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Abstrak :
Tensor dapat dipandang sebagai multidimensional array, yang merupakan perluasan konsep dari matriks, sehingga dapat dikonstruksi bentuk umum dari hasil kali tensor yang sifatnya hampir sama dengan sifat perkalian pada matriks. Pada skripsi ini disajikan teori-teori yang digunakan seperti polinomial homogen, monomial berderajat alpha, dan resultan 2 polinomial untuk menjadi landasan teori utama dalam memahami determinan tensor. Tujuan dari skripsi ini adalah memperlihatkan dan memahami sifat-sifat determinan tensor. ......The tensor can be viewed as a multidimensional array, which is an extension of the concept of the matrix, so that the general form of the tensor result can be constructed which is almost the same as the multiplication property of the matrix. This undergraduate thesis presents the theories used such as homogeneous polynomials, monomial degrees of alpha, and resultant 2 polynomials to form the basis of the main theory in understanding tensor determinants. The purpose of this paper is to show the properties of tensor determinants.

Abstrak :
This is the fifth and revised edition of a well-received textbook that aims at bridging the gap between the engineering course of tensor algebra on the one hand and the mathematical course of classical linear algebra on the other hand. In accordance with the contemporary way of scientific publication, a modern absolute tensor notation is preferred throughout. The book provides a comprehensible exposition of the fundamental mathematical concepts of tensor calculus and enriches the presented material with many illustrative examples. As such, this new edition also discusses such modern topics of solid mechanics as electro- and magnetoelasticity. In addition, the book also includes advanced chapters dealing with recent developments in the theory of isotropic and anisotropic tensor functions and their applications to continuum mechanics. Hence, this textbook addresses graduate students as well as scientists working in this field and in particular dealing with multi-physical problems. In each chapter numerous exercises are included, allowing for self-study and intense practice. Solutions to the exercises are also provided.