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The book comprises a rigorous and self-contained treatment of initial-value problems for ordinary differential equations. It additionally develops the basics of control theory, which is a unique feature in current textbook literature.The following topics are particularly emphasised:• existence, uniqueness and continuation of solutions,• continuous dependence on initial data,• flows,• qualitative behaviour of solutions,• limit sets,• stability theory,• invariance principles,• introductory control theory,• feedback and stabilization.The last two items cover classical control theoretic material such as linear control theory and absolute stability of nonlinear feedback systems. It also includes an introduction to the more recent concept of input-to-state stability.Only a basic grounding in linear algebra and analysis is assumed. Ordinary Differential Equations will be suitable for final year undergraduate students of mathematics and appropriate for beginning postgraduates in mathematics and in mathematically oriented engineering and science.

Mathematics for Finance: An Introduction to Financial Engineering combines financial motivation with mathematical style. Assuming only basic knowledge of probability and calculus, it presents three major areas of mathematical finance, namely Option pricing based on the no-arbitrage principle in discrete and continuous time setting, Markowitz portfolio optimisation and Capital Asset Pricing Model, and basic stochastic interest rate models in discrete setting.

Software errors can lead to catastrophic consequences, from financial losses to threats to human safety. As a result, rigorous methods for software development and validation have become increasingly critical. Program verification, a key area of formal methods, provides mathematical tools and techniques to ensure that software behaves as intended. This book provides a comprehensive introduction to program verification, combining theoretical foundations with practical applications using real-world tools. It offers a self-contained overview of propositional logic and first-order reasoning with theories, followed by a study of Hoare-style program logic with annotations and the generation of verification conditions. The use of Frama-C’s WP plug-in for verifying C programs annotated with the ACSL specification language, including safety properties, is also covered. This revised and expanded second edition incorporates recent advances in formal methods and program verification, integrating new techniques, tools, and exercises to equip readers with the skills necessary for rigorous software development.Rigorous Software Development is ideal for computer science students, researchers in formal methods, and software engineers seeking a deeper understanding of program verification techniques and tools. It equips readers with the knowledge needed to apply rigorous methods in practice while providing a solid foundation for the evolving landscape of modern software engineering.

An Introduction to Computer Graphics for Artists is an application-independent, reader-friendly primer for anyone with a serious desire to understand 3D Computer Graphics. Written by a veteran of the computer graphics industry whose previous career included film animation and various spells as Art Director for video games, Andrew Paquette draws on his experiences both as an artist and a manager. Far too often artists, even professionals, lack a basic understanding of the principles of computer graphics. The result is inefficiency and lower quality of work. This book addresses these issues by providing fundamental information in a university course format, with theoretical material, detailed illustrations, and projects to test the reader’s understanding of the concepts covered.Opening with the first and most basic elements of computer graphics, the book rapidly advances into progressively more complex concepts. Each of the elements, however simple, are important to understand because each is an essential link in a chain that allows an artist to master any computer graphics application. With this accomplished, the artist can use technology to satisfy his goals, instead of the technology being master of the artist.All students wanting to learn more about computer graphics from an artistic viewpoint, particularly those intending to pursue a career in computer game design or film animation, will find this book invaluable.

Many current texts in the area are just cookbooks and, as a result, students do not know why they perform the methods they are taught, or why the methods work. The strength of this book is that it readdresses these shortcomings; by using examples, often from real life and using real data, the authors show how the fundamentals of probabilistic and statistical theories arise intuitively. A Modern Introduction to Probability and Statistics has numerous quick exercises to give direct feedback to students. In addition there are over 350 exercises, half of which have answers, of which half have full solutions. A website gives access to the data files used in the text, and, for instructors, the remaining solutions. The only pre-requisite is a first course in calculus; the text covers standard statistics and probability material, and develops beyond traditional parametric models to the Poisson process, and on to modern methods such as the bootstrap.

Multivariate calculus can be understood best by combining geometric insight, intuitive arguments, detailed explanations and mathematical reasoning. This textbook not only follows this programme, but additionally provides a solid description of the basic concepts, via familiar examples, which are then tested in technically demanding situations. In this new edition the introductory chapter and two of the chapters on the geometry of surfaces have been revised. Some exercises have been replaced and others provided with expanded solutions. Familiarity with partial derivatives and a course in linear algebra are essential prerequisites for readers of this book. Multivariate Calculus and Geometry is aimed primarily at higher level undergraduates in the mathematical sciences. The inclusion of many practical examples involving problems of several variables will appeal to mathematics, science and engineering students.

Numerical Methods for Ordinary Differential Equations is a self-contained introduction to a fundamental field of numerical analysis and scientific computation. Written for undergraduate students with a mathematical background, this book focuses on the analysis of numerical methods without losing sight of the practical nature of the subject.It covers the topics traditionally treated in a first course, but also highlights new and emerging themes. Chapters are broken down into `lecture' sized pieces, motivated and illustrated by numerous theoretical and computational examples.Over 200 exercises are provided and these are starred according to their degree of difficulty. Solutions to all exercises are available to authorized instructors.The book covers key foundation topics:o Taylor series methodso Runge--Kutta methodso Linear multistep methodso Convergenceo Stabilityand a range of modern themes:o Adaptive stepsize selectiono Long term dynamicso Modified equationso Geometric integrationo Stochastic differential equationsThe prerequisite of a basic university-level calculus class is assumed, although appropriate background results are also summarized in appendices. A dedicated website for the book containing extra information can be found via www.springer.com

In Europe's Space Programme - to Ariane and Beyond, author Brian Harvey begins with the fledgling European rocket effort of the 1930s and the key pioneers of the period, examining the significance of the V-2 and the technological advances represented by its development. He shows how the Russians and Americans put their captured V-2s to work, but the European countries were slower to respond. Both Britain and France developed national space programmes in the 1950s and 1960s and the early attempts at European co-operation for launcher development - ELDO and ESRO - are described. The formation of the European Space Agency and the origins of the successful Ariane launcher programme are discussed and Europe's subsequent success in the world launcher market, its cutting-edge role in space applications and European manned spaceflight, are all described in detail.

This revised and expanded new edition of an internationally successful classic presents an accessible introduction to the key methods in digital image processing for both practitioners and teachers. Emphasis is placed on practical application, presenting precise algorithmic descriptions in an unusually high level of detail, while highlighting direct connections between the mathematical foundations and concrete implementation. The text is supported by practical examples and carefully constructed chapter-ending exercises drawn from the authors'' years of teaching experience, including easily adaptable Java code and completely worked out examples. Source code, test images and additional instructor materials are also provided at an associated website. Digital Image Processing is the definitive textbook for students, researchers, and professionals in search of critical analysis and modern implementations of the most important algorithms in the field, andis also eminently suitable for self-study.

Based on a course given at Oxford over many years, this book is a short and concise exposition of the central ideas of general relativity. The focus is on the chain of reasoning that leads to the relativistic theory from the analysis of distance and time measurements in the presence of gravity, rather than on the underlying mathematical structure. The geometric ideas - which are central to the understanding of the nature of gravity - are introduced in parallel with the development of the theory, the emphasis being on laying bare how one is led to pseudo-Riemannian geometry through a natural process of reconciliation of special relativity with the equivalence principle. At centre stage are the "local inertial coordinates" set up by an observer in free fall, in which special relativity is valid over short times and distances.In more practical terms, the book is a sequel to the author's Special Relativity in the same series, with some overlap in the treatment of tensors.

This book focuses on sustainable solid waste management in an urban context and gives an example of how a modern city can work with waste management for increased sustainability in close cooperation with the academy. The book describes challenges which the city is facing and presents a case on how these can be tackled based on several research and development projects performed in the City of Malmö over the last decade. In these projects, the city has worked as a test bed for new solutions, developed with and evaluated by the university. The projects and evaluations of the same have been developed with a multi-dimensional approach; including technical aspects, resource efficiency, economic parameters, information strategies towards households and user friendliness. Methods used for evaluation are presented in a comprehensive way together with a discussion on how results from performed evaluations have affected the solid waste management policy making in the city. The book describes a bridging over a commonly noticed gap between research on the one hand and policy making and technical management on the other. Several examples are given on how academy and real life and full-scale developments in the city can have a fruit-full collaboration, where feed-back from evaluation of made changes are used for continuous improvements – at the same time as the actual needs from the city forces the academy to develop new methods for evaluations and develop new solutions to previously un-known or un-addressed problems.

This book teaches the art of writing mathematics, an essential -and difficult- skill for any mathematics student. The book begins with an informal introduction on basic writing principles and a review of the essential dictionary for mathematics. Writing techniques are developed gradually, from the small to the large: words, phrases, sentences, paragraphs, to end with short compositions. These may represent the introduction of a concept, the abstract of a presentation or the proof of a theorem. Along the way the student will learn how to establish a coherent notation, mix words and symbols effectively, write neat formulae, and structure a definition.Some elements of logic and all common methods of proofs are featured, including various versions of induction and existence proofs. The book concludes with advice on specific aspects of thesis writing (choosing of a title, composing an abstract, compiling a bibliography) illustrated by large number of real-life examples. Many exercises are included; over 150 of them have complete solutions, to facilitate self-study.Mathematical Writing will be of interest to all mathematics students who want to raise the quality of their coursework, reports, exams, and dissertations.

This book presents the human hand from an overall perspective – from the first appearance of hand-like structures in the fins of big fishes living millions of years ago to today´s and the future’s mind-controlled artificial hands. Much focus is given to the extremely well-developed sensation of the hand, its importance and its linkage to brain plasticity mechanisms. How can active hands rapidly expand their representational area in the brain? How can the sense of touch substitute for other deficient senses, such as in Braille reading where hand sensation substitutes for missing vision? How can the mere observation of active hands, belonging to others, activate the hand area in the observer’s own brain and what is the importance of this phenomenon for learning by imitation and the understanding of other peoples’ actions, gestures and body language? Why are some of us left-handed and what are the consequences from cultural and physiological viewpoints? Why does phantom sensation and phantom pain occur after hand amputation, and what can we do about it? Why can salamanders regenerate new extremities while humans can not? Is it possible to transplant a hand from a diseased individual to an amputee? Can artificial robotic hands be controlled by our mind, and can they ever gain the role of a normal hand? What role did the hand and the brain play during evolution in tool construction and development of language and cognitive functions? The hand has a high symbolic value in religion, literature and art and our hands have a key role in gestures and body language.   The Hand and the Brain is aimed at anybody with interest in life sciences, in the medical field especially hand surgeons, orthopaedic specialists, neurologists and general practitioners, and those working in rehabilitation medicine and pain treatment. The original Swedish version of The Hand and the Brain has also become very popular among physiotherapists, occupational therapists, psychologists, and among a general population with an interest in science.

Many lights and other objects in the sky go unrecognised, or at least are little understood by those observing them. Such things range from the commonplace like rainbows and meteors, to the distinctly unusual like the green flash and ball lightning. And there is still a residuum of objects that remain unidentified by the watcher – classed generally as ‘UFOs’, a description which today has connotations of the mysterious, even of extraterrestrial visitors.The first part of this book is an identification guide, very much like the "plant identifier" sections found in a good gardening or botany book. It allows quick (and structured) identification of known aerial phenomena, whether at night or during the day. The objects thus found are referenced to the second part of the book.The second part gives a full description, physical explanation, and where relevant notes on observing and photographing the various phenomena. Some will need optical aids such as binoculars or telescopes, but the main thrust of the book is identification and explanation rather than imaging.The final chapter approaches UFOs from a scientific standpoint, particularly the way in which human perception and often preconception affects the outcome. It does however finish with a short section on "extraterrestrial UFOs", emphasising the burden of proof aspect and touching on the scientific theories of life on other worlds and the improbability of visitors.

Dirk van Dalen’s popular textbook Logic and Structure, now in its fifth edition, provides a comprehensive introduction to the basics of classical and intuitionistic logic, model theory and Gödel’s famous incompleteness theorem. Propositional and predicate logic are presented in an easy-to-read style using Gentzen’s natural deduction. The book proceeds with some basic concepts and facts of model theory: a discussion on compactness, Skolem-Löwenheim, non-standard models and quantifier elimination. The discussion of classical logic is concluded with a concise exposition of second-order logic. In view of the growing recognition of constructive methods and principles, intuitionistic logic and Kripke semantics is carefully explored. A number of specific constructive features, such as apartness and equality, the Gödel translation, the disjunction and existence property are also included. The last chapter on Gödel's first incompleteness theorem is self-containedand provides a systematic exposition of the necessary recursion theory. This new edition has been properly revised and contains a new section on ultra-products.

The series Advances in Industrial Control aims to report and encourage technology transfer in control engineering. The rapid development of control technology impacts all areas of the control discipline. New theory, new controllers, actuators, sensors, new industrial processes, computing methods, applications, philosophies, . . . , new challenges. Much of this development work resides in industrial reports, feasibility study papers and the reports of advanced collaborative projects. The series offers an opportunity for researchers to present an extended exposition of such new work in all aspects of industrial control for wider and rapid dissemination. The autotune method of Astrom and Hagglund had a major impact on the hardware and structure of PID process controllers. However, despite a substantial body of theoretical analysis, progress in transferring the benefits of more general self-tuning methods to industrial devices and processes has been much slower. This volume by Dr's Stephan and Keuchel shows that this type of technology transfer can be achieved and that the more advanced adaptive controllers do give performance benefits over conventional industrial (three term) controllers. The volume also shows the requirements in hardware, the need for software skills and the engineering techniques required to achieve satisfactory results. We hope that by recording their engineering know-how more researchers and industrialists will be encouraged to tap the benefits of advanced self-tuning and adaptive control methods. July, 1993 Michael J. Grimble and M. A. Johnson, Industrial Control Centre, Glasgow, Scotland, U. K.

"Risks in Technological Systems" is an interdisciplinary university textbook and a book for the educated reader on the risks of today’s society. In order to understand and analyze risks associated with the engineering systems on which modern society relies, other concerns have to be addressed, besides technical aspects. In contrast to many academic textbooks dealing with technological risks, this book has a unique interdisciplinary character that presents technological risks in their own context.Twenty-four scientists have come together to present their views on risks in technological systems. Their scientific disciplines cover not only engineering, economics and medicine, but also history, psychology, literature and philosophy. Taken together these contributions provide a broad, but accurate, interdisciplinary introduction to a field of increasing global interest, as well as rich opportunities to achieve in-depth knowledge of the subject.

Designed as an introduction to higher-education mathematics, Bridging the Gap is the only book of this sort written for students by students. The authors, Martin Gould and Edward Hurst, wrote this book as second-year undergraduates at Warwick University. Their experiences as students have helped them create an approachable and comprehensive introductory text that will be of benefit to anyone looking to make the step-up to university education. This book contains chapters rich with worked examples and exercises covering all the key subject-areas that a first-year undergraduate will encounter, such as Inequalities, Complex Numbers, Probability, Matrices and many more. The authors have also included a “Test Yourself” exercise at the beginning of each chapter so that students will know straightaway which chapters will be of most use to them. Every topic concludes with a “Where Now?” section that helps the reader find out exactly how and where they can apply their newly-learned skills.

The subject of partial differential equations holds an exciting and special position in mathematics. Partial differential equations were not consciously created as a subject but emerged in the 18th century as ordinary differential equations failed to describe the physical principles being studied. The subject was originally developed by the major names of mathematics, in particular, Leonard Euler and Joseph-Louis Lagrange who studied waves on strings; Daniel Bernoulli and Euler who considered potential theory, with later developments by Adrien-Marie Legendre and Pierre-Simon Laplace; and Joseph Fourier''s famous work on series expansions for the heat equation. Many of the greatest advances in modern science have been based on discovering the underlying partial differential equation for the process in question. James Clerk Maxwell, for example, put electricity and magnetism into a unified theory by establishing Maxwell''s equations for electromagnetic theory, which gave solutions for prob­ lems in radio wave propagation, the diffraction of light and X-ray developments. Schrodinger''s equation for quantum mechanical processes at the atomic level leads to experimentally verifiable results which have changed the face of atomic physics and chemistry in the 20th century. In fluid mechanics, the Navier­ Stokes'' equations form a basis for huge number-crunching activities associated with such widely disparate topics as weather forecasting and the design of supersonic aircraft. Inevitably the study of partial differential equations is a large undertaking, and falls into several areas of mathematics.

Doctors and the general public are increasingly recognising diseases of the vulva and vagina as a cause of sexual dysfunction, morbidity and death, yet the wide but sometimes rare range of conditions involving this area are poorly represented in most textbooks of pathology. As the first volume in the Essentials of Diagnostic Gynecological Pathology series sponsored by the British Association of Gynecological Pathologists, Pathology of the Vulva and Vagina is one of the very few dealing wholly with this subject.Pathology of the Vulva and Vagina introduces the topic with a stylishly illustrated description of the embryology and development which is fundamental to understanding the pathogenesis and symptomatology.  Subsequent chapters cover infections and non-infectious dermatoses, specifying those that can predispose to cancer. The precancerous conditions of vulval intraepithelial neoplasia, melanocytic proliferations and extra-mammary Paget’s disease are integrated respectively with accounts of human papilloma virus, malignant melanoma and recent awareness of ano-genital mammary-like glands. Advances in the recognition of potentially confusing benign conditions, prognosis and staging update the pathology of squamous and adenocarcinoma in these organs. The difficulties of sentinel node biopsy are explored and a comprehensive chapter clearly highlights the difficult differential diagnosis of mesenchymal lesions.As most histopathology departments receive many gynecological specimens, Pathology of the Vulva and Vagina has been written to be useful diagnostically to general as well as specialist gynecological histopathologists and pathologists in training.  Gynecologists, oncologists, dermatologists, genitourinary physicians and cancer nurse specialists will find expert insights here that will help in treatment andcounselling of their patients.

"Risks in Technological Systems" is an interdisciplinary university textbook and a book for the educated reader on the risks of today’s society. In order to understand and analyze risks associated with the engineering systems on which modern society relies, other concerns have to be addressed, besides technical aspects. In contrast to many academic textbooks dealing with technological risks, this book has a unique interdisciplinary character that presents technological risks in their own context.Twenty-four scientists have come together to present their views on risks in technological systems. Their scientific disciplines cover not only engineering, economics and medicine, but also history, psychology, literature and philosophy. Taken together these contributions provide a broad, but accurate, interdisciplinary introduction to a field of increasing global interest, as well as rich opportunities to achieve in-depth knowledge of the subject.

"Chemical Vapour Deposition: An Integrated Engineering Design for Advanced Materials" focuses on the application of this technology to engineering coatings and, in particular, to the manufacture of high performance materials, such as fibre reinforced ceramic composite materials, for structural applications at high temperatures. This book aims to provide a thorough exploration of the design and applications of advanced materials, and their manufacture in engineering. From physical fundamentals and principles, to optimization of processing parameters and other current practices, this book is designed to guide readers through the development of both high performance materials and the design of CVD systems to manufacture such materials."Chemical Vapour Deposition: An Integrated Engineering Design for Advanced Materials" introduces integrated design and manufacture of advanced materials to researchers, industrial practitioners, postgraduates and senior undergraduate students.

Logic is a branch of philosophy, mathematics and computer science. It studies the required methods to determine whether a statement is true, such as reasoning and computation.Proofs and Algorithms: Introduction to Logic and Computability is an introduction to the fundamental concepts of contemporary logic - those of a proof, a computable function, a model and a set. It presents a series of results, both positive and negative, - Church's undecidability theorem, Gödel’s incompleteness theorem, the theorem asserting the semi-decidability of provability - that have profoundly changed our vision of reasoning, computation, and finally truth itself.Designed for undergraduate students, this book presents all that philosophers, mathematicians and computer scientists should know about logic.

You are holding in your hands, dear Reader, your passport to an exciting cosmic adventure – exploring the universe of double and multiple stars! These are the sky’s tinted jewels and waltzing couples, and they are waiting patiently in the darkness of night to dazzle and delight you. This is actually two books in one. The ?rst part surveys the current state of knowledge about double stars – how they are born, evolve and interact, their signi?cance in the cosmic scheme of things,and the valuable insights they provide into such fundamental matters as stellar masses and the ultimate fate of stars.The more we know about these fascinating objects, the more enjoyment we will ul- mately derive from actually viewing them ?rsthand with binoculars and telescopes from our gardens or backyards or ?elds.As Charles Edward Barns stated in his long out-of-print classic 1001 Celestial Wonders, Let me learn all that is known of them, Love them for the joy of loving. For,as a traveler in far countries Brings back only what he takes, So shall the scope of my foreknowledge Measure the depth of their pro?t and charm to me.

This book nds its origin in the WIDE PhD School on Networked Control Systems, which we organized in July 2009 in Siena, Italy. Having gathered experts on all the aspects of networked control systems, it was a small step to go from the summer school to the book, certainly given the enthusiasm of the lecturers at the school. We felt that a book collecting overviewson the important developmentsand open pr- lems in the eld of networked control systems could stimulate and support future research in this appealing area. Given the tremendouscurrentinterests in distributed control exploiting wired and wireless communication networks, the time seemed to be right for the book that lies now in front of you. The goal of the book is to set out the core techniques and tools that are ava- able for the modeling, analysis and design of networked control systems. Roughly speaking, the book consists of three parts. The rst part presents architectures for distributed control systems and models of wired and wireless communication n- works. In particular, in the rst chapter important technological and architectural aspects on distributed control systems are discussed. The second chapter provides insight in the behavior of communication channels in terms of delays, packet loss and information constraints leading to suitable modeling paradigms for commu- cation networks.

This book springs from a conference held in Stockholm in May­ June 1988 on Culture, Language and Artificial Intelligence. It assembled more than 300 researchers and practitioners in the fields of technology, philosophy, history of ideas, literature, lin­ guistics, social science, etc. It was an initiative from the Swedish Center for Working Life, based on the project AI-Based Systems and the Future of Language, Knowledge and Responsibility in Professions within the COST 13 programme of the European Commission. Participants in the conference, or in some cases researchers related to its aims, were chosen to contribute to this book. It was preceded by Knowledge, Skill and Artificial Intelligence (ed. B. G6ranzon and 1. Josefson, Springer-Verlag, London, 1988) and will be followed by Dialogue and Technology (ed. M. Florin and B. Goranzon, Springer-Verlag, London, 1990). The contributors'' thinking in this field varies greatly; so do their styles of writing. For example: contributors have varied in their choice of ''he'' or ''he/she'' for the third person. No distinction is intended but chapters have been left with the original usage to avoid extensive changes. Similarly, individual contributor''s preferences as to notes or references lists have been followed. We want to thank our researcher Satinder P. Gill for excellent work with summaries and indexes, and Sandi Irvine of Springer­ Verlag for eminent editorial work.

Essential Mathematical Biology is a self-contained introduction to the fast-growing field of mathematical biology. Written for students with a mathematical background, it sets the subject in its historical context and then guides the reader towards questions of current research interest, providing a comprehensive overview of the field and a solid foundation for interdisciplinary research in the biological sciences. A broad range of topics is covered including: Population dynamics, Infectious diseases, Population genetics and evolution, Dispersal, Molecular and cellular biology, Pattern formation, and Cancer modelling. This book will appeal to 3rd and 4th year undergraduate students studying mathematical biology. A background in calculus and differential equations is assumed, although the main results required are collected in the appendices. A dedicated website at www.springer.co.uk/britton/ accompanies the book and provides furtherexercises, more detailed solutions to exercises in the book, and links to other useful sites.