Fundamentals in Nuclear Physics

Fundamentals in Nuclear Physics

This course explores nuclear physics and its applications ranging from the structure of nuclei and their reactions, to astrophysics and cosmology. The physics is introduced with arguments based on simple ideas such as the empirical structure of nuclear forces and its interplay with the Pauli principle and Coulomb repulsion. The book then develops elementary nuclear models and illustrates nuclear systematics with experimental data. Reactions and decays are discussed both phenomenologically and from the point of view of fundamental electro-weak interaction theory. The discussions of fission and fusion emphasize nuclear energy production. This leads directly into nuclear astrophysics and nucleosynthesis. The book ends with a presentation of the latest ideas about cosmology. As a primer this course will lay the foundations for more specialized subjects within the vast domain of nuclear physics as a whole.

Fundamentals in Nuclear Physics

Introductory Real Analysis

Introductory Real Analysis

Self-contained and comprehensive, this elementary introduction to real and functional analysis is readily accessible to those with background in advanced calculus. It covers basic concepts and introductory principles in set theory, metric spaces, topological and linear spaces, linear functionals and linear operators, and much more. 350 problems. 1970 edition.

Introductory Real Analysis

Probabilistic Modeling in Bioinformatics and Medical Informatics

Probabilistic Modeling in Bioinformatics and Medical Informatics

Probabilistic Modelling in Bioinformatics and Medical Informatics has been written for researchers and students in statistics, machine learning, and the biological sciences. The first part of this book provides a self-contained introduction to the methodology of Bayesian networks. The following parts demonstrate how these methods are applied in bioinformatics and medical informatics. All three fields – the methodology of probabilistic modeling, bioinformatics, and medical informatics – are evolving very quickly. The text should therefore be seen as an introduction, offering both elementary tutorials as well as more advanced applications and case studies.

Probabilistic Modeling in Bioinformatics and Medical Informatics

Weighing the World

Weighing the World

The book about John Michell (1724-93) has two parts. The first and longest part is biographical, an account of Michell ‘s home setting (Nottinghamshire in England), the clerical world in which he grew up (Church of England), the university (Cambridge) where he studied and taught, and the scientific activities he made the center of his life. The second part is a complete edition of his known letters. Half of his letters have not been previously published; the other half are brought together in one place for the first time. The letters touch on all aspects of his career, and because they are in his words, they help bring the subject to life. His publications were not many, a slim book on magnets and magnetism, one paper on geology, two papers on astronomy, and a few brief papers on other topics, but they were enough to leave a mark on several sciences. He has been called a geologist, an astronomer, and a physicist, which he was, though we best remember him as a natural philosopher, as one who investigated physical nature broadly. His scientific contribution is not easy to summarize. Arguably he had the broadest competence of any British natural philosopher of the eighteenth century: equally skilled in experiment and observation, mathematical theory, and instruments, his field of inquiry was the universe. From the structure of the heavens through the structure of the Earth to the forces of the elementary particles of matter, he carried out original and far-reaching researches on the workings of nature.

Weighing the World

Axions

Axions

Axions are peculiar hypothetical particles that could both solve the CP problem of quantum chromodynamics and at the same time account for the dark matter of the universe. Based on a series of lectures by world experts in this field held at CERN (Geneva), this volume provides a pedagogical introduction to the theory, cosmology and astrophysics of these fascinating particles and gives an up-to-date account of the status and prospect of ongoing and planned experimental searches. Learners and practitioners of astroparticle physics will find in this book both a concise introduction and a current reference work to a showcase topic that connects the ‘inner space’ of the elementary particle world with the ‘outer space’ of the universe at large.

Axions

Introduction to Stochastic Calculus for Finance

Introduction to Stochastic Calculus for Finance

The large number of already available textbooks on stochastic calculus with specific applications to finance requires a justification for another contribution to this subject. The justifcation is mainly pedagogical. These lecture notes start with an elementary approach to stochastic calculus due to Fllmer, who showed that one can develop Ito’s calculus ‘pathwise’ as an exercise in real analysis. The text opens to students interested in finance a quick (but by no means ‘dirty’) road to the tools required for advanced finance in continuous time, including option pricing by martingale methods, term structure models in a HJM-framework and the Libor market model. The reader is supposed only to be familiar with elementary real analysis (e.g. Taylor’s Theorem) and basic probability theory. The text is also useful for mathematicians interested in the methods of modern mathematical finance without prior knowledge of advanced stochastic analysis.

Introduction to Stochastic Calculus for Finance

Introduction to Probability

Introduction to Probability

Introduction to Probability, Second Edition, is written for students in statistics, mathematics, engineering, computer science, operations research, actuarial science, biological sciences, economics, physics, and some of the social sciences with a background in a year-long elementary calculus, taking upper level or graduate level introduction to probability courses. Roussas utilizes his trademark clarity and economy of expression to elucidate important concepts of probability, while providing a plethora of useful examples and exercises of real world applications for students to consider.

Introduction to Probability

Schaums Outline of theory and Problems of Elementary Algebra, Third Edition

Schaums Outline of theory and Problems of Elementary Algebra, Third Edition

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Schaums Outline of theory and Problems of Elementary Algebra, Third Edition

A First Course in Fourier Analysis

A First Course in Fourier Analysis

This unique book provides a meaningful resource for applied mathematics through Fourier analysis. It develops a unified theory of discrete and continuous (univariate) Fourier analysis, the fast Fourier transform, and a powerful elementary theory of generalized functions and shows how these mathematical ideas can be used to study sampling theory, PDEs, probability, diffraction, musical tones, and wavelets. The book contains an unusually complete presentation of the Fourier transform calculus. It uses concepts from calculus to present an elementary theory of generalized functions. FT calculus and generalized functions are then used to study the wave equation, diffusion equation, and diffraction equation. Real-world applications of Fourier analysis are described in the chapter on musical tones. A valuable reference on Fourier analysis for a variety of students and scientific professionals, including mathematicians, physicists, chemists, geologists, electrical engineers, mechanical engineers, and others.

A First Course in Fourier Analysis

Equivariant Degree Theory

Equivariant Degree Theory

This book presents a new degree theory for maps which commute with a group of symmetries. This degree is no longer a single integer but an element of the group of equivariant homotopy classes of maps between two spheres and depends on the orbit types of the spaces. The authors develop completely the theory and applications of this degree in a self-contained presentation starting with only elementary facts. The first chapter explains the basic tools of representation theory, homotopy theory and differential equations needed in the text. Then the degree is defined and its main abstract properties are derived. The next part is devoted to the study of equivariant homotopy groups of spheres and to the classification of equivariant maps in the case of abelian actions. These groups are explicitely computed and the effects of symmetry breaking, products and composition are thorougly studied. The last part deals with computations of the equivariant index of an isolated orbit and of an isolated loop of stationary points. Here differential equations in a variety of situations are considered: symmetry breaking, forcing, period doubling, twisted orbits, first integrals, gradients etc. Periodic solutions of Hamiltonian systems, in particular spring-pendulum systems, are studied as well as Hopf bifurcation for all these situations.

Equivariant Degree Theory

A Distributed Pi-Calculus

A Distributed Pi-Calculus

Distributed systems are fast becoming the norm in computer science. Formal mathematical models and theories of distributed behavior are needed in order to understand them. This book proposes a distributed pi-calculus called Dpi, for describing the behavior of mobile agents in a distributed world. It is based on an existing formal language, the pi-calculus, to which it adds a network layer and a primitive migration construct. A mathematical theory of the behavior of these distributed systems is developed, in which the presence of types plays a major role. It is also shown how in principle this theory can be used to develop verification techniques for guaranteeing the behavior of distributed agents. The text is accessible to computer scientists with a minimal background in discrete mathematics. It contains an elementary account of the pi-calculus, and the associated theory of bisimulations. It also develops the type theory required by Dpi from first principles.

A Distributed Pi-Calculus

Martin Schechter Minimax Systems and Critical Point Theory

Martin Schechter Minimax Systems and Critical Point Theory

Many problems in science and engineering involve the solution of differential equations or systems. One of most successful methods of solving nonlinear equations is the determination of critical points of corresponding functionals. The study of critical points has grown rapidly in recent years and has led to new applications in other scientific disciplines. This monograph continues this theme and studies new results discovered since the author’s preceding book entitled Linking Methods in Critical Point Theory. Written in a clear, sequential exposition, topics include semilinear problems, Fucik spectrum, multidimensional nonlinear wave equations, elliptic systems, and sandwich pairs, among others. With numerous examples and applications, this book explains the fundamental importance of minimax systems and describes how linking methods fit into the framework. Minimax Systems and Critical Point Theory is accessible to graduate students with some background in functional analysis, and the new material makes this book a useful reference for researchers and mathematicians. Review of the author’s previous Birkhuser work, Linking Methods in Critical Point Theory: The applications of the abstract theory are to the existence of (nontrivial) weak solutions of semilinear elliptic boundary value problems for partial differential equations, written in the form Au = f(x, u). . . . The author essentially shows how his methods can be applied whenever the nonlinearity has sublinear growth, and the associated functional may increase at a certain rate in every direction of the underlying space. This provides an elementary approach to such problems. . . . A clear overview of the contents of the book is presented in the first chapter, while bibliographical comments and variant results are described in the last one. -MathSciNet

Martin Schechter Minimax Systems and Critical Point Theory

Saddlepoint Approximations with Applications

Saddlepoint Approximations with Applications

Modern statistical methods use complex, sophisticated models that can lead to intractable computations. Saddlepoint approximations can be the answer. Written from the user’s point of view, this book explains in clear language how such approximate probability computations are made, taking readers from the very beginnings to current applications. The core material is presented in chapters 1-6 at an elementary mathematical level. Chapters 7-9 then give a highly readable account of higher-order asymptotic inference. Later chapters address areas where saddlepoint methods have had substantial impact: multivariate testing, stochastic systems and applied probability, bootstrap implementation in the transform domain, and Bayesian computation and inference. No previous background in the area is required. Data examples from real applications demonstrate the practical value of the methods. Ideal for graduate students and researchers in statistics, biostatistics, electrical engineering, econometrics, and applied mathematics, this is both an entry-level text and a valuable reference.

Saddlepoint Approximations with Applications

Microcircuits

Microcircuits

Microcircuits, functional modules that act as elementary processing units bridging single cells to systems and behavior, could provide the link between neurons and global brain function. Microcircuits are designed to serve particular functions; examples of these functional modules include the cortical columns in sensory cortici, glomeruli in the olfactory systems of insects and vertebrates, and networks generating different aspects of motor behavior. In this Dahlem Workshop volume, leading neuroscientists discuss how microcircuits work to bridge the single cell and systems levels and compare the intrinsic function of microcircuits with their ion channel subtypes, connectivity, and receptors, in order to understand the design principles and function of the microcircuits.

Microcircuits

A Primer of Signal Detection Theory

A Primer of Signal Detection Theory

A Primer of Signal Detection Theory is being reprinted to fill the gap in literature on Signal Detection Theory–a theory that is still important in psychology, hearing, vision, audiology, and related subjects. This book is intended to present the methods of Signal Detection Theory to a person with a basic mathematical background. It assumes knowledge only of elementary algebra and elementary statistics. Symbols and terminology are kept at a basic level so that the eventual and hoped for transfer to a more advanced text will be accomplished as easily as possible.

A Primer of Signal Detection Theory

Introduction to Non-Euclidean Geometry

Introduction to Non-Euclidean Geometry

One of the first college-level texts for elementary courses in non-Euclidean geometry, this concise, readable volume is geared toward students familiar with calculus. A full treatment of the historical background explores the centuries-long efforts to prove Euclid’s parallel postulate and their triumphant conclusion. Numerous original exercises form an integral part of the book.

Introduction to Non-Euclidean Geometry

Speakout Elementary Workbook

Speakout Elementary Workbook

Speakout is a comprehensive English course that helps adult learners gain confidence in all skills areas using authentic materials from the BBC. With its wide range of support material, it meets the diverse needs of learners in a variety of teaching situations and helps bridge the gap between the classroom and the real world.

Speakout Elementary Workbook

Lectures on Quantum Mechanics

Lectures on Quantum Mechanics

Beautifully illustrated and engagingly written, Twelve Lectures in Quantum Mechanics presents theoretical physics with a breathtaking array of examples and anecdotes. Basdevants style is clear and stimulating, in the manner of a brisk lecture that can be followed with ease and enjoyment. Here is a sample of the books style, from the opening of Chapter 1: ‘If one were to ask a passer-by to quote a great formula of physics, chances are that the answer would be E = mc2. There is no way around it: all physics is quantum, from elementary particles, to stellar physics and the Big Bang, not to mention semiconductors and solar cells.’

Lectures on Quantum Mechanics

Spelling Connections, Grade 2

Spelling Connections, Grade 2

Spelling. connections 2. english. phonics. writing. grammar. literature. grade 2. two. elementary school. homeschool. zane Bloser. spelling. textbook. guide. reading. teacher. curriculum. educational.

Spelling Connections, Grade 2

Elementary Methods in Analytic Number Theory

Elementary Methods in Analytic Number Theory

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Elementary Methods in Analytic Number Theory