| Description |
1 online resource (1122 p.) |
| Contents |
Cover -- Title Page -- Copyright Page -- Contents -- Foreword -- Preface and Philosophy -- About the Companion Website -- Chapter 1 Fundamental Particles, Fundamental Forces, and Mathematical Tools -- 1.0 Introduction -- 1.1 Fundamental Forces, Elementary Particles, Nuclei, and Atoms -- 1.2 Force One: Gravitation -- 1.3 Force Three: Weak Force -- 1.4 Force Four: Strong Force -- 1.5 Review of Mathematical Concepts -- 1.5.1 Mathematics and Statistics -- 1.5.2 Functions, Equations, and Functionals -- 1.5.3 Quadratic, Cubic, and Quartic Equations -- 1.5.4 Partial Derivatives -- 1.5.5 Jacobians |
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1.5.6 Line integral -- 1.5.7 The Gauss-Green-Stokes Theorem -- 1.5.8 Techniques of integration -- 1.5.9 Differential Forms -- 1.5.10 Infinite Series -- 1.5.11 Sum and Integral Killers: The Kronecker Delta and the Dirac Delta Function -- 1.5.12 Ordinary Differential Equations (ODEs) -- 1.5.13 The Lagrange Method of Undetermined Multipliers -- 1.5.14 Partial Differential Equations (PDEs) -- 1.6 Mechanics, Vectors, Tensors, and Determinants -- 1.6.1 Forces and Linear Momentum -- 1.6.2 Dimensional Analysis -- 1.6.3 Unit Systems -- 1.6.4 Vectors -- 1.6.5 Determinants -- 1.6.6 Matrices -- 1.6.7 Tensors |
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1.6.8 Similarity Transformations -- 1.6.9 Eigenvalue-Eigenvector Problem -- 1.6.10 Planar Rotations -- 1.6.11 Eulerian Rotations -- 1.6.12 Covariant and Contravariant Vectors and Tensors -- 1.6.13 Covariant -- 1.6.14 Moment of Inertia and Angular Momentum -- 1.6.15 Derivative Operators: "Ski Slopes," "Hernias," and "Curls" -- 1.6.16 Gradient -- 1.6.17 Divergence -- 1.6.18 Curl -- 1.6.19 Gauss-Green-Stokes Theorem -- 1.6.20 Combinatorics -- 1.7 Hooke's Law, One-dimensional Chain, Dispersion Relations, and Stress-Strain Tensors -- 1.7.1 Longitudinal Mechanical Waves Subjected to Hooke's Law |
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1.7.2 Longitudinal Elastic Waves in a 1D Array of Equal Masses and Springs -- 1.7.3 One-dimensional Chain with Two Kinds of Atoms: A Band Gap Appears -- 1.7.4 Stress and Strain Tensors -- 1.8 Lagrange's Function and Hamilton's Function -- 1.9 Force Two: Electromagnetism -- 1.9.1 Coulomb's Law and Ampère's Law -- 1.9.2 Material Media and Their Reaction to External Fields -- 1.9.3 Maxwell's Equations -- 1.9.4 Scalar and Vector Potentials -- 1.9.5 Polarization of Electromagnetic Waves -- 1.9.6 Multipoles -- 1.9.7 Electric Dipole Moments |
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1.9.8 Electric Multipole Moments, Polarizabilities and Hyperpolarizabilities -- 1.10 The Size of Fundamental Particles and the Physical Meaning of Quantum Numbers -- 1.11 Special Relativity -- 1.12 Feynman Diagrams -- 1.13 General Relativity, Gravity as a Curvature of Space-Time and the Size of the Universe -- 1.14 Elements of Optics -- 1.14.1 Jones Vector -- 1.14.2 Anisotropic Indices of Refraction -- 1.14.3 Mirrors -- 1.14.4 Prisms and Gratings -- 1.15 Transforms -- 1.15.1 Convolution Theorem -- 1.15.2 Laplace Transforms -- 1.15.3 Wavelet Transform |
| Notes |
Description based upon print version of record |
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1.16 Contour Integration and Kramers-Kronig Relations |
| Genre/Form |
Electronic books
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| Form |
Electronic book
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| ISBN |
9781119755784 |
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1119755786 |
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