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Continued Fractions
This book presents the arithmetic and metrical theory of regular continued fractions and is intended to be a modern version of A. Ya. Khintchine's classic of the same title. Besides new and simpler proofs for many of the standard topics, numerous numerical examples and applications are included (the continued fraction of e, Ostrowski representations and t-expansions, period lengths of quadratic surds, the general Pell's equation, homogeneous and inhomogeneous diophantine approximation, Hall's theorem, the Lagrange and Markov spectra, asymmetric approximation, etc). Suitable for upper level undergraduate and beginning graduate students, the presentation is self-contained and the metrical results are developed as strong laws of large numbers.
The Square Root of 2
An elegantly dramatized and illustrated dialog on the square root of two and the whole concept of irrational numbers.
Probability and Measure
Praise for the Third Edition "It is, as far as I'm concerned, among the best books in math ever written....if you are a mathematician and want to have the top reference in probability, this is it." (Amazon.com, January 2006) A complete and comprehensive classic in probability and measure theory Probability and Measure, Anniversary Edition by Patrick Billingsley celebrates the achievements and advancements that have made this book a classic in its field for the past 35 years. Now re-issued in a new style and format, but with the reliable content that the third edition was revered for, this Anniversary Edition builds on its strong foundation of measure theory and probability with Billingsley's...
The Mathematical-Function Computation Handbook
This highly comprehensive handbook provides a substantial advance in the computation of elementary and special functions of mathematics, extending the function coverage of major programming languages well beyond their international standards, including full support for decimal floating-point arithmetic. Written with clarity and focusing on the C language, the work pays extensive attention to little-understood aspects of floating-point and integer arithmetic, and to software portability, as well as to important historical architectures. It extends support to a future 256-bit, floating-point format offering 70 decimal digits of precision. Select Topics and Features: references an exceptionally...
Pathways of Life
Revisiting the Jim Crow south, Pathways of Life explores the "I remembers" of one Black woman who comes of age during the time of massive resistance."Deloris Goins' memories of the mid-twentieth century in Charlottesville and Albemarle County, Virginia are as delicious and nourishing as the recipes within these pages. Through her own family history she reveals the transition from segregation to integration with candor and grace." --- Mary Motley Kalergis
Finite Mathematics and Applied Calculus
The Second Edition of this engaging text for the two-semester applied calculus and finite mathematics course uses intriguing, real-world applications to capture the interest of business, economics, life, and social science majors. This practical approach to mathematics, along with the integration of graphing calculators and Excel spreadsheet explorations, exposes students to the tools they will encounter in future careers. A wealth of pedagogy includes the following distinctive features: detailed Worked-out Examples with Annotations help students through more challenging concepts; Practice Problems are offered to help students check their understanding of concepts presented in the examples; ...
Two Millennia of Mathematics
A collection of inter-connected topics in areas of mathematics which particularly interest the author, ranging over the two millennia from the work of Archimedes to the "Werke" of Gauss. The book is intended for those who love mathematics, including undergraduate students of mathematics, more experienced students and the vast unseen host of amateur mathematicians. It is equally a useful source of material for those who teach mathematics.
Introduction to Experimental Mathematics
This text introduces students to an experimental approach to mathematics, using Maple to systematically investigate and develop mathematical theory.
