Wyniki wyszukiwania:

Elliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics--the Birch and Swinnerton-Dyer Conjecture. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.

The key to the conjecture lies in elliptic curves, which may appear simple, but arise from some very deep--and often very mystifying--mathematical ideas. Using only basic algebra and calculus while presenting numerous eye-opening examples, Ash and Gross make...

Nanoneuroscience is the study of computationally relevant biomolecules found inside neurons. Because of recent technological advances at the nanometer scale, scientists have at their disposal increasingly better ways to study the brain and the biophysics of its molecules. This book describes how biomolecules contribute to the operations of synapses and perform other computationally relevant functions inside dendrites. These biomolecular operations considerably expand the brain-computer analogy - endowing each neuron with the processing power of a silicon-based multiprocessor. Amazingly,...

This volume represents a first in its analysis of historical trends in the humor of eight Western countries: Australia, Belgium, France, Great Britain, Israel, Italy, the United States, and Yugoslavia. In each country, the authors surveyed and assessed the national humor in a way designed to facilitate comparative study. Each essay details the historical development of national humor with an emphasis on the twentieth century and contemporary trends. The survey includes traditional and popular forms of humor as well as humor in literature, the performing and visual arts, and the mass media....

We use addition on a daily basis--yet how many of us stop to truly consider the enormous and remarkable ramifications of this mathematical activity? Summing It Up uses addition as a springboard to present a fascinating and accessible look at numbers and number theory, and how we apply beautiful numerical properties to answer math problems. Mathematicians Avner Ash and Robert Gross explore addition's most basic characteristics as well as the addition of squares and other powers before moving onward to infinite series, modular forms, and issues at the forefront of current mathematical...