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An Introduction to Number Theory
An Introduction to Number Theory provides an introduction to the main streams of number theory. Starting with the unique factorization property of the integers, the theme of factorization is revisited several times throughout the book to illustrate how the ideas handed down from Euclid continue to reverberate through the subject. In particular, the book shows how the Fundamental Theorem of Arithmetic, handed down from antiquity, informs much of the teaching of modern number theory. The result is that number theory will be understood, not as a collection of tricks and isolated results, but as a coherent and interconnected theory. A number of different approaches to number theory are presented, and the different streams in the book are brought together in a chapter that describes the class number formula for quadratic fields and the famous conjectures of Birch and Swinnerton-Dyer. The final chapter introduces some of the main ideas behind modern computational number theory and its applications in cryptography.
An Introduction to Meshfree Methods and Their Programming
This book aims to present meshfree methods in a friendly and straightforward manner, so that beginners can very easily understand, comprehend, program, implement, apply and extend these methods. It provides first the fundamentals of numerical analysis that are particularly important to meshfree methods. Typical meshfree methods, such as EFG, RPIM, MLPG, LRPIM, MWS and collocation methods are then introduced systematically detailing the formulation, numerical implementation and programming. Many well-tested computer source codes developed by the authors are attached with useful descriptions. The application of the codes can be readily performed using the examples with input and output files given in table form. These codes consist of most of the basic meshfree techniques, and can be easily extended to other variations of more complex procedures of meshfree methods. Readers can easily practice with the codes provided to effective learn and comprehend the basics of meshfree methods.
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 Markov Processes
Provides a more accessible introduction than other books on Markov processes by emphasizing the structure of the subject and avoiding sophisticated measure theoryLeads the reader to a rigorous understanding of basic theory
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 Global Spectral Modeling
Numerical weather prediction is receiving increased attention as weather forecasters aim to improve the numerical models used to forecast the weather. This is a textbook on global spectral modeling, which is an important component for global weather forecasts at numerous operational centers. This book covers all areas of model development including numerical analysis, treatment of clouds, mountains, radiation, precipitation processes, and the surface layers over land and the ocean. The objectives of this book are to provide a systematic and sequential background for students, researchers, and operational weather forecasters in order to develop comprehensive weather forecast models. This is designed for a one semester introductory graduate level course on weather prediction methodologies. As a prerequisite it requires a basic background in meteorology, applied mathematics, and numerical analysis.
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 Ethics in Robotics and AI
This book provides an introduction into the ethics of robots and artificial intelligence. The book was written with university students, policy makers, and professionals in mind but should be accessible for most adults. The book is meant to provide balanced and, at times, conflicting viewpoints as to the benefits and deficits of AI through the lens of ethics. As discussed in the chapters that follow, ethical questions are often not cut and dry. Nations, communities, and individuals may have unique and important perspectives on these topics that should be heard and considered. While the voices that compose this book are our own, we have attempted to represent the views of the broader AI, robotics, and ethics communities.
An Introduction to Difference Equations
The book integrates both classical and modern treatments of difference equations. It contains the most updated and comprehensive material, yet the presentation is simple enough for the book to be used by advanced undergraduate and beginning graduate students. This third edition includes more proofs, more graphs, and more applications. The author has also updated the contents by adding a new chapter on Higher Order Scalar Difference Equations, along with recent results on local and global stability of one-dimensional maps, a new section on the various notions of asymptoticity of solutions, a detailed proof of Levin-May Theorem, and the latest results on the LPA flour-beetle model
An Introduction to Copulas
Copulas are functions that join multivariate distribution functions to their one-dimensional margins. The study of copulas and their role in statistics is a new but vigorously growing field. In this book the student or practitioner of statistics and probability will find discussions of the fundamental properties of copulas and some of their primary applications. The applications include the study of dependence and measures of association, and the construction of families of bivariate distributions.
An Introduction to continuous-time stochastic processes : Theory, models, and applications to finance, biology, and medicine
This book is introduction to the theory of continuous-time stochastic processes. A balance of theory and applications, the work features concrete examples of modeling real-world problems from biology, medicine, industrial applications, finance, and insurance using stochastic methods. No previous knowledge of stochastic processes is required. Key topics covered include: * Interacting particles and agent-based models: from polymers to ants * Population dynamics: from birth and death processes to epidemics * Financial market models: the non-arbitrage principle * Contingent claim valuation models: the risk-neutral valuation theory * Risk analysis in insurance
An Introduction To Chemoinformatics
This, the first text written specifically for this field, aims to provide an introduction to the major techniques of chemoinformatics. The first part of the book deals with the representation of 2D and 3D molecular structures, the calculation of molecular descriptors and the construction of mathematical models. The second part describes other important topics including molecular similarity and diversity, the analysis of large data sets, virtual screening, and library design. Simple illustrative examples are used throughout to illustrate key concepts, supplemented with case studies from the literature.
An Introduction to Bayesian Analysis : Theory and Methods
This book is a contemporary introduction to theory, methods and computation in Bayesian Analysis. It focuses on topics that have stood the test of time and on emerging areas. No other such book is available in the market.
An Interactive Multimedia Introduction to Signal Processing
A didactic concept is undertaken for microelectronics, computer technology and communication engineering, which deals with the visualization of signals and processes in addition to graphical programming of signal processing systems. Through the utilization of a professional and globally supported software for metrology and control engineering, DasyLab, useful applications can be developed, modified and optimized. Computer supported processing of real signals is made possible over the sound card and the parallel port. Over two hundred pre-programmed signal engineering systems and design transparencies are provided. Pictures also play a dominant rule in this book: there are numerous introduction-videos, one for every chapter, more than 250 high-quality pictures and - most important – all the "living" experiments and their results are visualized. With this learning system, readers can now make use of "equipment" and software, which was practically unaffordable for individuals in the past. What's more, here is a very new concept for learning Signal Processing, not only from the physically-based scientific fundamentals, but also from the didactic perspective, based on modern results of brain research.
An Energy Analysis of Household Consumption : Changing Patterns of Direct and Indirect Use in India
The book presents a novel socio-economic approach to analysing the - ergy system and energy consumption in India from a household persp- tive. In doing so, it views households as the ultimate end-consumers and estimates and analyses the direct and indirect energy requirements of household consumption, both at an aggregate national level as well as at a disaggregate household level. In addition, the work incorporates two c- cial aspects often ignored by many energy studies that are characteristic of most developing countries, namely the importance of non-commercial sources of biomass energy in the energy systems of these countries, and the enormous diversity and inequity in the patterns of energy access and use across households with different lifestyles and levels of well being.
An Archaeology of Colonial Identity : Power and Material Culture in the Dwars Valley, South Africa
This book is the based on the work of many people, and while I discuss many of them in the general context of this book in Chapter 1. The backbone of the book is based on a project, 'Farm Lives' conducted between 1999 and 2002, funded exclusively by the McDonald Institute for Archaeolog-ical Research at the University of Cambridge.
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.
