Sequential Models Of Mathematical Physics
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Sequential Models Of Mathematical Physics
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Author : Simon Serovajsky
language : en
Publisher: CRC Press
Release Date : 2019-01-22
Sequential Models Of Mathematical Physics written by Simon Serovajsky and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-22 with Mathematics categories.
The equations of mathematical physics are the mathematical models of the large class of phenomenon of physics, chemistry, biology, economics, etc. In Sequential Models of Mathematical Physics, the author considers the justification of the process of constructing mathematical models. The book seeks to determine the classic, generalized and sequential solutions, the relationship between these solutions, its direct physical sense, the methods of its practical finding, and its existence. Features Describes a sequential method based on the construction of space completion, as well as its applications in number theory, the theory of distributions, the theory of extremum, and mathematical physics Presentation of the material is carried out on the simplest example of a one-dimensional stationary heat transfer process; all necessary concepts and constructions are introduced and illustrated with elementary examples, which makes the material accessible to a wide area of readers The solution of a specific mathematical problem is obtained as a result of the joint application of methods and concepts from completely different mathematical directions
Mathematical Modelling
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Author : Simon Serovajsky
language : en
Publisher: CRC Press
Release Date : 2021-11-23
Mathematical Modelling written by Simon Serovajsky and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-23 with Mathematics categories.
Mathematical Modelling sets out the general principles of mathematical modelling as a means comprehending the world. Within the book, the problems of physics, engineering, chemistry, biology, medicine, economics, ecology, sociology, psychology, political science, etc. are all considered through this uniform lens. The author describes different classes of models, including lumped and distributed parameter systems, deterministic and stochastic models, continuous and discrete models, static and dynamical systems, and more. From a mathematical point of view, the considered models can be understood as equations and systems of equations of different nature and variational principles. In addition to this, mathematical features of mathematical models, applied control and optimization problems based on mathematical models, and identification of mathematical models are also presented. Features Each chapter includes four levels: a lecture (main chapter material), an appendix (additional information), notes (explanations, technical calculations, literature review) and tasks for independent work; this is suitable for undergraduates and graduate students and does not require the reader to take any prerequisite course, but may be useful for researchers as well Described mathematical models are grouped both by areas of application and by the types of obtained mathematical problems, which contributes to both the breadth of coverage of the material and the depth of its understanding Can be used as the main textbook on a mathematical modelling course, and is also recommended for special courses on mathematical models for physics, chemistry, biology, economics, etc.
Probabilistic Parametric Curves For Sequence Modeling
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Author : Hug, Ronny
language : en
Publisher: KIT Scientific Publishing
Release Date : 2022-07-12
Probabilistic Parametric Curves For Sequence Modeling written by Hug, Ronny and has been published by KIT Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-12 with Mathematics categories.
This work proposes a probabilistic extension to Bézier curves as a basis for effectively modeling stochastic processes with a bounded index set. The proposed stochastic process model is based on Mixture Density Networks and Bézier curves with Gaussian random variables as control points. A key advantage of this model is given by the ability to generate multi-mode predictions in a single inference step, thus avoiding the need for Monte Carlo simulation.
Optimization
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Author : Simon Serovajsky
language : en
Publisher: CRC Press
Release Date : 2024-07-30
Optimization written by Simon Serovajsky and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-30 with Mathematics categories.
Optimization: 100 Examples is a book devoted to the analysis of scenarios for which the use of well-known optimization methods encounter certain difficulties. Analysing such examples allows a deeper understanding of the features of these optimization methods, including the limits of their applicability. In this way, the book seeks to stimulate further development and understanding of the theory of optimal control. The study of the presented examples makes it possible to more effectively diagnose problems that arise in the practical solution of optimal control problems, and to find ways to overcome the difficulties that have arisen. Features Vast collection of examples Simple. accessible presentation Suitable as a research reference for anyone with an interest in optimization and optimal control theory, including mathematicians and engineers Examples differ in properties, i.e. each effect for each class of problems is illustrated by a unique example. Simon Serovajsky is a professor of mathematics at Al-Farabi Kazakh National University in Kazakhstan. He is the author of many books published in the area of optimization and optimal control theory, mathematical physics, mathematical modelling, philosophy and history of mathematics as well as a long list of high-quality publications in learned journals.
Mathematical Methods Of Theoretical Physics
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Author : Karl Svozil
language : en
Publisher: World Scientific
Release Date : 2020-02-24
Mathematical Methods Of Theoretical Physics written by Karl Svozil and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-24 with Science categories.
'This book could serve either as a good reference to remind students about what they have seen in their completed courses or as a starting point to show what needs more investigation. Svozil (Vienna Univ. of Technology) offers a very thorough text that leaves no mathematical area out, but it is best described as giving a synopsis of each application and how it relates to other areas … The text is organized well and provides a good reference list. Summing Up: Recommended. Upper-division undergraduates and graduate students.'CHOICEThis book contains very explicit proofs and demonstrations through examples for a comprehensive introduction to the mathematical methods of theoretical physics. It also combines and unifies many expositions of this subject, suitable for readers with interest in experimental and applied physics.
Research In Education
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Author :
language : en
Publisher:
Release Date : 1972
Research In Education written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Education categories.
Selected Mathematical Methods In Theoretical Physics
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Author : Vladmir P. Krainov
language : en
Publisher: CRC Press
Release Date : 2001-10-18
Selected Mathematical Methods In Theoretical Physics written by Vladmir P. Krainov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-10-18 with Science categories.
Selected Mathematical Methods in Theoretical Physics shows how a scientist, knowing the answer to a problem intuitively or through experiment, can develop a mathematical method to prove that answer. The approach adopted by the author first involves the formulation of differential or integral equations for describing the physical procession, the basis of more general physical laws. Then the approximate solution of these equations is worked out, using small dimensionless physical parameters, or using numerical parameters for the objects under consideration. The eleven chapters of the book, which can be read in sequence or studied independently of each other, contain many examples of simple physical models, as well as problems for students to solve. This is a supplementary textbook for advanced university students in theoretical physics. It will enrich the knowledge of students who already have a solid grounding in mathematical analysis.
Mathematical Aspects Of Geometric Modeling
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Author : Charles A. Micchelli
language : en
Publisher: SIAM
Release Date : 1995-01-01
Mathematical Aspects Of Geometric Modeling written by Charles A. Micchelli and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-01 with Mathematics categories.
This monograph examines in detail certain concepts that are useful for the modeling of curves and surfaces and emphasizes the mathematical theory that underlies these ideas. The two principal themes of the text are the use of piecewise polynomial representation (this theme appears in one form or another in every chapter), and iterative refinement, also called subdivision. Here, simple iterative geometric algorithms produce, in the limit, curves with complex analytic structure. In the first three chapters, the de Casteljau subdivision for Bernstein-Bezier curves is used to introduce matrix subdivision, and the Lane-Riesenfield algorithm for computing cardinal splines is tied into stationary subdivision. This ultimately leads to the construction of prewavelets of compact support. The remainder of the book deals with concepts of "visual smoothness" of curves, along with the intriguing idea of generating smooth multivariate piecewise polynomials as volumes of "slices" of polyhedra. The final chapter contains an evaluation of polynomials by finite recursive algorithms. Each chapter contains introductory material as well as more advanced results.
Reading Mcdowell
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Author : Nicholas Smith
language : en
Publisher: Routledge
Release Date : 2002-11
Reading Mcdowell written by Nicholas Smith and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11 with Philosophy categories.
Internationally renowned contributors analyse and discuss John McDowell's challenging Mind and World. Concludes with responses from McDowell himself. An important contribution to analytic philosophy and the broader philosophical debate.
Physics For Mathematicians
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Author : Michael Spivak
language : en
Publisher:
Release Date : 2010
Physics For Mathematicians written by Michael Spivak and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mechanics categories.