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Table of content
Java Number Cruncher. The Java Programmer's Guide to Numerical Computing
Authors:
Mak R.
Published year: 2001
Pages: 1/141
Buy this book on amazon.com >>
1
2
9.4 Row Vector
9.5 Column Vector
9.6 Graphic Transformation Matrices
9.7 A Tumbling Cube in 3-D Space
References
Chapter 10. Solving Systems of Linear Equations
10.1 The Gaussian Elimination Algorithm
10.2 Problems with Gaussian Elimination
10.3 Partial Pivoting
10.4 Scaling
10.5 LU Decomposition
10.6 Iterative Improvement
10.7 A Class for Solving Systems of Linear Equations
10.8 A Program to Test LU Decomposition
10.9 Polynomial Regression
References
Chapter 11. Matrix Inversion, Determinants, and Condition Numbers
11.1 The Determinant
11.2 The Inverse
11.3 The Norm and the Condition Number
11.4 The Invertible Matrix Class
11.5 Hilbert Matrices
11.6 Comparing Solution Algorithms
References
Part IV: The Joys of Computation
Chapter 12. Big Numbers
12.1 Big Integers
12.2 A Very Large Prime Number
12.3 Big Integers and Cryptography
12.4 Big Decimal Numbers
12.5 Big Decimal Functions
References
Chapter 13. Computing p
13.1 Estimates of p and Ramanujan s Formulas
13.2 Arctangent Formulas That Generate p
13.3 Generating Billions of Digits
References
Chapter 14. Generating Random Numbers
14.1 Pseudorandom Numbers
14.2 Uniformly Distributed Random Numbers
14.3 Normally Distributed Random Numbers
14.4 Exponentially Distributed Random Numbers
14.5 Monte Carlo, Buffon s Needle, and p
References
Chapter 15. Prime Numbers
15.1 The Sieve of Eratosthenes and Factoring
15.2 Congruences and Modulo Arithmetic
15.3 The Lucas Test
15.4 The Miller-Rabin Test
15.5 A Combined Primality Tester
15.6 Generating Prime Numbers
15.7 Prime Number Patterns
References
Chapter 16. Fractals
16.1 Fixed-Point Iteration and Orbits
16.2 Bifurcation and the Real Function f(x)x2 c
16.3 Julia Sets and the Complex Function f(z)z2 c
16.4 Newton s Algorithm in the Complex Plane
16.5 The Mandelbrot Set
1
2
Java Number Cruncher. The Java Programmer's Guide to Numerical Computing
Authors:
Mak R.
Published year: 2001
Pages: 1/141
Buy this book on amazon.com >>
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