Principles Of Applied Mathematics Transformation And Approximation [Paperback]

This book is primarily about the principles that one uses to solve problems in applied mathematics. It is written for beginning graduate students in applied mathematics, science, and engineering, and is appropriate as a one-year course in applied mathematical techniques.Preface -- Finite Dimensional Vector Spaces -- Function Spaces -- Integral Equations -- Differential Operators and Greens Functions -- Calculus of Variations -- Complex Variable Theory -- Transform and Spectral Theory -- Partial Differential Equations -- Inverse Scattering Transform -- Asymptotic Expansions -- Regular Perturbation Theory -- Singular Perturbation Theory