Problems In Euclidean Space
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Problems In Euclidean Space
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Author : Harold Gordon Eggleston
language : en
Publisher:
Release Date : 1957
Problems In Euclidean Space written by Harold Gordon Eggleston and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957 with Convex bodies categories.
Problems And Solutions In Banach Spaces Hilbert Spaces Fourier Transform Wavelets Generalized Functions And Quantum Mechanics
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Author : Willi-hans Steeb
language : en
Publisher: World Scientific
Release Date : 2022-08-23
Problems And Solutions In Banach Spaces Hilbert Spaces Fourier Transform Wavelets Generalized Functions And Quantum Mechanics written by Willi-hans Steeb and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-23 with Mathematics categories.
This book presents a collection of problems and solutions in functional analysis with applications to quantum mechanics. Emphasis is given to Banach spaces, Hilbert spaces and generalized functions.The material of this volume is self-contained, whereby each chapter comprises an introduction with the relevant notations, definitions, and theorems. The approach in this volume is to provide students with instructive problems along with problem-solving strategies. Programming problems with solutions are also included.
Integrable Problems Of Celestial Mechanics In Spaces Of Constant Curvature
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Author : T.G. Vozmischeva
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Integrable Problems Of Celestial Mechanics In Spaces Of Constant Curvature written by T.G. Vozmischeva and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Science categories.
Introd uction The problem of integrability or nonintegrability of dynamical systems is one of the central problems of mathematics and mechanics. Integrable cases are of considerable interest, since, by examining them, one can study general laws of behavior for the solutions of these systems. The classical approach to studying dynamical systems assumes a search for explicit formulas for the solutions of motion equations and then their analysis. This approach stimulated the development of new areas in mathematics, such as the al gebraic integration and the theory of elliptic and theta functions. In spite of this, the qualitative methods of studying dynamical systems are much actual. It was Poincare who founded the qualitative theory of differential equa tions. Poincare, working out qualitative methods, studied the problems of celestial mechanics and cosmology in which it is especially important to understand the behavior of trajectories of motion, i.e., the solutions of differential equations at infinite time. Namely, beginning from Poincare systems of equations (in connection with the study of the problems of ce lestial mechanics), the right-hand parts of which don't depend explicitly on the independent variable of time, i.e., dynamical systems, are studied.
Weyl And The Problem Of Space
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Author : Julien Bernard
language : en
Publisher: Springer Nature
Release Date : 2019-10-09
Weyl And The Problem Of Space written by Julien Bernard and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-09 with Science categories.
This book investigates Hermann Weyl’s work on the problem of space from the early 1920s onwards. It presents new material and opens the philosophical problem of space anew, crossing the disciplines of mathematics, history of science and philosophy. With a Kantian starting point Weyl asks: among all the infinitely many conceivable metrical spaces, which one applies to the physical world? In agreement with general relativity, Weyl acknowledges that the metric can quantitatively vary with the physical situation. Despite this freedom, Weyl “deduces”, with group-theoretical technicalities, that there is only one “kind” of legitimate metric. This construction was then decisive for the development of gauge theories. Nevertheless, the question of the foundations of the metric of physical theories is only a piece of a wider epistemological problem. Contributing authors mark out the double trajectory that goes through Weyl’s texts, from natural science to philosophy and conversely, always through the mediation of mathematics. Readers may trace the philosophical tradition to which Weyl refers and by which he is inspired (Kant, Husserl, Fichte, Leibniz, Becker etc.), and explore the mathematical tradition (Riemann, Helmholtz, Lie, Klein) that permitted Weyl to elaborate and solve his mathematical problem of space. Furthermore, this volume analyzes the role of the interlocutors with whom Weyl discussed the nature of physical space (Einstein, Cartan, De Sitter, Schrödinger, Eddington). This volume features the work of top specialists and will appeal to postgraduates and scholars in philosophy, the history of science, mathematics, or physics.
Geophysical Inverse Theory And Regularization Problems
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Author : Michael S. Zhdanov
language : en
Publisher: Elsevier
Release Date : 2002-04-24
Geophysical Inverse Theory And Regularization Problems written by Michael S. Zhdanov and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-04-24 with Science categories.
This book presents state-of-the-art geophysical inverse theory developed in modern mathematical terminology. The book brings together fundamental results developed by the Russian mathematical school in regularization theory and combines them with the related research in geophysical inversion carried out in the West. It presents a detailed exposition of the methods of regularized solution of inverse problems based on the ideas of Tikhonov regularization, and shows the different forms of their applications in both linear and nonlinear methods of geophysical inversion. This text is the first to treat many kinds of inversion and imaging techniques in a unified mathematical manner.The book is divided in five parts covering the foundations of the inversion theory and its applications to the solution of different geophysical inverse problems, including potential field, electromagnetic, and seismic methods. The first part is an introduction to inversion theory. The second part contains a description of the basic methods of solution of the linear and nonlinear inverse problems using regularization. The following parts treat the application of regularization methods in gravity and magnetic, electromagnetic, and seismic inverse problems. The key connecting idea of these applied parts of the book is the analogy between the solutions of the forward and inverse problems in different geophysical methods. The book also includes chapters related to the modern technology of geophysical imaging, based on seismic and electromagnetic migration.This volume is unique in its focus on providing a link between the methods used in gravity, electromagnetic, and seismic imaging and inversion, and represents an exhaustive treatise on inversion theory.
Some Main Problems Of Philosophy
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Author : George Edward Moore
language : en
Publisher: Routledge
Release Date : 2014-04-04
Some Main Problems Of Philosophy written by George Edward Moore and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-04 with Philosophy categories.
First published in 2002. This title collates a number of the late G. E. Moore's lectures on philosophy with the inclusion of his audience's questions and his answers that would bookend each session. Moore manages to present central, limiting, typical problems discussed in the study of philosophy in such a way that the reader begins to feel them despite themselves. Moore's introduction to philosophical difficulties can help students and scholars alike to judge and understand the most modern attempts to resolve these problems.
Lobachevsky Geometry And Modern Nonlinear Problems
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Author : Andrey Popov
language : en
Publisher: Springer
Release Date : 2014-08-06
Lobachevsky Geometry And Modern Nonlinear Problems written by Andrey Popov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-06 with Mathematics categories.
This monograph presents the basic concepts of hyperbolic Lobachevsky geometry and their possible applications to modern nonlinear applied problems in mathematics and physics, summarizing the findings of roughly the last hundred years. The central sections cover the classical building blocks of hyperbolic Lobachevsky geometry, pseudo spherical surfaces theory, net geometrical investigative techniques of nonlinear differential equations in partial derivatives, and their applications to the analysis of the physical models. As the sine-Gordon equation appears to have profound “geometrical roots” and numerous applications to modern nonlinear problems, it is treated as a universal “object” of investigation, connecting many of the problems discussed. The aim of this book is to form a general geometrical view on the different problems of modern mathematics, physics and natural science in general in the context of non-Euclidean hyperbolic geometry.
Elliptic And Parabolic Problems Proceedings Of The 4th European Conference
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Author : Josef Bemelmans
language : en
Publisher: World Scientific
Release Date : 2002-08-06
Elliptic And Parabolic Problems Proceedings Of The 4th European Conference written by Josef Bemelmans and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-08-06 with Mathematics categories.
This book provides an overview of the state of the art in important subjects, including — besides elliptic and parabolic issues — geometry, free boundary problems, fluid mechanics, evolution problems in general, calculus of variations, homogenization, control, modeling and numerical analysis.
Optimization Problems And Their Applications
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Author : Anton Eremeev
language : en
Publisher: Springer
Release Date : 2018-06-29
Optimization Problems And Their Applications written by Anton Eremeev and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-29 with Computers categories.
This book constitutes extended, revised and selected papers from the 7th International Conference on Optimization Problems and Their Applications, OPTA 2018, held in Omsk, Russia in July 2018. The 27 papers presented in this volume were carefully reviewed and selected from a total of 73 submissions. The papers are listed in thematic sections, namely location problems, scheduling and routing problems, optimization problems in data analysis, mathematical programming, game theory and economical applications, applied optimization problems and metaheuristics.
Problem Solving In Theoretical Physics
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Author : Yury M. Belousov
language : en
Publisher: John Wiley & Sons
Release Date : 2020-07-17
Problem Solving In Theoretical Physics written by Yury M. Belousov and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-17 with Science categories.
"Problem Solving in Theoretical Physics" helps students mastering their theoretical physics courses by posing advanced problems and providing their solutions - along with discussions of their physical significance and possibilities for generalization and transfer to other fields.