Mathematical modelling Books
World Scientific Publishing Europe Ltd Modelling And Computational Approaches For
Book Synopsis
£95.00
Imperial College Press International Assessment Of Research And
Book SynopsisSimulation-Based Engineering and Science (SBE&S) cuts across disciplines, showing tremendous promise in areas from storm prediction and climate modeling to understanding the brain and the behavior of numerous other complex systems.In this groundbreaking volume, nine distinguished leaders assess the latest research trends, as a result of 52 site visits in Europe and Asia and hundreds of hours of expert interviews, and discuss the implications of their findings for the US government.The authors conclude that while the US remains the quantitative leader in SBE&S research and development, it is very much in danger of losing that edge to Europe and Asia.Commissioned by the National Science Foundation, this multifaceted study will capture the attention of Fortune 500 companies and policymakers.Distinguished contributors:Sharon C Goltzer, University of Michigan, Ann Arbor, USASangtae Kim, Morgridge Institute for Research, USAPeter T Cummings, Vanderbilt University, USA and Oak Ridge National Laboratory, USAAbhijit Deshmukh, Texas A&M University, USAMartin Head-Gordon, University of California, Berkeley, USAGeorge Em Karniadakis, Brown University, USALinda Petzold, University of California, Santa Barbara, USACeleste Sagui, North Carolina State University, USAMasanobu Shinozuka, University of California, Irvine, USATable of ContentsIntroduction (S C Goltzer); Life Sciences and Medicine (L Petzold); Materials Simulation (P T Cummings); Energy and Sustainability (M Shinozuka); Next-Generation Architectures and Algorithms (G E Karniadakis); Software Development (M Head-Gordon); Engineering Simulations (A Deshmukh); Verification, Validation, and Uncertainty Quantification (G E Karniadakis); Multiscale Simulation (P T Cummings); Big Data, Visualization, and Data-Driven Simulations (S Kim); Education and Training (C Saui).
£103.50
Imperial College Press Geometric Mechanics - Part I: Dynamics And
Book SynopsisSee also GEOMETRIC MECHANICS — Part II: Rotating, Translating and Rolling (2nd Edition) This textbook introduces the tools and language of modern geometric mechanics to advanced undergraduates and beginning graduate students in mathematics, physics and engineering. It treats the fundamental problems of dynamical systems from the viewpoint of Lie group symmetry in variational principles. The only prerequisites are linear algebra, calculus and some familiarity with Hamilton's principle and canonical Poisson brackets in classical mechanics at the beginning undergraduate level.The ideas and concepts of geometric mechanics are explained in the context of explicit examples. Through these examples, the student develops skills in performing computational manipulations, starting from Fermat's principle, working through the theory of differential forms on manifolds and transferring these ideas to the applications of reduction by symmetry to reveal Lie-Poisson Hamiltonian formulations and momentum maps in physical applications.The many Exercises and Worked Answers in the text enable the student to grasp the essential aspects of the subject. In addition, the modern language and application of differential forms is explained in the context of geometric mechanics, so that the importance of Lie derivatives and their flows is clear. All theorems are stated and proved explicitly.The organisation of the first edition has been preserved in the second edition. However, the substance of the text has been rewritten throughout to improve the flow and to enrich the development of the material. In particular, the role of Noether's theorem about the implications of Lie group symmetries for conservation laws of dynamical systems has been emphasised throughout, with many applications.Table of ContentsFermat's Principle for Ray Optics; Reviews of the Contributions of Newton Lagrange, Euler, Hamilton, Lie, Poincare and Cartan in the Foundations of Geometric Mechanics; Rotations of a Rigid Body; Differential Forms; Lie Derivatives; Resonances and Symmetry Reduction; Geometric and Dynamic Phases; Elastic Spherical Pendulum; Maxwell-Bloch Equations For Laser-Matter Interaction.
£109.80
Imperial College Press Geometric Mechanics - Part I: Dynamics And
Book SynopsisSee also GEOMETRIC MECHANICS — Part II: Rotating, Translating and Rolling (2nd Edition) This textbook introduces the tools and language of modern geometric mechanics to advanced undergraduates and beginning graduate students in mathematics, physics and engineering. It treats the fundamental problems of dynamical systems from the viewpoint of Lie group symmetry in variational principles. The only prerequisites are linear algebra, calculus and some familiarity with Hamilton's principle and canonical Poisson brackets in classical mechanics at the beginning undergraduate level.The ideas and concepts of geometric mechanics are explained in the context of explicit examples. Through these examples, the student develops skills in performing computational manipulations, starting from Fermat's principle, working through the theory of differential forms on manifolds and transferring these ideas to the applications of reduction by symmetry to reveal Lie-Poisson Hamiltonian formulations and momentum maps in physical applications.The many Exercises and Worked Answers in the text enable the student to grasp the essential aspects of the subject. In addition, the modern language and application of differential forms is explained in the context of geometric mechanics, so that the importance of Lie derivatives and their flows is clear. All theorems are stated and proved explicitly.The organisation of the first edition has been preserved in the second edition. However, the substance of the text has been rewritten throughout to improve the flow and to enrich the development of the material. In particular, the role of Noether's theorem about the implications of Lie group symmetries for conservation laws of dynamical systems has been emphasised throughout, with many applications.Table of ContentsFermat's Principle for Ray Optics; Reviews of the Contributions of Newton Lagrange, Euler, Hamilton, Lie, Poincare and Cartan in the Foundations of Geometric Mechanics; Rotations of a Rigid Body; Differential Forms; Lie Derivatives; Resonances and Symmetry Reduction; Geometric and Dynamic Phases; Elastic Spherical Pendulum; Maxwell-Bloch Equations For Laser-Matter Interaction.
£24.70
Imperial College Press Mathematical Approach To Multilevel, Multiscale
Book SynopsisThis book, based on published studies, takes a unique perspective on the 30-year collapse of pharmaceutical industry productivity in the search for small molecule “magic bullet” interventions. The relentless escalation of inflation-adjusted cost per approved medicine in the United States — from $200 million in 1950 to $1.2 billion in 2010 — has driven industry giants to, at best, slavish imitation in drug design, and at worst, abandonment of research and embracing of widespread fraud in consumer marketing.The book adapts formalism across a number of disciplines to the strategy for design of mutilevel interventions, focusing first on molecular, cellular, and larger scale examples, and then extending the argument to the simplifications provided by the dominant role of social and cultural structures and processes in individual and population patterns of health and illness.In place of “magic bullets”, we must now apply “magic strategies” that act across both the scale and level of organization. This book provides an introductory roadmap to the new tools that will be needed for the design of such strategies.Table of ContentsBeyond Magic Bullets; Expanding the Theory; Dynamic 'Regression Models'; An Evolutionary Excursion; Example: Mental Disorders; Example: Protein Folding; Example: Glycome Determinants; Example: Glycan/Lectin Logic Gates; Example: IDP Logic Gates; Treatment; History and Health; Beyond Glasperlenspiel; Mathematical Appendix.
£86.45
Imperial College Press Numerical Ocean Circulation Modeling
Book SynopsisThis book offers a comprehensive overview of the models and methods employed in the rapidly advancing field of numerical ocean circulation modeling. For those new to the field, concise reviews of the equations of oceanic motion, sub-grid-scale parameterization, and numerical approximation techniques are presented and four specific numerical models, chosen to span the range of current practice, are described in detail. For more advanced users, a suite of model test problems is developed to illustrate the differences among models, and to serve as a first stage in the quantitative evaluation of future algorithms. The extensive list of references makes this book a valuable text for both graduate students and postdoctoral researchers in the marine sciences and in related fields such as meteorology, and climate and coupled biogeochemical modeling.Table of ContentsThe continuous equations; the 1D heat and wave equations; considerations in two dimensions; three-dimensional ocean models; subgridscale parameterization; process-oriented test problems; simulation of the North Atlantic; the final frontier.
£94.50
Springer Nature Switzerland AG Managing Engineered Assets: Principles and
Book SynopsisThis textbook deals with engineering, science, technical, legal, financial, ICT, logistics and people management topics necessary for managing engineered assets such as all man-made tools, gadgets, buildings, equipment, machines, infrastructure, large-scale physical and industrial facilities and systems which pervade all sectors of industry. By coalescing concepts, principles, practices, and practical issues from the relevant multi-disciplines, the book addresses the body of knowledge required for managing engineered assets in the 4IR and Society 5.0 era and beyond.The book is written for: Scholars and students who intend to strengthen or acquire knowledge about the concepts, principles, and practice of managing engineered assets; Managers of engineered assets in both the public and private sectors who aim to improve asset management practice for their organisational purposes and missions; Policymakers and regulators in order to improve policymaking, governance, assessment and evaluation frameworks on the management of engineered assets; The broader audience concerned about the sustainable management of engineered assets that constitute our built environment and provide the means for industry and livelihood. Table of ContentsDefinitions and Scope.- Value and Sustainability.- Technical Principles.- Practical Concepts.- Engineering Asset Management Framework.- Asset Acquisition Stage.- Asset Utilisation Stage.- Asset Retirement Stage.- SAMP and EAMBoK.
£999.99
Springer Mathematics for Sustainable Industry
Book Synopsis- Analysis of Carreau Fluid in MHD Natural Convection with Biot Heat Flux and Injection/Suction Effects.- Advanced Thermal Conductivity Enhancement of Hybrid Nanofluid Using Spherical Graphene and Strontium Titanate with CMC Base over a Riga Plate via Caputo-Fabrizio Fractional Derivative.- A Comparative Analysis of Classification Methods for Handling RFID Data Stream on Inventory Management.- Diffie-Hellman Key Exchange Protocol Based On Ring LWE with n Entities.- Spatial Global Numerical Computation of the Integral Equations for the Ruin Probability.- The Orientation of a Rotated Ellipsoid Based on Its Polarization Tensor.- University Teaching Assessment Using Fuzzy Delphi Method with Z-Number Approach.- Squeeze Flow of Ternary Casson Nanofluid with Magnetohydrodynamic, Viscous Dissipation and Thermal Radiation Effect.- Numerical Simulation of Aqueous Humour Flow during Descemet Membrane Detachment under External Heat Sources.- Indoor Transmission of COVID-19 using Advection Diffusion Equation.- Forecasting Electricity Demand from Battery Electric Vehicles Using Box-Jenkins Modeling.- Mathematical model and algorithm for grammatical editing of given words in Uzbek language.- Creation of a Multi-Functional Device for Real-Time Monitoring of Water Quality.- Valuation of Basket Options Accommodating Assets’ Correlation.- Monitoring The Quality of Water Production Process in Surabaya Using Max-MCUSUM Control Chart based on Residual Deep Learning LSTM Model.- Generalized Linear Model Approach on Dengue Incidence in Selangor.- Hybrid Genetic Algorithm for Multi-Period Inventory Routing Problem with Carbon Cap-and-Trade Policy.- Wave Attenuation by Seagrass.- Optimization of Green Transportation Routing Problem in Petroleum Logistics by Ant Colony Algorithm.- Several Functions of Matrix Metalloproteinases in the Formation of Invadopodia by Level Set Method.- Advanced Production Planning System for Multiperiod Production Smoothing Problem.- Unsteady Solute Dispersion through a Catheterized Artery with the Presence of Cosine and Sine-Shaped Stenoses.
£161.99
Springer Fachmedien Wiesbaden Angewandte Mathematik, Modellbildung und
Book SynopsisEs macht wenig Sinn, gerade wenn man an die Schulen denkt, Numerische Mathematik als Selbstzweck zu präsentieren. Wo ist der Sinn von Interpolation, Approximation und der Lösung linearer Systeme, wenn man nicht weiß, in welch vielfältigen Problemen diese Techniken anwendbar sind? Bei der Suche nach Anwendungen stößt man auf die Modellierung technischer, biologischer und ökonomischer Fragen. Des Weiteren muss das Modell in irgendeiner Form auf einem Rechner abgebildet werden, wozu man einige Kenntnisse aus der Informatik benötigt.Table of ContentsModellbildung oder: Wie hätte Leonardo modelliert? - Wie schnell wächst Fußpilz? - Wie wirtschaftlich ist mein Betrieb? - Wie sendet Asterix Geheimbotschaften an Teefax? - Was haben Tomographie und Wasserleitungen gemeinsam? - Wie fließt der Straßenverkehr? - Dem Zufall keine Chance? - Wie fängt der Hai die Beute?
£999.99
Springer Fachmedien Wiesbaden Mathematik für Informatiker: Ein praxisbezogenes
Book SynopsisDieses Buch enthält den Mathematikstoff, der für das Informatikstudium in anwendungsorientierten Bachelorstudiengängen benötigt wird. Der Inhalt entspringt der langjährigen Lehrerfahrung des Autors.Das heißt: Sie finden immer wieder Anwendungen aus der Informatik. Sie lernen nicht nur mathematische Methoden, es werden auch die Denkweisen der Mathematik vermittelt, die eine Grundlage zum Verständnis der Informatik bilden. Beweise werden dann geführt, wenn Sie daraus etwas lernen können, nicht um des Beweisens willen. Mathematik ist für viele Studierende zunächst ein notwendiges Übel. Das Buch zeigt durch ausführliche Motivation, durch viele Beispiele, durch das ständige Aufzeigen von Querbezügen zwischen Mathematik und Informatik, dass Mathematik nicht nur nützlich ist, sondern interessant sein kann und manchmal auch Spaß macht.Table of ContentsDISKRETE MATHEMATIK UND LINEARE ALGEBRA.- Mengen und Abbildungen.- Logik.- Natürliche Zahlen, vollständige Induktion, Rekursion.- Etwas Zahlentheorie.- Algebraische Strukturen.- Vektorräume.- Matrizen.- Gauß'scher Algorithmus und lineare Gleichungssysteme.- Eigenwerte, Eigenvektoren und Basistransformationen.- Skalarprodukt und orthogonale Abbildungen.- Graphentheorie.- ANALYSIS.- Die reellen Zahlen.- Folgen und Reihen.- Stetige Funktionen.- Differenzialrechnung.- Integralrechnung.- Differenzialgleichungen.- Numerische Verfahren.- WAHRSCHEINLICHKEITSRECHNUNG UND STATISTIK.- Wahrscheinlichkeitsräume.- Zufallsvariable.- Wichtige Verteilungen und stochastische Prozesse.- Statistische Verfahren.- Anhang.
£999.99
Springer Fachmedien Wiesbaden Mathematische Bildverarbeitung: Einführung in
Book SynopsisDieses Buch behandelt die mathematischen Aspekte der modernen Bildverarbeitungsmethoden. Besonderer Schwerpunkt liegt dabei auf der Präsentation von Grundideen und Konzepten. Es werden eine Vielzahl moderner mathematischer Methoden behandelt, welche zur Lösung wichtiger, grundlegender Probleme der Bildverarbeitung eingesetzt werden. Die Grundprobleme umfassen zum Beispiel Entrauschen, Scharfzeichnen, Kantenerkennung, Inpainting. Neben elementaren Methoden wie Punktoperationen, linearen oder morphologischen Filtern stellt das Buch insbesondere neuere Methoden wie partielle Differentialgleichungen und Variationsmethoden vor. Trade Review"[...] it belongs to the bookcase of any office where someone is doing research/application in image processing. It has the virtues of a good and handy reference manual." Zentralblatt MATH, 1220-2011Table of ContentsEinleitung: Was sind Bilder? Problemstellungen der klassischen Bildverarbeitung - Grundlegende Werkzeuge: Grauwerttransformationen. Glättungs- und Schärfungsmethoden. Lineare Filter. Morphologische Filter - Diskrete und kontinuierliche Betrachtungsweise: Interpolation. Die kontinuierliche Fourier-Transformation. Fourier-Reihen. Gefensterte Fourier-Transformation. Kontinuierliches Filtern und die Wärmeleitungsgleichung - Axiomatische Bildverarbeitung: Skalenraum-Axiome. Beispiele für Multiskalen-Analysen. Grundlegende Theorie. Die Standard PDE-Modelle - Variationsmethoden: Motivation und Vorbemerkungen. Anwendungen
£999.99
Springer Fachmedien Wiesbaden Mathematik für Informatiker: Ausführlich erklärt
Book SynopsisDieses Buch entstand ausgehend von der Frage, welche Mathematik Informatiker wirklich brauchen. Es vermittelt das mathematische Handwerkszeug fundiert und mathematisch präzise. Zugleich macht es deutlich, an welchen Stellen Sie dieses Wissen als Informatiker brauchen werden. Die große Anzahl von Übungsaufgaben hilft Ihnen, sich ganz gezielt auf Prüfungen vorzubereiten.Table of ContentsGrundbegriffe der Aussagen- und Prädikatenlogik.- Grundbegriffe der Mengenlehre.- Natürliche Zahlen.- Andere Schreibweisen für die natürlichen Zahlen.- Ganze Zahlen und Rationale Zahlen.- Äquivalenzrelationen und Äquivalenzklassen.- Endliche Gruppen und Endliche Körper.- Zahlentheorie und Kryptographie.- Die reellen Zahlen.- Die komplexen Zahlen.- Lineare Algebra, ein bisschen Geometrie und nomierte Räume.- Lineare Gleichungen, Matrizen und Determinanten, Lineare Abbildungen.- Boolesche Algebra.- Boolesche Gesetze, Dualitäten und Diagramme.- Leonhard Euler und die 7 Brücken von Königsberg.- Bäume.- Kürzeste Wege und der Algorithmus von Dijkstra - Binärbäume und rekursive Strukturen.- Paarungsprobleme und ihre ungarischen Lösungen.- Beschreibende Statistik.- Grundlagen der Wahrscheinlichkeitsrechnung.- Diskrete Zufallsvariable.- Stetige Zufallsvariable.- Schätzungen.- Test, Test, Test.- Anhang: Was Sie schon immer über Analysis wissen wollten.- Anhang: Einige Werte der Standardnormalverteilung.
£49.49
World Scientific Publishing Co Pte Ltd Graph Theory And Its Engineering Applications
Book SynopsisGraphs are extremely useful in modeling systems in physical sciences and engineering problems, because of their intuitive diagrammatic nature. This text gives a reasonably deep account of material closely related to engineering applications. Topics like directed-graph solutions of linear equations, topological analysis of linear systems, state equations, rectangle dissection and layouts, and network flows are included. A major theme of the book is electrical network theory.This book is basically intended as a reference text for researchers, and requires a certain level of mathematical maturity. However the text may equally well be used for graduate level courses on network topology and linear systems and circuits. Some of the later chapters are suitable as topics for advanced seminars. A special feature of the book is that references to other published literature are included for almost all the results presented, making the book especially handy for those wishing to continue with a study of special topics.Table of ContentsBasic theory; foundations of electrical network theory; directed-graph solutions of linear algebraic equations; topological analysis of linear systems; trees and their generation; the realizability of directed graphs with prescribed degrees; state equations of networks.
£93.60
World Scientific Publishing Co Pte Ltd One-dimensional Introduction To Continuum
Book SynopsisMany textbooks on continuum mechanics plunge students in at the ‘deep end’ of three-dimensional analysis and applications. However a striking number of commonplace models of our physical environment are based entirely within the dynamics of a one-dimensional continuum. This introductory text therefore approaches the subject entirely within such a one-dimensional framework.The principles of the mathematical modeling of one-dimensional media constitute the book's backbone. These concepts are elucidated with a diverse selection of applications, ranging from tidal dynamics and dispersion in channels to beam bending, algal blooms, blood flow, and the greenhouse effect.The book is ideally suited to elementary undergraduate courses as it makes no use of multivariable calculus. A number of graded problems are included at the end of each section.Table of ContentsDescribing the motion of a continuum; conservation of material; balance of momentum; stress and strain; quasi-one-dimensional continua; applications of 1-D continuum mechanics.
£34.20
World Scientific Publishing Co Pte Ltd Lecture Notes On The Mathematical Theory Of
Book SynopsisThis book is based on the idea that Boltzmann-like modelling methods can be developed to design, with special attention to applied sciences, kinetic-type models which are called generalized kinetic models. In particular, these models appear in evolution equations for the statistical distribution over the physical state of each individual of a large population. The evolution is determined both by interactions among individuals and by external actions.Considering that generalized kinetic models can play an important role in dealing with several interesting systems in applied sciences, the book provides a unified presentation of this topic with direct reference to modelling, mathematical statement of problems, qualitative and computational analysis, and applications. Models reported and proposed in the book refer to several fields of natural, applied and technological sciences. In particular, the following classes of models are discussed: population dynamics and socio-economic behaviours, models of aggregation and fragmentation phenomena, models of biology and immunology, traffic flow models, models of mixtures and particles undergoing classic and dissipative interactions.Table of ContentsGeneralized kinetic models; mathematical background - measure, integration, topology; models of population dynamics with stochastic interactions; generalized kinetic models for coagulation and fragmentation; kinetic cellular models in the immune system competition; kinetic models for the evolution of antigens generalized shape; the Boltzmann model; generalized kinetic models for traffic flow; dissipative kinetic models for disparate mixtures; research perspectives.
£94.05
World Scientific Publishing Co Pte Ltd Jewels Of Stringology: Text Algorithms
Book SynopsisThe term “stringology” is a popular nickname for text algorithms, or algorithms on strings. This book deals with the most basic algorithms in the area. Most of them can be viewed as “algorithmic jewels” and deserve reader-friendly presentation. One of the main aims of the book is to present several of the most celebrated algorithms in a simple way by omitting obscuring details and separating algorithmic structure from combinatorial theoretical background. The book reflects the relationships between applications of text-algorithmic techniques and the classification of algorithms according to the measures of complexity considered. The text can be viewed as a parade of algorithms in which the main purpose is to discuss the foundations of the algorithms and their interconnections. One can partition the algorithmic problems discussed into practical and theoretical problems. Certainly, string matching and data compression are in the former class, while most problems related to symmetries and repetitions in texts are in the latter. However, all the problems are interesting from an algorithmic point of view and enable the reader to appreciate the importance of combinatorics on words as a tool in the design of efficient text algorithms.In most textbooks on algorithms and data structures, the presentation of efficient algorithms on words is quite short as compared to issues in graph theory, sorting, searching, and some other areas. At the same time, there are many presentations of interesting algorithms on words accessible only in journals and in a form directed mainly at specialists. This book fills the gap in the book literature on algorithms on words, and brings together the many results presently dispersed in the masses of journal articles. The presentation is reader-friendly; many examples and about two hundred figures illustrate nicely the behaviour of otherwise very complex algorithms.Table of ContentsContents: Stringology; Basic String Searching Algorithms; Preprocessing for Basic Seachings; On-Line Construction of Suffix Trees; More on Suffix Trees; Subword Graphs; Text Algorithms Related to Sorting; Symmetries and Repetitions in Texts; Constant-Space Searchings; Text Compression Techniques; Automata-Theoretic Approach; Approximate Pattern Matching; Matching by Dueling and Sampling; Two-Dimensional Pattern Matching; Two-Dimensional Periodicities; Parallel Text Algorithms; Miscellaneous.
£97.20
World Scientific Publishing Co Pte Ltd Jewels Of Stringology: Text Algorithms
Book SynopsisThe term “stringology” is a popular nickname for text algorithms, or algorithms on strings. This book deals with the most basic algorithms in the area. Most of them can be viewed as “algorithmic jewels” and deserve reader-friendly presentation. One of the main aims of the book is to present several of the most celebrated algorithms in a simple way by omitting obscuring details and separating algorithmic structure from combinatorial theoretical background. The book reflects the relationships between applications of text-algorithmic techniques and the classification of algorithms according to the measures of complexity considered. The text can be viewed as a parade of algorithms in which the main purpose is to discuss the foundations of the algorithms and their interconnections. One can partition the algorithmic problems discussed into practical and theoretical problems. Certainly, string matching and data compression are in the former class, while most problems related to symmetries and repetitions in texts are in the latter. However, all the problems are interesting from an algorithmic point of view and enable the reader to appreciate the importance of combinatorics on words as a tool in the design of efficient text algorithms.In most textbooks on algorithms and data structures, the presentation of efficient algorithms on words is quite short as compared to issues in graph theory, sorting, searching, and some other areas. At the same time, there are many presentations of interesting algorithms on words accessible only in journals and in a form directed mainly at specialists. This book fills the gap in the book literature on algorithms on words, and brings together the many results presently dispersed in the masses of journal articles. The presentation is reader-friendly; many examples and about two hundred figures illustrate nicely the behaviour of otherwise very complex algorithms.Table of ContentsStringology - Basic String Searching Algorithms - Preprocessing for Basic Seachings - On-Line Construction of Suffix Trees - More on Suffix Trees - Subword Graphs - Text Algorithms Related to Sorting - Symmetries and Repetitions in Texts - Constant-Space Searchings - Text Compression Techniques - Automata-Theoretic Approach - Approximate Pattern Matching - Matching by Dueling and Sampling - Two-Dimensional Pattern Matching - Two-Dimensional Periodicities - Parallel Text Algorithms - Miscellaneous
£51.30
World Scientific Publishing Co Pte Ltd Stochastic Pdes And Modelling Of Multiscale
Book SynopsisThis volume is devoted to original research results and survey articles reviewing recent developments in reduction for stochastic PDEs with multiscale as well as application to science and technology, and to present some future research direction. This volume includes a dozen chapters by leading experts in the area, with a broad audience in mind. It should be accessible to graduate students, junior researchers and other professionals who are interested in the subject. We also take this opportunity to celebrate the contributions of Professor Anthony J Roberts, an internationally leading figure on the occasion of his 60th years birthday in 2017.
£85.50
World Scientific Publishing Co Pte Ltd Modeling Anomalous Diffusion: From Statistics To
Book SynopsisThis book focuses on modeling the anomalous diffusion phenomena, being ubiquitous in the natural world. Both the microscopic models (stochastic processes) and macroscopic models (partial differential equations) have been built up. The relationships between the two kinds of models are clarified, and based on these models, some statistical observables are analyzed. From statistics to mathematics, the built models show their power with their associated applications.This book is important for students to develop basic skills to be able to succeed in their future research. In addition to introducing the related models or methods, it also provides the corresponding applications and simulation results, which will attract more readers ranging from mathematicians to physicists or chemists, to name a few.
£85.50
World Scientific Publishing Co Pte Ltd From Fractals And Cellular Automata To Biology:
Book SynopsisThe didactical level of exposition, together with many astonishing images and animations, accompanied by the related simple computer programming codes (in Python and POV-Ray languages) make this book an extremely and unique useful tool to test the power of algorithmic information in generating ordered structure models (2D and 3D) like regular geometric shapes, complex shapes like fractals and cellular automata, and biological systems as the organs of a living body. Informational biologists besides mathematicians and physicists of complexity may learn to test their own capabilities in programming and modelling ordered structures starting from random initial conditions at different scale of each system: from elementary particles, to biological systems, to galaxies and the whole universe. Moreover the philosophical comments comparing some aspects of modern information theory to the Aristotelian notion of 'form are very appealing also for the epistemologist and the philosopher involved in complexity matters.
£112.50
World Scientific Publishing Co Pte Ltd X Games In Mathematics: Sports Training That
Book SynopsisSports analytics has gathered tremendous momentum as one of the most dynamic fields. Diving deep into the numbers of sports can be game changing or simply a fun exercise for fans. How do you get in the game with numbers? What questions can be explored? What actionable insights can be gleaned?Do you like sports? This book will detail ways to analyze athletics to gain insight that can otherwise be obscured. Like math? You'll find many mathematical topics not involving sports. You'll also see how sports analytics can train you broadly in mathematics.From coaching at the highest levels to national media broadcasts, analytics are becoming increasingly indispensable. Dive into the numbers behind soccer to basketball to baseball to boxing to swimming, dive into the numbers. Learn how to get in the game with sports and mathematics.
£66.50
World Scientific Publishing Co Pte Ltd Stochastic Interest Rate Modeling With Fixed
Book SynopsisThis book introduces the mathematics of stochastic interest rate modeling and the pricing of related derivatives, based on a step-by-step presentation of concepts with a focus on explicit calculations. The types of interest rates considered range from short rates to forward rates such as LIBOR and swap rates, which are presented in the HJM and BGM frameworks. The pricing and hedging of interest rate and fixed income derivatives such as bond options, caps, and swaptions, are treated using forward measure techniques. An introduction to default bond pricing and an outlook on model calibration are also included as additional topics.This third edition represents a significant update on the second edition published by World Scientific in 2012. Most chapters have been reorganized and largely rewritten with additional details and supplementary solved exercises. New graphs and simulations based on market data have been included, together with the corresponding R codes.This new edition also contains 75 exercises and 4 problems with detailed solutions, making it suitable for advanced undergraduate and graduate level students.Table of ContentsA Review of Stochastic Calculus; A Review of Black–Scholes Pricing; Short Term Interest Rate Models; Pricing of Zero-Coupon Bonds; Forward Rates and Swap Rates; Curve Fitting and a Two Factor Model; Forward Rate Modeling; Forward Measures and Derivative Pricing; Pricing of Caps and Swaptions; Default Bond Pricing; Appendix on Mathematical Tools; Solutions to the Exercises;
£99.00
World Scientific Publishing Co Pte Ltd Operations Research: Introduction To Models And
Book SynopsisThis attractive textbook with its easy-to-follow presentation provides a down-to-earth introduction to operations research for students in a wide range of fields such as engineering, business analytics, mathematics and statistics, computer science, and econometrics. It is the result of many years of teaching and collective feedback from students.The book covers the basic models in both deterministic and stochastic operations research and is a springboard to more specialized texts, either practical or theoretical. The emphasis is on useful models and interpreting the solutions in the context of concrete applications.The text is divided into several parts. The first three chapters deal exclusively with deterministic models, including linear programming with sensitivity analysis, integer programming and heuristics, and network analysis. The next three chapters primarily cover basic stochastic models and techniques, including decision trees, dynamic programming, optimal stopping, production planning, and inventory control. The final five chapters contain more advanced material, such as discrete-time and continuous-time Markov chains, Markov decision processes, queueing models, and discrete-event simulation.Each chapter contains numerous exercises, and a large selection of exercises includes solutions.
£130.50
World Scientific Publishing Co Pte Ltd Introduction To Matrix Theory: With Applications
Book SynopsisLinear algebra and matrix theory are among the most important and most frequently applied branches of mathematics. They are especially important in solving engineering and economic models, where either the model is assumed linear, or the nonlinear model is approximated by a linear model, and the resulting linear model is examined.This book is mainly a textbook, that covers a one semester upper division course or a two semester lower division course on the subject.The second edition will be an extended and modernized version of the first edition. We added some new theoretical topics and some new applications from fields other than economics. We also added more difficult exercises at the end of each chapter which require deep understanding of the theoretical issues. We also modernized some proofs in the theoretical discussions which give better overview of the study material. In preparing the manuscript we also corrected the typos and errors, so the second edition will be a corrected, extended and modernized new version of the first edition.
£121.50
World Scientific Publishing Co Pte Ltd Spatial Dynamics Models In The Life Sciences And
Book SynopsisBasic mathematical techniques for partial differential equations (PDE) with applications to the life sciences form an integral part of the core curriculum for programs in mathematical biology. Yet, students in such a program with an undergraduate training in biology are typically deficient in any exposure to PDE. This volume starts with simple first order PDE and progresses through higher order equations and systems but with interesting applications, even at the level of a single first order PDE with constant coefficients.Similar to the two previous volumes by the author, another unique feature of the book is highlighting the scientific theme(s) of interest for the biological phenomena being modelled and analysed. In addition to temporal evolution of a biological phenomenon, its limiting equilibrium states and their stability, the possibility of locational variations leads to a study of additional themes such as (signal and wave) propagation, spatial patterning and robustness. The requirement that biological developments are relatively insensitive to sustained environmental changes provides an opportunity to examine the issue of feedback and robustness not encountered in the previous two volumes of this series.
£112.50
World Scientific Publishing Company Shadows of the Circle From Conic Sections to
Book Synopsis
£61.75
World Scientific Publishing Co Pte Ltd Computational And Mathematical Population
Book SynopsisThis book is a collection of works that represent the recent advancements in computational and mathematical methods applied to population dynamics. It concentrates on both development of new tools as well as on innovative use of existing tools to obtain new understanding of biological systems. The volume introduces new state-of-the-art techniques for defining and solving numerically control problems in mathematical biology in which the control appears linearly. Such problems produce simpler optimal controls that can be implemented in practice. The book further develops tools for fitting multi-scale models to multi-scale data and studying the practical identifiability of the parameters from multi-scale data. Novel model of Zika with Wolbahia infection in mosquitoes suggests that the most suitable control strategy to control Zika in the absence of Wolbahia is killing mosquitoes but the most suitable strategy when mosquitoes are Wolbahia infected is the treatment of humans.A completely novel methodology of developing discrete-continuous hybrid models of multi-species interactions is also introduced together with avantgarde techniques for discrete-continuous hybrid models analysis. A mathematical model leads to new observations of the within-host virus dynamics and its interplay with the immune responses. In particular, it is observed that the parameters promoting CTL responses need to be boosted over parameters promoting antibody production to obtain a biologically relevant steady state. A novel stochastic model of COVID-19 investigates quarantine and lock down as important strategies for control and elimination of COVID-19.
£121.50
World Scientific Publishing Co Pte Ltd Models And Methods For Quantum Condensation And
Book SynopsisThe Institute for Mathematical Sciences at the National University of Singapore hosted a thematic program on Quantum and Kinetic Problems: Modeling, Analysis, Numerics and Applications from September 2019 to March 2020. As an important part of the program, tutorials and special lectures were given by leading experts in the fields for participating graduate students and junior researchers. This invaluable volume collects six expanded lecture notes with self-contained tutorials. The coverage includes mathematical models and numerical methods for multidimensional solitons in linear and nonlinear potentials; Bose-Einstein condensation (BEC) with dipole-dipole interaction, higher order interaction and spin-orbit coupling; classical and quantum turbulence; and molecular dynamics process based on the first-principle in quantum chemistry.This volume serves to inspire graduate students and researchers who will embark into original research work in these fields.
£112.50
World Scientific Publishing Co Pte Ltd Modeling And Simulation For Collective Dynamics
Book SynopsisThe thematic program Quantum and Kinetic Problems: Modeling, Analysis, Numerics and Applications was held at the Institute for Mathematical Sciences at the National University of Singapore, from September 2019 to March 2020. Leading experts presented tutorials and special lectures geared towards the participating graduate students and junior researchers.Readers will find in this significant volume four expanded lecture notes with self-contained tutorials on modeling and simulation for collective dynamics including individual and population approaches for population dynamics in mathematical biology, collective behaviors for Lohe type aggregation models, mean-field particle swarm optimization, and consensus-based optimization and ensemble Kalman inversion for global optimization problems with constraints.This volume serves to inspire graduate students and researchers who will embark into original research work in kinetic models for collective dynamics and their applications.
£76.00
World Scientific Publishing Co Pte Ltd Agents, Networks, Evolution: A Quarter Century Of
Book SynopsisScientific progress during the last three decades has greatly profited from our advances in understanding complex systems. Fundamental modeling approaches were considerably improved, particularly agent-based modeling, network science, nonlinear dynamics, and system science. At the same time, these approaches have been applied to and adopted by various scientific disciplines, ranging from physics and chemistry to engineering, molecular biology, economics, and the social sciences.This book reflects the success of complexity science both from a historical and a modeling perspective. It uses 25 articles from different disciplines, published over 25 years, to demonstrate the power and problems of modeling complex systems.The book's four parts, Agent-based Models, Network Models, Models of System Dynamics, and Models of Evolution, each provide an informative synopsis of the respective modeling approach. An introductory overview summarizes each approach's essential concepts, addresses the main research directions, and reviews applications in various disciplines. The selection of reprinted publications is motivated by their scientific relevance and methodological contributions to understanding complex phenomena. A chronological list of publications details the development of each modeling approach over the past 25 years.
£162.00
World Scientific Publishing Company Compendium Of Musical Mathematics A
Book Synopsis
£85.50
Springer Verlag, Singapore Engineering Mathematics and Computing
Book SynopsisThis book contains select papers presented at the 3rd International Conference on Engineering Mathematics and Computing (ICEMC 2020), held at the Haldia Institute of Technology, Purba Midnapur, West Bengal, India, from 5–7 February 2020. The book discusses new developments and advances in the areas of neural networks, connectionist systems, genetic algorithms, evolutionary computation, artificial intelligence, cellular automata, self-organizing systems, soft computing, fuzzy systems, hybrid intelligent systems, etc. The book, containing 19 chapters, is useful to the researchers, scholars, and practising engineers as well as graduate students of engineering and applied sciences. Table of ContentsFuzzy Random Continuous Review Inventory Model with Controllable Lead-time and Exponential Crashing Cost.- Multilevel Meshfree RBF-FD Method for Elliptic Partial Differential Equations.- Some Fixed Point Theorems in Fuzzy Strong B-Metric Spaces.- Camera Tracking for Robotic Ships.- Some Arithmetic Operations on Trapezoidal Intuitionistic Fuzzy Number and Its Application in Solving Linear Programming Problem by Simplex Algorithm.- Investment Analysis Based on New Fuzzy Methodology.- Existence of Quadruple Fixed Point Results in Ordered K Metric Space Through C Distance with Application in Integral Equation.- New Dice Similarity Measure of Fuzzy Numbers and its application in Multicriteria Decision Making.- Ensemble of Cyberspace Users Tendency in Blog Writing Using Regression Algorithms.- An Intelligent Intrusion Detection System Using a Novel Combination of PCA and MLP.- Performance Analysis for Various Mobility Nodes for Manet Protocol Using Fuzzy Inference System.- Ion Partitioning Effects on Electroosmotic Flow Through ph Regulated Cylindrical Nanopore.- Optimal Control of Complementary and Substitute Items in a Production System for Infinite Time Horizon.
£999.99
World Scientific Publishing Co Pte Ltd Elements Of Stochastic Modelling
Book SynopsisThis textbook has been developed from the lecture notes for a one-semester course on stochastic modelling. It reviews the basics of probability theory and then covers the following topics: Markov chains, Markov decision processes, jump Markov processes, elements of queueing theory, basic renewal theory, elements of time series and simulation. Rigorous proofs are often replaced with sketches of arguments — with indications as to why a particular result holds, and also how it is connected with other results — and illustrated by examples. Wherever possible, the book includes references to more specialised texts containing both proofs and more advanced material related to the topics covered.Table of ContentsBasics of Probability Theory; Markov Chains; Markov Decision Processes; The Exponential Distribution and Poisson Process; Jump Markov Processes; Elements of Queueing Theory; Elements of Renewal Theory; Elements of Time Series; Elements of Simulation.
£45.60
World Scientific Publishing Co Pte Ltd Elements Of Stochastic Modelling
Book SynopsisThis textbook has been developed from the lecture notes for a one-semester course on stochastic modelling. It reviews the basics of probability theory and then covers the following topics: Markov chains, Markov decision processes, jump Markov processes, elements of queueing theory, basic renewal theory, elements of time series and simulation. Rigorous proofs are often replaced with sketches of arguments — with indications as to why a particular result holds, and also how it is connected with other results — and illustrated by examples. Wherever possible, the book includes references to more specialised texts containing both proofs and more advanced material related to the topics covered.Table of ContentsBasics of Probability Theory; Markov Chains; Markov Decision Processes; The Exponential Distribution and Poisson Process; Jump Markov Processes; Elements of Queueing Theory; Elements of Renewal Theory; Elements of Time Series; Elements of Simulation.
£34.20
World Scientific Publishing Co Pte Ltd Stochastic Modeling Of Electricity And Related
Book SynopsisThe markets for electricity, gas and temperature have distinctive features, which provide the focus for countless studies. For instance, electricity and gas prices may soar several magnitudes above their normal levels within a short time due to imbalances in supply and demand, yielding what is known as spikes in the spot prices. The markets are also largely influenced by seasons, since power demand for heating and cooling varies over the year. The incompleteness of the markets, due to nonstorability of electricity and temperature as well as limited storage capacity of gas, makes spot-forward hedging impossible. Moreover, futures contracts are typically settled over a time period rather than at a fixed date. All these aspects of the markets create new challenges when analyzing price dynamics of spot, futures and other derivatives.This book provides a concise and rigorous treatment on the stochastic modeling of energy markets. Ornstein-Uhlenbeck processes are described as the basic modeling tool for spot price dynamics, where innovations are driven by time-inhomogeneous jump processes. Temperature futures are studied based on a continuous higher-order autoregressive model for the temperature dynamics. The theory presented here pays special attention to the seasonality of volatility and the Samuelson effect. Empirical studies using data from electricity, temperature and gas markets are given to link theory to practice.Table of ContentsA Survey of Electricity and Related Markets; Stochastic Analysis for Independent Increment Processes; Stochastic Models for the Energy Spot Price Dynamics; Pricing of Forwards and Swaps Based on the Spot Price; Applications to the Gas Markets; Modeling Forwards and Swaps Using the Heath-Jarrow-Morton Approach; Constructing Smooth Forward Curves in Electricity Markets; Modeling of the Electricity Futures Market; Pricing and Hedging of Energy Options; Analysis of Temperature Derivatives.
£110.70
World Scientific Publishing Co Pte Ltd Mathematical Modeling And Simulation In Enteric
Book SynopsisThe lack of scientists equally trained and prepared to understand both mathematics and biology/medicine hampers the development and application of computer simulation methods in biology and neurogastrobiology. Currently, there are no texts for navigating the extensive and intricate field of mathematical and computational modeling in neurogastrobiology. This book bridges the gap between mathematicians, computer scientists and biologists, and thus assists in the study and analysis of complex biological phenomena that cannot be done through traditional in vivo and in vitro experimental approaches.The book recognizes the complexity of biological phenomena under investigation and treats the subject matter with a degree of mathematical rigor. Special attention is given to computer simulations for interpolation and extrapolation of electromechanical and chemoelectrical phenomena, nonlinear self-sustained electromechanical wave activity, pharmacological effects including co-localization and co-transmission by multiple neurotransmitters, receptor polymodality, and drug interactions.Mathematical Modeling and Simulation in Enteric Neurobiology is an interdisciplinary book and is an essential source of information for biologists and doctors who are interested in knowing about the role and advantages of numerical experimentation in their subjects, as well as for mathematicians who are interested in exploring new areas of applications.Table of ContentsOverview of Enteric Neurobiology, Myoelectrical Activity of the Smooth Muscle; Pharmacology of Myoelectrical Activity; Physicochemical Basis of Synaptic Transmission; Neuronal Assemblies; Multiple Neurotransmission; Functional Unit; Dynamics of Intestinal Propulsion.
£110.70
World Scientific Publishing Co Pte Ltd Basic Control Volume Finite Element Methods For
Book SynopsisThe Control Volume Finite Element Method (CVFEM) is a hybrid numerical method, combining the physics intuition of Control Volume Methods with the geometric flexibility of Finite Element Methods. The concept of this monograph is to introduce a common framework for the CVFEM solution so that it can be applied to both fluid flow and solid mechanics problems. To emphasize the essential ingredients, discussion focuses on the application to problems in two-dimensional domains which are discretized with linear-triangular meshes. This allows for a straightforward provision of the key information required to fully construct working CVFEM solutions of basic fluid flow and solid mechanics problems.Table of ContentsGoverning Equations; The Essential Ingredients in a Numerical Solution; Control Volume Finite Element Data Structure; Control Volume Finite Element Method (CVFEM) Discretization and Solution; The Control Volume Finite Difference Method; Analytical and CVFEM Solutions of Advection-Diffusion Equations; The CVFEM Solution for Plane Stress and Plane Strain Elasticity; The CVFEM Solution for the Stream-Function Vorticity Form of the Navier-Stokes Equations; Notes for the Extension of CVFEM to Three Dimensions.
£58.90
World Scientific Publishing Co Pte Ltd Mathemusical Conversations: Mathematics And
Book SynopsisMathemusical Conversations celebrates the understanding of music through mathematics, and the appreciation of mathematics through music. This volume is a compilation of the invited talks given at the Mathemusical Conversations workshop that took place in Singapore from 13-15 February 2015, organized by Elaine Chew in partnership with Gérard Assayag for the scientific program and with Bernard Lanskey for the artistic program. The contributors are world experts and leading scholars, writing on the intersection of music and mathematics. They also focus on performance and composition, two topics which are foundational both to the understanding of human creativity and to the creation of tomorrow's music technologies. This book is essential reading for researchers in both music and mathematics. It will also appeal more broadly to scholars, students, musicians, and anyone interested in new perspectives on the intimate relationship between these two universal human activities.Table of ContentsIntroduction; Mathemusical Engagement: Without Our Consent (Paul Schoenfield); Approaches to Musical Expression in Harmonix's Video Games (Eran Egozy); Motion and Gravitation in the Musical Spheres (Elaine Chew); Mathemusical Creativity: Creative Dynamics of Improvised Musical Interaction (Gerard Assayag); Sound, Shape, Harmony (Jean-Pierre Bourguignon); Musical Creativity (Margaret Boden); Canons: Tiling Canons as a Key to Approaching Open Mathematical Conjectures? (Moreno Andreatta); Infinite Canons (Clifton Callender); Shaping Performance: Performing Musical Shape in Theory and in Practice (John Rink); Playing with Variables: Anticipating One Particular Performance of Bachs Goldberg Variations (Stephen Emmerson and Bernard Lanskey); Modeling Melodic Expression (Christopher Raphael); Mathemuscial Learning: Mathematical Thought and Empirical Approaches in Music Higher Education (Yang Jian); Action and Symbol: An Essential Tension (Jeanne Bamberger); Education the Mathemusical: Balancing the Equation (Don McLean); Geometries: What is Geometric about Music? (Richard Cohn); Vectors and Voice Leading (Dmitri Tymoczko); A Topological Approach of Musical Relationships (Jean-Louis Giavitto);
£95.40
World Scientific Publishing Co Pte Ltd Fractional Calculus: Models And Numerical Methods
Book SynopsisThis book will give readers the possibility of finding very important mathematical tools for working with fractional models and solving fractional differential equations, such as a generalization of Stirling numbers in the framework of fractional calculus and a set of efficient numerical methods. Moreover, we will introduce some applied topics, in particular fractional variational methods which are used in physics, engineering or economics. We will also discuss the relationship between semi-Markov continuous-time random walks and the space-time fractional diffusion equation, which generalizes the usual theory relating random walks to the diffusion equation. These methods can be applied in finance, to model tick-by-tick (log)-price fluctuations, in insurance theory, to study ruin, as well as in macroeconomics as prototypical growth models.All these topics are complementary to what is dealt with in existing books on fractional calculus and its applications. This book will keep in mind the trade-off between full mathematical rigor and the needs of readers coming from different applied areas of science and engineering. In particular, the numerical methods listed in the book are presented in a readily accessible way that immediately allows the readers to implement them on a computer in a programming language of their choice.The second edition of the book has been expanded and now includes a discussion of additional, newly developed numerical methods for fractional calculus and a chapter on the application of fractional calculus for modeling processes in the life sciences.Table of ContentsPreface; Preliminaries; Survey of Numerical Methods to Solve Ordinary and Partial Fractional Differential Equations; Specific and Efficient Methods to Solve Ordinary and Partial Fractional Differential Equations; Fractional Variational Principles; Generalized Stirling Numbers of First and Second Kind in the Framework of Fractional Calculus; Continuous-Time Random Walks (CTRWs); Applications of CTRWs; Selected Applications of Fractional Calculus Models in the Life Sciences; Appendix: Source Codes; Bibliography; Subject Index
£135.00
World Scientific Publishing Co Pte Ltd Biomat 2015 - International Symposium On
Book SynopsisThis is a book of an international series on interdisciplinary topics of the Mathematical and Biological Sciences. The chapters are related to selected papers on the research themes presented at BIOMAT 2015 International Symposium on Mathematical and Computational Biology which was held in the Roorkee Institute of Technology, in Roorkee, Uttarakhand, India, on November 02-06, 2015. The treatment is both pedagogical and advanced in order to motivate research students to fulfill the requirements of professional practitioners. As in other volumes of this series, there are new important results on the interdisciplinary fields of mathematical and biological sciences and comprehensive reviews written by prominent scientific leaders of famous research groups.There are new results based on the state of art research in Population Dynamics, on Pattern Recognition of Biological Phenomena, the Mathematical Modelling of Infectious Diseases, Computational Biology, the Dynamic and Geometric Modelling of Biological Phenomena, the Modelling of Physiological Disorders, the Optimal Control Techniques in Mathematical Modelling of Biological Phenomena, the Hydrodynamics and Elasticity of Cell Tissues and Bacterial Growth and the Mathematical Morphology of Biological Structures. All these contributions are also strongly recommended to professionals from other scientific areas aiming to work on these interdisciplinary fields.
£142.20
World Scientific Publishing Co Pte Ltd Dynamical System Models In The Life Sciences And
Book SynopsisBroadly speaking, there are two general approaches to teaching mathematical modeling: 1) the case study approach, and 2) the method based approach (that teaches mathematical techniques with applications to relevant mathematical models). This text emphasizes instead the scientific issues for modeling different phenomena. For the natural or harvested growth of a fish population, we may be interested in the evolution of the population, whether it reaches a steady state (equilibrium or cycle), stable or unstable with respect to a small perturbation from equilibrium, or whether a small change in the environment would cause a catastrophic change, etc. Each scientific issue requires an appropriate model and a different set of mathematical tools to extract information from the model. Models examined are chosen to help explain or justify empirical observations such as cocktail drug treatments are more effective and regenerations after injuries or illness are fast-tracked (compared to original developments).Volume I of this three-volume set limits its scope to phenomena and scientific issues that are modeled by ordinary differential equations (ODE). Scientific issues such as signal and wave propagation, diffusion, and shock formation involving spatial dynamics to be modeled by partial differential equations (PDE) will be treated in Vol. II. Scientific issues involving randomness and uncertainty are examined in Vol. III.
£101.70
World Scientific Publishing Co Pte Ltd Dynamical System Models In The Life Sciences And
Book SynopsisBroadly speaking, there are two general approaches to teaching mathematical modeling: 1) the case study approach, and 2) the method based approach (that teaches mathematical techniques with applications to relevant mathematical models). This text emphasizes instead the scientific issues for modeling different phenomena. For the natural or harvested growth of a fish population, we may be interested in the evolution of the population, whether it reaches a steady state (equilibrium or cycle), stable or unstable with respect to a small perturbation from equilibrium, or whether a small change in the environment would cause a catastrophic change, etc. Each scientific issue requires an appropriate model and a different set of mathematical tools to extract information from the model. Models examined are chosen to help explain or justify empirical observations such as cocktail drug treatments are more effective and regenerations after injuries or illness are fast-tracked (compared to original developments).Volume I of this three-volume set limits its scope to phenomena and scientific issues that are modeled by ordinary differential equations (ODE). Scientific issues such as signal and wave propagation, diffusion, and shock formation involving spatial dynamics to be modeled by partial differential equations (PDE) will be treated in Vol. II. Scientific issues involving randomness and uncertainty are examined in Vol. III.
£65.55
World Scientific Publishing Co Pte Ltd Mathematical Methods For The Natural And
Book SynopsisThis second edition provides a broad range of methods and concepts required for the analysis and solution of equations which arise in the modeling of phenomena in the natural, engineering, and applied mathematical sciences. It may be used productively by both undergraduate and graduate students, as well as others who wish to learn, understand, and apply these techniques. Detailed discussions are also given for several topics that are not usually included in standard textbooks at this level of presentation: qualitative methods for differential equations, dimensionalization and scaling, elements of asymptotics, difference equations and several perturbation procedures. Further, this second edition includes several new topics covering functional equations, the Lambert-W function, nonstandard sets of periodic functions, and the method of dominant balance. Each chapter contains a large number of worked examples and provides references to the appropriate books and literature.
£103.50
World Scientific Publishing Co Pte Ltd Applications Of Calculus To Biology And Medicine:
Book SynopsisBiology majors and pre-health students at many colleges and universities are required to take a semester of calculus but rarely do such students see authentic applications of its techniques and concepts. Applications of Calculus to Biology and Medicine: Case Studies from Lake Victoria is designed to address this issue: it prepares students to engage with the research literature in the mathematical modeling of biological systems, assuming they have had only one semester of calculus. The text includes projects, problems and exercises: the projects ask the students to engage with the research literature, problems ask the students to extend their understanding of the materials and exercises ask the students to check their understanding as they read the text. Students who successfully work their way through the text will be able to engage in a meaningful way with the research literature to the point that they would be able to make genuine contributions to the literature.
£79.80
World Scientific Publishing Co Pte Ltd Modeling Love Dynamics
Book SynopsisThis book shows, for the very first time, how love stories — a vital issue in our lives — can be tentatively described with classical mathematics. Focus is on the derivation and analysis of reliable models that allow one to formally describe the expected evolution of love affairs from the initial state of indifference to the final romantic regime. The models are in full agreement with the basic philosophical principles of love psychology. Eight chapters are theoretically oriented and discuss the romantic relationships between important classes of individuals identified by particular psychological traits. The remaining chapters are devoted to case studies described in classical poems or in worldwide famous films.
£38.00
World Scientific Publishing Co Pte Ltd Modeling, Analysis And Control Of Dynamical
Book SynopsisThis book is aimed primarily towards physicists and mechanical engineers specializing in modeling, analysis, and control of discontinuous systems with friction and impacts. It fills a gap in the existing literature by offering an original contribution to the field of discontinuous mechanical systems based on mathematical and numerical modeling as well as the control of such systems. Each chapter provides the reader with both the theoretical background and results of verified and useful computations, including solutions of the problems of modeling and application of friction laws in numerical computations, results from finding and analyzing impact solutions, the analysis and control of dynamical systems with discontinuities, etc. The contents offer a smooth correspondence between science and engineering and will allow the reader to discover new ideas. Also emphasized is the unity of diverse branches of physics and mathematics towards understanding complex piecewise-smooth dynamical systems. Mathematical models presented will be important in numerical experiments, experimental measurements, and optimization problems found in applied mechanics.
£81.70
World Scientific Publishing Co Pte Ltd Method Of Lines Analysis Of Turing Models
Book SynopsisThis book is directed toward the numerical integration (solution) of a system of partial differential equations (PDEs) that describes a combination of chemical reaction and diffusion, that is, reaction-diffusion PDEs. The particular form of the PDEs corresponds to a system discussed by Alan Turing and is therefore termed a Turing model.Specifically, Turing considered how a reaction-diffusion system can be formulated that does not have the usual smoothing properties of a diffusion (dispersion) system, and can, in fact, develop a spatial variation that might be interpreted as a form of morphogenesis, so he termed the chemicals as morphogens.Turing alluded to the important impact computers would have in the study of a morphogenic PDE system, but at the time (1952), computers were still not readily available. Therefore, his paper is based on analytical methods. Although computers have since been applied to Turing models, computer-based analysis is still not facilitated by a discussion of numerical algorithms and a readily available system of computer routines.The intent of this book is to provide a basic discussion of numerical methods and associated computer routines for reaction-diffusion systems of varying form. The presentation has a minimum of formal mathematics. Rather, the presentation is in terms of detailed examples, presented at an introductory level. This format should assist readers who are interested in developing computer-based analysis for reaction-diffusion PDE systems without having to first study numerical methods and computer programming (coding).The numerical examples are discussed in terms of: (1) numerical integration of the PDEs to demonstrate the spatiotemporal features of the solutions and (2) a numerical eigenvalue analysis that corroborates the observed temporal variation of the solutions. The resulting temporal variation of the 2D and 3D plots demonstrates how the solutions evolve dynamically, including oscillatory long-term behavior.In all of the examples, routines in R are presented and discussed in detail. The routines are available through this link so that the reader can execute the PDE models to reproduce the reported solutions, then experiment with the models, including extensions and application to alternative models.
£73.15
World Scientific Publishing Co Pte Ltd Mathematical Biology And Biological Physics
Book SynopsisThis is a book on interdisciplinary topics of the Mathematical and Biological Sciences. The treatment is both pedagogical and advanced in order to motivate research students as well as to fulfill the requirements of professional practitioners. There are comprehensive reviews written by senior experts on the important problems of growth and agglomeration in biology, on the algebraic modelling of the genetic code and on multi-step biochemical pathways.There are new results on the state of the art research in the pattern recognition of probability distribution of amino acids, on somitogenesis through reaction-diffusion models, on the mathematical modelling of infectious diseases, on the biophysical modelling of physiological disorders, on the sensitive analysis of parameters of malaria models, on the stability and hopf bifurcation of ecological and epidemiological models, on the viral infection of bee colonies and on the structure and motion of proteins. All these contributions are also strongly recommended to professionals from other scientific areas aiming to work on these interdisciplinary fields.
£108.90
