Introduction to Tensor Products of Banach Spaces

Introduction to Tensor Products of Banach Spaces by Raymond A. Ryan is a graduate-level text that provides a clear and concise introduction to the theory of tensor products in the context of Banach spaces. The book offers a thorough exploration of projective and injective tensor products, their universal properties, and their applications in functional analysis and operator theory. Designed for…

Integral Equations and their Applications

Integral Equations and Their Applications by M. Rahman provides a rigorous and comprehensive introduction to the theory and methods of integral equations, with a strong focus on practical applications in engineering and physical sciences. The book covers both linear and nonlinear integral equations, including Fredholm and Volterra types, and presents a range of analytical and numerical techniqu…

Elementary Numerical Analysis

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 …

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Numerical Analysis

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…

Integrable Geodesic Flows on Two-Dimensional Surfaces

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.

Applied Numerical Analysis

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…

Homotopy Methods in Topological Fixed and Periodic Points Theory

This book provides a comprehensive introduction to homotopy methods in topological fixed and periodic point theory, focusing on Lefschetz and Nielsen numbers. It covers classical fixed point theory and recent developments, offering a self-contained approach suitable for readers with basic algebraic topology knowledge.

General Topology

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…

Topology of Metric Spaces

Topology of Metric Spaces gives a very streamlined development of a course in metric space topology emphasizing only the most useful concepts, concrete spaces and geometric ideas to encourage geometric thinking, to treat this as a preparatory ground for a general topology course, to use this course as a surrogate for real analysis and to help the students gain some perspective of modern analysi…