Author: Giancarlo Bernacchi Publisher: Lulu.com ISBN: 1326230972 Category : Calculus of tensors Languages : en Pages : 184
Book Description
--New September 2019 revised edition --A friendly and non-formal approach to a subject of abstract mathematics that has important applications in physics, especially in General Relativity, but also in other fields. The purpose of the book is mainly didactic and requires a minimum of mathematical background (calculus, partial derivatives included). See also enlarged edition ""Tensors made easy with SOLVED PROBLEMS""
Author: Giancarlo Bernacchi Publisher: Lulu.com ISBN: 1326292536 Category : Calculus of tensors Languages : en Pages : 302
Book Description
-- New MARCH 2021 REVISED RELEASE -- A friendly and non-formal approach to a subject of abstract mathematics that has important applications in physics, especially in General Relativity, but also in other fields. The purpose of the book is mainly didactic and requires some mathematical background (differential calculus, partial derivatives included).
Author: Taha Sochi Publisher: Createspace Independent Publishing Platform ISBN: 9781541013636 Category : Languages : en Pages : 170
Book Description
This book is about tensor analysis. It consists of 169 pages. The language and method used in presenting the ideas and techniques of tensors make it very suitable as a textbook or as a reference for an introductory course on tensor algebra and calculus or as a guide for self-studying and learning.
Author: Taha Sochi Publisher: Taha Sochi ISBN: Category : Mathematics Languages : en Pages : 91
Book Description
This book contains the detailed solutions of all the exercises of my book: Tensor Calculus Made Simple. The solutions are generally very detailed and hence they are supposed to provide some sort of revision for the subject topic.
Author: Taha Sochi Publisher: Taha Sochi ISBN: Category : Mathematics Languages : en Pages : 171
Book Description
This book is about tensor calculus. The language and method used in presenting the ideas and techniques of tensor calculus make it very suitable for learning this subject by the beginners who have not been exposed previously to this elegant branch of mathematics. Considerable efforts have been made to reduce the dependency on foreign texts by summarizing the main concepts needed to make the book self-contained. The book also contains a significant number of high-quality graphic illustrations to aid the readers and students in their effort to visualize the ideas and understand the abstract concepts. Furthermore, illustrative techniques, such as coloring and highlighting key terms by boldface fonts, have been employed. The book also contains extensive sets of exercises which cover most of the given materials. These exercises are designed to provide thorough revisions of the supplied materials. The solutions of all these exercises are provided in a companion book. The book is also furnished with a rather detailed index and populated with hyperlinks, for the ebook users, to facilitate referencing and connecting related subjects and ideas.
Author: James G. Simmonds Publisher: Springer Science & Business Media ISBN: 1441985220 Category : Mathematics Languages : en Pages : 124
Book Description
In this text which gradually develops the tools for formulating and manipulating the field equations of Continuum Mechanics, the mathematics of tensor analysis is introduced in four, well-separated stages, and the physical interpretation and application of vectors and tensors are stressed throughout. This new edition contains more exercises. In addition, the author has appended a section on Differential Geometry.
Author: David Lovelock Publisher: Courier Corporation ISBN: 048613198X Category : Mathematics Languages : en Pages : 402
Book Description
Incisive, self-contained account of tensor analysis and the calculus of exterior differential forms, interaction between the concept of invariance and the calculus of variations. Emphasis is on analytical techniques. Includes problems.
Author: A. I. Borisenko Publisher: Courier Corporation ISBN: 0486131904 Category : Mathematics Languages : en Pages : 292
Book Description
Concise, readable text ranges from definition of vectors and discussion of algebraic operations on vectors to the concept of tensor and algebraic operations on tensors. Worked-out problems and solutions. 1968 edition.
Author: Emil de Souza Sánchez Filho Publisher: Springer ISBN: 331931520X Category : Technology & Engineering Languages : en Pages : 370
Book Description
This textbook provides a rigorous approach to tensor manifolds in several aspects relevant for Engineers and Physicists working in industry or academia. With a thorough, comprehensive, and unified presentation, this book offers insights into several topics of tensor analysis, which covers all aspects of n-dimensional spaces. The main purpose of this book is to give a self-contained yet simple, correct and comprehensive mathematical explanation of tensor calculus for undergraduate and graduate students and for professionals. In addition to many worked problems, this book features a selection of examples, solved step by step. Although no emphasis is placed on special and particular problems of Engineering or Physics, the text covers the fundamentals of these fields of science. The book makes a brief introduction into the basic concept of the tensorial formalism so as to allow the reader to make a quick and easy review of the essential topics that enable having the grounds for the subsequent themes, without needing to resort to other bibliographical sources on tensors. Chapter 1 deals with Fundamental Concepts about tensors and chapter 2 is devoted to the study of covariant, absolute and contravariant derivatives. The chapters 3 and 4 are dedicated to the Integral Theorems and Differential Operators, respectively. Chapter 5 deals with Riemann Spaces, and finally the chapter 6 presents a concise study of the Parallelism of Vectors. It also shows how to solve various problems of several particular manifolds.
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Author: Giancarlo Bernacchi
Author: Giancarlo Bernacchi
Author: Taha Sochi
Author: Taha Sochi
Author: Taha Sochi
Author: James G. Simmonds
Author: Giancarlo Bernacchi
Author: David Lovelock
Author: A. I. Borisenko
Author: Emil de Souza Sánchez Filho