From Nonlinear Dynamics to Trigonometry’s Magic
This book unravels the mathematics of nonlinear dynamics using simple trigonometry. A tutorial for beginners and experts, it examines the fundamental example of Chaos, the Lorenz-Haken equations, with an original approach. For physicists, mathematicians, and students alike.
This book covers the diffraction, radiation, and propagation of elastic waves in isotropic and anisotropic media. It details key methods and their application to hydroacoustic antennas, loudspeakers, and the acoustic monitoring of oil products.
The “Ultraviolet Catastrophe”, the failure to account for black-body radiation, led to quantum mechanics. Another catastrophe was politely ignored and fluid dynamics remained trapped in the nineteenth century. The book outlines a solution to this dilemma.
This book discusses the basic tools of mathematical physics for physicists, mathematicians, and engineers. It reveals the indissoluble connection between physical ideas and mathematical concepts, emphasizing the physical origin and flexibility of the equations.