General Quantum Numerical Analysis
eBook - ePub

General Quantum Numerical Analysis

  1. 370 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

General Quantum Numerical Analysis

About this book

This book is focused on the qualitative theory of general quantum calculus, the modern name for the investigation of calculus without limits. It centers on designing, analysing and applying computational techniques for general quantum differential equations.

The quantum calculus or q-calculus began with F.H. Jackson in the early twentieth century, but this kind of calculus had already been worked out by Euler and Jacobi. Recently, it has aroused interest due to high demand of mathematics that models quantum computing and the connection between mathematics and physics.

Quantum calculus has many applications in different mathematical areas such as number theory, combinatorics, orthogonal polynomials, basic hyper-geometric functions and other sciences such as quantum theory, mechanics and the theory of relativity.

The authors summarize the most recent contributions in this area. General Quantum Numerical Analysis is intended for senior undergraduate students and beginning graduate students of engineering and science courses. The twelve chapters in this book are pedagogically organized, each concluding with a section of practical problems.

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Yes, you can access General Quantum Numerical Analysis by Svetlin G. Georgiev,Khaled Zennir in PDF and/or ePUB format, as well as other popular books in Mathematik & Mathematik Allgemein. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover Page
  2. Half-Title Page
  3. Series Page
  4. Title Page
  5. Copyright Page
  6. Contents
  7. Preface
  8. 1 General Quantum Differentiation
  9. 2 General Quantum Integration
  10. 3 β-Elementary Functions
  11. 4 General Quantum Polynomial Interpolation
  12. 5 Numerical β-Integration
  13. 6 Piecewise Polynomial Approximation
  14. 7 The Euler Method
  15. 8 The Order-Two Taylor Series Method-TS(2)
  16. 9 The Order-p Taylor Series Method-TS(p)
  17. 10 Linear Multistep Methods-LMMs
  18. 11 Runge-Kutta Methods-RMMs
  19. 12 The Adomian Polynomials Method
  20. Bibliography
  21. Index