MathMethodsVocab

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Contents 1 Math Methods Vocabulary 1.1 Suggested Terms 1.2 Table of Contents - Boaz: 1.3 Table of Contents - Arfken: 1.4 Table of Contents - Byron & Fuller: 1.5 Questions

Math Methods Vocabulary

Below are suggestions for a detailed vocabulary under the topic - General Physics/Mathematical Physics.

Suggested Terms

1. General
2. Series
3. Linear Algebra
4. Complex Variables
5. Vector Calculus & Coordinates
6. Fourier Series
7. Ordinary Differential Equations
8. Partial Differential Equations
9. Special Functions
10. Group Theory
11. Probability
12. Non-linear Equations

Table of Contents - Boaz:

1. Series
2. Complex Numbers
3. Linear Equations: Vectors & Matrices
4. Partial Differentiation
5. Multiple Integrals
6. Vector Analysis
7. Fourier Series
8. Ordinary Differential Equations
9. Calculus of Variations
10. Coordinate Transformations: Tensors
11. Gamma, Beta, Error Funcs; Asymptotic Series; Stirling; Elliptic Int.
12. Orthogonal Functions
13. Partial Differential Equations
14. Complex Variables
15. Integral Transforms
16. Probability

Table of Contents - Arfken:

1. Vector Analysis
2. Coordinate Systems
3. Determinants and Matrices
4. Group Theory
5. Series
6. Complex Variables
7. Differential Equations
8. Orthogonal Functions
9. Gamma, Bessel, Legendre, Special Functions
10. Fourier Series
11. Integral Transforms
12. Integral Equations
13. Calculus of Variations
14. Nonlinear Methods and Chaos

Table of Contents - Byron & Fuller:

1. Vectors
2. Calculus of Variations
3. Vectors & Matrices
4. Vector Spaces
5. Hilbert Space
6. Analytic Functions
7. Green’s Functions
8. Integral Functions
9. Integral Equations
10. Group Theory

Questions

1. Should we combine vector analysis (calculus) and coordinate systems?
2. Do we need non-linear equations (systems?) since we have a category under Modern Physics on this?
3. Do we need integral equations, differentiation, integrals, etc?