Single Digits: In Praise of Small Numbers, Chamberland Marc
Новое издание
Автор: Chamberland Marc Название: Single Digits: In Praise of Small Numbers ISBN: 0691175691 ISBN-13(EAN): 9780691175690 Издательство: Princeton UP Цена: 3669.00 р. Наличие на складе: Есть у поставщикаПоставка под заказ. Описание:
The remarkable properties of the numbers one through nine
In Single Digits, Marc Chamberland takes readers on a fascinating exploration of small numbers, from one to nine, looking at their history, applications, and connections to various areas of mathematics, including number theory, geometry, chaos theory, numerical analysis, and mathematical physics. For instance, why do eight perfect card shuffles leave a standard deck of cards unchanged? And, are there really six degrees of separation between all pairs of people? Chamberland explores these questions and covers vast numerical territory, such as illustrating the ways that the number three connects to chaos theory, the number of guards needed to protect an art gallery, problematic election results and so much more. The book's short sections can be read independently and digested in bite-sized chunks--especially good for learning about the Ham Sandwich Theorem and the Pizza Theorem. Appealing to high school and college students, professional mathematicians, and those mesmerized by patterns, this book shows that single digits offer a plethora of possibilities that readers can count on.
The information age owes its existence to a little-known but crucial development, the theoretical study of logic and the foundations of mathematics. The Great Formal Machinery Works draws on original sources and rare archival materials to trace the history of the theories of deduction and computation that laid the logical foundations for the digital revolution.
Jan von Plato examines the contributions of figures such as Aristotle; the nineteenth-century German polymath Hermann Grassmann; George Boole, whose Boolean logic would prove essential to programming languages and computing; Ernst Schr der, best known for his work on algebraic logic; and Giuseppe Peano, cofounder of mathematical logic. Von Plato shows how the idea of a formal proof in mathematics emerged gradually in the second half of the nineteenth century, hand in hand with the notion of a formal process of computation. A turning point was reached by 1930, when Kurt G del conceived his celebrated incompleteness theorems. They were an enormous boost to the study of formal languages and computability, which were brought to perfection by the end of the 1930s with precise theories of formal languages and formal deduction and parallel theories of algorithmic computability. Von Plato describes how the first theoretical ideas of a computer soon emerged in the work of Alan Turing in 1936 and John von Neumann some years later.
Shedding new light on this crucial chapter in the history of science, The Great Formal Machinery Works is essential reading for students and researchers in logic, mathematics, and computer science.
Автор: Milos Ercegovac, Tomas Lang Название: Digital Arithmetic ISBN: 1558607986 ISBN-13(EAN): 9781558607989 Издательство: Elsevier Science Рейтинг: Цена: 15999.00 р. Наличие на складе: Поставка под заказ.
Описание: Digital arithmetic plays an important role in the design of general-purpose digital processors and of embedded systems for signal processing, graphics, and communications. This book guides readers to develop solutions, avoid known mistakes, and repeat successful design decisions.
Описание: This book covers the basics of processing and spectral analysis of monovariate discrete-time signals. Prior advanced mathematical skills are not needed in order to understand the contents: a good command of basic mathematical analysis is sufficient.
Описание: Intends to bring together research directions in theoretical signal and imaging processing developed rather independently in electrical engineering, theoretical physics, mathematics and the computer sciences. This book summarizes work carried out in the field of theoretical signal and image processing.
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