Da Silva A Tensors for Scientists A Mathematical Introduction 2025
General:
Name: Da Silva A Tensors for Scientists A Mathematical Introduction 2025
Format: pdf
Size: 4.37 MB
Book:
Title: Tensors for Scientists: A Mathematical Introduction
Author: Ana Cannas da Silva & Özlem Imamoğlu & Alessandra Iozzi
Language: English
Year: 2025
Subjects: Mathematics, Science, Nonfiction
Publisher: Birkhäuser, Springer Aug 2025
ISBN: 3031941357
Total pages: 176
Description:
This textbook provides a compact introduction to tensors, which are physical or geometric entities that generalize vectors. Tensors are fundamental in engineering and physics, as they form the framework for formulating and solving problems across various disciplines. These include mechanics (inertia tensor, stress tensor, elasticity tensor), electrodynamics (electrical conductivity and resistivity tensors, electromagnetic tensor, magnetic susceptibility tensor), and general relativity (stress-energy tensor, curvature tensor). As such, tensors are integral to most engineering and physics curricula.
The material is presented with a rigorous mathematical foundation while emphasizing practical applications. The numerous exercises, accompanied by detailed solutions, further enhance the book’s pedagogical purpose and facilitate self-learning. The book can be used for undergraduate and graduate courses in material science, engineering, and physics, providing a versatile resource for both teaching and studying.
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