Mathematics for Physics

Paperback | November 23, 2006

byMichael M. Woolfson, Malcolm S. Woolfson

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Mathematics is the essential language of science. It enables us to describe abstract physical concepts, and to apply these concepts in practical ways. Yet mathematical skills and concepts are an aspect of physics that many students fear the most.Mathematics for Physics recognizes the challenges faced by students in equipping themselves with the maths skills necessary to gain a full understanding of physics. Working from basic yet fundamental principles, the book builds the students' confidence by leading them through the subject in asteady, progressive way.As its primary aim, Mathematics for Physics shows the relevance of mathematics to the study of physics. Its unique approach demonstrates the application of mathematical concepts alongside the development of the mathematical theory. This stimulating and motivating approach helps students to masterthe maths and see its application in the context of physics in one seamless learning experience. Mathematics is a subject mastered most readily through active learning. Mathematics for Physics features both print and online support, with many in-text exercises and end-of-chapter problems, and web-based computer programs, to both stimulate learning and build understanding.Mathematics for Physics is the perfect introduction to the essential mathematical concepts which all physics students should master.Online Resource Centre: For lecturers:Figures from the book available to download, to facilitate lecture preparationFor students:23 computer programs, coded in FORTRAN, C, and MATLAB, to enable students to investigate and solve a range of problems - from the behaviour of clusters of stars to the design of nuclear reactors - and hence make learning as effective and engaging as possible.

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Mathematics is the essential language of science. It enables us to describe abstract physical concepts, and to apply these concepts in practical ways. Yet mathematical skills and concepts are an aspect of physics that many students fear the most.Mathematics for Physics recognizes the challenges faced by students in equipping themselves...

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.

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Format:PaperbackDimensions:808 pages, 9.69 × 7.44 × 1.67 inPublished:November 23, 2006Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199289298

ISBN - 13:9780199289295

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Table of Contents

Preface1. Useful formulae and relationships2. Dimensions and dimensional analysis3. Sequences and series4. Differentiation5. Integration6. Complex numbers7. Ordinary differential equations8. Matrices I and determinants9. Vector algebra10. Conic sections and orbits11. Partial differentiation12. Probability and statistics13. Coordinate systems and multiple integration14. Distributions I15. Hyperbolic functions16. Vector analysis17. Fourier analysis18. Introduction to digital signal processing19. Numerical methods for ordinary differential equations20. Applications of partial differential equations21. Quantum mechanic I: The Schrodinger wave equation and observations22. The Maxwell-Boltzmann distribution23. The Monte-Carlo method24. Matrices II25. Quantum mechanics II: Angular momentum and spin26. Sampling theory27. Straight-line relationships and the linear correlation coefficient28. Interpolation29. Quadrature30. Linear equations31. The numerical solution of equations32. Signals and noise33. Digital filters34. Introduction to estimation theory35. Linear programming and optimization36. Laplace transforms37. Networks38. Simulation with particles39. Chaos and physical calculationsAppendicesSolutions to Exercises and ProblemsIndex

Editorial Reviews

"This is a welcome addition to a field that has been relatively underserved--mathematical physics primarily aimed at undergraduate students of physics."-Choice