Offering a clear, precise, and accessible presentation, complete with MATLAB programs, this new Third Edition of Elementary Numerical Analysis gives students the support they need to master basic numerical analysis and scientific computing. Now updated and revised, this significant revision features reorganized and rewritten content, as well as some new additional examples and problems. The …
The new Seventh Edition of Burden and Faires' well-respected Numerical Analysis provides a foundation in modern numerical-approximation techniques. Explaining how, why, and when the techniques can be expected to work, the Seventh Edition places an even greater emphasis on building readers' intuition to help them understand why the techniques presented work in general, and why, in some situation…
A topological and geometric analysis of integrable geodesic flows on compact 2D surfaces. The book develops a classification scheme based on Liouville foliations and highlights the conditions under which integrability is possible or obstructed.
This textbook provides a comprehensive introduction to numerical methods, emphasizing practical applications in engineering, science, and mathematics. It covers topics such as solving nonlinear equations, interpolation, numerical differentiation and integration, optimization, and the numerical solution of ordinary and partial differential equations. The 7th edition includes updated content on c…
This classic book is a systematic exposition of general topology. It is especially intended as background for modern analysis. Based on lectures given at the University of Chicago, the University of California and Tulane University, this book is intended to be a reference and a text. As a reference work, it offers a reasonably complete coverage of the area, and this has resulted in a more exten…