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Author : Paul Gartside
Publisher : American Mathematical Society
ISBN 13 : 1470467844
Total Pages : 98 pages
Book Rating : 4.4/5 (74 download)
Download or read book Eulerian Spaces written by Paul Gartside and published by American Mathematical Society. This book was released on 2024-01-26 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Author : Gabor T. Herman
Publisher : Springer Science & Business Media
ISBN 13 : 1461241367
Total Pages : 221 pages
Book Rating : 4.4/5 (612 download)
Download or read book Geometry of Digital Spaces written by Gabor T. Herman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: "La narraci6n literaria es la evocaci6n de las nostalgias. " ("Literary narration is the evocation of nostalgia. ") G. G. Marquez, interview in Puerta del Sol, VII, 4, 1996. A Personal Prehistory In 1972 I started cooperating with members of the Biodynamics Research Unit at the Mayo Clinic in Rochester, Minnesota, which was under the direction of Earl H. Wood. At that time, their ambitious (and eventually realized) dream was to build the Dynamic Spatial Reconstructor (DSR), a device capable of collecting data regarding the attenuation of X-rays through the human body fast enough for stop-action imaging the full extent of the beating heart inside the thorax. Such a device can be applied to study the dynamic processes of cardiopulmonary physiology, in a manner similar to the application of an ordinary cr (computerized tomography) scanner to observing stationary anatomy. The standard method of displaying the information produced by a cr scanner consists of showing two-dimensional images, corresponding to maps of the X-ray attenuation coefficient in slices through the body. (Since different tissue types attenuate X-rays differently, such maps provide a good visualization of what is in the body in those slices; bone - which attenuates X-rays a lot - appears white, air appears black, tumors typically appear less dark than the surrounding healthy tissue, etc. ) However, it seemed to me that this display mode would not be appropriate for the DSR.
Author : James C. Robinson
Publisher : Cambridge University Press
ISBN 13 : 131658934X
Total Pages : 247 pages
Book Rating : 4.3/5 (165 download)
Download or read book Recent Progress in the Theory of the Euler and Navier–Stokes Equations written by James C. Robinson and published by Cambridge University Press. This book was released on 2016-01-21 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: The rigorous mathematical theory of the Navier–Stokes and Euler equations has been a focus of intense activity in recent years. This volume, the product of a workshop in Venice in 2013, consolidates, surveys and further advances the study of these canonical equations. It consists of a number of reviews and a selection of more traditional research articles on topics that include classical solutions to the 2D Euler equation, modal dependency for the 3D Navier–Stokes equation, zero viscosity Boussinesq equations, global regularity and finite-time singularities, well-posedness for the diffusive Burgers equations, and probabilistic aspects of the Navier–Stokes equation. The result is an accessible summary of a wide range of active research topics written by leaders in their field, together with some exciting new results. The book serves both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers.
Author : Francesco Maggi
Publisher : Cambridge University Press
ISBN 13 : 1009179705
Total Pages : 317 pages
Book Rating : 4.0/5 (91 download)
Download or read book Optimal Mass Transport on Euclidean Spaces written by Francesco Maggi and published by Cambridge University Press. This book was released on 2023-10-31 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: A pedagogical introduction to the key ideas and theoretical foundation of optimal mass transport for a graduate course or self-study.
Author : Jacob Bedrossian
Publisher : American Mathematical Society
ISBN 13 : 1470471787
Total Pages : 235 pages
Book Rating : 4.4/5 (74 download)
Download or read book The Mathematical Analysis of the Incompressible Euler and Navier-Stokes Equations written by Jacob Bedrossian and published by American Mathematical Society. This book was released on 2022-09-22 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to provide beginning graduate students who completed the first two semesters of graduate-level analysis and PDE courses with a first exposure to the mathematical analysis of the incompressible Euler and Navier-Stokes equations. The book gives a concise introduction to the fundamental results in the well-posedness theory of these PDEs, leaving aside some of the technical challenges presented by bounded domains or by intricate functional spaces. Chapters 1 and 2 cover the fundamentals of the Euler theory: derivation, Eulerian and Lagrangian perspectives, vorticity, special solutions, existence theory for smooth solutions, and blowup criteria. Chapters 3, 4, and 5 cover the fundamentals of the Navier-Stokes theory: derivation, special solutions, existence theory for strong solutions, Leray theory of weak solutions, weak-strong uniqueness, existence theory of mild solutions, and Prodi-Serrin regularity criteria. Chapter 6 provides a short guide to the must-read topics, including active research directions, for an advanced graduate student working in incompressible fluids. It may be used as a roadmap for a topics course in a subsequent semester. The appendix recalls basic results from real, harmonic, and functional analysis. Each chapter concludes with exercises, making the text suitable for a one-semester graduate course. Prerequisites to this book are the first two semesters of graduate-level analysis and PDE courses.
Author : Vialar Thierry
Publisher : BoD - Books on Demand
ISBN 13 : 2955199052
Total Pages : 1134 pages
Book Rating : 4.9/5 (551 download)
Download or read book Handbook of Mathematics written by Vialar Thierry and published by BoD - Books on Demand. This book was released on 2023-08-22 with total page 1134 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book, revised, consists of XI Parts and 28 Chapters covering all areas of mathematics. It is a tool for students, scientists, engineers, students of many disciplines, teachers, professionals, writers and also for a general reader with an interest in mathematics and in science. It provides a wide range of mathematical concepts, definitions, propositions, theorems, proofs, examples, and numerous illustrations. The difficulty level can vary depending on chapters, and sustained attention will be required for some. The structure and list of Parts are quite classical: I. Foundations of Mathematics, II. Algebra, III. Number Theory, IV. Geometry, V. Analytic Geometry, VI. Topology, VII. Algebraic Topology, VIII. Analysis, IX. Category Theory, X. Probability and Statistics, XI. Applied Mathematics. Appendices provide useful lists of symbols and tables for ready reference. Extensive cross-references allow readers to find related terms, concepts and items (by page number, heading, and objet such as theorem, definition, example, etc.). The publisher’s hope is that this book, slightly revised and in a convenient format, will serve the needs of readers, be it for study, teaching, exploration, work, or research.
Author : Guerino Mazzola
Publisher : Springer
ISBN 13 : 3030009823
Total Pages : 194 pages
Book Rating : 4.0/5 (3 download)
Download or read book Basic Music Technology written by Guerino Mazzola and published by Springer. This book was released on 2018-11-02 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introduction to basic music technology, including acoustics for sound production and analysis, Fourier, frequency modulation, wavelets, and physical modeling and a classification of musical instruments and sound spaces for tuning and counterpoint. The acoustical theory is applied to its implementation in analogue and digital technology, including a detailed discussion of Fast Fourier Transform and MP3 compression. Beyond acoustics, the book discusses important symbolic sound event representation and software as typically realized by MIDI and denotator formalisms. The concluding chapters deal with globalization of music on the Internet, referring to iTunes, Spotify and similar environments. The book will be valuable for students of music, music informatics, and sound engineering.
Author : Bipan Hazarika
Publisher : CRC Press
ISBN 13 : 1000824438
Total Pages : 338 pages
Book Rating : 4.0/5 (8 download)
Download or read book Advances in Mathematical Analysis and its Applications written by Bipan Hazarika and published by CRC Press. This book was released on 2022-12-12 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Mathematical Analysis and its Applications is designed as a reference text and explores several important aspects of recent developments in the interdisciplinary applications of mathematical analysis (MA), and highlights how MA is now being employed in many areas of scientific research. It discusses theory and problems in real and complex analysis, functional analysis, approximation theory, operator theory, analytic inequalities, the Radon transform, nonlinear analysis, and various applications of interdisciplinary research; some topics are also devoted to specific applications such as the three-body problem, finite element analysis in fluid mechanics, algorithms for difference of monotone operators, a vibrational approach to a financial problem, and more. Features: The book encompasses several contemporary topics in the field of mathematical analysis, their applications, and relevancies in other areas of research and study. It offers an understanding of research problems by presenting the necessary developments in reasonable details The book also discusses applications and uses of operator theory, fixed-point theory, inequalities, bi-univalent functions, functional equations, and scalar-objective programming, and presents various associated problems and ways to solve such problems Contains applications on wavelets analysis and COVID-19 to show that mathematical analysis has interdisciplinary as well as real life applications. The book is aimed primarily at advanced undergraduates and postgraduate students studying mathematical analysis and mathematics in general. Researchers will also find this book useful.
Author : Simon Markfelder
Publisher : Springer Nature
ISBN 13 : 3030837858
Total Pages : 244 pages
Book Rating : 4.0/5 (38 download)
Download or read book Convex Integration Applied to the Multi-Dimensional Compressible Euler Equations written by Simon Markfelder and published by Springer Nature. This book was released on 2021-10-20 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book applies the convex integration method to multi-dimensional compressible Euler equations in the barotropic case as well as the full system with temperature. The convex integration technique, originally developed in the context of differential inclusions, was applied in the groundbreaking work of De Lellis and Székelyhidi to the incompressible Euler equations, leading to infinitely many solutions. This theory was later refined to prove non-uniqueness of solutions of the compressible Euler system, too. These non-uniqueness results all use an ansatz which reduces the equations to a kind of incompressible system to which a slight modification of the incompressible theory can be applied. This book presents, for the first time, a generalization of the De Lellis–Székelyhidi approach to the setting of compressible Euler equations. The structure of this book is as follows: after providing an accessible introduction to the subject, including the essentials of hyperbolic conservation laws, the idea of convex integration in the compressible framework is developed. The main result proves that under a certain assumption there exist infinitely many solutions to an abstract initial boundary value problem for the Euler system. Next some applications of this theorem are discussed, in particular concerning the Riemann problem. Finally there is a survey of some related results. This self-contained book is suitable for both beginners in the field of hyperbolic conservation laws as well as for advanced readers who already know about convex integration in the incompressible framework.
Author :
Publisher : Krishna Prakashan Media
ISBN 13 : 9788182830714
Total Pages : 754 pages
Book Rating : 4.8/5 (37 download)
Download or read book Spherical Astronomy and Space Dynamics written by and published by Krishna Prakashan Media. This book was released on with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yefeng Zheng
Publisher : Springer Science & Business
ISBN 13 : 1493906003
Total Pages : 284 pages
Book Rating : 4.4/5 (939 download)
Download or read book Marginal Space Learning for Medical Image Analysis written by Yefeng Zheng and published by Springer Science & Business. This book was released on 2014-04-16 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Automatic detection and segmentation of anatomical structures in medical images are prerequisites to subsequent image measurements and disease quantification, and therefore have multiple clinical applications. This book presents an efficient object detection and segmentation framework, called Marginal Space Learning, which runs at a sub-second speed on a current desktop computer, faster than the state-of-the-art. Trained with a sufficient number of data sets, Marginal Space Learning is also robust under imaging artifacts, noise and anatomical variations. The book showcases 35 clinical applications of Marginal Space Learning and its extensions to detecting and segmenting various anatomical structures, such as the heart, liver, lymph nodes and prostate in major medical imaging modalities (CT, MRI, X-Ray and Ultrasound), demonstrating its efficiency and robustness.
Author : Erdal Yiğit
Publisher : Springer
ISBN 13 : 3319215817
Total Pages : 119 pages
Book Rating : 4.3/5 (192 download)
Download or read book Atmospheric and Space Sciences: Neutral Atmospheres written by Erdal Yiğit and published by Springer. This book was released on 2015-07-27 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: The SpringerBriefs on Atmospheric and Space Sciences in two volumes presents a concise and interdisciplinary introduction to the basic theory, observation & modeling of atmospheric and ionospheric coupling processes on Earth. The goal is to contribute toward bridging the gap between meteorology, aeronomy, and planetary science. In addition recent progress in several related research topics, such atmospheric wave coupling and variability, is discussed. Volume 1 will focus on the atmosphere, while Volume 2 will present the ionosphere— the plasma environment. Volume 1 is aimed primarily at (research) students and researchers that would like to gain quick insight in atmospheric sciences and current research. It also is a useful tool for professors who would like to develop a course in atmospheric physics.
Author : Mahima Ranjan Adhikari
Publisher : Springer
ISBN 13 : 813222843X
Total Pages : 628 pages
Book Rating : 4.1/5 (322 download)
Download or read book Basic Algebraic Topology and its Applications written by Mahima Ranjan Adhikari and published by Springer. This book was released on 2016-09-16 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an accessible introduction to algebraic topology, a field at the intersection of topology, geometry and algebra, together with its applications. Moreover, it covers several related topics that are in fact important in the overall scheme of algebraic topology. Comprising eighteen chapters and two appendices, the book integrates various concepts of algebraic topology, supported by examples, exercises, applications and historical notes. Primarily intended as a textbook, the book offers a valuable resource for undergraduate, postgraduate and advanced mathematics students alike. Focusing more on the geometric than on algebraic aspects of the subject, as well as its natural development, the book conveys the basic language of modern algebraic topology by exploring homotopy, homology and cohomology theories, and examines a variety of spaces: spheres, projective spaces, classical groups and their quotient spaces, function spaces, polyhedra, topological groups, Lie groups and cell complexes, etc. The book studies a variety of maps, which are continuous functions between spaces. It also reveals the importance of algebraic topology in contemporary mathematics, theoretical physics, computer science, chemistry, economics, and the biological and medical sciences, and encourages students to engage in further study.
Author : Martin D. Crossley
Publisher : Springer Science & Business Media
ISBN 13 : 9781852337827
Total Pages : 244 pages
Book Rating : 4.3/5 (378 download)
Download or read book Essential Topology written by Martin D. Crossley and published by Springer Science & Business Media. This book was released on 2011-02-11 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings the most important aspects of modern topology within reach of a second-year undergraduate student. It successfully unites the most exciting aspects of modern topology with those that are most useful for research, leaving readers prepared and motivated for further study. Written from a thoroughly modern perspective, every topic is introduced with an explanation of why it is being studied, and a huge number of examples provide further motivation. The book is ideal for self-study and assumes only a familiarity with the notion of continuity and basic algebra.
Author : T.G. Vozmischeva
Publisher : Springer Science & Business Media
ISBN 13 : 9781402015212
Total Pages : 204 pages
Book Rating : 4.0/5 (152 download)
Download or read book Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature written by T.G. Vozmischeva and published by Springer Science & Business Media. This book was released on 2003-10-31 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Jeffrey R. Weeks
Publisher : CRC Press
ISBN 13 : 0824748379
Total Pages : 279 pages
Book Rating : 4.8/5 (247 download)
Download or read book The Shape of Space written by Jeffrey R. Weeks and published by CRC Press. This book was released on 2001-12-12 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: Maintaining the standard of excellence set by the previous edition, this textbook covers the basic geometry of two- and three-dimensional spaces Written by a master expositor, leading researcher in the field, and MacArthur Fellow, it includes experiments to determine the true shape of the universe and contains illustrated examples and engaging exercises that teach mind-expanding ideas in an intuitive and informal way. Bridging the gap from geometry to the latest work in observational cosmology, the book illustrates the connection between geometry and the behavior of the physical universe and explains how radiation remaining from the big bang may reveal the actual shape of the universe.
Author : Manfred Morari
Publisher : Springer
ISBN 13 : 3540319549
Total Pages : 695 pages
Book Rating : 4.5/5 (43 download)
Download or read book Hybrid Systems: Computation and Control written by Manfred Morari and published by Springer. This book was released on 2005-02-25 with total page 695 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 8th International Workshop on Hybrid Systems: Computation and Control, HSCC 2005, held in Zurich, Switzerland in March 2005. The 40 revised full papers presented together with 2 invited papers and the abstract of an invited talk were carefully reviewed and selected from 91 submissions. The papers focus on modeling, analysis, and implementation of dynamic and reactive systems involving both discrete and continuous behaviors. Among the topics addressed are tools for analysis and verification, control and optimization, modeling, engineering applications, and emerging directions in programming language support and implementation.
