For introductory courses in Differential Equations. This text provides the conceptual development and geometric visualization of a modern differential equations course while maintaining the solid foundation of algebraic techniques that are still essential to science and engineering students. It reflects the new excitement in differential equations as the availability of technical computing environments likeMaple, Mathematica, and MATLAB reshape the role and applications of the discipline. New technology has motivated a shift in emphasis from traditional, manual methods to both qualitative and computer-based methods that render accessible a wider range of realistic applications. With this in mind, the text augments core skills with conceptual perspectives that students will need for the effective use of differential equations in their subsequent work and study.

This book helps readers develop the quantitative literacy skills and savvy needed to function effectively in society and the workplace. It focuses on "mathematical modeling" and the use of elementary mathematics--e.g., numbers and measurement, algebra, geometry, and data exploration--to investigate real-world problems and questions. It assumes no technology other than the use of graphing calculators, and provides a comprehensive technology support system on an accompanying CD-ROM and web site. Linear Functions and Models. Quadratic Functions and Models. Natural Growth Models. Exponential and Trigonometric Models. Polynomial Models and Linear Systems. Optimization Problems. Bounded Growth Models. For anyone wanting to develop proficiency in mathematical modeling.

Modern conceptual treatment of multivariable calculus, emphasizing the interplay of geometry and analysis via linear algebra and the approximation of nonlinear mappings by linear ones. At the same time, ample attention is paid to the classical applications and computational methods. Hundreds of examples, problems and figures. 1973 edition.

A leaner, crisper, more accessible edition (according to the preface), for the widening range of students who need knowledge of the basic concepts. No bibliography. Annotation copyright Book News, Inc. Portland, Or.

This introduction to elementary differential equations covers a range of real-world applications, numerical and computer material, and treatment of contemporary topics. It encompasses phase plane diagrams, modelling, graded problem sets and illustrative programs written in BASIC.

This text is rigorous, fairly traditional and is appropriate for engineering and science calculus tracks. Hallmarks are accuracy, strong engineering and science applications, deep problem sets (in quantity, depth, and range), and spectacular visuals.

This practical book reflects the new technological emphasis that permeates differential equations, including the wide availability of scientific computing environments like Maple, Mathematica, and MATLAB; it does not concentrate on traditional manual methods but rather on new computer-based methods that lead to a wider range of more realistic applications. The book starts and ends with discussions of mathematical modeling of real-world phenomena, evident in figures, examples, problems, and applications throughout the book. For mathematicians and those in the field of computer science and engineering.