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An Introduction to Sequential Dynamical Systems
This text is the first to provide a comprehensive introduction to SDS. Driven by numerous examples and thought-provoking problems, the presentation offers good foundational material on finite discrete dynamical systems which leads systematically to an introduction of SDS. Techniques from combinatorics, algebra and graph theory are used to study a broad range of topics, including reversibility, the structure of fixed points and periodic orbits, equivalence, morphisms and reduction. Unlike other books that concentrate on determining the structure of various networks, this book investigates the dynamics over these networks by focusing on how the underlying graph structure influences the properties of the associated dynamical system.
An Introduction to Queueing Theory : Modeling and Analysis in Applications
This introductory textbook is designed for a one-semester course on queueing theory that does not require a course in stochastic processes as a prerequisite. By integrating the necessary background on stochastic processes with the analysis of models, the work provides a sound foundational introduction to the modeling and analysis of queueing systems for a broad interdisciplinary audience of students in mathematics, statistics, and applied disciplines such as computer science, operations research, and engineering.
An Introduction to Ordinary Differential Equations
This textbook provides a rigorous and lucid introduction to the theory of ordinary differential equations (ODEs), which serve as mathematical models for many exciting real-world problems in science, engineering, and other disciplines.
An Introduction to Mathematics of Emerging Biomedical Imaging
Biomedical imaging is a fascinating research area to applied mathematicians. Challenging imaging problems arise and they often trigger the investigation of fundamental problems in various branches of mathematics. This is the first book to highlight the most recent mathematical developments in emerging biomedical imaging techniques. The main focus is on emerging multi-physics and multi-scales imaging approaches. For such promising techniques, it provides the basic mathematical concepts and tools for image reconstruction. Further improvements in these exciting imaging techniques require continued research in the mathematical sciences, a field that has contributed greatly to biomedical imaging and will continue to do so.
An Introduction to Mathematical Cryptography
This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics while developing the mathematical tools needed for the construction and security analysis of diverse cryptosystems. Only basic linear algebra is required of the reader; techniques from algebra, number theory, and probability are introduced and developed as required.
An Introduction to Manifolds
Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory. In this streamlined introduction to the subject, the theory of manifolds is presented with the aim of helping the reader achieve a rapid mastery of the essential topics. By the end of the book the reader should be able to compute, at least for simple spaces, one of the most basic topological invariants of a manifold, its de Rham cohomology. Along the way the reader acquires the knowledge and skills necessary for further study of geometry and topology.
An Introduction to Fluid Mechanics and Transport Phenomena
This book presents the foundations of fluid mechanics and transport phenomena in a concise way. It is suitable as an introduction to the subject as it contains many examples, proposed problems and a chapter for self-evaluation. The solutions to all problems are displayed in the corresponding appendix.
An Introduction to Echo Analysis : Scattering Theory and Wave Propagation
The use of various types of wave energy is an increasingly promising, non-destructive means of detecting objects and of diagnosing the properties of quite complicated materials. An analysis of this technique requires an understanding of how waves evolve in the medium of interest and how they are scattered by inhomogeneities in the medium. These scattering phenomena can be thought of as arising from some perturbation of a given, known system and they are analysed by developing a scattering theory. This monograph provides an introductory account of scattering phenomena and a guide to the technical requirements for investigating wave scattering problems.
Amplification of Chirality
Amplification of Chirality presents critical reviews of the present position and future trends in modern chemical research. The book contains short and concise reports on chemistry. Each is written by the world renowned experts. Still valid and useful after 5 or 10 years, more information as well as the electronic version of the whole content available at: springerlink.com.
Amongst Mathematicians : Teaching and Learning Mathematics at University Level
Amongst Mathematicians offers a unique perspective on the ways in which mathematicians perceive their students' learning, teach and reflect on their teaching practice; also on how they perceive the often fragile relationship between the communities of mathematics and mathematics education.This book demonstrates the pedagogical potential that lies in collaborative undergraduate mathematics education research that engages mathematicians, researchers and students. Nardi also addresses the need for action in undergraduate mathematics education and offers a discourse for reform through demonstrating the feasibility and potential of collaboration between mathematicians and mathematics education researchers.
Amino acids and the asymmetry of life : Caught in the act of formation
This book describes how the basic building blocks of life, the amino acids, formed. After a comprehensible introduction into stereochemistry, the author addresses the inherent property of amino acids in living organisms, namely the preference for left-handedness. What was the cause for violation of parity of amino acids in the emergence of life on Earth? All the fascinating models proposed by physicists, chemists and biologist are vividly presented including the scientific conflicts.
Alzheimers Disease
Alzheimer’s disease (AD) is a neurodegenerative disease that robs the minds of our elderly population. Approximately one in every eight adults over the age of 65 and nearly half of those over 85 are afflicted with this disease. The aging population in developed societies will impose an ever increasing socioeconomic threat in the future. Current medicines for AD patients are mainly symptomatic treatments and a huge unmet medical need exists to slow the progression of this disease. A great deal of research has been dedicated to understanding the pathogenesis of AD from which comes many ideas for intervening with its progression. Some of these ideas have been fast-tracked to clinical trials due to the availability of medicines with proven clinical efficacies for other diseases (e.g. atorvastatin, simvastatin, rosiglitazone and clioquinol) while others represent novel chemical entities (e.g. glycogen synthase kinase-3 inhibitors).
Alternatives Considered But Not Disclosed : The Ambiguous Role of PowerPoint in Cross-Project Learning
This study investigates the role of PowerPoint in organizational communication, particularly in terms of a functional dilemma between its application for documentation as opposed to presentation purposes. The theoretical part of the analysis combines insights from both organizational communication studies (J. R. Taylor et al.) and social systems theory (N. Luhmann et al.). The empirical analysis shows that PowerPoint documents created for cross-project learning purposes contribute to an invisibilization rather than a visibilization of decision processes and their contingency.
Alternative pseudodifferential analysis : With an application to modular forms
This volume introduces an entirely new pseudodifferential analysis on the line, the opposition of which to the usual (Weyl-type) analysis can be said to reflect that, in representation theory, between the representations from the discrete and from the (full, non-unitary) series, or that between modular forms of the holomorphic and substitute for the usual Moyal-type brackets. This pseudodifferential analysis relies on the one-dimensional case of the recently introduced anaplectic representation and analysis, a competitor of the metaplectic representation and usual analysis.
Altering nature ; Vol.2 : Religion, Biotechnology, and Public Policy
The two volumes of Altering Nature consider the complex ways that concepts of 'nature' and 'the natural' are understood and the relevance of those understandings to discussions of biotechnology.Volume Two, Religion, Biotechnology, and Public Policy, reviews recent religious and ethical analyses of four specific areas of biotechnology: assisted reproduction, genetic therapy and enhancement, human-machine incorporation, and biodiversity. It identifies and explores the richer normative themes that inform particular debates and suggests ways that policy choices in biotechnology may be illuminated by devoting greater attention to religious perspectives.
Altering nature ; Vol.1 : Concepts of ‘Nature’ and ‘The Natural’ in Biotechnology Debates
Volume One, Concepts of 'Nature' and 'The Natural' in Biotechnology Debates, offers nuanced accounts of the ways that nature is invoked and interpreted, both descriptively and prescriptively, by different disciplines, including perspectives from spirituality and religion, philosophy, science and medicine, law and economics, and aesthetics. In the context of that broad discussion.
Algoritmi : Lo spirito dell’informatica = Algorithms : The spirit of information technology
Algorithms are the heart of computer science and mathematics, since without them the use of computers would not be possible. In this book, which in its English edition has been a longtime bestseller, Harel and Feldmann answer all questions relating to this topic. They talk about the evaluation, correctness and effectiveness of algorithms, but also clarify some doubts about programming techniques and also refer to the very current discussion on quantum computing. The book is useful both as a basic text for an introductory university course in computer science, and as a general introduction to natural sciences, mathematics or engineering.
Algorithms for Fuzzy Clustering : Methods in c-Means Clustering with Applications
The main subject of this book is the fuzzy c-means proposed by Dunn and Bezdek and their variations including recent studies. We emphasize in this book is a family of algorithms using entropy or entropy-regularized methods which are less known, but we consider the entropy-based method to be another useful method of fuzzy c-means.
Algebraic Groups and Lie Groups with Few Factors
Algebraic groups are treated in this volume from a group theoretical point of view and the obtained results are compared with the analogous issues in the theory of Lie groups. The main body of the text is devoted to a classification of algebraic groups and Lie groups having only few subgroups or few factor groups of different type. In particular, the diversity of the nature of algebraic groups over fields of positive characteristic and over fields of characteristic zero is emphasized. This is revealed by the plethora of three-dimensional unipotent algebraic groups over a perfect field of positive characteristic, as well as, by many concrete examples which cover an area systematically. In the final section, algebraic groups and Lie groups having many closed normal subgroups are determined.
Algebraic Geometry : An Introduction
The book starts with easily-formulated problems with non-trivial solutions – for example, Bézout’s theorem and the problem of rational curves – and uses these problems to introduce the fundamental tools of modern algebraic geometry: dimension; singularities; sheaves; varieties; and cohomology. The treatment uses as little commutative algebra as possible by quoting without proof (or proving only in special cases) theorems whose proof is not necessary in practice, the priority being to develop an understanding of the phenomena rather than a mastery of the technique. A range of exercises is provided for each topic discussed, and a selection of problems and exam papers are collected in an appendix to provide material for further study.
