| Java Number Cruncher: The Java Programmer's Guide to Numerical Computing By Ronald Mak | Table of Contents | | Chapter 1. Floating-Point Numbers Are Not Real! | References Chapra, Steven C., and Raymond P. Canale, Numerical Methods for Engineers , 3rd edition, New York: WCB/McGraw-Hill, 1998. Chapra uses a clever illustration to explain the differences between accuracy and precision on pages 59 C60. Hamming, Richard W., Numerical Methods for Scientists and Engineers , 2nd edition, New York: Dover, 1986. This text discusses the quadratic formula and how to rearrange formulas in general in Sections 3-1 through 3-5. Sterbenz, Pat H., Floating-Point Computation , Englewood Cliffs, NJ: Prentice-Hall, 1974. This entire book is on floating-point arithmetic. It proves that floating-point arithmetic fails certain laws of algebra in Section 1.6. |