Education and training for students with a BS in mathematics, physics, engineering, or a comparable program for careers in science and industry as well as for further graduate study in the area of physically based computational mathematical modeling and data analysis. It stresses fundamentals and applications equally. Students will learn how to model, analyze and solve problems from science and engineering using advanced methods from linear algebra, differential equations, and computational mathematics.
Tensor Analysis, Heinz Schade, Klaus Neemann, Translated by Andrea Dziubek, Edmond Rusjan,
De Gruyter, 2018, ISBN 978-3-11-040426-5.
(i) Publisher Web Page,
(ii) from Amazon,
(iii) German version with German reviews,
(iv) among the top five goodreads on Tensor Analysis.
Tensor calculus is a prerequisite for many tasks in physics and engineering. This book introduces the symbolic and the index notation side by side and offers easy access to techniques in the field by focusing on algorithms in index notation. It explains the required algebraic tools and contains numerous exercises with answers, making it suitable for self study for students and researchers in areas such as solid mechanics, fluid mechanics, and electrodynamics.
Contents: Algebraic Tools, Tensor Analysis in Symbolic Notation and in Cartesian Coordinates, Algebra of Second Order Tensors, Tensor Analysis in Curvilinear Coordinates, Representation of Tensor Functions. Appendices: Solutions to the Problems; Cylindrical Coordinates and Spherical Coordinates.
Many phenomena in physical, engineering, and biological systems are modeled by elastic shells. Structure preserving algorithms proved to be extremely useful in a variety of applications, for example in classicaleld theory, plasma physics, or computer vision and graphics. However, similar discretization schemes for shell elasticity are yet to be designed.A. Dziubek, M. Karow, R. Lowry, S. Sadik, C. Stoica, E. Rusjan