Mathematical topics on modelling complex systems, 

Автор: Crockett, Robin (university Of Northampton)
Название: A Primer on Fourier Analysis for the Geosciences
ISBN: 1316600246 ISBN-13(EAN): 9781316600245
Издательство: Cambridge Academ
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Цена: 40130.00 T
Наличие на складе: Нет в наличии.
Описание: An intuitive introduction to basic Fourier theory, with an emphasis on geoscience applications. Numerous worked examples from R are used to illustrate the theory, making this an ideal practical guide for graduate students and researchers who are using time-series analysis to quantify periodic features in geoscience data.

Автор: Carl D. Meyer
Название: Matrix Analysis and Applied Linear Algebra
ISBN: 1611977436 ISBN-13(EAN): 9781611977431
Издательство: Mare Nostrum (Eurospan)
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Цена: 86950.00 T
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Описание: This second edition has been almost completely rewritten to create a textbook designed so instructors can determine the degree of rigor and flexible enough for a one- or two-semester course. The author achieves this by increasing the level of sophistication as the text proceeds from traditional first principles in the early chapters to theory and applications in the later ones, and by ensuring that material at any point is not dependent on subsequent developments. While theorems and proofs are highlighted, the emphasis is on applications.

The author provides carefully constructed exercises ranging from easy to moderately challenging to difficult, many of which condition students for topics that follow. An accompanying book, Matrix Analysis and Applied Linear Algebra, Second Edition, Study and Solutions Guide, contains complete solutions and discussions of each exercise; and historical remarks that focus on the personalities of the individuals who created and contributed to the subject's development.

This book is designed for use in either a one- or two-term linear algebra course. It can also serve as a reference to anyone who needs to use or apply linear algebra.

Автор: Shrira Victor
Название: Advances in Wave Turbulence
ISBN: 9814366935 ISBN-13(EAN): 9789814366939
Издательство: World Scientific Publishing
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Цена: 105600.00 T
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Описание: Wave or weak turbulence is a branch of science concerned with the evolution of random wave fields of all kinds and on all scales, from waves in galaxies to capillary waves on water surface, from waves in nonlinear optics to quantum fluids. This title presents the advances in wave turbulence.

Автор: Karl-Peter Hadeler; Michael Mackey; Angela Stevens
Название: Topics in Mathematical Biology
ISBN: 3319656201 ISBN-13(EAN): 9783319656205
Издательство: Springer
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Цена: 102480.00 T
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Описание: These models include delay equations, demographic models, age structured models, Lotka-Volterra systems, replicator systems, genetic models, game theory, Nash equilibria, evolutionary stable strategies, ecological models, epidemiological models, random walks and reaction-diffusion models.

Автор: Andrej V. Cherkaev; Robert Kohn
Название: Topics in the Mathematical Modelling of Composite Materials
ISBN: 0817636625 ISBN-13(EAN): 9780817636623
Издательство: Springer
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Цена: 222670.00 T
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Описание: A collection of research papers dealing with the macroscopic behaviour of microscopically hetergenous materials. The papers have been previously published in French or Russian as "hidden literature". This volume provides English translations of these works.

Автор: Andrej V. Cherkaev; Robert Kohn
Название: Topics in the Mathematical Modelling of Composite Materials
ISBN: 1461273900 ISBN-13(EAN): 9781461273905
Издательство: Springer
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Цена: 186330.00 T
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Описание: This work has implications for many physical problems involving optimal design, composite materials, and coherent phase transitions. Still other work was published in standard books or journals, but written in Russian or French.

Автор: Cherkaev
Название: Topics in the Mathematical Modelling of Composite Materials
ISBN: 3319971832 ISBN-13(EAN): 9783319971834
Издательство: Springer
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Цена: 46570.00 T
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Описание: Over the past several decades, we have witnessed a renaissance of theoretical work on the macroscopic behavior of microscopically heterogeneous materials. This work has implications for many physical problems involving optimal design, composite materials, and coherent phase transitions.

Автор: Lloyd N. Trefethen
Название: Approximation Theory and Approximation Practice: Extended Edition
ISBN: 161197593X ISBN-13(EAN): 9781611975932
Издательство: Mare Nostrum (Eurospan)
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Цена: 60990.00 T
Наличие на складе: Нет в наличии.
Описание: This is a textbook on classical polynomial and rational approximation theory for the twenty-first century. Aimed at advanced undergraduates and graduate students across all of applied mathematics, it uses MATLAB to teach the field’s most important ideas and results.

Approximation Theory and Approximation Practice, Extended Edition differs fundamentally from other works on approximation theory in a number of ways: its emphasis is on topics close to numerical algorithms; concepts are illustrated with Chebfun; and each chapter is a PUBLISHable MATLAB M-file, available online.

The book centers on theorems and methods for analytic functions, which appear so often in applications, rather than on functions at the edge of discontinuity with their seductive theoretical challenges. Original sources are cited rather than textbooks, and each item in the bibliography is accompanied by an editorial comment. In addition, each chapter has a collection of exercises, which span a wide range from mathematical theory to Chebfun-based numerical experimentation.

Автор: Tenreiro Machado
Название: Mathematical Topics on Modelling Complex Systems
ISBN: 9811641684 ISBN-13(EAN): 9789811641688
Издательство: Springer
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Цена: 93160.00 T
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Описание: This book explores recent developments in theoretical research and mathematical modelling of real-world complex systems, organized in four parts. The first part of the book is devoted to the mathematical tools for the design and analysis in engineering and social science study cases. We discuss the periodic evolutions in nonlinear chemical processes, vibro-compact systems and their behaviour, different types of metal–semiconductor self-assembled samples, made of silver nanowires and zinc oxide nanorods. The second part of the book is devoted to mathematical description and modelling of the critical events, climate change and robust emergency scales. In three chapters, we consider a climate-economy model with endogenous carbon intensity and the behaviour of Tehran Stock Exchange market under international sanctions. The third part of the book is devoted to fractional dynamic and fractional control problems. We discuss the novel operational matrix technique for variable-order fractional optimal control problems, the nonlinear variable-order time fractional convection–diffusion equation with generalized polynomials The fourth part of the book concerns solvability and inverse problems in differential and integro-differential equations. The book facilitates a better understanding of the mechanisms and phenomena in nonlinear dynamics and develops the corresponding mathematical theory to apply nonlinear design to practical engineering. It can be read by mathematicians, physicists, complex systems scientists, IT specialists, civil engineers, data scientists and urban planners.

Автор: Ablowitz, Mark J. (university Of Colorado Boulder) Fokas, Athanassios S. (university Of Cambridge)
Название: Introduction to complex variables and applications
ISBN: 1108959725 ISBN-13(EAN): 9781108959728
Издательство: Cambridge Academ
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Цена: 48570.00 T
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Описание: This introduction to complex variables, suitable as a text for a one-semester course, has been written for undergraduate students in applied mathematics, science, and engineering. It contains the essential topics along with advanced topics for use in challenging projects. Many worked examples, applications, and exercises are included.

Автор: Petr N. Vabishchevich
Название: Computational Technologies: Advanced Topics
ISBN: 3110359944 ISBN-13(EAN): 9783110359947
Издательство: Walter de Gruyter
Цена: 61920.00 T
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Описание: This book discusses questions of numerical solutions of applied problems on parallel computing systems. Nowadays, engineering and scientific computations are carried out on parallel computing systems, which provide parallel data processing on a few computing nodes. In the development of up-to-date applied software, this feature of computers must be taken into account for the maximum efficient usage of their resources. In constructing computational algorithms, we should separate relatively independent subproblems in order to solve them on a single computing node.

Автор: Greg Conradi Smith
Название: Cellular Biophysics and Modeling: A Primer on the Computational Biology of Excitable Cells
ISBN: 1107005361 ISBN-13(EAN): 9781107005365
Издательство: Cambridge Academ
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Цена: 100310.00 T
Наличие на складе: Нет в наличии.
Описание: What every neuroscientist should know about the mathematical modeling of excitable cells. Combining empirical physiology and nonlinear dynamics, this text provides an introduction to the simulation and modeling of dynamic phenomena in cell biology and neuroscience. It introduces mathematical modeling techniques alongside cellular electrophysiology. Topics include membrane transport and diffusion, the biophysics of excitable membranes, the gating of voltage and ligand-gated ion channels, intracellular calcium signalling, and electrical bursting in neurons and other excitable cell types. It introduces mathematical modeling techniques such as ordinary differential equations, phase plane, and bifurcation analysis of single-compartment neuron models. With analytical and computational problem sets, this book is suitable for life sciences majors, in biology to neuroscience, with one year of calculus, as well as graduate students looking for a primer on membrane excitability and calcium signalling.