089899
New York
1963
13,5×21,5
meki
389
engleski
Cijena: 30,00 EUR
This is an unabridged and unaltered republication of the classic and highly influential work originally published by John Wiley and Sons in 1948. Francis D. Murnaghan, a distinguished professor at the prestigious Johns Hopkins University and a consultant at the David Taylor Model Basin, shaped this text based on his twenty years of experience teaching advanced applied mathematics curricula to graduate students of physics, engineering, chemistry, and mathematics. The work represents a historical and methodological cornerstone that redefined the modern mathematical apparatus required by contemporary physicists and engineers. The content of this extensive monograph is meticulously divided into ten thematic sections that systematically link advanced mathematical theories with their practical applications in dynamics, wave mechanics, and hydrodynamics. The book begins with a detailed introduction to vectors and matrices (Chapters 1 and 2), with a particular emphasis on multidimensional spaces and linear vector functions, serving as a foundation for understanding tensor calculus. Chapters 3 and 4 deal with function spaces, orthogonal systems, Fourier series, linear integral operators, and curvilinear coordinates. The central part of the book is dedicated to partial differential equations and boundary value problems, elaborating on Laplace's equation through electrostatics, spherical harmonics, Bessel functions (Chapters 5 and 6), as well as boundary value problems and Green's functions (Chapter 7). The final segments (Chapters 8 to 10) provide an in-depth analysis of Fredholm and Hilbert-Schmidt integral equations, the calculus of variations (including the Euler-Lagrange and Hamiltonian equations, and Rayleigh's principle), and operational calculus based on the Laplace transform. Each chapter is imbued with rigorous proofs and accompanied by review exercises, making this book an indispensable historical source for studying
