The provided text is the preface and table of contents for the book "Numerical Methods for Wave Equations in Geophysical Fluid Dynamics" by Dale R. Durran. The book is part of the "Texts in Applied Mathematics" series, edited by J.E. Marsden, L. Sirovich, M. Golubitsky, and W. Jäger, and published by Springer Science+Business Media, LCC. The series aims to bridge the gap between modern and classical techniques in applied mathematics, catering to advanced undergraduate and beginning graduate students. The book focuses on numerical methods for solving partial differential equations that govern wave-like flows in geophysical fluid dynamics. It covers a range of topics, including finite-difference methods, series-expansion methods (such as spectral and finite-element methods), finite-volume methods, and semi-Lagrangian schemes. Each chapter includes theoretical derivations and numerical examples to illustrate the methods' properties and facilitate intercomparison. The content is structured into several chapters, starting with an introduction to partial differential equations and wave equations in geophysical fluid dynamics, followed by detailed discussions on various numerical methods. Additional chapters cover advanced topics such as the approximation of slow-moving waves, wave-permeable boundary conditions, and the solution of elliptic equations. The book also includes a bibliography and an index for further reference. The author acknowledges the contributions of several colleagues and the support from various institutions, including the National Science Foundation and the Office of Naval Research. The book is intended to serve as a comprehensive resource for students and researchers in atmospheric sciences and applied mathematics.The provided text is the preface and table of contents for the book "Numerical Methods for Wave Equations in Geophysical Fluid Dynamics" by Dale R. Durran. The book is part of the "Texts in Applied Mathematics" series, edited by J.E. Marsden, L. Sirovich, M. Golubitsky, and W. Jäger, and published by Springer Science+Business Media, LCC. The series aims to bridge the gap between modern and classical techniques in applied mathematics, catering to advanced undergraduate and beginning graduate students. The book focuses on numerical methods for solving partial differential equations that govern wave-like flows in geophysical fluid dynamics. It covers a range of topics, including finite-difference methods, series-expansion methods (such as spectral and finite-element methods), finite-volume methods, and semi-Lagrangian schemes. Each chapter includes theoretical derivations and numerical examples to illustrate the methods' properties and facilitate intercomparison. The content is structured into several chapters, starting with an introduction to partial differential equations and wave equations in geophysical fluid dynamics, followed by detailed discussions on various numerical methods. Additional chapters cover advanced topics such as the approximation of slow-moving waves, wave-permeable boundary conditions, and the solution of elliptic equations. The book also includes a bibliography and an index for further reference. The author acknowledges the contributions of several colleagues and the support from various institutions, including the National Science Foundation and the Office of Naval Research. The book is intended to serve as a comprehensive resource for students and researchers in atmospheric sciences and applied mathematics.