Lobachevsky Geometry And Modern Nonlinear Problems

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Lobachevsky Geometry and Modern Nonlinear Problems

Author : Andrey Popov
Publisher : Springer
ISBN 13 : 3319056697
Total Pages : 315 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Lobachevsky Geometry and Modern Nonlinear Problems by : Andrey Popov

Download or read book Lobachevsky Geometry and Modern Nonlinear Problems written by Andrey Popov and published by Springer. This book was released on 2014-08-06 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Problems in Quantum Mechanics and Field Theory with Mathematical Modelling

Author : Aleksander V. Chichurin
Publisher : CRC Press
ISBN 13 : 1040127363
Total Pages : 374 pages
Book Rating : 4.0/5 (41 download)

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Book Synopsis Problems in Quantum Mechanics and Field Theory with Mathematical Modelling by : Aleksander V. Chichurin

Download or read book Problems in Quantum Mechanics and Field Theory with Mathematical Modelling written by Aleksander V. Chichurin and published by CRC Press. This book was released on 2024-10-08 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Problems in Quantum Mechanics and Field Theory with Mathematical Modelling, a number of exactly solvable problems in electrodynamics and in quantum-mechanics of particles with different spins are presented. The main topics covered include: the Cox scalar particle with intrinsic structure in presence of the magnetic field in the spaces of constant curvature, Euclid, Riemann, and Lobachevsky; Cox particle in the Coulomb field; tunneling effect through Schwarzschild barrier for a spin 1/2 particle; electromagnetic field in Schwarzschild space-time, the Majorana - Oppenheimer approach in electrodynamics; scalar particle with polarizability in the Coulomb field; Dirac particle in the Coulomb field on the background of hyperbolic Lobachevsky and spherical Riemann models; particle with spin 1 in the Coulomb field; geometrical modeling of the media in Maxwell electrodynamics; P-asymmetric equation for a spin 1/2 particle; fermion with two mass parameters in the Coulomb field; helicity operator for a spin 2 particle in presence of the magnetic field. The book will be of interest to researchers, and is accessible enough to serve as a self-study resources for courses at undergraduate and graduate levels.

Some Nonlinear Problems in Riemannian Geometry

Author : Thierry Aubin
Publisher : Springer Science & Business Media
ISBN 13 : 3662130068
Total Pages : 414 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Some Nonlinear Problems in Riemannian Geometry by : Thierry Aubin

Download or read book Some Nonlinear Problems in Riemannian Geometry written by Thierry Aubin and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with such important subjects as variational methods, the continuity method, parabolic equations on fiber bundles, ideas concerning points of concentration, blowing-up technique, geometric and topological methods. It explores important geometric problems that are of interest to many mathematicians and scientists but have only recently been partially solved.

XV International Scientific Conference “INTERAGROMASH 2022”

Author : Alexey Beskopylny
Publisher : Springer Nature
ISBN 13 : 3031212193
Total Pages : 3148 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis XV International Scientific Conference “INTERAGROMASH 2022” by : Alexey Beskopylny

Download or read book XV International Scientific Conference “INTERAGROMASH 2022” written by Alexey Beskopylny and published by Springer Nature. This book was released on 2023-02-24 with total page 3148 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains proceedings of the XV International Scientific Conference INTERAGROMASH 2022, Rostov-on-Don, Russia. This conference is dedicated to the innovations in the field of precision agriculture, robotics and machines, as well as agriculture biotechnologies and soil management. It is a collection of original and fundamental research in such areas as follows: unmanned aerial systems, satellite-based applications, proximal and remote sensing of soil and crop, positioning systems, geostatistics, mapping and spatial data analysis, robotics, and automation. Potential and prospects for the use of hydrogen in agriculture, for example, in high-performance tractors with hybrid electric transmission, are disclosed in the research works of scientists from all over the world. It also includes such topics as precision horticulture, precision crop protection, differential harvest, precision livestock farming, controlling environment in animal husbandry, and other topics. One of the important issues raised in the book is to ensure the autonomy of local farms. The topic of the impact of the agro-industrial sector on the environment also received wide coverage. Ways to reduce the burden on the environment are proposed, and the use of alternative fuels and fertilizers is suggested. The research results presented in this book cover the experience and the latest studies on the sustainable functioning of agribusiness in several climatic zones. The tundra and taiga, forest-steppe, the steppe and semi-desert—all this is a unique and incredibly demanded bank of information, the main value of which is the real experience of the functioning of agribusiness in difficult climatic and geographic conditions. These materials are of interest for professionals and practitioners, for researchers, scholars, and producers. They are used in the educational process at specific agricultural universities or during vocational training at enterprises and also become an indispensable helper to farm managers in making the best agronomic decisions.

Geometry of Banach Spaces, Duality Mappings and Nonlinear Problems

Author : I. Cioranescu
Publisher : Springer Science & Business Media
ISBN 13 : 9780792309109
Total Pages : 284 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Geometry of Banach Spaces, Duality Mappings and Nonlinear Problems by : I. Cioranescu

Download or read book Geometry of Banach Spaces, Duality Mappings and Nonlinear Problems written by I. Cioranescu and published by Springer Science & Business Media. This book was released on 1990-09-30 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: One service mathematics has rendered the 'Et moi, ...* si Javait so comment en revenir. je n'y serais point alle.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. o. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. AIl arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Elliptic–Hyperbolic Partial Differential Equations

Author : Thomas H. Otway
Publisher : Springer
ISBN 13 : 3319197614
Total Pages : 134 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Elliptic–Hyperbolic Partial Differential Equations by : Thomas H. Otway

Download or read book Elliptic–Hyperbolic Partial Differential Equations written by Thomas H. Otway and published by Springer. This book was released on 2015-07-08 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is a concise introduction to the partial differential equations which change from elliptic to hyperbolic type across a smooth hypersurface of their domain. These are becoming increasingly important in diverse sub-fields of both applied mathematics and engineering, for example: • The heating of fusion plasmas by electromagnetic waves • The behaviour of light near a caustic • Extremal surfaces in the space of special relativity • The formation of rapids; transonic and multiphase fluid flow • The dynamics of certain models for elastic structures • The shape of industrial surfaces such as windshields and airfoils • Pathologies of traffic flow • Harmonic fields in extended projective space They also arise in models for the early universe, for cosmic acceleration, and for possible violation of causality in the interiors of certain compact stars. Within the past 25 years, they have become central to the isometric embedding of Riemannian manifolds and the prescription of Gauss curvature for surfaces: topics in pure mathematics which themselves have important applications. Elliptic−Hyperbolic Partial Differential Equations is derived from a mini-course given at the ICMS Workshop on Differential Geometry and Continuum Mechanics held in Edinburgh, Scotland in June 2013. The focus on geometry in that meeting is reflected in these notes, along with the focus on quasilinear equations. In the spirit of the ICMS workshop, this course is addressed both to applied mathematicians and to mathematically-oriented engineers. The emphasis is on very recent applications and methods, the majority of which have not previously appeared in book form.

Topics In Contemporary Differential Geometry, Complex Analysis And Mathematical Physics - Proceedings Of The 8th International Workshop On Complex Structures And Vector Fields

Download Topics In Contemporary Differential Geometry, Complex Analysis And Mathematical Physics - Proceedings Of The 8th International Workshop On Complex Structures And Vector Fields PDF Online Free

Author : Kouei Sekigawa
Publisher : World Scientific
ISBN 13 : 9814475025
Total Pages : 350 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Topics In Contemporary Differential Geometry, Complex Analysis And Mathematical Physics - Proceedings Of The 8th International Workshop On Complex Structures And Vector Fields by : Kouei Sekigawa

Download or read book Topics In Contemporary Differential Geometry, Complex Analysis And Mathematical Physics - Proceedings Of The 8th International Workshop On Complex Structures And Vector Fields written by Kouei Sekigawa and published by World Scientific. This book was released on 2007-06-11 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the contributions by the participants in the eight of a series workshops in complex analysis, differential geometry and mathematical physics and related areas.Active specialists in mathematical physics contribute to the volume, providing not only significant information for researchers in the area but also interesting mathematics for non-specialists and a broader audience. The contributions treat topics including differential geometry, partial differential equations, integrable systems and mathematical physics.

A Gyrovector Space Approach to Hyperbolic Geometry

Author : Abraham Ungar
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1598298232
Total Pages : 194 pages
Book Rating : 4.5/5 (982 download)

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Book Synopsis A Gyrovector Space Approach to Hyperbolic Geometry by : Abraham Ungar

Download or read book A Gyrovector Space Approach to Hyperbolic Geometry written by Abraham Ungar and published by Morgan & Claypool Publishers. This book was released on 2009-03-08 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mere mention of hyperbolic geometry is enough to strike fear in the heart of the undergraduate mathematics and physics student. Some regard themselves as excluded from the profound insights of hyperbolic geometry so that this enormous portion of human achievement is a closed door to them. The mission of this book is to open that door by making the hyperbolic geometry of Bolyai and Lobachevsky, as well as the special relativity theory of Einstein that it regulates, accessible to a wider audience in terms of novel analogies that the modern and unknown share with the classical and familiar. These novel analogies that this book captures stem from Thomas gyration, which is the mathematical abstraction of the relativistic effect known as Thomas precession. Remarkably, the mere introduction of Thomas gyration turns Euclidean geometry into hyperbolic geometry, and reveals mystique analogies that the two geometries share. Accordingly, Thomas gyration gives rise to the prefix "gyro" that is extensively used in the gyrolanguage of this book, giving rise to terms like gyrocommutative and gyroassociative binary operations in gyrogroups, and gyrovectors in gyrovector spaces. Of particular importance is the introduction of gyrovectors into hyperbolic geometry, where they are equivalence classes that add according to the gyroparallelogram law in full analogy with vectors, which are equivalence classes that add according to the parallelogram law. A gyroparallelogram, in turn, is a gyroquadrilateral the two gyrodiagonals of which intersect at their gyromidpoints in full analogy with a parallelogram, which is a quadrilateral the two diagonals of which intersect at their midpoints. Table of Contents: Gyrogroups / Gyrocommutative Gyrogroups / Gyrovector Spaces / Gyrotrigonometry

Advanced Numerical Approximation of Nonlinear Hyperbolic Equations

Author : B. Cockburn
Publisher : Springer
ISBN 13 : 3540498044
Total Pages : 446 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Advanced Numerical Approximation of Nonlinear Hyperbolic Equations by : B. Cockburn

Download or read book Advanced Numerical Approximation of Nonlinear Hyperbolic Equations written by B. Cockburn and published by Springer. This book was released on 2006-11-14 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the texts of the four series of lectures presented by B.Cockburn, C.Johnson, C.W. Shu and E.Tadmor at a C.I.M.E. Summer School. It is aimed at providing a comprehensive and up-to-date presentation of numerical methods which are nowadays used to solve nonlinear partial differential equations of hyperbolic type, developing shock discontinuities. The most effective methodologies in the framework of finite elements, finite differences, finite volumes spectral methods and kinetic methods, are addressed, in particular high-order shock capturing techniques, discontinuous Galerkin methods, adaptive techniques based upon a-posteriori error analysis.

Nonlinear Analysis, Geometry and Applications

Author : Diaraf Seck
Publisher : Springer Nature
ISBN 13 : 3031046161
Total Pages : 525 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Nonlinear Analysis, Geometry and Applications by : Diaraf Seck

Download or read book Nonlinear Analysis, Geometry and Applications written by Diaraf Seck and published by Springer Nature. This book was released on 2022-10-09 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers twenty-two papers presented at the second NLAGA-BIRS Symposium, which was held at Cap Skirring and at the Assane Seck University in Ziguinchor, Senegal, on January 25–30, 2022. The five-day symposium brought together African experts on nonlinear analysis and geometry and their applications, as well as their international partners, to present and discuss mathematical results in various areas. The main goal of the NLAGA project is to advance and consolidate the development of these mathematical fields in West and Central Africa with a focus on solving real-world problems such as coastal erosion, pollution, and urban network and population dynamics problems. The book addresses a range of topics related to partial differential equations, geometric analysis, geometric structures, dynamics, optimization, inverse problems, complex analysis, algebra, algebraic geometry, control theory, stochastic approximations, and modelling.

The Fourth Dimension and Non-Euclidean Geometry in Modern Art, revised edition

Author : Linda Dalrymple Henderson
Publisher : MIT Press
ISBN 13 : 0262536552
Total Pages : 759 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis The Fourth Dimension and Non-Euclidean Geometry in Modern Art, revised edition by : Linda Dalrymple Henderson

Download or read book The Fourth Dimension and Non-Euclidean Geometry in Modern Art, revised edition written by Linda Dalrymple Henderson and published by MIT Press. This book was released on 2018-05-18 with total page 759 pages. Available in PDF, EPUB and Kindle. Book excerpt: The long-awaited new edition of a groundbreaking work on the impact of alternative concepts of space on modern art. In this groundbreaking study, first published in 1983 and unavailable for over a decade, Linda Dalrymple Henderson demonstrates that two concepts of space beyond immediate perception—the curved spaces of non-Euclidean geometry and, most important, a higher, fourth dimension of space—were central to the development of modern art. The possibility of a spatial fourth dimension suggested that our world might be merely a shadow or section of a higher dimensional existence. That iconoclastic idea encouraged radical innovation by a variety of early twentieth-century artists, ranging from French Cubists, Italian Futurists, and Marcel Duchamp, to Max Weber, Kazimir Malevich, and the artists of De Stijl and Surrealism. In an extensive new Reintroduction, Henderson surveys the impact of interest in higher dimensions of space in art and culture from the 1950s to 2000. Although largely eclipsed by relativity theory beginning in the 1920s, the spatial fourth dimension experienced a resurgence during the later 1950s and 1960s. In a remarkable turn of events, it has returned as an important theme in contemporary culture in the wake of the emergence in the 1980s of both string theory in physics (with its ten- or eleven-dimensional universes) and computer graphics. Henderson demonstrates the importance of this new conception of space for figures ranging from Buckminster Fuller, Robert Smithson, and the Park Place Gallery group in the 1960s to Tony Robbin and digital architect Marcos Novak.

Nonlinear Partial Differential Equations and Hyperbolic Wave Phenomena

Author : Norske videnskaps-akademi. Research Program on Nonlinear Partial Differential Equations
Publisher : American Mathematical Soc.
ISBN 13 : 082184976X
Total Pages : 402 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Nonlinear Partial Differential Equations and Hyperbolic Wave Phenomena by : Norske videnskaps-akademi. Research Program on Nonlinear Partial Differential Equations

Download or read book Nonlinear Partial Differential Equations and Hyperbolic Wave Phenomena written by Norske videnskaps-akademi. Research Program on Nonlinear Partial Differential Equations and published by American Mathematical Soc.. This book was released on 2010-10-01 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the state of the art in several directions of research conducted by renowned mathematicians who participated in the research program on Nonlinear Partial Differential Equations at the Centre for Advanced Study at the Norwegian Academy of Science and Letters, Oslo, Norway, during the academic year 2008-09. The main theme of the volume is nonlinear partial differential equations that model a wide variety of wave phenomena. Topics discussed include systems of conservation laws, compressible Navier-Stokes equations, Navier-Stokes-Korteweg type systems in models for phase transitions, nonlinear evolution equations, degenerate/mixed type equations in fluid mechanics and differential geometry, nonlinear dispersive wave equations (Korteweg-de Vries, Camassa-Holm type, etc.), and Poisson interface problems and level set formulations.

Frontiers In Differential Geometry, Partial Differential Equations And Mathematical Physics: In Memory Of Gu Chaohao

Author : Mo-lin Ge
Publisher : World Scientific
ISBN 13 : 981457810X
Total Pages : 371 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Frontiers In Differential Geometry, Partial Differential Equations And Mathematical Physics: In Memory Of Gu Chaohao by : Mo-lin Ge

Download or read book Frontiers In Differential Geometry, Partial Differential Equations And Mathematical Physics: In Memory Of Gu Chaohao written by Mo-lin Ge and published by World Scientific. This book was released on 2014-03-18 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of papers in memory of Gu Chaohao on the subjects of Differential Geometry, Partial Differential Equations and Mathematical Physics that Gu Chaohao made great contributions to with all his intelligence during his lifetime.All contributors to this book are close friends, colleagues and students of Gu Chaohao. They are all excellent experts among whom there are 9 members of the Chinese Academy of Sciences. Therefore this book will provide some important information on the frontiers of the related subjects.

The "golden" Non-Euclidean Geometry

Author : Alekseĭ Petrovich Stakhov
Publisher :
ISBN 13 : 9789814678308
Total Pages : 284 pages
Book Rating : 4.6/5 (783 download)

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Book Synopsis The "golden" Non-Euclidean Geometry by : Alekseĭ Petrovich Stakhov

Download or read book The "golden" Non-Euclidean Geometry written by Alekseĭ Petrovich Stakhov and published by . This book was released on 2017 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book overturns our ideas about non-Euclidean geometry and the fine-structure constant, and attempts to solve long-standing mathematical problems. It describes a general theory of'recursive'hyperbolic functions based on the'Mathematics of Harmony, 'and the'golden, ''silver, 'and other'metallic'proportions. Then, these theories are used to derive an original solution to Hilbert's Fourth Problem for hyperbolic and spherical geometries. On this journey, the book describes the'golden'qualitative theory of dynamical systems based on'metallic'proportions. Finally, it presents a solution to a Millennium Problem by developing the Fibonacci special theory of relativity as an original physical-mathematical solution for the fine-structure constant. It is intended for a wide audience who are interested in the history of mathematics, non-Euclidean geometry, Hilbert's mathematical problems, dynamical systems, and Millennium Problems. Contents:The Golden Ratio, Fibonacci Numbers, and the'Golden'Hyperbolic Fibonacci and Lucas FunctionsThe Mathematics of Harmony and General Theory of Recursive Hyperbolic FunctionsHyperbolic and Spherical Solutions of Hilbert's Fourth Problem: The Way to the Recursive Non-Euclidean GeometriesIntroduction to the'Golden'Qualitative Theory of Dynamical Systems Based on the Mathematics of HarmonyThe Basic Stages of the Mathematical Solution to the Fine-Structure Constant Problem as a Physical Millennium ProblemAppendix: From the'Golden'Geometry to the MultiverseReadership: Advanced undergraduate and graduate students in mathematics and theoretical physics, mathematicians and scientists of different specializations interested in history of mathematics and new mathematical ideas.

Geometric Analysis of Hyperbolic Differential Equations: An Introduction

Author : S. Alinhac
Publisher : Cambridge University Press
ISBN 13 : 1139485814
Total Pages : pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Geometric Analysis of Hyperbolic Differential Equations: An Introduction by : S. Alinhac

Download or read book Geometric Analysis of Hyperbolic Differential Equations: An Introduction written by S. Alinhac and published by Cambridge University Press. This book was released on 2010-05-20 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Its self-contained presentation and 'do-it-yourself' approach make this the perfect guide for graduate students and researchers wishing to access recent literature in the field of nonlinear wave equations and general relativity. It introduces all of the key tools and concepts from Lorentzian geometry (metrics, null frames, deformation tensors, etc.) and provides complete elementary proofs. The author also discusses applications to topics in nonlinear equations, including null conditions and stability of Minkowski space. No previous knowledge of geometry or relativity is required.

Contact Geometry and Nonlinear Differential Equations

Author : Alexei Kushner
Publisher : Cambridge University Press
ISBN 13 : 0521824761
Total Pages : 472 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Contact Geometry and Nonlinear Differential Equations by : Alexei Kushner

Download or read book Contact Geometry and Nonlinear Differential Equations written by Alexei Kushner and published by Cambridge University Press. This book was released on 2007 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shows novel and modern ways of solving differential equations using methods from contact and symplectic geometry.

Geometric Analysis and Nonlinear Partial Differential Equations

Author : Stefan Hildebrandt
Publisher : Springer Science & Business Media
ISBN 13 : 3642556272
Total Pages : 663 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Geometric Analysis and Nonlinear Partial Differential Equations by : Stefan Hildebrandt

Download or read book Geometric Analysis and Nonlinear Partial Differential Equations written by Stefan Hildebrandt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is not a textbook, but rather a coherent collection of papers from the field of partial differential equations. Nevertheless we believe that it may very well serve as a good introduction into some topics of this classical field of analysis which, despite of its long history, is highly modem and well prospering. Richard Courant wrote in 1950: "It has always been a temptationfor mathematicians to present the crystallized product of their thought as a deductive general theory and to relegate the individual mathematical phenomenon into the role of an example. The reader who submits to the dogmatic form will be easily indoctrinated. Enlightenment, however, must come from an understanding of motives; live mathematical development springs from specific natural problems which can be easily understood, but whose solutions are difficult and demand new methods or more general significance. " We think that many, if not all, papers of this book are written in this spirit and will give the reader access to an important branch of analysis by exhibiting interest ing problems worth to be studied. Most of the collected articles have an extensive introductory part describing the history of the presented problems as well as the state of the art and offer a well chosen guide to the literature. This way the papers became lengthier than customary these days, but the level of presentation is such that an advanced graduate student should find the various articles both readable and stimulating.