Mathematics for Physics demonstrates the application of mathematical concepts alongside the development of the mathematical theory. This stimulating and motivating approach helps students to master the maths and see its application in the context of physics in one seamless learning experience.
Mathematics for Physics demonstrates the application of mathematical concepts alongside the development of the mathematical theory. This stimulating and motivating approach helps students to master the maths and see its application in the context of physics in one seamless learning experience.
Michael M. Woolfson is Emeritus Professor of Theoretical Physics, Department of Physics, University of York, UK. Dr Malcolm S. Woolfson is a Lecturer in Signal Processing, School of Electrical and Electronic Engineering, University of Nottingham, UK.
Inhaltsangabe
* Preface * 1: Useful formulae and relationships * 2: Dimensions and dimensional analysis * 3: Sequences and series * 4: Differentiation * 5: Integration * 6: Complex numbers * 7: Ordinary differential equations * 8: Matrices I and determinants * 9: Vector algebra * 10: Conic sections and orbits * 11: Partial differentiation * 12: Probability and statistics * 13: Coordinate systems and multiple integration * 14: Distributions I * 15: Hyperbolic functions * 16: Vector analysis * 17: Fourier analysis * 18: Introduction to digital signal processing * 19: Numerical methods for ordinary differential equations * 20: Applications of partial differential equations * 21: Quantum mechanic I: The Schrödinger wave equation and observations * 22: The Maxwell-Boltzmann distribution * 23: The Monte-Carlo method * 24: Matrices II * 25: Quantum mechanics II: Angular momentum and spin * 26: Sampling theory * 27: Straight-line relationships and the linear correlation coefficient * 28: Interpolation * 29: Quadrature * 30: Linear equations * 31: The numerical solution of equations * 32: Signals and noise * 33: Digital filters * 34: Introduction to estimation theory * 35: Linear programming and optimization * 36: Laplace transforms * 37: Networks * 38: Simulation with particles * 39: Chaos and physical calculations * Appendices * Solutions to Exercises and Problems * Index
* Preface * 1: Useful formulae and relationships * 2: Dimensions and dimensional analysis * 3: Sequences and series * 4: Differentiation * 5: Integration * 6: Complex numbers * 7: Ordinary differential equations * 8: Matrices I and determinants * 9: Vector algebra * 10: Conic sections and orbits * 11: Partial differentiation * 12: Probability and statistics * 13: Coordinate systems and multiple integration * 14: Distributions I * 15: Hyperbolic functions * 16: Vector analysis * 17: Fourier analysis * 18: Introduction to digital signal processing * 19: Numerical methods for ordinary differential equations * 20: Applications of partial differential equations * 21: Quantum mechanic I: The Schrödinger wave equation and observations * 22: The Maxwell-Boltzmann distribution * 23: The Monte-Carlo method * 24: Matrices II * 25: Quantum mechanics II: Angular momentum and spin * 26: Sampling theory * 27: Straight-line relationships and the linear correlation coefficient * 28: Interpolation * 29: Quadrature * 30: Linear equations * 31: The numerical solution of equations * 32: Signals and noise * 33: Digital filters * 34: Introduction to estimation theory * 35: Linear programming and optimization * 36: Laplace transforms * 37: Networks * 38: Simulation with particles * 39: Chaos and physical calculations * Appendices * Solutions to Exercises and Problems * Index
Rezensionen
This stimulating and informative text effortlessly combines theory and application. I would recommend this low-cost book to undergraduate physical science students and it would be a handy reference source for professionals alike. Physical Sciences Educational Reviews, June 2008
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