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"Number Theory in Science and Communication" is a well-known introduction for non-mathematicians to this fascinating and useful branch of applied mathematics . It stresses intuitive understanding rather than abstract theory and highlights important concepts such as continued fractions, the golden ratio, quadratic residues and Chinese remainders, trapdoor functions, pseudoprimes and primitive elements. Their applications to problems in the real world are one of the main themes of the book. This revised fourth edition is augmented by recent advances in primes in progressions, twin primes, prime triplets, prime quadruplets and quintruplets, factoring with elliptic curves, quantum factoring, Golomb rulers and "baroque" integers. From reviews of earlier editions – "I continue to find [Schroeder’s] Number Theory a goldmine of valuable information. It is a marvellous book, in touch with the most recent applications of number theory and written with great clarity and humor.’ Philip Morrison (Scientific American) "A light-hearted and readable volume with a wide range of applications to which the author has been a productive contributor – useful mathematics outside the formalities of theorem and proof." Martin Gardner.

Number theory. --- Algebra. --- Number study --- Numbers, Theory of --- Algebra --- Mathematics --- Mathematical analysis --- Mathematical physics. --- Coding theory. --- Distribution (Probability theory. --- Number Theory. --- Mathematical Methods in Physics. --- Numerical and Computational Physics, Simulation. --- Coding and Information Theory. --- Probability Theory and Stochastic Processes. --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Data compression (Telecommunication) --- Digital electronics --- Information theory --- Machine theory --- Signal theory (Telecommunication) --- Computer programming --- Physical mathematics --- Physics --- Physics. --- Information theory. --- Probabilities. --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Communication theory --- Communication --- Cybernetics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics

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Despite more than half a century of theoretical work, the Casimir effect is still not as fully understood as some suppose. In this treatise, the author uncovers new puzzles and paradoxes concerning this mysterious phenomenon. In particular, he clearly demonstrates that the most sophisticated theories fail when confronted with dielectrics in which the refractive index is not uniform but gradually changes.

Physics. --- Quantum Field Theories, String Theory. --- Optics and Electrodynamics. --- Elementary Particles, Quantum Field Theory. --- Quantum theory. --- Physique --- Théorie quantique --- Casimir effect. --- Physics --- Physical Sciences & Mathematics --- Atomic Physics --- Casimir force --- Casimir forces --- Effect, Casimir --- Force, Casimir --- Quantum field theory. --- String theory. --- Optics. --- Electrodynamics. --- Elementary particles (Physics). --- Electric fields --- Vacuum polarization --- Zero-point field --- Classical Electrodynamics. --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Mechanics --- Thermodynamics --- Elementary particles (Physics) --- High energy physics --- Nuclear particles --- Nucleons --- Nuclear physics --- Dynamics --- Light --- Models, String --- String theory --- Nuclear reactions --- Relativistic quantum field theory --- Field theory (Physics) --- Quantum theory --- Relativity (Physics)

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In Frontiers, Michael Redclift examines the relationship between nature and society in frontier areas--contested zones in which rival versions of civil society vie with one another, often over the definition and management of nature itself. Drawing on his own fieldwork and extensive archival research, Redclift presents five cases in which civil societies emerged in frontier areas either to manage common property or to legitimize private holdings: common-pool resource management in the Spanish Pyrenees, European settlement on the forest frontier in nineteenth-century Canada, conflicts over land and water resources in coastal Ecuador, Mayan civil unrest in the Yucatan peninsula, and the encroachment of tourism on the Mexican Caribbean coast.Redclift describes a dialectical process in frontier regions in which human societies and their environments influence and illuminate one another: the frontier can be seen as a crucible in which both nature and civil institutions develop and "co-evolve." In each of the five case studies, he argues, migration and land settlement gave rise to ideologies of nature that reflected not only the social and ethnic characteristics of the settlers but also the the effects of market forces on the natural environment. In most of these areas the natural environment was transformed by the pressure of the market, especially global markets. Resistance to market pressure created new avenues for political activity and the representation of cultural identity. Frontiers deepens and broadens our understanding of the role of the frontier, which, Redclift argues, needs to be considered within a global context that is of continuing importance today.

POLITICAL SCIENCE --- History & Theory --- Environmental management. --- Civil society. --- ENVIRONMENT/General --- SOCIAL SCIENCES/Anthropology & Archaeology --- Social contract --- Environmental stewardship --- Stewardship, Environmental --- Environmental sciences --- Management --- Environnement --- Société civile --- Gestion

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Proteomics is a multifaceted, interdisciplinary field which studies the complexity and dynamics of proteins in biological systems. It combines powerful separation and analytical technology with advanced informatics to understand the function of proteins in the cell and in the body. This book provides a clear conceptual description of each facet of proteomics, describes recent advances in technology and thinking in each area, and provides details of how these have been applied to a variety of biological problems. It is written by expert practitioners in the field, from industry, research institutions, and the clinic. It provides junior and experienced researchers with an invaluable proteomic reference, and gives fascinating glimpses of the future of this dynamic field.

Post-translational modification. --- Proteins. --- Proteomics. --- Proteomics --- Proteins --- Post-translational modification --- Genomics --- Databases, Genetic --- Electrophoresis, Polyacrylamide Gel --- Biochemistry --- Electrophoresis --- Electrochemical Techniques --- Databases, Factual --- Computational Biology --- Chemistry --- Biological Science Disciplines --- Genetics --- Chemistry Techniques, Analytical --- Biology --- Investigative Techniques --- Natural Science Disciplines --- Databases as Topic --- Information Storage and Retrieval --- Disciplines and Occupations --- Analytical, Diagnostic and Therapeutic Techniques and Equipment --- Information Systems --- Information Science --- Medical Informatics Applications --- Medical Informatics --- Electrophoresis, Gel, Two-Dimensional --- Databases, Protein --- Human Anatomy & Physiology --- Health & Biological Sciences --- Physical Sciences & Mathematics --- Animal Biochemistry --- Databases --- Co-translational modification --- Cotranslational modification --- Modification, Post-translational --- Post-translation protein modification --- Post-translational protein modification --- Posttranslation protein modification --- Posttranslational modification --- Posttranslational protein modification --- Proteids --- Life sciences. --- Molecular biology. --- Biochemistry. --- Bioinformatics. --- Cell biology. --- Life Sciences. --- Cell Biology. --- Biochemistry, general. --- Molecular Medicine. --- Molecular biology --- Cell biology --- Cellular biology --- Cells --- Cytologists --- Bio-informatics --- Biological informatics --- Information science --- Computational biology --- Systems biology --- Biological chemistry --- Chemical composition of organisms --- Organisms --- Physiological chemistry --- Medical sciences --- Molecular biochemistry --- Molecular biophysics --- Biophysics --- Biomolecules --- Biosciences --- Sciences, Life --- Science --- Data processing --- Composition --- Genetic translation --- Polypeptides --- Synthesis --- Cytology. --- Medicine. --- Clinical sciences --- Medical profession --- Human biology --- Life sciences --- Pathology --- Physicians --- Health Workforce --- Medicine --- Protein Biochemistry. --- Biomedical Research. --- Research. --- Biological research --- Biomedical research

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This book treats graph colouring as an algorithmic problem, with a strong emphasis on practical applications. The author describes and analyses some of the best-known algorithms for colouring arbitrary graphs, focusing on whether these heuristics can provide optimal solutions in some cases; how they perform on graphs where the chromatic number is unknown; and whether they can produce better solutions than other algorithms for certain types of graphs, and why. The introductory chapters explain graph colouring, and bounds and constructive algorithms. The author then shows how advanced, modern techniques can be applied to classic real-world operational research problems such as seating plans, sports scheduling, and university timetabling. He includes many examples, suggestions for further reading, and historical notes, and the book is supplemented by a website with an online suite of downloadable code. The book will be of value to researchers, graduate students, and practitioners in the areas of operations research, theoretical computer science, optimization, and computational intelligence. The reader should have elementary knowledge of sets, matrices, and enumerative combinatorics.

Computer Science --- Engineering & Applied Sciences --- Charts, diagrams, etc. --- Graphic methods. --- Visual communication in science. --- Scientific illustration. --- Graphics --- Graphs --- Diagrams, charts, etc. --- Plots (Diagrams) --- Illustration, Scientific --- Science illustration --- Scientific literature --- Illustration --- Science --- Geometrical drawing --- Least squares --- Mathematics --- Mechanical drawing --- Art and science --- Illustration of books --- Drawing --- Technical illustration --- Scientific applications --- Computer software. --- Mathematical optimization. --- Operations research. --- Engineering mathematics. --- Algorithm Analysis and Problem Complexity. --- Optimization. --- Operations Research/Decision Theory. --- Mathematical and Computational Engineering. --- Algorithms. --- Decision making. --- Applied mathematics. --- Engineering --- Engineering analysis --- Mathematical analysis --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management --- Management decisions --- Choice (Psychology) --- Problem solving --- Algorism --- Algebra --- Arithmetic --- Decision making --- Foundations