Modern Tensor Calculus/Continuum Mech Textbook

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SUMMARY

The discussion centers on finding a modern, illustrative textbook for tensor calculus and continuum mechanics, specifically tailored for engineering applications. Recommended texts include "Introduction to Tensor Analysis and the Calculus of Moving Surfaces" by Grinfield and "Principles of Continuum Mechanics" by Narasimhan, both noted for their readability and practical examples. The emphasis is on fluid mechanics, with a particular focus on continuum kinematics over elasticity. Grinfield's textbook is further enhanced by accompanying YouTube lectures for additional learning support.

PREREQUISITES
  • Understanding of basic calculus and linear algebra
  • Familiarity with fluid mechanics principles
  • Knowledge of continuum mechanics concepts
  • Ability to engage with engineering-focused educational materials
NEXT STEPS
  • Explore "Introduction to Tensor Analysis and the Calculus of Moving Surfaces" by Grinfield
  • Review "Principles of Continuum Mechanics" by Narasimhan
  • Watch Grinfield's YouTube lectures on tensor analysis
  • Research continuum kinematics in the context of fluid mechanics
USEFUL FOR

Engineering students, educators in mechanical and civil engineering, and professionals seeking to deepen their understanding of tensor calculus and continuum mechanics with a focus on fluid mechanics applications.

humphreybogart
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Hi,

I'm looking for a modern, colourful, illustrative introductory textbook to work through on tensor calculus/continuum mechanics. I'd like one with lots of physical examples, exercises, summaries, etc. I'd like an emphasis on engineering.

Something in the mould of Frank White's Fluid Mechanics or Çengel & Boles Thermodynamics: An Engineering Approach. I really love these textbooks and seem to learn much more efficiently from textbooks of this style.

My focus is on fluid mechanics, so there are certain areas of continuum mechanics that are more important than others (I suppose continuum kinematics is more relevant than elasticity?).

Thanks :)
 
Physics news on Phys.org
Both of the following books are very readable...

Introduction to Tensor Analysis and the Calculus of Moving Surfaces by Grinfield
Principles of Continuum Mechanics by Narasimhan
 

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