Numerical Analysis For Applied Science

Product DescriptionWritten for graduate students in applied mathematics, engineering and science courses, the purpose of this book is to present topics in 'Numerical Analysis' and 'Numerical Methods.' It will combine the material of both these areas as well as special topics in modern applications. Included at the end of each chapter are a variety of theoretical and computational exercises.From the PublisherWritten for graduate students in applied mathematics, engineering and science courses, the purpose of this book is to present topics in 'Numerical Analysis' and 'Numerical Methods.' It will combine the material of both these areas as well as special topics in modern applications. Included at the end of each chapter are a variety of theoretical and computational exercises.From the Inside FlapCombines the Rigor of a Numerical Analysis Text with the Practical Guidance of a Methods Text Numerical Analysis for Applied Science is a graduatelevel text suitable for both scientists and engineers as well as applied mathematicians. Each chapter begins with the motivation and construction of the methods under discussion, moves on to practical considerations associated with their implementation, and concludes with an indepth treatment of rigorous mathematical details. The chapterend problem sets include both theoretical and computational exercises. The authors provide a broad selection of current numerical methods, especially those used in scientific computation involving differential equations. The text also introduces many topics often omitted in books at this level, including:* Multidimensional interpolation* QuasiNewton methods* Multigrid methods* QR methods of eigenvalues* Finite elements* And many moreFrom the Back CoverCombines the Rigor of a Numerical Analysis Text with the Practical Guidance of a Methods Text Numerical Analysis for Applied Science is a graduatelevel text suitable for both scientists and engineers as well as applied mathematicians. Each chapter begins with the motivation and construction of the methods under discussion, moves on to practical considerations associated with their implementation, and concludes with an indepth treatment of rigorous mathematical details. The chapterend problem sets include both theoretical and computational exercises. The authors provide a broad selection of current numerical methods, especially those used in scientific computation involving differential equations. The text also introduces many topics often omitted in books at this level, including:* Multidimensional interpolation* QuasiNewton methods* Multigrid methods* QR methods of eigenvalues* Finite elements* And many moreAbout the AuthorMYRON B. ALLEN III is Professor and Head of Mathematics at the University of Wyoming. He earned his AB at Dartmouth College and an MA and PhD at Princeton University. His research publications include works in numerical analysis, scientific computation, and fluid flows in porous media. ELI L. ISAACSON is Professor Emeritus of Mathematics at the University of Wyoming. He earned his BA, MS, and PhD at the Courant Institute of New York University. His research contributions include articles in differential equations, numerical analysis, and various areas of applied mathematics.