Nuclear Mathematics: Simplifying Complex Equations in Reactor Physics

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Discussion Overview

The discussion revolves around the complexities of nuclear mathematics, particularly in the context of reactor physics. Participants express challenges in understanding the mathematical concepts presented in "Nuclear Reactor Physics" and seek resources to aid their comprehension.

Discussion Character

  • Homework-related
  • Technical explanation

Main Points Raised

  • One participant inquires about resources that detail nuclear mathematics equations, indicating difficulties with the complexity of the material in "Nuclear Reactor Physics."
  • Another participant explains that nuclear reactor physics primarily involves transport theory and diffusion theory, which necessitate knowledge of partial differential equations and systems of equations.
  • A specific textbook, "Advanced Engineering Mathematics" by Erwin Kreyszig, is suggested as a potential resource, with a detailed breakdown of its chapters related to ordinary differential equations, linear algebra, vector calculus, and partial differential equations.
  • A request for a link to the suggested book is made by a participant.
  • A later reply provides a link to purchase the book online and suggests looking for used copies as an alternative.

Areas of Agreement / Disagreement

Participants generally agree on the complexity of the mathematics involved in nuclear reactor physics and the need for additional resources, but there is no consensus on the best approach to simplify these equations or the adequacy of the suggested textbook.

Contextual Notes

The discussion does not resolve the specific challenges faced by participants in understanding the mathematical concepts, nor does it clarify the applicability of the suggested textbook to their needs.

saifadin
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Is there any book that details the nuclear mathematics equations?
i am facing a problems in reading "Nuclear reactor physics", it contains complex mathematics.

B/R
 
Engineering news on Phys.org
Nuclear reactor physics involves primarily transport theory and it's simplification, diffusion theory, both of which require knowledge of partial differential equations and systems of equations.

Perhaps Advanced Engineering Mathematics, 9th Edition by Erwin Kreyszig would help.

PART A: ORDINARY DIFFERENTIAL EQUATIONS (ODE'S).
Chapter 1. First-Order ODE's.

Chapter 2. Second Order Linear ODE's.

Chapter 3. Higher Order Linear ODE's.

Chapter 4. Systems of ODE's Phase Plane, Qualitative Methods.

Chapter 5. Series Solutions of ODE's Special Functions.

Chapter 6. Laplace Transforms.

PART B: LINEAR ALGEBRA, VECTOR CALCULUS.

Chapter 7. Linear Algebra: Matrices, Vectors, Determinants: Linear Systems.

Chapter 8. Linear Algebra: Matrix Eigenvalue Problems.

Chapter 9. Vector Differential Calculus: Grad, Div, Curl.

Chapter 10. Vector Integral Calculus: Integral Theorems.

PART C: FOURIER ANALYSIS, PARTIAL DIFFERENTIAL EQUATIONS.

Chapter 11. Fourier Series, Integrals, and Transforms.

Chapter 12. Partial Differential Equations (PDE's).

Chapter 13. Complex Numbers and Functions.

Chapter 14. Complex Integration.

Chapter 15. Power Series, Taylor Series.

Chapter 16. Laurent Series: Residue Integration.

Chapter 17. Conformal Mapping.

Chapter 18. Complex Analysis and Potential Theory.

PART E: NUMERICAL ANALYSIS SOFTWARE.

Chapter 19. Numerics in General.

Chapter 20. Numerical Linear Algebra.

Chapter 21. Numerics for ODE's and PDE's.

PART F: OPTIMIZATION, GRAPHS.

Chapter 22. Unconstrained Optimization: Linear Programming.

Chapter 23. Graphs, Combinatorial Optimization.

PART G: PROBABILITY; STATISTICS.

Chapter 24. Data Analysis: Probability Theory.

Chapter 25. Mathematical Statistics.
 
Do u have the link for this book?

Thaks...
but do u have the link for this book?
 

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