عنوان

Multivariable Calculus with MATLAB®

9783319650708

E3309

انگلیسی

Multivariable Calculus with MATLAB®

With Applications to Geometry and Physics

by Ronald L. Lipsman, Jonathan M. Rosenberg.

1st ed. 2017.

Cham

Springer International Publishing

2017

xii, 276 p.

illustrations (some color)

1. Introduction -- 2. Vectors and Graphics -- 3. Geometry of Curves -- 4. Kinematics -- 5. Directional Derivatives -- 6. Geometry of Surfaces -- 7. Optimization in Several Variables -- 8. Multiple Integrals -- 9. Multidimensional Calculus -- 10. Physical Applications of Vector Calculus -- 11. MATLAB Tips -- Sample Solutions -- Index.

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This comprehensive treatment of multivariable calculus focuses on the numerous tools that MATLAB R brings to the subject, as it presents introductions to geometry, mathematical physics, and kinematics. Covering simple calculations with MATLAB R, 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.

Calculus of variations.

Integral transforms.

Operational calculus.

Lipsman, Ronald L.

Rosenberg, Jonathan M.

ایران

University of Tehran. Library of College of Science

20200928163606.0

rda

UT_SCI_BL_DB_1003569_0001.pdf

e

BL

278840

a

Y