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Introduction to Tensor Analysis and the Calculus of Moving Surfaces

Pavel Grinfeld

Introduction to Tensor Analysis and the Calculus of Moving Surfaces
Introduction to Tensor Analysis and the Calculus of Moving Surfaces

Introduction to Tensor Analysis and the Calculus of Moving Surfaces

Pavel Grinfeld

Paperback | Engels
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Omschrijving

This introduction to tensor calculus features over 150 exercises. It uses an informal approach, focuses on concrete objects, and appeals to the reader's intuition with regard to fundamental concepts, such as the Euclidean space, surface, and length.

From the book reviews:

“The textbook is meant for advanced undergraduate and graduate audiences. It is a common language among scientists and can help students from technical fields see their respective fields in a new and exiting way.” (Maido Rahula, zbMATH, Vol. 1300, 2015)

“This book attempts to give careful attention to the advice of both Cartan and Weyl and to present a clear geometric picture along with an effective and elegant analytical technique … . it should be emphasized that this book deepens its readers’ understanding of vector calculus, differential geometry, and related subjects in applied mathematics. Both undergraduate and graduate students have a chance to take a fresh look at previously learned material through the prism of tensor calculus.” (Andrew Bucki, Mathematical Reviews, November, 2014)

Pavel Grinfeld is currently a professor of mathematics at Drexel University, teaching courses in linear algebra, tensor analysis, numerical computation, and financial mathematics. Drexel is interested in recording Grinfeld's lectures on tensor calculus and his course is becoming increasingly popular. Visit Professor Grinfeld's series of lectures on tensor calculus on YouTube's playlist: http://bit.ly/1lc2JiY http://bit.ly/1lc2JiY  

Also view the author's Forum/Errata/Solution Manual (Coming soon): http://bit.ly/1nerfEf

The author has published in a number of journals including 'Journal of Geometry and Symmetry in Physics' and 'Numerical Functional Analysis and Optimization'. Grinfeld received his PhD from MIT under Gilbert Strang.

Specificaties

  • Uitgever
    Springer-Verlag New York Inc.
  • Verschenen
    aug. 2016
  • Genre
    Differentiaal- en Rieman-meetkunde
  • Afmetingen
    235 x 155 mm
  • Gewicht
    4803 gram
  • EAN
    9781493955053
  • Paperback
    Paperback
  • Taal
    Engels