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A readable and enjoyable text designed to strengthen the problem-solving skills of undergraduate students. It provides hundreds of mathematical problems and gives special emphasis to problems in context, often called story problems or modeling problems, that require mathematical formulation as a preliminary step.
The authors reduce a variety of problems in system / control theory to a handful of convex and quasiconvex optimization problems.
This second edition gives an in-depth, up-to-date view of practical algorithms for solving large-scale linear systems of equations.
This book contains all the material necessary for a course on the numerical solution of differential equations.
Presents a concise introduction to the concepts of probability theory and mathematical statistics. The accompanying in-class and take-home computer laboratory activities reinforce the techniques introduced in the text and are accessible to students with little or no experience with Mathematica.
Mathematical Models in Biology is an introductory book for readers interested in biological applications of mathematics and modeling in biology.
Provides a rigorous mathematical analysis of the behavior of nonlinear control systems under a variety of situations. This book develops nonlinear generalizations of a large number of techniques and methods widely used in linear control theory.
This is the only book available that analyses in depth the mathematical foundations of the finite element method. It is a valuable reference and introduction to current research on the numerical analysis of the finite element method, as well as a working textbook for graduate courses in numerical analysis.
Presents a carefully selected group of methods for unconstrained and bound constrained optimization problems and analyzes them in depth both theoretically and algorithmically. It focuses on clarity in algorithmic description and analysis rather than generality.
Now available in English for the first time, Physics and Partial Differential Equations, Volume I bridges physics and applied mathematics in a manner that is easily accessible to readers with an undergraduate-level background in these disciplines.
An accessible text for the study of numerical methods for solving least squares problems remains an essential part of a scientific software foundation. Numerical analysts, statisticians, and engineers have developed techniques and nomenclature for the least squares problems of their own discipline.
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