Front Cover; Contents; Preface; Acknowledgments; How to read this book; Part 1 -- A New Number Format: The Unum; Chapter 1 -- Overview; Chapter 2 -- Building up to the unum format; Chapter 3 -- The "original sin" of computer arithmetic; Chapter 4 -- The complete unum format; Chapter 5 -- Hidden scratchpads and the three layers; Chapter 6 -- Information per bit; Chapter 7 -- Fixed-size unum storage; Chapter 8 -- Comparison operations; Chapter 9 -- Add/subtract and the unbiased rounding myth; Chapter 10 -- Multiplication and division; Chapter 11 -- Powers; Chapter 12 -- Other important unary operations
Chapter 13 -- Fused operations (single-use expressions)Chapter 14 -- Trial runs: Unums face challenge calculations; Part 2 -- A New Way to Solve: The Ubox; Chapter 15 -- The other kind of error; Chapter 16 -- Avoiding interval arithmetic pitfalls; Chapter 17 -- What does it mean to "solve" an equation?; Chapter 18 -- Permission to guess; Chapter 19 -- Pendulums done correctly; Chapter 20 -- The two-body problem (and beyond); Chapter 21 -- Calculus considered evil: Discrete physics; Chapter 22 -- The end of error; Glossary; Appendix A -- Glossary of unum functions; Appendix B -- Glossary of ubox functions
Appendix C -- Algorithm listings for Part 1Appendix D -- Algorithm listings for Part 2; For further reading; Back Cover