Mathematical methods for oscillations and waves / Joel Franklin
Material type: TextPublication details: United Kingdom Cambridge University Press 2020Description: 260pISBN:- 9781108488228
- 531.3201 FRA-J
Item type | Current library | Collection | Shelving location | Call number | Status | Date due | Barcode | Item holds | |
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Books | BITS Pilani Hyderabad | 530 | General Stack (For lending) | 531.3201 FRA-J (Browse shelf(Opens below)) | Available | 44833 |
Browsing BITS Pilani Hyderabad shelves, Shelving location: General Stack (For lending), Collection: 530 Close shelf browser (Hides shelf browser)
531.32 SHA-A Theory of vibration : an introduction / | 531.32 SHA-A Theory of vibration : an introduction / | 531.32 ZAP-M Advances on analysis and control of vibrations - theory and applications / | 531.3201 FRA-J Mathematical methods for oscillations and waves / | 531.3201 PAL-A Vibration theory and applications with finite elements and active vibration control / | 531.33 ACH-J Wave propagation in elastic solids / | 531.38 HEL-H Theory of elasticity and plasticity / |
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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