This text in multivariable calculus fosters comprehension through meaningful explanations. Written with students in mathematics, the physical sciences, and engineering in mind, it extends concepts from single variable calculus such as derivative, integral, and important theorems to partial derivatives, multiple integrals, Stokes’ and divergence theorems. Students with a background in single variable calculus are guided through a variety of problem solving techniques and practice problems. Examples from the physical sciences are utilized to highlight the essential relationship between calculus and modern science. The symbiotic relationship between science and mathematics is shown by deriving and discussing several conservation laws, and vector calculus is utilized to describe a number of physical theories via partial differential equations. Students will learn that mathematics is the language that enables scientific ideas to be precisely formulated and that science is a source for the development of mathematics.

## Multivariable Calculus with MATLAB®

*With Applications to Geometry and Physics*

## Multivariable Calculus and Mathematica®

*With Applications to Geometry and Physics*

## Multivariable Calculus with Engineering and Science Applications

Aimed at students seeking a career in science, engineering or mathematics, this text on multivariable calculus emphasizes that calculus is best understood via geometry and interdisciplinary applications. The book includes problem sets and chapter projects that offer a substantial source of applied problems. Also included are chapter-end do-it-yourself projects on topics in science, engineering and probability. Short examples of MATLAB code are featured occasionally.

## Two and Three Dimensional Calculus

*With Applications in Science and Engineering*

## Calculus with Applications

'Calculus with Applications' is the authors' most applied text to date, making the math relevant and accessible for students of business, life science, and social sciences. Current applications, many using real data, are incorporated in numerous forms throughout the book, preparing students for success in their professional careers.

## Calculus with Applications, Brief Version

## Matrix Differential Calculus with Applications in Statistics and Econometrics

## Multivariable Calculus with Matrices

For standard undergraduate Calculus courses. Multivariable Calculus now has a full chapter of material on matrices and eigenvalues up front. All of Multivariable Calculus has been rewritten with matrix notation.* NEW-Linear algebra and matrices-Found in Semester III. Linear systems and matrices through determinants and eigenvalues are now introduced in Chapter 11. The subsequent multivariable chapters now integrate matrix methods and terminology with traditional multivariable calculus (e.g., the chain rule in matrix form). * NEW-CD-ROM/WWW learning resources fully integrated throughout-The CD-ROM accompanying the book contains a student-usable, functional array of fully integrated learning resources linked to individual sections of the text. Most text examples are animated with 'What-If' scenarios. The whole text is available in interactive Maple notebooks. * NEW-320 End-of-section Concepts/Questions and Discussion -Adds beginning conceptual questions that can serve as the basis for either writing assignments or for individual and group discussion. Also added are higher-end problems at the ends of problem sets. * NEW-True/False Study Guide-Ten author-written true/false questions (w