral, Kramers-Kronig Relations5.11. Fourier Transforms; 5.12. Truncated Fourier Series for Real Variables; 5.13. Laplace Transform; 5.14. Laplace's Equation; 5.15. Use of Closed Contour Integrals in Physics; Chapter 6. Variational Calculus; 6.1. Stationary and Extreme Values of Ordinary Functions; 6.2. Functionals and Functional Derivatives; 6.3. Variation with Auxiliary Conditions, Lagrange Multipliers; 6.4. Variational Principles in Mechanics; 6.5. Schr�odinger Equation and Related Variational Principles; 6.6. Continuous Fields, Wave Equation 
520 |a Mathematical Techniques and Physical Applications. 
546 |a English. 
650 0 |a Mathematical physics. 
650 6 |a Physique math�ematique.  |0 (CaQQLa)201-0008394 
650 7 |a MATHEMATICS  |x Essays.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Pre-Calculus.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Reference.  |2 bisacsh 
650 7 |a Mathematical physics  |2 fast  |0 (OCoLC)fst01012104 
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650 7 |a Mathematische Physik  |2 gnd  |0 (DE-588)4037952-8 
650 7 |a Physik  |2 gnd  |0 (DE-588)4045956-1 
650 7 |a Physiker  |2 gnd  |0 (DE-588)4045968-8 
650 7 |a F�isica matem�atica.  |2 lemb 
650 7 |a Physique math�ematique.  |2 ram 
700 1 |a Cole, G. H. A.,  |e author. 
776 0 8 |i Print version:  |a Killingbeck, J.P. (John P.).  |t Mathematical techniques and physical applications.  |d New York, Academic Press, 1971  |w (DLC) 70163766  |w (OCoLC)163001 
830 0 |a Pure and applied physics ;  |v v. 35. 
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856 4 0 |u https://sciencedirect.uam.elogim.com/science/bookseries/00798193  |z Texto completo