Inverse Problems in Diffuse Optical Tomography Applications.- 1D Models for Blood Flow in Arteries.- Uncertainty Quantificatio of Chemical Kinetic Reaction Rate Coefficients.- Nuclear Accidents: How Can Mathematicians Help to Save Lives?.- Drug Delivery from Ophthalmic Lenses.- The Zombie Invasion.- Optimal Heating of an Indoor Swimming Pool.- Some Basic Epidemic Models.- Mathematical Model for the Game Management Plan.- Efficient Parameter-Dependent Simulation of Infections in a Population Model.- Optimising a Cascade of Hydro-electric Power Stations.- Networks of Antennas: Power Optimization.
Автор: Branislav Kisacanin Название: Mathematical Problems and Proofs ISBN: 1475771428 ISBN-13(EAN): 9781475771428 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: A gentle introduction to the highly sophisticated world of discrete mathematics, Mathematical Problems and Proofs presents topics ranging from elementary definitions and theorems to advanced topics -- such as cardinal numbers, generating functions, properties of Fibonacci numbers, and Euclidean algorithm.
Автор: Karl K. Sabelfeld, Nikolai A. Simonov Название: Stochastic Methods for Boundary Value Problems: Numerics for High-dimensional PDEs and Applications ISBN: 3110479060 ISBN-13(EAN): 9783110479065 Издательство: Walter de Gruyter Рейтинг: Цена: 123910.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This monograph is devoted to random walk based stochastic algorithms for solving high-dimensional boundary value problems of mathematical physics and chemistry. It includes Monte Carlo methods where the random walks live not only on the boundary, but also inside the domain. A variety of examples from capacitance calculations to electron dynamics in semiconductors are discussed to illustrate the viability of the approach.The book is written for mathematicians who work in the field of partial differential and integral equations, physicists and engineers dealing with computational methods and applied probability, for students and postgraduates studying mathematical physics and numerical mathematics. Contents: IntroductionRandom walk algorithms for solving integral equationsRandom walk-on-boundary algorithms for the Laplace equationWalk-on-boundary algorithms for the heat equationSpatial problems of elasticityVariants of the random walk on boundary for solving stationary potential problemsSplitting and survival probabilities in random walk methods and applicationsA random WOS-based KMC method for electron-hole recombinationsMonte Carlo methods for computing macromolecules properties and solving related problemsBibliography
Автор: Schwarz Название: 40 Puzzles and Problems in Probability and Mathematical Statistics ISBN: 0387735119 ISBN-13(EAN): 9780387735115 Издательство: Springer Рейтинг: Цена: 55890.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The present book is based on the view that cognitive skills are best acquired by solving challenging, non-standard probability problems. The author's own experience, both in learning and in teaching, is that challenging problems often provide more, and longer lasting, inductive insights than plain-style deductions from general concepts. Problems help to develop, and to sharpen our intuition for important probabilistical concepts and tools such as conditionaing or first-step analyses.Many puzzles and problems presented here are either new within a problem solving context (although as topics in fundamental research they are of course long known) or are variations of classical problems which follow directly from elementary concepts. A small number of particularly instructive problems is taken from previous sources which in this case are generally given.
Автор: Godehard Link Название: Formalism and Beyond: On the Nature of Mathematical Discourse ISBN: 1614518297 ISBN-13(EAN): 9781614518297 Издательство: Walter de Gruyter Цена: 153660.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The essays collected in this volume focus on the role of formalist aspects in mathematical theorizing and practice, examining issues such as infinity, finiteness, and proof procedures, as well as central historical figures in the field, including Frege, Russell, Hilbert and Wittgenstein. Using modern logico-philosophical tools and systematic conceptual and logical analyses, the volume provides a thorough, up-to-date account of the subject.
Автор: W.G. Tifft; W.J. Cocke Название: Modern Mathematical Models of Time and their Applications to Physics and Cosmology ISBN: 9401063729 ISBN-13(EAN): 9789401063722 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Proceedings of the International Conference held in Tucson, AZ, from 11-13 April 1996
Автор: Bardossy GyГ¶rgy, Fodor JГЎnos Название: Evaluation of Uncertainties and Risks in Geology / New Mathematical Approaches for their Handling ISBN: 3540206221 ISBN-13(EAN): 9783540206224 Издательство: Springer Рейтинг: Цена: 158380.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: High levels of uncertainty are a trademark of geological investigations, such as the search for oil, diamonds, and uranium. So business ventures related to geology, such as mineral exploration and mining, are naturally associated with higher risks than more traditional entrepreneurial ventures in industry and economy. There are also a number of dangerous natural hazards, e.g. earthquakes, volcanic activities, and inundations, that are the direct result of geological processes. It is of paramount interest to study them all, to describe them, to understand their origin and - if possible - to predict them. While uncertainties, geological risks and natural hazards are often mentioned in geological textbooks, conferences papers, and articles, no comprehensive and systematic evaluation has so far been attempted. This book, written at an appropriately sophisticated level to deal with complexity of these problems, presents a detailed evaluation of the entire problem, discussing it from both, the geological and the mathematical aspects.
Автор: Rakhee Kulshrestha Название: Mathematical modeling and computation of real-time problems ISBN: 0367517434 ISBN-13(EAN): 9780367517434 Издательство: Taylor&Francis Рейтинг: Цена: 163330.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book covers an interdisciplinary approach for understanding mathematical modeling by offering a collection of models, solved problems related to the models the methodologies employed, and the results using projects and case studies with insight into the operation of substantial real-time systems.
Автор: Aubert Название: Mathematical Problems in Image Processing ISBN: 0387322000 ISBN-13(EAN): 9780387322001 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The updated 2nd edition of this book presents a variety of image analysis applications, reviews their precise mathematics and shows how to discretize them. For the mathematical community, the book shows the contribution of mathematics to this domain, and highlights unsolved theoretical questions.
Inverse Problems in Diffuse Optical Tomography Applications.- 1D Models for Blood Flow in Arteries.- Uncertainty Quantificatio of Chemical Kinetic Reaction Rate Coefficients.- Nuclear Accidents: How Can Mathematicians Help to Save Lives?.- Drug Delivery from Ophthalmic Lenses.- The Zombie Invasion.- Optimal Heating of an Indoor Swimming Pool.- Some Basic Epidemic Models.- Mathematical Model for the Game Management Plan.- Efficient Parameter-Dependent Simulation of Infections in a Population Model.- Optimising a Cascade of Hydro-electric Power Stations.- Networks of Antennas: Power Optimization.
A comprehensive look at four of the most famous problems in mathematics
Tales of Impossibility recounts the intriguing story of the renowned problems of antiquity, four of the most famous and studied questions in the history of mathematics. First posed by the ancient Greeks, these compass and straightedge problems--squaring the circle, trisecting an angle, doubling the cube, and inscribing regular polygons in a circle--have served as ever-present muses for mathematicians for more than two millennia. David Richeson follows the trail of these problems to show that ultimately their proofs--demonstrating the impossibility of solving them using only a compass and straightedge--depended on and resulted in the growth of mathematics. Richeson investigates how celebrated luminaries, including Euclid, Archimedes, Vi te, Descartes, Newton, and Gauss, labored to understand these problems and how many major mathematical discoveries were related to their explorations. Although the problems were based in geometry, their resolutions were not, and had to wait until the nineteenth century, when mathematicians had developed the theory of real and complex numbers, analytic geometry, algebra, and calculus. Pierre Wantzel, a little-known mathematician, and Ferdinand von Lindemann, through his work on pi, finally determined the problems were impossible to solve. Along the way, Richeson provides entertaining anecdotes connected to the problems, such as how the Indiana state legislature passed a bill setting an incorrect value for pi and how Leonardo da Vinci made elegant contributions in his own study of these problems. Taking readers from the classical period to the present, Tales of Impossibility chronicles how four unsolvable problems have captivated mathematical thinking for centuries.
-- "Mathematics Magazine"
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