REDUCE برای فیزیکدانان ۲۰۲۰
REDUCE for Physicists 2020

1. Cover

2. Half Title

3. Title Page

4. Copyright Page

5. Contents

6. Preface

7. Acknowledgments

1 A first look

1.1 Hands-on calculation, assignments and values

1.2 Looking back and making mistakes

1.3 A hands-on calculation; constant of motion

1.4 A programmed calculation; constant of motion

1.5 Changing the form of the output

1.6 Changes of variable

1.7 Setting values locally and globally

2 Some basic tasks

2.1 Integer and decimal arithmetic

2.2 Complex and modular arithmetic

2.3 Elementary transcendental functions

2.4 Integration

3 Linear algebraic equations

3.1 The solve command and lists

3.2 Dimensional analysis

4 Repetitive processes

4.1 Loops and procedures

4.2 A program to calculate Lagrangian equations

4.3 A program to calculate Poisson brackets

4.4 More on procedures; scalar and vector products

5 Determinants, polynomials and conditional statements

5.1 Stability, polynomials and determinants

5.2 An extension of the Lorenz model

5.3 Conditional statements

6 Non-commuting operators

6.1 Operators

6.2 Commutators for conserved vectors

6.3 Perturbation theory for a 1-dimensional oscillator

7 Harmonic balance

7.1 The harmonic balance method for nonlinear oscillators

7.2 Chebyshev polynomial method; arrays

7.3 Trigonometric expansion and contraction

7.4 Interference of for all . . . let . . . commands

7.5 Harmonic balance with elliptic functions

7.6 An example to illustrate the use of parts

8 The REDUCE-FORTRAN interface

8.1 Transferring results to a numerical program

8.2 The GENTRAN package

47. Appendices

48. A REDUCE 3.4

49. B An Application to Plasma Waves

50. References

51. Index