Mathematical Sciences with Multidisciplinary Applications: In Honor of Professor Christiane Rousseau. and in Recognition of the Mathematics for Planet, Toni Bourama
Автор: Crisan Dan Название: Mathematics Of Planet Earth: A Primer ISBN: 1786343827 ISBN-13(EAN): 9781786343826 Издательство: World Scientific Publishing Рейтинг: Цена: 109830.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Mathematics of Planet Earth (MPE) was started and continues to be consolidated as a collaboration of mathematical science organisations around the world. These organisations work together to tackle global environmental, social and economic problems using mathematics.This textbook introduces the fundamental topics of MPE to advanced undergraduate and graduate students in mathematics, physics and engineering while explaining their modern usages and operational connections. In particular, it discusses the links between partial differential equations, data assimilation, dynamical systems, mathematical modelling and numerical simulations and applies them to insightful examples.The text also complements advanced courses in geophysical fluid dynamics (GFD) for meteorology, atmospheric science and oceanography. It links the fundamental scientific topics of GFD with their potential usage in applications of climate change and weather variability. The immediacy of examples provides an excellent introduction for experienced researchers interested in learning the scope and primary concepts of MPE.
Автор: Steven Lord, Fedor Sukochev, Dmitriy Zanin Название: Singular Traces: Theory and Applications ISBN: 3110262509 ISBN-13(EAN): 9783110262506 Издательство: Walter de Gruyter Цена: 123910.00 T Наличие на складе: Невозможна поставка. Описание: This book is the first complete study and monograph dedicated to singular traces. The text mathematically formalises the study of traces in a self contained theory of functional analysis. Extensive notes will treat the historical development. The final section will contain the most complete and concise treatment known of the integration half of Connes' quantum calculus. Singular traces are traces on ideals of compact operators that vanish on the subideal of finite rank operators. Singular traces feature in A. Connes' interpretation of noncommutative residues. Particularly the Dixmier trace,which generalises the restricted Adler-Manin-Wodzicki residue of pseudo-differential operators and plays the role of the residue for a new catalogue of 'geometric' spaces, including Connes-Chamseddine standard models, Yang-Mills action for quantum differential forms, fractals, isospectral deformations, foliations and noncommutative index theory. The theory of singular traces has been studied after Connes' application to non-commutative geometry and physics by various authors. Recent work by Nigel Kalton and the authors has advanced the theory of singular traces.Singular traces can be equated to symmetric functionals of symmetricsequence or function spaces, residues of zeta functions and heat kernel asymptotics, and characterised by Lidksii and Fredholm formulas. The traces and formulas used in noncommutative geometry are now completely understood in this theory, with surprising new mathematical and physical consequences. For mathematical readers the text offers fundamental functional analysis results and, due to Nigel Kalton's contribution, a now complete theory of traces on compact operators. For mathematical physicists and other users of Connes' noncommutative geometry the text offers a complete reference to Dixmier traces and access to the deeper mathematical features of traces on ideals associated to the harmonic sequence. These features, not known and not discussed in general texts on noncommutative geometry, are undoubtably physical and probe to the fascinating heart of classical limits and quantization.
Автор: Toni Название: Mathematical Sciences with Multidisciplinary Applications ISBN: 3319313215 ISBN-13(EAN): 9783319313214 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book is the fourth in a multidisciplinary series which brings together leading researchers in the STEAM-H disciplines (Science, Technology, Engineering, Agriculture, Mathematics and Health) to present their perspective on advances in their own specific fields, and to generate a genuinely interdisciplinary collaboration that transcends parochial subject-matter boundaries. All contributions are carefully edited, peer-reviewed, reasonably self-contained, and pedagogically crafted for a multidisciplinary readership. Contributions are drawn from a variety of fields including mathematics, statistics, game theory and behavioral sciences, biomathematics and physical chemistry, computer science and human-centered computing. This volume is dedicated to Professor Christiane Rousseau, whose work inspires the STEAM-H series, in recognition of her passion for the mathematical sciences and her on-going initiative, the Mathematics of Planet Earth paradigm of interdisciplinarity. The volume's primary goal is to enhance interdisciplinary understanding between these areas of research by showing how new advances in a particular field can be relevant to open problems in another and how many disciplines contribute to a better understanding of relevant issues at the interface of mathematics and the sciences. The main emphasis is on important methods, research directions and applications of analysis within and beyond each field. As such, the volume aims to foster student interest and participation in the STEAM-H domain, as well as promote interdisciplinary research collaborations. The volume is valuable as a reference of choice and a source of inspiration for a broad spectrum of scientists, mathematicians, research students and postdoctoral fellows.
Автор: Lydia Bieri, Piotr T. Chrusciel, Tristan C. Collins, Shing-Tung Yau Название: Nonlinear Analysis in Geometry and Applied Mathematics, Part 2: Part of the program year 2015–2016 on “Nonlinear Equations” at the Harvard Center of Mathematical Sciences and Applications ISBN: 1571463593 ISBN-13(EAN): 9781571463593 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 39730.00 T Наличие на складе: Невозможна поставка. Описание: During 2015-2016, Harvard University`s Center of Mathematical Sciences and Applications hosted a year-long thematic program on nonlinear equations and their connections to geometry, physics, and computer science. This volume presents articles contributed by some of the participants in this program, and builds on the activities of that year.
Автор: Alfio Quarteroni, Luca Dede`, Andrea Manzoni, Christian Vergara Название: Mathematical Modelling of the Human Cardiovascular System: Data, Numerical Approximation, Clinical Applications ISBN: 110848039X ISBN-13(EAN): 9781108480390 Издательство: Cambridge Academ Рейтинг: Цена: 88710.00 T Наличие на складе: Поставка под заказ. Описание: The mathematical modelling of the human cardiovascular system, from patient data to clinical applications, is discussed in this book. It gives researchers an overview of the main differential problems underlying the physiology and pathology of the cardiovascular system, as well as rigorous numerical methods for large-scale computation.
Автор: Dumitru Baleanu, Antonio Mendes Lopes Название: Applications in Engineering, Life and Social Sciences, Part A ISBN: 3110570912 ISBN-13(EAN): 9783110570915 Издательство: Walter de Gruyter Цена: 161100.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This seventh volume collects authoritative chapters covering several applications of fractional calculus in in engineering, life, and social sciences, including applications in biology and medicine, mechanics of complex media, economy, and electrical devices.
Автор: Bernido Christopher C & Carpio-Bernido M Victoria Название: Methods And Applications Of White Noise Analysis In Interdisciplinary Sciences ISBN: 9814569119 ISBN-13(EAN): 9789814569118 Издательство: World Scientific Publishing Рейтинг: Цена: 83430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Analysis, modeling, and simulation for better understanding of diverse complex natural and social phenomena often require powerful tools and analytical methods. Tractable approaches, however, can be developed with mathematics beyond the common toolbox. This book presents the white noise stochastic calculus, originated by T Hida, as a novel and powerful tool in investigating physical and social systems. The calculus, when combined with Feynman's summation-over-all-histories, has opened new avenues for resolving cross-disciplinary problems. Applications to real-world complex phenomena are further enhanced by parametrizing non-Markovian evolution of a system with various types of memory functions. This book presents general methods and applications to problems encountered in complex systems, scaling in industry, neuroscience, polymer physics, biophysics, time series analysis, relativistic and nonrelativistic quantum systems.
Автор: Boling Guo, Lixin Tian, Zhenya Yan, Liming Ling, Название: Rogue Waves: Mathematical Theory and Applications in Physics ISBN: 3110469421 ISBN-13(EAN): 9783110469424 Издательство: Walter de Gruyter Рейтинг: Цена: 148700.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book gives an overview of the theoretical research on rogue waves and discusses solutions to rogue wave formation via the Darboux and bilinear transformations, algebro-geometric reduction, and inverse scattering and similarity transformations. Studies on nonlinear optics are included, making the book a comprehensive reference for researchers in applied mathematics, optical physics, geophysics, and ocean engineering. ContentsThe Research Process for Rogue WavesConstruction of Rogue Wave Solution by the Generalized Darboux TransformationConstruction of Rogue Wave Solution by Hirota Bilinear Method, Algebro-geometric Approach and Inverse Scattering MethodThe Rogue Wave Solution and Parameters Managing in Nonautonomous Physical Model
Автор: Dumitru Baleanu and Antonio Mendes Lopes Название: Handbook of Fractional Calculus with Applications ISBN: 3110570920 ISBN-13(EAN): 9783110570922 Издательство: Walter de Gruyter Рейтинг: Цена: 149590.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This eighth volume collects authoritative chapters covering several applications of fractional calculus in engineering, life and social sciences, including applications in signal and image analysis, and chaos.
The aim of this volume is to make a connection among advanced mathematical tools and application to real problems. There are many different mathematical structures analyzed in the book and all of them are in important applications, like statistics and biology, neural networks and financial markets, asymptotic methods for partial differential equations and the problem of tsunami propagation. Plasma physics has been given a new approach, using focal points in analogy to the theory of tsunami waves.
Автор: A.C. Fowler Название: Mathematical Models in the Applied Sciences, (Cambridge Texts in Applied Mathematics) 1st Edition ISBN: 0521467039 ISBN-13(EAN): 9780521467032 Издательство: Cambridge Academ Рейтинг: Цена: 76030.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Presents a thorough grounding in the techniques of mathematical modelling, and proceeds to explore a range of classical and continuum models from an array of disciplines.
Автор: Crisan Dan, Holm Darryl D, Cotter Colin, Cheraghi Davoud, Calderhead Ben, Broecker Jochen, Kuna Tobias, Shepherd Ted, Weller Hilary, Pelloni Beatrice Название: Mathematics Of Planet Earth: A Primer ISBN: 1786343835 ISBN-13(EAN): 9781786343833 Издательство: World Scientific Publishing Рейтинг: Цена: 36960.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Mathematics of Planet Earth (MPE) was started and continues to be consolidated as a collaboration of mathematical science organisations around the world. These organisations work together to tackle global environmental, social and economic problems using mathematics.
This textbook introduces the fundamental topics of MPE to advanced undergraduate and graduate students in mathematics, physics and engineering while explaining their modern usages and operational connections. In particular, it discusses the links between partial differential equations, data assimilation, dynamical systems, mathematical modelling and numerical simulations and applies them to insightful examples.
The text also complements advanced courses in geophysical fluid dynamics (GFD) for meteorology, atmospheric science and oceanography. It links the fundamental scientific topics of GFD with their potential usage in applications of climate change and weather variability. The immediacy of examples provides an excellent introduction for experienced researchers interested in learning the scope and primary concepts of MPE.
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