Using a dual presentation that is rigorous and comprehensive—yet exceptionaly reader-friendly in approach—this book covers most of the standard topics in multivariate calculus and an introduction to linear algebra. It focuses in underlying ideas, integrates theory and applications, offers a host of learning aids, features coverage of differential forms, and emphasizes numerical methods that highlight modern applications of mathematics. The revised and expanded content of this edition includes new discussions of functions; complex numbers; closure, interior, and boundary; orientation; forms restricted to vector spaces; expanded discussions of subsets and subspaces of R^n; probability, change of basis matrix; and more. For individuals interested in the fields of mathematics, engineering, and science—and looking for a unified approach and better understanding of vector calculus, linear algebra, and differential forms.

Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach (2nd Edition)

Science & Math

Hubbard, John H.

Hubbard, Barbara Burke

Mathematics

Pearson College Div

Using a dual-presentation that is rigorous and comprehensive--yet exceptionally "student-friendly" in approach--this text covers most of the standard topics in multivariate calculus and a substantial part of a standard first course in linear algebra. It focuses on underlying ideas, integrates theory and applications, offers a host of pedagogical aids, and features coverage of differential forms. There is an emphasis on numerical methods to prepare students for modern applications of mathematics.

Vector Calculus, Linear Algebra and Differential Forms: A Unified Approach

MacMath is a scientific toolkit for the Macintosh computer consisting of twelve graphics programs. It supports mathematical computation and experimentation in dynamical systems, both for differential equations and for iteration. The MacMath package was designed to accompany the textbooks Differential Equations: A Dynamical Systems Approach Part I &amp; II. The text and software was developed for a junior-senior level course in applicable mathematics at Cornell University, in order to take advantage of excellent and easily accessible graphics. MacMath addresses differential equations and iteration such as: analyzer, diffeq, phase plane, diffeq 3D views, numerical methods, periodic differential equations, cascade, 2D iteration, eigenfinder, jacobidraw, fourier, planets. These versatile programs greatly enhance the understanding of the mathematics in these topics. Qualitative analysis of the picture leads to quantitative results and even to new mathematics. This new edition includes the latest version of the Mac Math diskette, 9.2.

MacMath 9.2: A Dynamical Systems Software Package for the Macintosh™

Reference

Springer

This is a continuation of the subject matter discussed in the first book, with an emphasis on systems of ordinary differential equations and will be most appropriate for upper level undergraduate and graduate students in the fields of mathematics, engineering, and applied mathematics, as well as in the life sciences, physics, and economics. After an introduction, there follow chapters on systems of differential equations, of linear differential equations, and of nonlinear differential equations. The book continues with structural stability, bifurcations, and an appendix on linear algebra. The whole is rounded off with an appendix containing important theorems from parts I and II, as well as answers to selected problems.

Differential Equations: A Dynamical Systems Approach: Higher-Dimensional Systems (Texts in Applied Mathematics, 18)

West, Beverly H.

This corrected third printing retains the authors'main emphasis on ordinary differential equations. It is most appropriate for upper level undergraduate and graduate students in the fields of mathematics, engineering, and applied mathematics, as well as the life sciences, physics and economics. The authors have taken the view that a differential equations theory defines functions; the object of the theory is to understand the behaviour of these functions. The tools the authors use include qualitative and numerical methods besides the traditional analytic methods, and the companion software, MacMath, is designed to bring these notions to life.

Differential Equations: A Dynamical Systems Approach: Ordinary Differential Equations (Texts in Applied Mathematics, 5)

This corrected third printing retains the authors'main emphasis on ordinary differential equations. It is most appropriate for upper level undergraduate and graduate students in the fields of mathematics, engineering, and applied mathematics, as well as the life sciences, physics and economics. The authors have taken the view that a differential equations theory defines functions; the object of the theory is to understand the behaviour of these functions. The tools the authors use include qualitative and numerical methods besides the traditional analytic methods, and the companion software, MacMath, is designed to bring these notions to life.

Differential Equations: A Dynamical Systems Approach: Ordinary Differential Equations (Texts in Applied Mathematics)

Differential Equations: A Dynamical Systems Approach: Higher-Dimensional Systems (Texts in Applied Mathematics)

MacMath 9. 2: a dynamical systems software package for the Macintosh (English and German Edition)

Computers & Technology

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