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Java Number Cruncher : The Java Programmer's Guide to Numerical Computing by Ronald Mak (2002, Trade Paperback)

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About this product

Product Information

Java Number Cruncher: The Java Programmer's Guide to Numerical Computing , by topic expert Ronald Mak, provides practical information for Java programmers who write mathematical programs. Without excessive mathematical theory, he animates the algorithms on the computer screen with interactive graphical programs and applets.

Product Identifiers

Publisher
Prentice Hall PTR
ISBN-10
0130460419
ISBN-13
9780130460417
eBay Product ID (ePID)
2305209

Product Key Features

Author
Ronald Mak
Publication Name
Java Number Cruncher : the Java Programmer's Guide to Numerical Computing
Format
Trade Paperback
Language
English
Publication Year
2002
Type
Textbook
Number of Pages
480 Pages

Dimensions

Item Length
7in
Item Height
1.3in
Item Width
9.2in
Item Weight
27.2 Oz

Additional Product Features

Lc Classification Number
Qa76.73.J38m335 2003
Table of Content
Preface. How to Download the Source Code. I. WHY GOOD COMPUTATIONS GO BAD. 1. Floating-Point Numbers Are Not Real! Roundoff Errors. Error Explosion. Real Numbers versus Floating-Point Numbers. Precision and Accuracy. Disobeying the Laws of Algebra. And What about Those Integers? 2. How Wholesome Are the Integers? The Integer Types and Operations. Signed Magnitude versus Two's-Complement. Whole Numbers versus Integer Numbers. Wrapper Classes. Integer Division and Remainder. Integer Exponentiation. 3. The Floating-Point Standard. The Floating-Point Formats. Denormalized Numbers. Decomposing Floating-Point Numbers. The Floating-Point Operations. 60, 6', and NaN. No Exceptions! Another Look at Roundoff Errors. Strict or Nonstrict Floating-Point Arithmetic. The Machine Epsilon e. Error Analysis. II. ITERATIVE COMPUTATIONS. 4. Summing Lists of Numbers. A Summing Mystery-the Magnitude Problem. The Kahan Summation Algorithm. Summing Numbers in a Random Order. Summing Addends with Different Signs. Insightful Computing. Summation Summary. 5. Finding Roots. Analytical versus Computer Solutions. The Functions. The Bisection Algorithm. The Regula Falsi Algorithm. The Improved Regula Falsi Algorithm. The Secant Algorithm. Newton's Algorithm. Fixed-Point Iteration. Double Trouble with Multiple Roots. Comparing the Root-Finder Algorithms. 6. Interpolation and Approximation. The Power Form versus the Newton Form. Polynomial Interpolation Functions. Divided Differences. Constructing the Interpolation Function. Least-Squares Linear Regression. Constructing the Regression Line. 7. Numerical Integration. Back to Basics. The Trapezoidal Algorithm. Simpson's Algorithm. 8. Solving Differential Equations Numerically. Back to Basics. A Differential Equation Class. Euler's Algorithm. A Predictor-Corrector Algorithm. The Fourth-Order Runge-Kutta Algorithm. III. A MATRIX PACKAGE. 9. Basic Matrix Operations. Matrix. Square Matrix. Identity Matrix. Row Vector. Column Vector. Graphic Transformation Matrices. A Tumbling Cube in 3-D Space. 10. Solving Systems of Linear Equations. The Gaussian Elimination Algorithm. Problems with Gaussian Elimination. Partial Pivoting. Scaling. LU Decomposition. Iterative Improvement. A Class for Solving Systems of Linear Equations. A Program to Test LU Decomposition. Polynomial Regression. 11. Matrix Inversion, Determinants, and Condition Numbers. The Determinant. The Inverse. The Norm and the Condition Number. The Invertible Matrix Class. Hilbert Matrices. Comparing Solution Algorithms. IV. THE JOYS OF COMPUTATION. 12. Big Numbers. Big Integers. A Very Large Prime Number. Big Integers and Cryptography. Big Decimal Numbers. Big Decimal Functions. 13. Computing p. Estimates of p and Ramanujan's Formulas. Arctangent Formulas That Generate p. Generating Billions of Digits. 14. Generating Random Numbers. Pseudorandom Numbers. Uniformly Distributed Random Numbers. Normally Distributed Random Numbers. Exponentially Distributed Random Numbers. Monte Carlo, Buffon's Needle, and p. 15. Prime Numbers. The Sieve of Eratosthenes and Factoring. Congruences and Modulo Arithmetic. The Lucas Test. The Miller-Rabin Test. A Combined Primality Tester. Generating Prime Numbers. Prime Number Patterns. 16. Fractals. Fixed-Point Iteration and Orbits. Bifurcation and the Real Function f(x) 5 x2 1 c. Julia Sets and the Complex Function f(z) 5 z2 1 c. Newton's Algorithm in the Complex Plane. The Mandelbrot Set. Index.
Copyright Date
2003
Target Audience
Scholarly & Professional
Topic
Programming Languages / Java, Numerical Analysis, Computer Science
Lccn
2002-032956
Dewey Decimal
005.13/3
Dewey Edition
21
Illustrated
Yes
Genre
Computers, Mathematics

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item 1 Java Number Cruncher: The Java Programmer's Guide to Numerical Computing
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Java Number Cruncher : The Java Programmer's Guide to Numerical Computing by Ronald Mak (2002, Trade Paperback)

About this product

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Product Identifiers

Product Key Features

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All listings for this product

item 1 Java Number Cruncher: The Java Programmer's Guide to Numerical Computing

item 2 JAVA NUMBER CRUNCHER: THE JAVA PROGRAMMER'S GUIDE TO By Ronald Mak Excellent

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