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Algorithmic Number Theory
An introduction to number theory for beginning graduate students with articles by the leading experts in the field.
Classical and Quantum Models and Arithmetic Problems
Here is an unsurpassed resource-important accounts of a variety of dynamic systems topicsrelated to number theory. Twelve distinguished mathematicians present a rare complete analyticsolution of a geodesic quantum problem on a negatively curved surface ... and explicitdetermination of modular function growth near a real point .. . applications of number theoryto dynamical systems and applications of mathematical physics to number theory . ..tributes to the often-unheralded pioneers in the field ... an examination of completely integrableand exactly solvable physical models .. . and much more!Classical and Quantum Models and Arithmetic Problems is certainly a major source of information,advancing the studies of number theorists, algebraists, and mathematical physicistsinterested in complex mathematical properties of quantum field theory, statistical mechanics,and dynamic systems. Moreover, the volume is a superior source of supplementary readingfor graduate-level courses in dynamic systems and application of number theory .
Emerging Applications of Number Theory
Most people tend to view number theory as the very paradigm of pure mathematics. With the advent of computers, however, number theory has been finding an increasing number of applications in practical settings, such as in cryptography, random number generation, coding theory, and even concert hall acoustics. Yet other applications are still emerging - providing number theorists with some major new areas of opportunity. The 1996 IMA summer program on Emerging Applications of Number Theory was aimed at stimulating further work with some of these newest (and most attractive) applications. Concentration was on number theory's recent links with: (a) wave phenomena in quantum mechanics (more specifically, quantum chaos); and (b) graph theory (especially expander graphs and related spectral theory). This volume contains the contributed papers from that meeting and will be of interest to anyone intrigued by novel applications of modern number-theoretical techniques.
Computational Number Theory
Developed from the author's popular graduate-level course, Computational Number Theory presents a complete treatment of number-theoretic algorithms. Avoiding advanced algebra, this self-contained text is designed for advanced undergraduate and beginning graduate students in engineering. It is also suitable for researchers new to the field and pract
Constructive, Experimental, and Nonlinear Analysis
Presents 20 papers on different aspects of modern analysis including analytic and computational number theory, symbolic and numerical computation, theoretical and computational optimization, and recent development in non-smooth and functional analysis with applications to control theory. Applications in algorithmic number theory and tomography are also discussed. Many of the papers originated at a September 1999 workshop held at the University of Limoges. Among the topics are vector-valued perturbed minimization principles; rotundity related to Lipschitz separation; continued fractions, comparison algorithms, and fine structure constants; and codirectional compactness, metric regularity, and subdifferential calculus. No index. Annotation copyrighted by Book News, Inc., Portland, OR
先进磁性材料的纳米尺寸效应(21世纪科技前沿丛书先进磁性材料手册第1卷)
本书共分四卷,第一卷集中论述一个具体的研究领域。每一章首先对该章的基本概念和重要观念进行阐述,然后从实验和理论方面进行详细的说明,最后介绍该领域的发展前景以及新的思想。
Handbook of Advanced Magnetic Materials
In December 2002, the world's first commercial magnetic levitation super-train went into operation in Shanghai. The train is held just above the rails by magnetic levitation (maglev) and can travel at a speed of 400 km/hr, completing the 30km journey from the city to the airport in minutes. Now consumers are enjoying 50 GB hard drives compared to 0.5 GB hard drives ten years ago. Achievements in magnetic materials research have made dreams of a few decades ago reality. The objective of the four volume reference, Handbook of Advanced Magnetic Materials, is to provide a comprehensive review of recent progress in magnetic materials research. Each chapter will have an introduction to give a clea...
Number Theory IV
This book is a survey of the most important directions of research in transcendental number theory. For readers with no specific background in transcendental number theory, the book provides both an overview of the basic concepts and techniques and also a guide to the most important results and references.
