Nuclear Mathematics: Simplifying Complex Equations in Reactor Physics

In summary, the conversation suggests that "Advanced Engineering Mathematics, 9th Edition" by Erwin Kreyszig may be helpful for understanding the complex mathematics involved in nuclear reactor physics. The book covers topics such as ordinary and partial differential equations, linear algebra, vector calculus, Fourier analysis, and numerical analysis. It can be purchased online or potentially found as a used textbook.
  • #1

saifadin

21
0
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
 
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  • #2
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.
 
  • #3
Do u have the link for this book?

Thaks...
but do u have the link for this book?
 
  • #4
Last edited by a moderator:

1. What is nuclear mathematics?

Nuclear mathematics is a branch of mathematics that deals with the application of mathematical principles in understanding and predicting the behavior of atomic nuclei and their interactions.

2. How is nuclear mathematics used in reactor physics?

Nuclear mathematics is used in reactor physics to simplify complex equations that describe the behavior of nuclear reactions in a nuclear reactor. This allows scientists and engineers to better understand and control the reactions taking place in the reactor.

3. What are some key concepts in nuclear mathematics?

Some key concepts in nuclear mathematics include nuclear reactions, radioactive decay, nuclear fission and fusion, and particle interactions within the nucleus.

4. What are some common applications of nuclear mathematics?

Nuclear mathematics has various applications, including in the design and operation of nuclear reactors, nuclear medicine, nuclear weapons, and nuclear waste management.

5. How can nuclear mathematics help in the development of new nuclear technologies?

Nuclear mathematics plays a crucial role in the development of new nuclear technologies by providing a mathematical foundation for understanding and predicting the behavior of nuclear reactions. This allows for the optimization of reactor designs and the development of new materials and processes for nuclear energy production.

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