The Theoretic Arithmetic of the Pythagoreans
Author | : Thomas Taylor |
Publisher | : Health Research Books |
Total Pages | : 314 |
Release | : 2006-06 |
Genre | : Philosophy |
ISBN | : 9780787314064 |
An Adventurer's Guide to Number Theory
Author | : Richard Friedberg |
Publisher | : Courier Corporation |
Total Pages | : 241 |
Release | : 2012-07-06 |
Genre | : Mathematics |
ISBN | : 0486152693 |
This witty introduction to number theory deals with the properties of numbers and numbers as abstract concepts. Topics include primes, divisibility, quadratic forms, and related theorems.
Number Theory
Author | : George E. Andrews |
Publisher | : Courier Corporation |
Total Pages | : 292 |
Release | : 2012-04-30 |
Genre | : Mathematics |
ISBN | : 0486135101 |
Undergraduate text uses combinatorial approach to accommodate both math majors and liberal arts students. Covers the basics of number theory, offers an outstanding introduction to partitions, plus chapters on multiplicativity-divisibility, quadratic congruences, additivity, and more.
Graph Theoretic Methods in Multiagent Networks
Author | : Mehran Mesbahi |
Publisher | : Princeton University Press |
Total Pages | : 424 |
Release | : 2010-07-01 |
Genre | : Mathematics |
ISBN | : 1400835356 |
This accessible book provides an introduction to the analysis and design of dynamic multiagent networks. Such networks are of great interest in a wide range of areas in science and engineering, including: mobile sensor networks, distributed robotics such as formation flying and swarming, quantum networks, networked economics, biological synchronization, and social networks. Focusing on graph theoretic methods for the analysis and synthesis of dynamic multiagent networks, the book presents a powerful new formalism and set of tools for networked systems. The book's three sections look at foundations, multiagent networks, and networks as systems. The authors give an overview of important ideas from graph theory, followed by a detailed account of the agreement protocol and its various extensions, including the behavior of the protocol over undirected, directed, switching, and random networks. They cover topics such as formation control, coverage, distributed estimation, social networks, and games over networks. And they explore intriguing aspects of viewing networks as systems, by making these networks amenable to control-theoretic analysis and automatic synthesis, by monitoring their dynamic evolution, and by examining higher-order interaction models in terms of simplicial complexes and their applications. The book will interest graduate students working in systems and control, as well as in computer science and robotics. It will be a standard reference for researchers seeking a self-contained account of system-theoretic aspects of multiagent networks and their wide-ranging applications. This book has been adopted as a textbook at the following universities: ? University of Stuttgart, Germany Royal Institute of Technology, Sweden Johannes Kepler University, Austria Georgia Tech, USA University of Washington, USA Ohio University, USA
Three Dimensions
Author | : A. Treffers |
Publisher | : Springer Science & Business Media |
Total Pages | : 360 |
Release | : 2012-12-06 |
Genre | : Education |
ISBN | : 9400937075 |
In Dutch "WISKOBAS" stands for a particular kind of mathematics in the elementary school (ages 6-12). In tum Wiskobas was one of the depart ments in the IOWO, the Institute for the Development of Mathematics Education. This institute was concerned with the development of material for mathematics education as well as the related research on the possibility of change from the then existing arithmetic instruction to the future mathematics education. The present publication Three Dimensions has three aims: to give a picture of the goals Wiskobas set for future mathematics education, at the same time to show how such goals can be described, and to show the theoretical framework of the Wiskobas curriculum. The problem at hand is not at all simple. What is more, Wiskobas' ideas about mathematics education cannot literally be translated into strings of words. So how can we face the accusation that our objectives are unattain able and the goal itself irrational? In order to avoid this vagueness as much as possible and for the sake of clarity, this book makes continuous use of illustrations of mathematics education. In these examples both the subject-matter and the methods of description of the goals are illustrated as explicitly as possible, while at the same time creating the opportunity to read between the lines. The reader is urged to follow carefully the mathe matical material at the start of each chapter. This advice applies both to the more general education oriented, and to the more mathematical! didactical reader.
Excursions in Number Theory
Author | : Charles Stanley Ogilvy |
Publisher | : Courier Corporation |
Total Pages | : 196 |
Release | : 1988-01-01 |
Genre | : Mathematics |
ISBN | : 9780486257785 |
Challenging, accessible mathematical adventures involving prime numbers, number patterns, irrationals and iterations, calculating prodigies, and more. No special training is needed, just high school mathematics and an inquisitive mind. "A splendidly written, well selected and presented collection. I recommend the book unreservedly to all readers." — Martin Gardner.