Applied Mathematics

About this book

Explore the latest concepts and applications in mathematical methods and modeling The Third Edition of this critically acclaimed text is thoroughly updated and revised with new concepts and applications to assist readers in modeling and analyzing natural social and technological processes. Readers are introduced to key ideas in math-ematical methods and modeling with an emphasis on the connections between mathematics and the applied and natural sciences. The book covers the gamut of both standard and modern topics including scaling and dimensional analysis; regular and singular perturbation; calculus of variations; Greens functions and integral equations; nonlinear wave propagation; and stability and bifurcation. Readers will discover many special features in this new and revised edition such as: A new chapter on discrete-time models including a section devoted to stochastic models A thorough revision of the texts 300 exercises incorporating contemporary problemsand methods Additional material and applications of linear transformations in Rn (matrices eigenvalues etc.) to compare to the integral equation results New material on mathematical biology including age-structured models diffusion and advection and biological modeling including MATLAB programs Moreover the text has been restructured to facilitate its use as a textbook. The first section covers models leading to ordinary differential equations and integral equations and the second section focuses on partial differential equations and their applications. Exercises vary from routine calculations that reinforce basic techniques to challenging problems that stimulate advanced problem solving. With its new exercises and structure this book is highly recommended for upper-undergraduateand beginning graduate students in mathematics engineering and natural sciences. Scientists and engineers will find the book to be an excellent choice for reference and self-study.