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Multivariable Calculus with MATLAB®

With Applications to Geometry and Physics

  • Ronald L. Lipsman
  • Jonathan M. Rosenberg

Table of contents

  1. Front Matter
    Pages i-xii
  2. Ronald L. Lipsman, Jonathan M. Rosenberg
    Pages 1-13
  3. Ronald L. Lipsman, Jonathan M. Rosenberg
    Pages 15-31
  4. Ronald L. Lipsman, Jonathan M. Rosenberg
    Pages 33-60
  5. Ronald L. Lipsman, Jonathan M. Rosenberg
    Pages 61-73
  6. Ronald L. Lipsman, Jonathan M. Rosenberg
    Pages 75-94
  7. Ronald L. Lipsman, Jonathan M. Rosenberg
    Pages 95-121
  8. Ronald L. Lipsman, Jonathan M. Rosenberg
    Pages 123-146
  9. Ronald L. Lipsman, Jonathan M. Rosenberg
    Pages 147-183
  10. Ronald L. Lipsman, Jonathan M. Rosenberg
    Pages 185-203
  11. Ronald L. Lipsman, Jonathan M. Rosenberg
    Pages 205-234
  12. Ronald L. Lipsman, Jonathan M. Rosenberg
    Pages 235-240
  13. Ronald L. Lipsman, Jonathan M. Rosenberg
    Pages 241-267
  14. Back Matter
    Pages 269-276

About this book

Introduction

This comprehensive treatment of multivariable calculus focuses on the numerous tools that MATLAB® brings to the subject, as it presents introductions to geometry, mathematical physics, and kinematics. Covering simple calculations with MATLAB®, relevant plots, integration, and optimization, the numerous problem sets encourage practice with newly learned skills that cultivate the reader’s understanding of the material. Significant examples illustrate each topic, and fundamental physical applications such as Kepler’s Law, electromagnetism, fluid flow, and energy estimation are brought to prominent position. Perfect for use as a supplement to any standard multivariable calculus text, a “mathematical methods in physics or engineering” class, for independent study, or even as the class text in an “honors” multivariable calculus course, this textbook will appeal to mathematics, engineering, and physical science students.

MATLAB® is tightly integrated into every portion of this book, and its graphical capabilities are used to present vibrant pictures of curves and surfaces. Readers benefit from the deep connections made between mathematics and science while learning more about the intrinsic geometry of curves and surfaces. With serious yet elementary explanation of various numerical algorithms, this textbook enlivens the teaching of multivariable calculus and mathematical methods courses for scientists and engineers.

Keywords

Multivariable Calculus Geometry of Curves Vectors and Graphs Kinematics Directional derivatives MatLab vectors geometry of surfaces optimization multiple integrals multidimensional calculus physical applications of vector calculus vector calculus

Authors and affiliations

  • Ronald L. Lipsman
    • 1
  • Jonathan M. Rosenberg
    • 2
  1. 1.Department of Mathematics University of MarylandROCKVILLEUSA
  2. 2.William E Kirwan HallUniversity of Maryland, Mathematics Dept William E Kirwan HallCollege ParkUSA

Bibliographic information

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