Ebook: Calculus Revisited

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.

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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.

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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.
Content:
Front Matter....Pages i-xi
Basics for Quantum Groups....Pages 1-49
Calculus and Algebra....Pages 51-83
Differential Calculi....Pages 85-122
More on Q-Analysis....Pages 123-165
Remarks on Quantum Transmutation....Pages 167-217
Discretization and Quantum Mechanics....Pages 219-256
Discrete Calculus....Pages 257-285
Fuzzy Physics and Matrix Geometry....Pages 287-325
Further Aspects of FQM....Pages 327-358
Integrable Systems....Pages 359-392
Aspects of Gauge Theory....Pages 393-440
Pointless Spaces and Quantum Gravity....Pages 441-483
Back Matter....Pages 485-509

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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.
Content:
Front Matter....Pages i-xi
Basics for Quantum Groups....Pages 1-49
Calculus and Algebra....Pages 51-83
Differential Calculi....Pages 85-122
More on Q-Analysis....Pages 123-165
Remarks on Quantum Transmutation....Pages 167-217
Discretization and Quantum Mechanics....Pages 219-256
Discrete Calculus....Pages 257-285
Fuzzy Physics and Matrix Geometry....Pages 287-325
Further Aspects of FQM....Pages 327-358
Integrable Systems....Pages 359-392
Aspects of Gauge Theory....Pages 393-440
Pointless Spaces and Quantum Gravity....Pages 441-483
Back Matter....Pages 485-509
....