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    Exercises of Tensors
    Exercises of Tensors
    Exercises of Tensors
    Ebook47 pages12 minutes

    Exercises of Tensors

    By Simone Malacrida

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    About this ebook

    In this book, exercises are carried out regarding the following mathematical topics:
    transformation of tensors
    index rises and falls
    calculation of Christoffel symbols.
    Initial theoretical hints are also presented to make the conduct of the exercises understandable.

    LanguageEnglish
    PublisherSimone Malacrida
    Release dateDec 19, 2022
    ISBN9798215339145
    Exercises of Tensors
    Author

    Simone Malacrida

    Simone Malacrida (1977) Ha lavorato nel settore della ricerca (ottica e nanotecnologie) e, in seguito, in quello industriale-impiantistico, in particolare nel Power, nell'Oil&Gas e nelle infrastrutture. E' interessato a problematiche finanziarie ed energetiche. Ha pubblicato un primo ciclo di 21 libri principali (10 divulgativi e didattici e 11 romanzi) + 91 manuali didattici derivati. Un secondo ciclo, sempre di 21 libri, è in corso di elaborazione e sviluppo.

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      Book preview

      Exercises of Tensors - Simone Malacrida

      Exercises of Tensors

      SIMONE MALACRIDA

      In this book, exercises are carried out regarding the following mathematical topics:

      transformation of tensors

      index rises and falls

      calculation of Christoffel symbols.

      Initial theoretical hints are also presented to make the conduct of the exercises understandable.

      Simone Malacrida (1977)

      Engineer and writer, has worked on research, finance, energy policy and industrial plants.

      ANALYTICAL INDEX

      ––––––––

      INTRODUCTION

      ––––––––

      I – THEORETICAL OUTLINE

      Definitions

      Operations

      Particular tensors

      Application: general theory of relativity

      ––––––––

      II – EXERCISES

      Exercise 1

      Exercise 2

      Exercise 3

      Exercise 4

      Exercise 5

      Exercise 6

      Exercise 7

      Exercise 8

      Exercise 9

      Exercise 10

      INTRODUCTION

      In this workbook, some examples of tensor calculations are carried out.

      Furthermore, the main uses of these mathematical entities are presented in order to solve physical and technological problems.

      In fact, tensors play a decisive role in the physical understanding of mechanics and the intrinsic properties of matter (optics and electromagnetism), even if their most famous use remains that present in the theory of general relativity and in cosmological and astrophysical applications.

      In order to understand in more detail what is presented in

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