© 2020

An Introductory Path to Quantum Theory

Using Mathematics to Understand the Ideas of Physics


Table of contents

  1. Front Matter
    Pages i-xxv
  2. Stephen Bruce Sontz
    Pages 1-4
  3. Stephen Bruce Sontz
    Pages 5-10
  4. Stephen Bruce Sontz
    Pages 11-16
  5. Stephen Bruce Sontz
    Pages 17-28
  6. Stephen Bruce Sontz
    Pages 29-35
  7. Stephen Bruce Sontz
    Pages 37-46
  8. Stephen Bruce Sontz
    Pages 47-51
  9. Stephen Bruce Sontz
    Pages 53-60
  10. Stephen Bruce Sontz
    Pages 61-84
  11. Stephen Bruce Sontz
    Pages 85-94
  12. Stephen Bruce Sontz
    Pages 95-119
  13. Stephen Bruce Sontz
    Pages 121-131
  14. Stephen Bruce Sontz
    Pages 133-148
  15. Stephen Bruce Sontz
    Pages 149-163
  16. Stephen Bruce Sontz
    Pages 165-167
  17. Stephen Bruce Sontz
    Pages 169-208
  18. Stephen Bruce Sontz
    Pages 209-212
  19. Stephen Bruce Sontz
    Pages 213-227
  20. Stephen Bruce Sontz
    Pages 229-236

About this book


Since the 17th century, physical theories have been expressed in the language of mathematical equations. This introduction to quantum theory uses that language to enable the reader to comprehend the notoriously non-intuitive ideas of quantum physics. 

The mathematical knowledge needed for using this book comes from standard undergraduate mathematics courses and is described in detail in the section Prerequisites. This text is especially aimed at advanced undergraduate and graduate students of mathematics, computer science, engineering and chemistry among other disciplines, provided they have the math background even though lacking preparation in physics. In fact, no previous formal study of physics is assumed.


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Authors and affiliations

  1. 1.Matemáticas BásicasCentro de Investigación en Matemáticas, A.C.GuanajuatoMexico

About the authors

Stephen Bruce Sontz received a Ph.D. from the University of Virginia with a dissertation in mathematical physics. He has published around 25 research articles in that field as well as two textbooks with Springer. These are "Quantum Principal Bundles, The Classical Case" and "Quantum Principal Bundles, The Quantum Case". He is a research professor at the Centro de Investigación en Matemáticas, A.C. (CIMAT) in Guanajuato, Mexico. He also teaches undergraduate courses in the Mathematics Department of the University of Guanajuato, where he has given courses using the material in this book. 

Bibliographic information

  • Book Title An Introductory Path to Quantum Theory
  • Book Subtitle Using Mathematics to Understand the Ideas of Physics
  • Authors Stephen Bruce Sontz
  • DOI
  • Copyright Information Springer Nature Switzerland AG 2020
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-3-030-40766-7
  • Softcover ISBN 978-3-030-40769-8
  • eBook ISBN 978-3-030-40767-4
  • Edition Number 1
  • Number of Pages XXV, 286
  • Number of Illustrations 1 b/w illustrations, 0 illustrations in colour
  • Topics Mathematical Physics
    Quantum Physics
  • Buy this book on publisher's site
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