Focusing on the Lagrangian and Hamiltonian formulations of Analytical Mechanics, this advanced undergraduate textbook delves into canonical equations and incorporates constraints via Lagrange multipliers. It emphasizes Hamilton's Principle, serving as the foundation for subsequent topics throughout the text, making it a comprehensive resource for students seeking a deeper understanding of these critical concepts in mechanics.
Exploring classical electromagnetic fields reveals a mathematically complete theory rooted in Newtonian experimental and mathematical philosophy. The book highlights foundational experiments that underpin the theory and delves into James Clerk Maxwell's groundbreaking proposal of field-field interactions, showcasing the interplay between experimental evidence and theoretical innovation.
A Historical Primer for Physics Students
Focusing on the evolution of quantum mechanics, the book delves into key experimental and theoretical works that shaped the field. It highlights the interconnections among various hypotheses, tracing their development from early atomic models by J.J. Thomson to Max Planck's efforts in interpreting experimental findings. Additionally, it explores the transition from Louis de Broglie's concepts to Erwin Schrödinger's wave theory, offering insights into the foundational ideas that contributed to modern quantum theory.
Thermodynamics is not the oldest of sciences. Mechanics can make that claim. Thermodynamicsisaproductofsomeofthegreatestscienti?cmindsofthe19thand 20th centuries. But it is suf?ciently established that most authors of new textbooks in thermodynamics ?nd it necessary to justify their writing of yet another textbook. I ?nd this an unnecessary exercise because of the centrality of thermodynamics as a science in physics, chemistry, biology, and medicine. I do acknowledge, however, that instruction in thermodynamics often leaves the student in a confused state. My attempt in this book is to present thermodynamics in as simple and as uni?ed a form as possible. As teachers we identify the failures of our own teachers and attempt to correct them. Although I personally acknowledge with a deep gratitude the appreciation for thermodynamics that I found as an undergraduate, I also realize that my teachers did not convey to me the sweeping grandeur of thermodynamics. Speci?cally the s- plicity and the power that James Clerk Maxwell found in the methods of Gibbs were not part of my undergraduate experience. Unfortunately some modern authors also seem to miss this central theme, choosing instead to introduce the thermodynamic potentials as only useful functions at various points in the development.