Quantum Calculus

  • Victor Kac
  • Pokman Cheung

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Victor Kac, Pokman Cheung
    Pages 1-4
  3. Victor Kac, Pokman Cheung
    Pages 5-6
  4. Victor Kac, Pokman Cheung
    Pages 12-13
  5. Victor Kac, Pokman Cheung
    Pages 17-20
  6. Victor Kac, Pokman Cheung
    Pages 29-32
  7. Victor Kac, Pokman Cheung
    Pages 33-34
  8. Victor Kac, Pokman Cheung
    Pages 35-36
  9. Victor Kac, Pokman Cheung
    Pages 37-42
  10. Victor Kac, Pokman Cheung
    Pages 43-46
  11. Victor Kac, Pokman Cheung
    Pages 47-49
  12. Victor Kac, Pokman Cheung
    Pages 50-55
  13. Victor Kac, Pokman Cheung
    Pages 56-59
  14. Victor Kac, Pokman Cheung
    Pages 64-66
  15. Victor Kac, Pokman Cheung
    Pages 67-72

About this book

Introduction

Simply put, quantum calculus is ordinary calculus without taking limits. This undergraduate text develops two types of quantum calculi, the q-calculus and the h-calculus. As this book develops quantum calculus along the lines of traditional calculus, the reader discovers, with a remarkable inevitability, many important notions and results of classical mathematics.
This book is written at the level of a first course in calculus and linear algebra and is aimed at undergraduate and beginning graduate students in mathematics, computer science, and physics. It is based on lectures and seminars given by Professor Kac over the last few years at MIT.
Victor Kac is Professor of Mathematics at MIT. He is an author of 4 books and over a hundred research papers. He was awarded the Wigner Medal for his work on Kac-Moody algebras that has numerous applications to mathematics and theoretical physics. He is a honorary member of the Moscow Mathematical Society.
Pokman Cheung graduated from MIT in 2001 after three years of undergraduate studies. He is presently a graduate student at Stanford University.

Keywords

Derivative Hypergeometric function Partition Quantum Calculus Quantum Groups calculus

Authors and affiliations

  • Victor Kac
    • 1
  • Pokman Cheung
    • 2
  1. 1.Department of MathematicsMITCambridgeUSA
  2. 2.Department of MathematicsStanford UniversityStanfordUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4613-0071-7
  • Copyright Information Springer-Verlag New York 2002
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-95341-0
  • Online ISBN 978-1-4613-0071-7
  • Series Print ISSN 0172-5939
  • Series Online ISSN 2191-6675
  • About this book