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Books > Science & Mathematics > Mathematics > Applied mathematics

Multiresonator-Based Chipless RFID - Barcode of the Future (Hardcover, 2012 ed.): Stevan Preradovic, Nemai Chandra Karmakar Multiresonator-Based Chipless RFID - Barcode of the Future (Hardcover, 2012 ed.)
Stevan Preradovic, Nemai Chandra Karmakar
R2,654 Discovery Miles 26 540 Ships in 18 - 22 working days

This vital new resource offers engineers and researchers a window on important new technology that will supersede the barcode and is destined to change the face of logistics and product data handling. In the last two decades, radio-frequency identification has grown fast, with accelerated take-up of RFID into the mainstream through its adoption by key users such as Wal-Mart, K-Mart and the US Department of Defense. RFID has many potential applications due to its flexibility, capability to operate out of line of sight, and its high data-carrying capacity. Yet despite optimistic projections of a market worth $25 billion by 2018, potential users are concerned about costs and investment returns. Clearly demonstrating the need for a fully printable chipless RFID tag as well as a powerful and efficient reader to assimilate the tag's data, this book moves on to describe both. Introducing the general concepts in the field including technical data, it then describes how a chipless RFID tag can be made using a planar disc-loaded monopole antenna and an asymmetrical coupled spiral multi-resonator. The tag encodes data via the "spectral signature" technique and is now in its third-generation version with an ultra-wide band (UWB) reader operating at between 5 and 10.7GHz.

Statistical Physics for Electrical Engineering (Hardcover, 1st ed. 2018): Neri Merhav Statistical Physics for Electrical Engineering (Hardcover, 1st ed. 2018)
Neri Merhav
R2,436 Discovery Miles 24 360 Ships in 10 - 15 working days

The main body of this book is devoted to statistical physics, whereas much less emphasis is given to thermodynamics. In particular, the idea is to present the most important outcomes of thermodynamics - most notably, the laws of thermodynamics - as conclusions from derivations in statistical physics. Special emphasis is on subjects that are vital to engineering education. These include, first of all, quantum statistics, like the Fermi-Dirac distribution, as well as diffusion processes, both of which are fundamental to a sound understanding of semiconductor devices. Another important issue for electrical engineering students is understanding of the mechanisms of noise generation and stochastic dynamics in physical systems, most notably in electric circuitry. Accordingly, the fluctuation-dissipation theorem of statistical mechanics, which is the theoretical basis for understanding thermal noise processes in systems, is presented from a signals-and-systems point of view, in a way that is readily accessible for engineering students and in relation with other courses in the electrical engineering curriculum, like courses on random processes.

Complex Surveys - Analysis of Categorical Data (Hardcover, 1st ed. 2016): Parimal Mukhopadhyay Complex Surveys - Analysis of Categorical Data (Hardcover, 1st ed. 2016)
Parimal Mukhopadhyay
R3,083 R1,911 Discovery Miles 19 110 Save R1,172 (38%) Ships in 10 - 15 working days

The primary objective of this book is to study some of the research topics in the area of analysis of complex surveys which have not been covered in any book yet. It discusses the analysis of categorical data using three models: a full model, a log-linear model and a logistic regression model. It is a valuable resource for survey statisticians and practitioners in the field of sociology, biology, economics, psychology and other areas who have to use these procedures in their day-to-day work. It is also useful for courses on sampling and complex surveys at the upper-undergraduate and graduate levels. The importance of sample surveys today cannot be overstated. From voters' behaviour to fields such as industry, agriculture, economics, sociology, psychology, investigators generally resort to survey sampling to obtain an assessment of the behaviour of the population they are interested in. Many large-scale sample surveys collect data using complex survey designs like multistage stratified cluster designs. The observations using these complex designs are not independently and identically distributed - an assumption on which the classical procedures of inference are based. This means that if classical tests are used for the analysis of such data, the inferences obtained will be inconsistent and often invalid. For this reason, many modified test procedures have been developed for this purpose over the last few decades.

The Interval Market Model in Mathematical Finance - Game-Theoretic Methods (Hardcover, 2013 ed.): Pierre Bernhard, Jacob C.... The Interval Market Model in Mathematical Finance - Game-Theoretic Methods (Hardcover, 2013 ed.)
Pierre Bernhard, Jacob C. Engwerda, Berend Roorda, J. M Schumacher, Vassili Kolokoltsov, …
R3,190 R2,019 Discovery Miles 20 190 Save R1,171 (37%) Ships in 10 - 15 working days

Toward the late 1990s, several research groups independently began developing new, related theories in mathematical finance. These theories did away with the standard stochastic geometric diffusion "Samuelson" market model (also known as the Black-Scholes model because it is used in that most famous theory), instead opting for models that allowed minimax approaches to complement or replace stochastic methods. Among the most fruitful models were those utilizing game-theoretic tools and the so-called interval market model. Over time, these models have slowly but steadily gained influence in the financial community, providing a useful alternative to classical methods. A self-contained monograph, The Interval Market Model in Mathematical Finance: Game-Theoretic Methods assembles some of the most important results, old and new, in this area of research. Written by seven of the most prominent pioneers of the interval market model and game-theoretic finance, the work provides a detailed account of several closely related modeling techniques for an array of problems in mathematical economics. The book is divided into five parts, which successively address topics including: * probability-free Black-Scholes theory; * fair-price interval of an option; * representation formulas and fast algorithms for option pricing; * rainbow options; * tychastic approach of mathematical finance based upon viability theory. This book provides a welcome addition to the literature, complementing myriad titles on the market that take a classical approach to mathematical finance. It is a worthwhile resource for researchers in applied mathematics and quantitative finance, and has also been written in a manner accessible to financially-inclined readers with a limited technical background.

Dynamics of Complex Autonomous Boolean Networks (Hardcover, 2015 ed.): David P. Rosin Dynamics of Complex Autonomous Boolean Networks (Hardcover, 2015 ed.)
David P. Rosin
R3,576 R3,316 Discovery Miles 33 160 Save R260 (7%) Ships in 10 - 15 working days

This thesis focuses on the dynamics of autonomous Boolean networks, on the basis of Boolean logic functions in continuous time without external clocking. These networks are realized with integrated circuits on an electronic chip as a field programmable gate array (FPGA) with roughly 100,000 logic gates, offering an extremely flexible model system. It allows fast and cheap design cycles and large networks with arbitrary topologies and coupling delays. The author presents pioneering results on theoretical modeling, experimental realization, and selected applications. In this regard, three classes of novel dynamic behavior are investigated: (i) Chaotic Boolean networks are proposed as high-speed physical random number generators with high bit rates. (ii) Networks of periodic Boolean oscillators are home to long-living transient chimera states, i.e., novel patterns of coexisting domains of spatially coherent (synchronized) and incoherent (desynchronized) dynamics. (iii) Excitable networks exhibit cluster synchronization and can be used as fast artificial Boolean neurons whose spiking patterns can be controlled. This work presents the first experimental platform for large complex networks, which will facilitate exciting future developments.

Numerical Calculation for Physics Laboratory Projects Using Microsoft EXCEL (R) (Hardcover): Shinil Cho Numerical Calculation for Physics Laboratory Projects Using Microsoft EXCEL (R) (Hardcover)
Shinil Cho
R2,012 Discovery Miles 20 120 Ships in 18 - 22 working days

This book covers essential Microsoft EXCEL (R)'s computational skills while analyzing introductory physics projects. Topics of numerical analysis include; multiple graphs on the same sheet, calculation of descriptive statistical parameters, a 3-point interpolation, the Euler and the Runge-Kutter methods to solve equations of motion, the Fourier transform to calculate the normal modes of a double pendulum, matrix calculations to solve coupled linear equations of a DC circuit, animation of waves and Lissajous figures, electric and magnetic field calculations from the Poisson equation and its 3D surface graphs, variational calculus such as Fermat's least traveling time principle and the least action principle. Nelson's stochastic quantum dynamics is also introduced to draw quantum particle trajectories.

Simulating Copulas: Stochastic Models, Sampling Algorithms, And Applications (Hardcover): Matthias Scherer, Jan-Frederik Mai Simulating Copulas: Stochastic Models, Sampling Algorithms, And Applications (Hardcover)
Matthias Scherer, Jan-Frederik Mai
R2,796 Discovery Miles 27 960 Ships in 18 - 22 working days

This book provides the reader with a background on simulating copulas and multivariate distributions in general. It unifies the scattered literature on the simulation of various families of copulas (elliptical, Archimedean, Marshall-Olkin type, etc.) as well as on different construction principles (factor models, pair-copula construction, etc.). The book is self-contained and unified in presentation and can be used as a textbook for advanced undergraduate or graduate students with a firm background in stochastics. Alongside the theoretical foundation, ready-to-implement algorithms and many examples make this book a valuable tool for anyone who is applying the methodology.

Noether's Theorems - Applications in Mechanics and Field Theory (Hardcover, 1st ed. 2016): Gennadi Sardanashvily Noether's Theorems - Applications in Mechanics and Field Theory (Hardcover, 1st ed. 2016)
Gennadi Sardanashvily
R2,962 R2,807 Discovery Miles 28 070 Save R155 (5%) Ships in 10 - 15 working days

The book provides a detailed exposition of the calculus of variations on fibre bundles and graded manifolds. It presents applications in such area's as non-relativistic mechanics, gauge theory, gravitation theory and topological field theory with emphasis on energy and energy-momentum conservation laws. Within this general context the first and second Noether theorems are treated in the very general setting of reducible degenerate graded Lagrangian theory.

Advanced Discrete-Time Control - Designs and Applications (Hardcover, 2015 ed.): Khalid Abidi, Jian-Xin Xu Advanced Discrete-Time Control - Designs and Applications (Hardcover, 2015 ed.)
Khalid Abidi, Jian-Xin Xu
R4,134 R3,333 Discovery Miles 33 330 Save R801 (19%) Ships in 10 - 15 working days

This book covers a wide spectrum of systems such as linear and nonlinear multivariable systems as well as control problems such as disturbance, uncertainty and time-delays. The purpose of this book is to provide researchers and practitioners a manual for the design and application of advanced discrete-time controllers. The book presents six different control approaches depending on the type of system and control problem. The first and second approaches are based on Sliding Mode control (SMC) theory and are intended for linear systems with exogenous disturbances. The third and fourth approaches are based on adaptive control theory and are aimed at linear/nonlinear systems with periodically varying parametric uncertainty or systems with input delay. The fifth approach is based on Iterative learning control (ILC) theory and is aimed at uncertain linear/nonlinear systems with repeatable tasks and the final approach is based on fuzzy logic control (FLC) and is intended for highly uncertain systems with heuristic control knowledge. Detailed numerical examples are provided in each chapter to illustrate the design procedure for each control method. A number of practical control applications are also presented to show the problem solving process and effectiveness with the advanced discrete-time control approaches introduced in this book.

Classical Newtonian Gravity - A Comprehensive Introduction, with Examples and Exercises (Hardcover, 1st ed. 2019): Roberto A.... Classical Newtonian Gravity - A Comprehensive Introduction, with Examples and Exercises (Hardcover, 1st ed. 2019)
Roberto A. Capuzzo Dolcetta
R2,088 Discovery Miles 20 880 Ships in 18 - 22 working days

This textbook offers a readily comprehensible introduction to classical Newtonian gravitation, which is fundamental for an understanding of classical mechanics and is particularly relevant to Astrophysics. The opening chapter recalls essential elements of vectorial calculus, especially to provide the formalism used in subsequent chapters. In chapter two Classical Newtonian gravity theory for one point mass and for a generic number N of point masses is then presented and discussed. The theory for point masses is naturally extended to the continuous case. The third chapter addresses the paradigmatic case of spherical symmetry in the mass density distribution (central force), with introduction of the useful tool of qualitative treatment of motion. Subsequent chapters discuss the general case of non-symmetric mass density distribution and develop classical potential theory, with elements of harmonic theory, which is essential to understand the potential development in series of the gravitational potential, the subject of the fourth chapter. Finally, in the last chapter the specific case of motion of a satellite around the earth is considered. Examples and exercises are presented throughout the book to clarify aspects of the theory. The book is aimed at those who wish to progress further beyond an initial bachelor degree, onward to a master degree, and a PhD. It is also a valuable resource for postgraduates and active researchers in the field.

Continuous Nonlinear Optimization for Engineering Applications in GAMS Technology (Hardcover, 1st ed. 2017): Neculai Andrei Continuous Nonlinear Optimization for Engineering Applications in GAMS Technology (Hardcover, 1st ed. 2017)
Neculai Andrei
R3,006 Discovery Miles 30 060 Ships in 10 - 15 working days

This book presents the theoretical details and computational performances of algorithms used for solving continuous nonlinear optimization applications imbedded in GAMS. Aimed toward scientists and graduate students who utilize optimization methods to model and solve problems in mathematical programming, operations research, business, engineering, and industry, this book enables readers with a background in nonlinear optimization and linear algebra to use GAMS technology to understand and utilize its important capabilities to optimize algorithms for modeling and solving complex, large-scale, continuous nonlinear optimization problems or applications. Beginning with an overview of constrained nonlinear optimization methods, this book moves on to illustrate key aspects of mathematical modeling through modeling technologies based on algebraically oriented modeling languages. Next, the main feature of GAMS, an algebraically oriented language that allows for high-level algebraic representation of mathematical optimization models, is introduced to model and solve continuous nonlinear optimization applications. More than 15 real nonlinear optimization applications in algebraic and GAMS representation are presented which are used to illustrate the performances of the algorithms described in this book. Theoretical and computational results, methods, and techniques effective for solving nonlinear optimization problems, are detailed through the algorithms MINOS, KNITRO, CONOPT, SNOPT and IPOPT which work in GAMS technology.

Problems of Point Blast Theory (Hardcover, 1991 ed.): V.P. Korobeinikov Problems of Point Blast Theory (Hardcover, 1991 ed.)
V.P. Korobeinikov
R2,864 Discovery Miles 28 640 Ships in 18 - 22 working days

Problems of Point Blast Theory covers all the main topics of modern theory with the exception of applications to nova and supernova outbursts. All the presently known theoretical results are given and problems which are still to be resolved are indicated. A special feature of the book is the sophisticated mathematical approach. Of interest to specialists and graduate students working in hydrodynamics, explosion theory, plasma physics, mathematical physics, and applied mathematics.

Advances in Applied Mathematics, Modeling, and Computational Science (Hardcover, 2013 ed.): Roderick Melnik, Ilias S. Kotsireas Advances in Applied Mathematics, Modeling, and Computational Science (Hardcover, 2013 ed.)
Roderick Melnik, Ilias S. Kotsireas
R3,350 Discovery Miles 33 500 Ships in 10 - 15 working days

The volume presents a selection of in-depth studies and state-of-the-art surveys of several challenging topics that are at the forefront of modern applied mathematics, mathematical modeling, and computational science. These three areas represent the foundation upon which the methodology of mathematical modeling and computational experiment is built as a ubiquitous tool in all areas of mathematical applications. This book covers both fundamental and applied research, ranging from studies of elliptic curves over finite fields with their applications to cryptography, to dynamic blocking problems, to random matrix theory with its innovative applications. The book provides the reader with state-of-the-art achievements in the development and application of new theories at the interface of applied mathematics, modeling, and computational science.

This book aims at fostering interdisciplinary collaborations required to meet the modern challenges of applied mathematics, modeling, and computational science. At the same time, the contributions combine rigorous mathematical and computational procedures and examples from applications ranging from engineering to life sciences, providing a rich ground for graduate student projects.

Computational Intelligence for Network Structure Analytics (Hardcover, 1st ed. 2017): Maoguo Gong, Qing Cai, Lijia Ma, Shanfeng... Computational Intelligence for Network Structure Analytics (Hardcover, 1st ed. 2017)
Maoguo Gong, Qing Cai, Lijia Ma, Shanfeng Wang, Yu Lei
R3,397 Discovery Miles 33 970 Ships in 10 - 15 working days

This book presents the latest research advances in complex network structure analytics based on computational intelligence (CI) approaches, particularly evolutionary optimization. Most if not all network issues are actually optimization problems, which are mostly NP-hard and challenge conventional optimization techniques. To effectively and efficiently solve these hard optimization problems, CI based network structure analytics offer significant advantages over conventional network analytics techniques. Meanwhile, using CI techniques may facilitate smart decision making by providing multiple options to choose from, while conventional methods can only offer a decision maker a single suggestion. In addition, CI based network structure analytics can greatly facilitate network modeling and analysis. And employing CI techniques to resolve network issues is likely to inspire other fields of study such as recommender systems, system biology, etc., which will in turn expand CI's scope and applications. As a comprehensive text, the book covers a range of key topics, including network community discovery, evolutionary optimization, network structure balance analytics, network robustness analytics, community-based personalized recommendation, influence maximization, and biological network alignment. Offering a rich blend of theory and practice, the book is suitable for students, researchers and practitioners interested in network analytics and computational intelligence, both as a textbook and as a reference work.

Empirical Modeling and Data Analysis for Engineers and Applied Scientists (Hardcover, 1st ed. 2016): Scott A Pardo Empirical Modeling and Data Analysis for Engineers and Applied Scientists (Hardcover, 1st ed. 2016)
Scott A Pardo; Contributions by Yehudah A Pardo
R2,284 Discovery Miles 22 840 Ships in 18 - 22 working days

This textbook teaches advanced undergraduate and first-year graduate students in Engineering and Applied Sciences to gather and analyze empirical observations (data) in order to aid in making design decisions. While science is about discovery, the primary paradigm of engineering and "applied science" is design. Scientists are in the discovery business and want, in general, to understand the natural world rather than to alter it. In contrast, engineers and applied scientists design products, processes, and solutions to problems. That said, statistics, as a discipline, is mostly oriented toward the discovery paradigm. Young engineers come out of their degree programs having taken courses such as "Statistics for Engineers and Scientists" without any clear idea as to how they can use statistical methods to help them design products or processes. Many seem to think that statistics is only useful for demonstrating that a device or process actually does what it was designed to do. Statistics courses emphasize creating predictive or classification models - predicting nature or classifying individuals, and statistics is often used to prove or disprove phenomena as opposed to aiding in the design of a product or process. In industry however, Chemical Engineers use designed experiments to optimize petroleum extraction; Manufacturing Engineers use experimental data to optimize machine operation; Industrial Engineers might use data to determine the optimal number of operators required in a manual assembly process. This text teaches engineering and applied science students to incorporate empirical investigation into such design processes. Much of the discussion in this book is about models, not whether the models truly represent reality but whether they adequately represent reality with respect to the problems at hand; many ideas focus on how to gather data in the most efficient way possible to construct adequate models. Includes chapters on subjects not often seen together in a single text (e.g., measurement systems, mixture experiments, logistic regression, Taguchi methods, simulation) Techniques and concepts introduced present a wide variety of design situations familiar to engineers and applied scientists and inspire incorporation of experimentation and empirical investigation into the design process. Software is integrally linked to statistical analyses with fully worked examples in each chapter; fully worked using several packages: SAS, R, JMP, Minitab, and MS Excel - also including discussion questions at the end of each chapter. The fundamental learning objective of this textbook is for the reader to understand how experimental data can be used to make design decisions and to be familiar with the most common types of experimental designs and analysis methods.

Mathematical Modeling for Complex Fluids and Flows (Hardcover, 2012 ed.): Michel Deville, Thomas B. Gatski Mathematical Modeling for Complex Fluids and Flows (Hardcover, 2012 ed.)
Michel Deville, Thomas B. Gatski
R1,433 Discovery Miles 14 330 Ships in 18 - 22 working days

Mathematical Modeling for Complex Fluids and Flows provides researchers and engineering practitioners encountering fluid flows with state-of-the-art knowledge in continuum concepts and associated fluid dynamics. In doing so it supplies the means to design mathematical models of these flows that adequately express the engineering physics involved. It exploits the implicit link between the turbulent flow of classical Newtonian fluids and the laminar and turbulent flow of non-Newtonian fluids such as those required in food processing and polymeric flows.

The book develops a descriptive mathematical model articulated through continuum mechanics concepts for these non-Newtonian, viscoelastic fluids and turbulent flows. Each complex fluid and flow is examined in this continuum context as well as in combination with the turbulent flow of viscoelastic fluids. Some details are also explored via kinetic theory, especially viscoelastic fluids and their treatment with the Boltzmann equation. Both solution and modeling strategies for turbulent flows are laid out using continuum concepts, including a description of constructing polynomial representations and accounting for non-inertial and curvature effects.

Ranging from fundamental concepts to practical methodology, and including discussion of emerging technologies, this book is ideal for those requiring a single-source assessment of current practice in this intricate yet vital field.

Data Assimilation for Atmospheric, Oceanic and Hydrologic Applications (Vol. II) (Hardcover, 2013 ed.): Seon Ki Park, Liang Xu Data Assimilation for Atmospheric, Oceanic and Hydrologic Applications (Vol. II) (Hardcover, 2013 ed.)
Seon Ki Park, Liang Xu
R5,275 Discovery Miles 52 750 Ships in 18 - 22 working days

This book contains the most recent progress in data assimilation in meteorology, oceanography and hydrology including land surface. It spans both theoretical and applicative aspects with various methodologies such as variational, Kalman filter, ensemble, Monte Carlo and artificial intelligence methods. Besides data assimilation, other important topics are also covered including targeting observation, sensitivity analysis, and parameter estimation. The book will be useful to individual researchers as well as graduate students for a reference in the field of data assimilation.

Physics of Transitional Shear Flows - Instability and Laminar-Turbulent Transition in Incompressible Near-Wall Shear Layers... Physics of Transitional Shear Flows - Instability and Laminar-Turbulent Transition in Incompressible Near-Wall Shear Layers (Hardcover, 2012 ed.)
Andrey V Boiko, Alexander V. Dovgal, Genrih R Grek, Victor V. Kozlov
R2,682 Discovery Miles 26 820 Ships in 18 - 22 working days

Starting from fundamentals of classical stability theory, an overview is given of the transition phenomena in subsonic, wall-bounded shear flows. At first, the consideration focuses on elementary small-amplitude velocity perturbations of laminar shear layers, i.e. instability waves, in the simplest canonical configurations of a plane channel flow and a flat-plate boundary layer. Then the linear stability problem is expanded to include the effects of pressure gradients, flow curvature, boundary-layer separation, wall compliance, etc. related to applications. Beyond the amplification of instability waves is the non-modal growth of local stationary and non-stationary shear flow perturbations which are discussed as well. The volume continues with the key aspect of the transition process, that is, receptivity of convectively unstable shear layers to external perturbations, summarizing main paths of the excitation of laminar flow disturbances. The remainder of the book addresses the instability phenomena found at late stages of transition. These include secondary instabilities and nonlinear features of boundary-layer perturbations that lead to the final breakdown to turbulence. Thus, the reader is provided with a step-by-step approach that covers the milestones and recent advances in the laminar-turbulent transition. Special aspects of instability and transition are discussed through the book and are intended for research scientists, while the main target of the book is the student in the fundamentals of fluid mechanics. Computational guides, recommended exercises, and PowerPoint multimedia notes based on results of real scientific experiments supplement the monograph. These are especially helpful for the neophyte to obtain a solid foundation in hydrodynamic stability. To access the supplementary material go to extras.springer.com and type in the ISBN for this volume.

Recent Results on Nonlinear Delay Control Systems - In honor of Miroslav Krstic (Hardcover, 1st ed. 2016): Iasson Karafyllis,... Recent Results on Nonlinear Delay Control Systems - In honor of Miroslav Krstic (Hardcover, 1st ed. 2016)
Iasson Karafyllis, Michael Malisoff, Frederic Mazenc, Pepe Pierdomenico
R4,611 R3,539 Discovery Miles 35 390 Save R1,072 (23%) Ships in 10 - 15 working days

This volume collects recent advances in nonlinear delay systems, with an emphasis on constructive generalized Lyapunov and predictive approaches that certify stability properties. The book is written by experts in the field and includes two chapters by Miroslav Krstic, to whom this volume is dedicated. This volume is suitable for all researchers in mathematics and engineering who deal with nonlinear delay control problems and students who would like to understand the current state of the art in the control of nonlinear delay systems.

Regularity and Stochasticity of Nonlinear Dynamical Systems (Hardcover, 1st ed. 2018): Dimitri Volchenkov, Xavier Leoncini Regularity and Stochasticity of Nonlinear Dynamical Systems (Hardcover, 1st ed. 2018)
Dimitri Volchenkov, Xavier Leoncini
R4,498 R3,428 Discovery Miles 34 280 Save R1,070 (24%) Ships in 10 - 15 working days

This book presents recent developments in nonlinear dynamics and physics with an emphasis on complex systems. The contributors provide recent theoretic developments and new techniques to solve nonlinear dynamical systems and help readers understand complexity, stochasticity, and regularity in nonlinear dynamical systems. This book covers integro-differential equation solvability, Poincare recurrences in ergodic systems, orientable horseshoe structure, analytical routes of periodic motions to chaos, grazing on impulsive differential equations, from chaos to order in coupled oscillators, and differential-invariant solutions for automorphic systems, inequality under uncertainty.

Interfacial Wave Theory of Pattern Formation in Solidification - Dendrites, Fingers, Cells and Free Boundaries (Hardcover, 2nd... Interfacial Wave Theory of Pattern Formation in Solidification - Dendrites, Fingers, Cells and Free Boundaries (Hardcover, 2nd ed. 2017)
Jian-Jun Xu
R3,948 Discovery Miles 39 480 Ships in 18 - 22 working days

This comprehensive work explores interfacial instability and pattern formation in dynamic systems away from the equilibrium state in solidification and crystal growth. Further, this significantly expanded 2nd edition introduces and reviews the progress made during the last two decades. In particular, it describes the most prominent pattern formation phenomena commonly observed in material processing and crystal growth in the framework of the previously established interfacial wave theory, including free dendritic growth from undercooled melt, cellular growth and eutectic growth in directional solidification, as well as viscous fingering in Hele-Shaw flow. It elucidates the key problems, systematically derives their mathematical solutions by pursuing a unified, asymptotic approach, and finally carefully examines these results by comparing them with the available experimental results. The asymptotic approach described here will be useful for the investigation of pattern formation phenomena occurring in a much broader class of inhomogeneous dynamical systems. In addition, the results on global stability and selection mechanisms of pattern formation will be of particular interest to researchers working on material processing and crystal growth. The stability mechanisms of a curved front and the pattern formation have been fundamental subjects in the areas of condensed-matter physics, materials science, crystal growth, and fluid mechanics for some time now. This book offers a stimulating and insightful introduction for all physicists, engineers and applied mathematicians working in the fields of soft condensed-matter physics, materials science, mechanical and chemical engineering, fluid dynamics, and nonlinear sciences.

Elementary Introduction To Stochastic Interest Rate Modeling, An (2nd Edition) (Hardcover, 2nd Revised edition): Nicolas... Elementary Introduction To Stochastic Interest Rate Modeling, An (2nd Edition) (Hardcover, 2nd Revised edition)
Nicolas Privault
R2,176 Discovery Miles 21 760 Ships in 18 - 22 working days

Interest rate modeling and the pricing of related derivatives remain subjects of increasing importance in financial mathematics and risk management. This book provides an accessible introduction to these topics by a step-by-step presentation of concepts with a focus on explicit calculations. Each chapter is accompanied with exercises and their complete solutions, making the book suitable for advanced undergraduate and graduate level students.This second edition retains the main features of the first edition while incorporating a complete revision of the text as well as additional exercises with their solutions, and a new introductory chapter on credit risk. The stochastic interest rate models considered range from standard short rate to forward rate models, with a treatment of the pricing of related derivatives such as caps and swaptions under forward measures. Some more advanced topics including the BGM model and an approach to its calibration are also covered.

Planar Waveguides and other Confined Geometries - Theory, Technology, Production, and Novel Applications (Hardcover, 2015 ed.):... Planar Waveguides and other Confined Geometries - Theory, Technology, Production, and Novel Applications (Hardcover, 2015 ed.)
Gerd Marowsky
R3,687 R3,427 Discovery Miles 34 270 Save R260 (7%) Ships in 10 - 15 working days

This book provides a comprehensive overview of the theoretical concepts and experimental applications of planar waveguides and other confined geometries, such as optical fibres. Covering a broad array of advanced topics, it begins with a sophisticated discussion of planar waveguide theory, and covers subjects including efficient production of planar waveguides, materials selection, nonlinear effects, and applications including species analytics down to single-molecule identification, and thermo-optical switching using planar waveguides. Written by specialists in the techniques and applications covered, this book will be a useful resource for advanced graduate students and researchers studying planar waveguides and optical fibers.

Algorithms and Complexity in Mathematics, Epistemology, and Science - Proceedings of 2015 and 2016 ACMES Conferences... Algorithms and Complexity in Mathematics, Epistemology, and Science - Proceedings of 2015 and 2016 ACMES Conferences (Hardcover, 1st ed. 2019)
Nicolas Fillion, Robert M. Corless, Ilias S. Kotsireas
R2,684 Discovery Miles 26 840 Ships in 18 - 22 working days

ACMES (Algorithms and Complexity in Mathematics, Epistemology, and Science) is a multidisciplinary conference series that focuses on epistemological and mathematical issues relating to computation in modern science. This volume includes a selection of papers presented at the 2015 and 2016 conferences held at Western University that provide an interdisciplinary outlook on modern applied mathematics that draws from theory and practice, and situates it in proper context. These papers come from leading mathematicians, computational scientists, and philosophers of science, and cover a broad collection of mathematical and philosophical topics, including numerical analysis and its underlying philosophy, computer algebra, reliability and uncertainty quantification, computation and complexity theory, combinatorics, error analysis, perturbation theory, experimental mathematics, scientific epistemology, and foundations of mathematics. By bringing together contributions from researchers who approach the mathematical sciences from different perspectives, the volume will further readers' understanding of the multifaceted role of mathematics in modern science, informed by the state of the art in mathematics, scientific computing, and current modeling techniques.

Fractured Fractals and Broken Dreams - Self-similar Geometry through Metric and Measure (Hardcover): Guy David, Stephen Semmes Fractured Fractals and Broken Dreams - Self-similar Geometry through Metric and Measure (Hardcover)
Guy David, Stephen Semmes
R4,287 Discovery Miles 42 870 Ships in 10 - 15 working days

This book proposes new notions of coherent geometric structure. Fractal patterns have emerged in many contexts, but what exactly is a "pattern" and what is not? How can one make precise the structures lying within objects and the relationships between them? The foundations laid herein provide a fresh approach to a familiar field. From this emerges a wide range of open problems, large and small, and a variety of examples with diverse connections to other parts of mathematics. One of the main features of the present text is that the basic framework is completely new. This makes it easier for people to get into the field. There are many open problems, with plenty of opportunities that are likely to be close at hand, particularly as concerns the exploration of examples. On the other hand the general framework is quite broad and provides the possibility for future discoveries of some magnitude. Fractual geometries can arise in many different ways mathematically, but there is not so much general language for making comparisons. This book provides some tools for doing this, and a place where researchers in different areas can find common ground and basic information.

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