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Calculus Revisited

  • Book
  • © 2002

Overview

Authors:
  1. Robert W. Carroll

    1. Mathematics Department, University of Illinois, Urbana, USA

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Part of the book series: Mathematics and Its Applications (MAIA, volume 554)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xi
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  2. Basics for Quantum Groups

    • Robert W. Carroll
    Pages 1-49

  3. Calculus and Algebra

    • Robert W. Carroll
    Pages 51-83

  4. Differential Calculi

    • Robert W. Carroll
    Pages 85-122

  5. More on Q-Analysis

    • Robert W. Carroll
    Pages 123-165

  6. Remarks on Quantum Transmutation

    • Robert W. Carroll
    Pages 167-217

  7. Discretization and Quantum Mechanics

    • Robert W. Carroll
    Pages 219-256

  8. Discrete Calculus

    • Robert W. Carroll
    Pages 257-285

  9. Fuzzy Physics and Matrix Geometry

    • Robert W. Carroll
    Pages 287-325

  10. Further Aspects of FQM

    • Robert W. Carroll
    Pages 327-358

  11. Integrable Systems

    • Robert W. Carroll
    Pages 359-392

  12. Aspects of Gauge Theory

    • Robert W. Carroll
    Pages 393-440

  13. Pointless Spaces and Quantum Gravity

    • Robert W. Carroll
    Pages 441-483

  14. Back Matter

    Pages 485-509
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Keywords

About this book

In this book the details of many calculations are provided for access to work in quantum groups, algebraic differential calculus, noncommutative geometry, fuzzy physics, discrete geometry, gauge theory, quantum integrable systems, braiding, finite topological spaces, some aspects of geometry and quantum mechanics and gravity.

Authors and Affiliations

  • Mathematics Department, University of Illinois, Urbana, USA

    Robert W. Carroll

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