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masse r vectors tensors physical fields 7ed 2021

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Textbook in PDF format Much of what is now considered applied mathematics was developed in an effort to model the physical fields and forces of our Universe. A prime motivation for the development of vector and tensor concepts has certainly been the desire to better represent gravitational and electromagnetic fields. Physical fields are not merely useful concepts in physics. Physical fields exist in reality. In fact, the fundamental forces present in our Universe act through such fields. It is these fields that form the foundation for the laws of physics. To understand the basis of physics then, it is necessary to represent physical fields mathematically so that actions of these fields can be described and predicted. Vector and tensor analysis techniques are powerful mathematical procedures consisting of entities and operations useful for representing properties of physical fields. The intent of this book is to provide the necessary information so that the full power of vector and tensor analysis is available for application to the study of physical fields. Analysis techniques for vectors and tensors are provided in this book. The mathematical knowledge assumed as a prerequisite is that of шntroductory level calculus. While several approaches are available for the study of vector and tensor analysis, the approach taken in this book is the one thought to offer the best physical insight. By making full use of vector and tensor components and of their transformations, the relation of vectors and tensors to reality is emphasized. The material in this book is organized and presented in a manner designed to make this a comprehensive reference work on vectors and tensors. While many example problems are provided in this book, rigorous mathematical proofs are avoided since this is an applied mathematics book. Most of the sources for this book are given in the references at the end of the book. The research that forms the foundation of this book could not have been accomplished without the outstanding interlibrary loan programs of Florida made available through the good resources of the Lee County Library System and the Tampa Bay Library Consortium. I am very grateful to the personnel at the Bonita Springs and Fort Myers Public Libraries, and to the personnel at the Fort Myers Beach Library for all their diligent efforts in obtaining research material

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Masse R. Vectors and Tensors of Physical Fields 7ed 2021.pdf 63.2 MB

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masse r vectors tensors physical fields 7ed 2021

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