Peter Mann completed his undergraduate degree in Chemistry at the University of St Andrews. He is now a PhD student at the University of St Andrews investigating spreading phenomena on complex networks and how antibiotic resistance proliferates on different network topologies.
Part I: Newtonian Mechanics 1. Introduction 2. Newton's Three Laws 3. Energy and Work 4. Introductory Rotational Dynamics 5. The Harmonic Oscillator 6. Wave Mechanics & Elements of Mathematical Physics Part II: Langrangian Mechanics 7. Introduction 8. Coordinates & Constraints 9. The Stationary Action Principle 10. Constrained Langrangian Mechanics 11. Point Transformations in Langrangian Mechanics 12. The Jacobi Energy Function 13. Symmetries & Langrangian-Hamiltonian-Jacobi Theory 14. Near-Equilibrium Oscillations 15. Virtual Work & d'Alembert's Principle Part III: Canonical Mechanics 16. Introduction 17. The Hamiltonian & Phase Space 18. Hamiltonian's equations & Routhian Reduction 19. Poisson Brackets & Angular momentum 20. Canonical & Gauge Transformations 21. Hamilton-Jacobi Theory 22. Liouville's Theorem & Classical Statistical Mechanics 23. Constrained Hamiltonian Dynamics 24. Autonomous Geometrical Mehcanics 25. The Structure of Phase Space 26. Near-Integrable Systems Part IV: Classical Field Theory 27. Introduction 28. Langrangian Field Theory 29. Hamiltonian Field Theory 30. Clssical Electromagnetism 31. Neother's Theorem for Fields 32. Classical Path-Integrals Part V: Preliminary Mathematics 33. The (Not so?) Basics 34. Matrices 35. Partial Differentiation 36. Legendre Transformations 37. Vector Calculus 38. Differential equations 39. Calculus of Variations Part VI: Advanced Mathematics 40. Linear Algebra 41. Differential Geometry Part VII: Exam Style Questions Appendix A. Noether's Theorem Explored Appendix B. The Action Principle Explored Appendix C. Useful Relations Appendxi D. Poisson & Nambu Brackets Explored Appendix. Canonical Transformations Explored Appendix F. Action-Angle Variables Explored Appendix G. Statistical Mechanics Explored Appendix H. Biographies
What is included with this book?
The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.
The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.
Please wait while the item is added to your bag...