- 276 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Mathematical Methods for Oscillations and Waves
About this book
Anchored in simple and familiar physics problems, the author provides a focused introduction to mathematical methods in a narrative driven and structured manner. Ordinary and partial differential equation solving, linear algebra, vector calculus, complex variables and numerical methods are all introduced and bear relevance to a wide range of physical problems. Expanded and novel applications of these methods highlight their utility in less familiar areas, and advertise those areas that will become more important as students continue. This highlights both the utility of each method in progressing with problems of increasing complexity while also allowing students to see how a simplified problem becomes 're-complexified'. Advanced topics include nonlinear partial differential equations, and relativistic and quantum mechanical variants of problems like the harmonic oscillator. Physics, mathematics and engineering students will find 300 problems treated in a sophisticated manner. The insights emerging from Franklin's treatment make it a valuable teaching resource.
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Information
Table of contents
- Cover
- Half-title
- Title page
- Copyright page
- Dedication
- Contents
- Preface
- Acknowledgments
- 1 Harmonic Oscillator
- 2 Damped Harmonic Oscillator
- 3 Coupled Oscillators
- 4 The Wave Equation
- 5 Integration
- 6 Waves in Three Dimensions
- 7 Other Wave Equations
- 8 Numerical Methods
- Appendix A Solving ODEs: A Roadmap
- Appendix B Vector Calculus: Curvilinear Coordinates
- References
- Index
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Yes, you can access Mathematical Methods for Oscillations and Waves by Joel Franklin in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Mathematical & Computational Physics. We have over one million books available in our catalogue for you to explore.