الصفحة 1
الصفحة 1
Open Quantum Systems I : The Hamiltonian Approach
These books present in a self-contained way the mathematical theories involved in the modeling of such phenomena. They describe physically relevant models, develop their mathematical analysis and derive their physical implications. This Volume, I the Hamiltonian description of quantum open systems is discussed. This includes an introduction to quantum statistical mechanics and its operator algebraic formulation, modular theory, spectral analysis and their applications to quantum dynamical systems.
Ontologies for Software Engineering and Software Technology
The editors structured the contributions into three parts: first, a detailed introduction into the use of ontologies in software engineering and software technology in general; second, the use of ontologies to conceptualize different process-related domains such as software maintenance, software measurement, or SWEBOK, initiated by IEEE; third, the use of ontologies as artifacts in several software processes, like, for example, in OMG’s MOF or MDA.
On Bypass : Advanced Perfusion Techniques
With the introduction of cardiac surgery more than five decades ago and the use of the heart-lung machine for open heart surgical procedures granting the surgeon unlimited time in which to operate inside the heart, a complex task has been given to the Perfusionist. With a pairing of a perfusionist and a surgeon for each chapter, On Bypass: Advanced Perfusion Techniques is an essential collection of techniques and protocols to aid in the difficult and immediate decision making in the operating room. Among the topics covered in this comprehensive text are pediatric perfusion techniques for complex congenital, separation from cardiopumonary bypass, blood flow during cardiopumonary bypass, and minimally invasive perfusion techniques. Also covered is ultrafiltration in cardiac surgery, echocardiography and cardiopulmonary bypass, and advances in long-term pulmonary support.
Observing the Sun with Coronado™ Telescopes
At around the turn of the millennium, the introduction of the Coronado range of solar telescopes and filters heralded the ‘coming of age’ of amateur solar astronomy. Before then, solar astronomy was mostly white-light only. Hydrogen-alpha systems were expensive and difficult to use, but today even the budget-priced Coronado PST (Personal Solar Telescope) provides a band pass of one Angstrom and is thermally stable. That means that today’s amateur solar observers can see – and image – sunspots, flares, prominences, plage, filaments, and active regions of the Sun, all in amazing detail.
Object Recognition, Attention, and Action
This book provides an excellent introduction to the issues that are involved, with chapters that address the ways in which humans and machines attend to, recognize, and act toward objects in the visual environment.
Numerical methods in computational finance : A partial differential equation (PDE/FDM) approach
This book is a detailed and step-by-step introduction to the mathematical foundations of ordinary and partial differential equations, their approximation by the finite difference method and applications to computational finance.
Numerical Approximation Methods for Elliptic Boundary Value Problems : Finite and Boundary Elements
Although the aim of this book is to give a unified introduction into finite and boundary element methods, the main focus is on the numerical analysis of boundary integral and boundary element methods. Starting from the variational formulation of elliptic boundary value problems boundary integral operators and associated boundary integral equations are introduced and analyzed. By using finite and boundary elements corresponding numerical approximation schemes are considered.
Number theory in science and communication : With applications in cryptography, physics, digital information, computing, and self-similarity
"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.
Number Theory : An Introduction via the Distribution of Primes
This book provides an introduction and overview of number theory based on the distribution and properties of primes. This unique approach provides both a firm background in the standard material as well as an overview of the whole discipline. All the essential topics are covered: fundamental theorem of arithmetic, theory of congruences, quadratic reciprocity, arithmetic functions, and the distribution of primes.
Number Theory : An Introduction to Mathematics ; Part B
This book attempts to provide such an understanding of the nature and extent of mathematics. It is a modern introduction to the theory of numbers, emphasizing its connections with other branches of mathematics. This part B is more advanced than the first and should give the reader some idea of the scope of mathematics today. The connecting theme is the theory of numbers. By exploring its many connections with other branches, we may obtain a broad picture.
Number Theory : An Introduction to Mathematics ; Part A
This book attempts to provide such an understanding of the nature and extent of mathematics. It is a modern introduction to the theory of numbers, emphasizing its connections with other branches of mathematics. This part A, which should be accessible to a first-year undergraduate, deals with elementary number theory.
Nuclear Condensed Matter Physics with Synchrotron : Basic Principles, Methodology and Applications
This book provides a comprehensive introduction to the growing field of nuclear condensed matter physics with synchrotron radiation, a technique which finds numerous applications in fields such as magnetism, physics of surfaces and interfaces, lattice dynamics and more. Due to the enormous brilliance of modern synchrotron radiation sources, the method is particularly suited for the investigation of low-dimensional structures such as thin films and nanoparticles. The use of isotopic probe layers, for example, allows one to determine magnetic and vibrational properties with very high spatial resolution; focusing techniques and x-ray interference effects lead to a very high sensitivity for smallest amounts of material. The book is written on an introductory level with many examples employed to illustrate the special experimental possibilities.
Novel Plant Imaging and Analysis : Water, Elements and Gas, Utilizing Radiation and Radioisotopes
This book is only an introduction to show that radiation and radioisotopes (RI) are premier tools to study living plant physiology which leads to new findings. Who had ever imagined that we could see water in a plant? Who had ever imagined that we could see ions moving toward roots in solution? Who had ever imagined that we could see invisible gas (CO2) fixation and movement in a plant? These studies demonstrated for the first time that water, ions and gas can be visualized in living plants, which could be hardly seen by anyone before. This publication summarizes the results obtained by Nakanishi’s lab in The Univ. of Tokyo, based on her original concept and her original tools or systems. It is useful for professional scientists, plant physiologist, and those studying plant imaging.
Notes on Set Theory
This is introduction to axiomatic set theory, viewed both as a foundation of mathematics and as a branch of mathematics with its own subject matter, basic results, open problems.
Nonstandard Analysis
The book is an introduction with emphasis on those more advanced applications in analysis which are hardly accessible by other methods. Examples of such topics are a deeper analysis of certain functionals like Hahn-Banach limits or of finitely additive measures: From the viewpoint of classical analysis these are strange objects whose mere existence is even hard to prove. From the viewpoint of nonstandard analysis, these are rather 'explicit' objects.
NonlinearWaves and Solitons on Contours and Closed Surfaces
The present volume is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such a closed curves and surfaces and other domain contours. It assumes familiarity with basic soliton theory and nonlinear dynamical systems.
Nonlinear Partial Differential Equations with Applications
This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. It balances the abstract functional-analysis approach based on nonlinear monotone, pseudomonotone, weakly continuous, or accretive mappings with concrete partial differential equations in their weak (or more general) formulation. Methods of Galerkin or of Rothe are exposed in a large generality. Other methods include various direct methods, regularization, or fixed points. The exposition leads general theory as fast as possible towards the analysis of concrete equations, which have specific applications in continuum (thermo-) mechanics of solids and fluids, electrically (semi-) conductive media, modelling of biological systems, or in mechanical engineering. Selected parts are rather an introduction into the subject while some others form an advanced textbook. The intended audience is graduate and PhD students and researchers in the theory of partial differential equations or in mathematical modelling of distributed parameter systems.
Nonlinear Ill-posed Problems of Monotone Type
This monograph offers a systematic and thorough exposition of the theory and applications of non-linear equations and variational inequalities with monotone and accretive operators. … The authors have collected, classified, and properly arranged a great deal of results . The present book will certainly help the reader to obtain an introduction to basic ideas and results of the contemporary theory of solution methods for nonlinear monotone problems.
Nonlinear Fokker-Planck Equations : Fundamentals and Applications
Providing an introduction to the theory of nonlinear Fokker-Planck equations, this book discusses fundamental properties of transient and stationary solutions, emphasizing the stability analysis of stationary solutions by means of self-consistency equations, linear stability analysis, and Lyapunov's direct method. Also treated are Langevin equations and correlation functions. Nonlinear Fokker-Planck Equations addresses various phenomena such as phase transitions, multistability of systems, synchronization, anomalous diffusion, cut-off solutions, travelling-wave solutions and the emergence of power law solutions. A nonlinear Fokker-Planck perspective to quantum statistics, generalized thermodynamics, and linear nonequilibrium thermodynamics is given. Theoretical concepts are illustrated where possible by simple examples. The book also reviews several applications in the fields of condensed matter physics, the physics of porous media and liquid crystals, accelerator physics, neurophysics, social sciences, population dynamics, and computational physics.
Nonlinear Dynamics of Chaotic and Stochastic Systems : Tutorial and Modern Developments
This book is a complete treatise on the theory of nonlinear dynamics of chaotic and stochastic systems. It contains both an exhaustive introduction to the subject as well as a detailed discussion of fundamental problems and research results in a field to which the authors have made important contributions themselves.
