This volume presents Professor Cohen's original interpretation of the revolution that marked the beginnings of modern science and set Newtonian science as the model for the highest level of achievement in other branches of science. It shows that Newton developed a special kind of relation between abstract mathematical constructs and the physical systems that we observe in the world around us by means of experiment and critical observation.
This new addition to the Math, Literature, and Nonfiction series helps teachers build on their students' natural passion for knowledge as they engage in real-world mathematical problem solving. The lessons in this book use nonfiction as a springboard to explore mathematical concepts key to the middle school curriculum. The lessons inspire students to collect and analyze data, use proportional reasoning, and explore probability, relationships between two-and three-dimensional objects, pi, and more.
Foundations of Cryptography: Volume 1, Basic Tools
Cryptography is concerned with the conceptualization, definition and construction of computing systems that address security concerns. This book presents a rigorous and systematic treatment of the foundational issues: defining cryptographic tasks and solving new cryptographic problems using existing tools. It focuses on the basic mathematical tools: computational difficulty (one-way functions), pseudorandomness and zero-knowledge proofs.
Stimulating treasury of entertaining tricks, stunts and magical effects based on such mathematical principles and ideas as magic squares, the Fibonacci Series, Moebius strips, cycloids, topology and more. Only simple props required: playing cards, matches, coins, etc. No magic or mathematical skills needed.
Mathematical Excursions: Side trips along paths not generally traveled in elementary courses in mathematics
Table of Contents: Introduction I. On Dividing II. Different Ways Of Writing Numbers III. Multiplying Without The Multiplication Table IV. Mostly On Squares