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A Geometric Algebra Invitation to Space-Time Physics, Robotics and Molecular Geometry

  • Carlile Lavor
  • Sebastià Xambó-Descamps
  • Isiah Zaplana

Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Table of contents

  1. Front Matter
    Pages i-x
  2. Carlile Lavor, Sebastià Xambó-Descamps, Isiah Zaplana
    Pages 1-32
  3. Carlile Lavor, Sebastià Xambó-Descamps, Isiah Zaplana
    Pages 33-51
  4. Carlile Lavor, Sebastià Xambó-Descamps, Isiah Zaplana
    Pages 53-73
  5. Carlile Lavor, Sebastià Xambó-Descamps, Isiah Zaplana
    Pages 75-100
  6. Carlile Lavor, Sebastià Xambó-Descamps, Isiah Zaplana
    Pages 101-116
  7. Back Matter
    Pages 117-128

About this book

Introduction

This book offers a gentle introduction to key elements of Geometric Algebra, along with their applications in Physics, Robotics and Molecular Geometry. Major applications covered are the physics of space-time, including Maxwell electromagnetism and the Dirac equation; robotics, including formulations for the forward and inverse kinematics and an overview of the singularity problem for serial robots; and molecular geometry, with 3D-protein structure calculations using NMR data. The book is primarily intended for graduate students and advanced undergraduates in related fields, but can also benefit professionals in search of a pedagogical presentation of these subjects.

Keywords

geometric algebra projective geometry conformal geometrical algebra Lorentz transformations Maxwell’s equations Dirac equation robot kinematics inverse kinematics molecular geometry distance geometry NMR data 3D protein structures Clifford algebra

Authors and affiliations

  • Carlile Lavor
    • 1
  • Sebastià Xambó-Descamps
    • 2
  • Isiah Zaplana
    • 3
  1. 1.Department of Applied Maths (IMECC-UNICAMP)University of CampinasCampinasBrazil
  2. 2.Departament de MatemàtiquesUniversitat Politècnica de CatalunyaBarcelonaSpain
  3. 3.Institut d’Org. i Control de Sist. Ind.Universitat Politècnica de CatalunyaBarcelonaSpain

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-90665-2
  • Copyright Information The Author(s), under exclusive licence to Springer International Publishing AG, part of Springer Nature 2018
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-90664-5
  • Online ISBN 978-3-319-90665-2
  • Series Print ISSN 2191-8198
  • Series Online ISSN 2191-8201
  • Buy this book on publisher's site