Tensors for Scientists : A Mathematical Introduction / by Ana Cannas da Silva, Özlem Imamoğlu, Alessandra Iozzi.

Format:

Book

Author/Creator:

Silva, Ana Cannas da.

Contributor:

Imamoğlu, Özlem.

Iozzi, Alessandra.

Series:

Compact Textbooks in Mathematics, 2296-455X

Language:

English

Subjects (All):

Algebras, Linear.

Mathematical physics.

Mathematics.

Linear Algebra.

Mathematical Physics.

Applications of Mathematics.

Local Subjects:

Linear Algebra.

Mathematical Physics.

Applications of Mathematics.

Physical Description:

1 online resource (248 pages)

Edition:

1st ed. 2025.

Place of Publication:

Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2025.

Summary:

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.

Contents:

- 1. Introduction

2. Review of Linear Algebra

3. Multilinear Forms

4. Inner Products

5. Tensors

6. Some Physical Tensors

7. Solutions to Exercises.

Notes:

Description based on publisher supplied metadata and other sources.

ISBN:

3-031-94136-5

OCLC:

1537947919