Numerical analysis for applied science / Myron B. Allen III (University of Wyoming, Laramie, USA), Eli L. Isaacson (University of Wyoming, Laramie, USA).

Includes index.

Some useful tools -- Approximation of functions -- Direct methods for linear systems -- Solution of nonlinear equations -- Iterative methods for linear systems -- Eigenvalue problems -- Numerical integration -- Ordinary differential equations -- Difference methods for pdes -- Introduction to finite elements.

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"Pragmatic and Adaptable Textbook Meets the Needs of Students and Instructors from Diverse Fields Numerical analysis is a core subject in data science and an essential tool for applied mathematicians, engineers, and physical and biological scientists. This updated and expanded edition of Numerical Analysis for Applied Science follows the tradition of its precursor by providing a modern, flexible approach to the theory and practical applications of the field. As before, the authors emphasize the motivation, construction, and practical considerations before presenting rigorous theoretical analysis. This approach allows instructors to adapt the textbook to a spectrum of uses, ranging from one-semester, methods-oriented courses to multi-semester theoretical courses. The book includes an expanded first chapter reviewing useful tools from analysis and linear algebra. Subsequent chapters include clearly structured expositions covering the motivation, practical considerations, and theory for each class of methods. The book includes over 250 problems exploring practical and theoretical questions and 32 pseudocodes to help students implement the methods."--Provided by publisher.