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.
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.