Multivariable Calculus with MATLAB With Applications to Geometry and Physics 1st Edition by Ronald L Lipsman,Jonathan M Rosenberg ISBN 3319650696 978-3319650692

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Product details:

ISBN 10: 3319650696 
ISBN 13: 978-3319650692
Author: Ronald L. Lipsman,Jonathan M. Rosenberg

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.

Table of contents: 

Pages i-xii
Download chapter PDF 
Introduction
Ronald L. Lipsman, Jonathan M. Rosenberg
Pages 1-13
Vectors and Graphics
Ronald L. Lipsman, Jonathan M. Rosenberg
Pages 15-31
Geometry of Curves
Ronald L. Lipsman, Jonathan M. Rosenberg
Pages 33-60
Kinematics
Ronald L. Lipsman, Jonathan M. Rosenberg
Pages 61-73
Directional Derivatives
Ronald L. Lipsman, Jonathan M. Rosenberg
Pages 75-94
Geometry of Surfaces
Ronald L. Lipsman, Jonathan M. Rosenberg
Pages 95-121
Optimization in Several Variables
Ronald L. Lipsman, Jonathan M. Rosenberg
Pages 123-146
Multiple Integrals
Ronald L. Lipsman, Jonathan M. Rosenberg
Pages 147-183
Multidimensional Calculus
Ronald L. Lipsman, Jonathan M. Rosenberg
Pages 185-203
Physical Applications of Vector Calculus
Ronald L. Lipsman, Jonathan M. Rosenberg
Pages 205-234
MATLAB Tips
Ronald L. Lipsman, Jonathan M. Rosenberg
Pages 235-240
Sample Solutions
Ronald L. Lipsman, Jonathan M. Rosenberg
Pages 241-267
Back Matter
Pages 269-276

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Ronald L Lipsman,Jonathan M Rosenberg,Multivariable Calculus,Geometry,Physics