Listing 1 - 10 of 91 | << page >> |
Sort by
|
Choose an application
Mathematical control theory of applied partial differential equations is built on linear andnonlinearfunctionalanalysisand manyexistencetheoremsin controlt- ory result from applications of theorems in functional analysis. This makes control theoryinaccessibleto studentswhodo nothave a backgroundin functionalanalysis. Many advanced control theory books on in?nite-dimensionalsystems were wr- ten, using functional analysis and semigroup theory, and control theory was p- sented in an abstract setting. This motivates me to write this text for control theory classes in the way to present control theory by concrete examples and try to m- imize the use of functional analysis. Functional analysis is not assumed and any analysis included here is elementary, using calculus such as integration by parts. The material presented in this text is just a simpli?cation of the material from the existing advanced control books. Thus this text is accessible to senior undergra- ate studentsand?rst-yeargraduatestudentsin appliedmathematics,who havetaken linear algebra and ordinary and partial differential equations. Elementary functional analysis is presented in Chapter 2. This material is - quired to present the control theory of partial differential equations. Since many control conceptsand theories for partial differentialequations are transplanted from ?nite-dimensionalcontrol systems, a brief introduction to feedback control of these systemsispresentedinChapter3.Thetopicscoveredinthischapterincludecontr- lability, observability,stabilizability, pole placement, and quadratic optimal control.
Mathematics. --- Partial Differential Equations. --- Applications of Mathematics. --- Control. --- Differential equations, partial. --- Mathématiques --- Control theory --- Wave equation --- Control theory. --- Feedback control systems. --- Wave equation.
Choose an application
This book covers all topics in mechanics from elementary Newtonian mechanics, the principles of canonical mechanics and rigid body mechanics to relativistic mechanics and nonlinear dynamics. It was among the first textbooks to include dynamical systems and deterministic chaos in due detail. As compared to the previous editions the present fifth edition is updated and revised with more explanations, additional examples and sections on Noether's theorem. Symmetries and invariance principles, the basic geometric aspects of mechanics as well as elements of continuum mechanics also play an important role. The book will enable the reader to develop general principles from which equations of motion follow, to understand the importance of canonical mechanics and of symmetries as a basis for quantum mechanics, and to get practice in using general theoretical concepts and tools that are essential for all branches of physics. The book contains more than 120 problems with complete solutions, as well as some practical examples which make moderate use of personal computers. This will be appreciated in particular by students using this textbook to accompany lectures on mechanics. The book ends with some historical notes on scientists who made important contributions to the development of mechanics.
Physics. --- Mechanics. --- Theoretical and Applied Mechanics. --- Applications of Mathematics. --- Mathematical Methods in Physics. --- Dynamical Systems and Ergodic Theory. --- Differentiable dynamical systems. --- Mathematics. --- Mathematical physics. --- Mechanics, applied. --- Physique --- Dynamique différentiable --- Mathématiques --- Physique mathématique --- Mécanique --- Mechanics, Applied --- Deterministic chaos.
Choose an application
This monograph presents a well written and clearly organized introduction in the standard methods of discrete, continuous and hybrid Petri Nets. Starting from the basics of Petri nets the book imparts an accurate understanding of continuous and hybrid Petri Nets. Preserving the consistency of basic concepts throughout the text it introduces a unified framework for all the models presented. The book is a scientific monograph as well as a didactic tutorial which is easy to understand due to many exercises with solutions, detailed figures and several case studies. It demonstrates that Petri nets are a deep, practical and alive field important for researchers, engineers and graduate students in engineering and computer science. Improvements and additions in this second edition have widely benefited from teaching, student questions, and various discussions with colleagues interested or involved in the topic.
Engineering. --- Control, Robotics, Mechatronics. --- Computational Intelligence. --- Mathematical Logic and Formal Languages. --- Artificial Intelligence (incl. Robotics). --- Systems Theory, Control. --- Applications of Mathematics. --- Computer science. --- Artificial intelligence. --- Mathematics. --- Systems theory. --- Ingénierie --- Informatique --- Intelligence artificielle --- Mathématiques --- Petri nets
Choose an application
This textbook provides a comprehensive introduction to the theories, techniques and applications of image fusion. It is aimed at advanced undergraduate and first-year graduate students in electrical engineering and computer science. It should also be useful to practicing engineers who wish to learn the concepts of image fusion and use them in real-life applications. The book is intended to be self-contained. No previous knowledge of image fusion is assumed, although some familiarity with elementary image processing and the basic tools of linear algebra is recommended. The book may also be used as a supplementary text for a course on advanced image processing. Apart from two preliminary chapters, the book is divided into three parts. Part I deals with the conceptual theories and ideas which underlie image fusion. Particular emphasis is given to the concept of a common representational framework and includes detailed discussions on the techniques of image registration, radiometric calibration and semantic equivalence. Part II deals with a wide range of techniques and algorithms which are in common use in image fusion. Among the topics considered are: sub-space transformations, multi-resolution analysis, wavelets, ensemble learning, bagging, boosting, color spaces, image thresholding, Markov random fields, image similarity measures and the expectation-maximization algorithm. Together Parts I and II form an integrated and comprehensive overview of image fusion. Part III deals with applications. In it several real-life examples of image fusion are examined in detail, including panchromatic sharpening, ensemble color image segmentation and the Simultaneous Truth and Performance algorithm of Warfield et al. The book is accompanied by a webpage from which supplementary material may be obtained. This includes support for course instructors and links to relevant matlab code.
Engineering. --- Signal, Image and Speech Processing. --- Image Processing and Computer Vision. --- Computational Intelligence. --- Artificial Intelligence (incl. Robotics). --- Applications of Mathematics. --- Engineering. --- Artificial intelligence. --- Computer vision. --- Mathematics. --- Ingénierie --- Intelligence artificielle --- Vision par ordinateur --- Mathématiques
Choose an application
During the last three decades geosciences and geo-engineering were influenced by two essential scenarios: First, the technological progress has changed completely the observational and measurement techniques. Modern high speed computers and satellite based techniques are entering more and more all geodisciplines. Second, there is a growing public concern about the future of our planet, its climate, its environment, and about an expected shortage of natural resources. Obviously, both aspects, viz. efficient strategies of protection against threats of a changing Earth and the exceptional situation of getting terrestrial, airborne as well as spaceborne data of better and better quality explain the strong need of new mathematical structures, tools, and methods. Mathematics concerned with geoscientific problems, i.e., Geomathematics, is becoming increasingly important. The ‘Handbook Geomathematics’ as a central reference work in this area comprises the following scientific fields: (I) observational and measurement key technologies (II) modelling of the system Earth (geosphere, cryosphere, hydrosphere, atmosphere, biosphere) (III) analytic, algebraic, and operator-theoretic methods (IV) statistical and stochastic methods (V) computational and numerical analysis methods (VI) historical background and future perspectives.
Mathematics. --- Earth sciences. --- Applied mathematics. --- Engineering mathematics. --- Applications of Mathematics. --- Earth Sciences, general. --- Geology --- Mathematics --- Geognosy --- Geoscience --- Earth sciences --- Natural history --- Geography. --- Cosmography --- World history --- Math --- Science --- Geosciences --- Environmental sciences --- Physical sciences --- Engineering --- Engineering analysis --- Mathematical analysis
Choose an application
The book focuses classical oligopoly theory as developed in 1840-1940. By the end of this period oligopoly came under the spell of game theory in its probabilistic equilibrium format. Work by Cournot, von Stackelberg, Palander, and Hotelling, causal and dynamic in essence, but ignored, is reconsidered in the light of modern dynamics using topology and numerics. As particular features, von Stackelberg leadership is included in the dynamic Cournot model, the Hotelling problem is solved with elastic demand, thus skipping the absurd idea of quadratic transportation costs. Further, it is shown that the celebrated destabilisation of Cournot equilibrium under increased competition is due to mistakenly assuming constant returns, and that the whole idea of rational expectations is untenable in dynamic oligopoly. Early original ideas in oligopoly theory, such as coexistence and multiplicity of attractors are focused again after many undeserved decades of oblivion.
Oligopolies -- Mathematical models. --- Oligopolies. --- Management --- Business & Economics --- Industrial Management --- Management Theory --- Interorganizational relations. --- Monopolies, Partial --- Partial monopolies --- Applied mathematics. --- Engineering mathematics. --- Industrial organization. --- Economics. --- Industrial Organization. --- Applications of Mathematics. --- Intergroup relations --- Organization --- Complex organizations --- Economic concentration --- Competition, Imperfect --- Interorganizational relations
Choose an application
Unlike many other texts, this book deals with the theory of representations of finite groups, compact groups, linear Lie groups and their Lie algebras, concisely and in one volume. Key Topics: ¢ Brisk review of the basic definitions of group theory, with examples ¢ Representation theory of finite groups: character theory ¢ Representations of compact groups using the Haar measure ¢ Lie algebras and linear Lie groups ¢ Detailed study of SO(3) and SU(2), and their representations ¢ Spherical harmonics ¢ Representations of SU(3), roots and weights, with quark theory as a consequence of the mathematical properties of this symmetry group This book is illustrated with portraits and a few historical remarks. With only linear algebra and calculus as prerequisites, Groups and Symmetries: From Finite Groups to Lie Groups is accessible to advanced undergraduates in mathematics and physics, and will still be of interest to beginning graduate students. Exercises for each chapter and a collection of problems with complete solutions make this an ideal text for the classroom and for independent study.
Mathematics. --- Group Theory and Generalizations. --- Applications of Mathematics. --- Theoretical, Mathematical and Computational Physics. --- Quantum Physics. --- Crystallography. --- Group theory. --- Quantum theory. --- Mathématiques --- Groupes, Théorie des --- Théorie quantique --- Cristallographie --- Théorie des groupes --- Representations of groups. --- Finite groups. --- Lie groups. --- Représentations de groupes --- Groupes finis --- Lie, Groupes de --- Représentations de groupes. --- Groupes finis. --- Lie, Groupes de. --- Groupes, Théorie des.
Choose an application
This concise textbook presents the mathematics that is foundational to multimedia applications. Featuring a rigorous survey of selected results from algebra and analysis, the work examines tools used to create application software for multimedia signal processing and communication. Key features include: * Over 100 exercises with complete solutions; * Useful algorithms presented in pseudocode and Standard C to help readers with programming, experimentation, and the solution of exercises; * Numerous illustrations based on data from real studies; * Suggestions for further reading at the end of each chapter; * A companion website maintained by the author providing computer programs described in the book as well as additional references and data files, such as images and sounds, to enhance the reader's understanding of key topics; * A supplementary manual containing several hundred exercises, solutions, and sample programs not included in the book available to instructors upon request; * Minimal prerequisites only an undergraduate-level knowledge of mathematics, not including statistics, is required. Mathematics for Multimedia is an ideal textbook for upper undergraduate and beginning graduate students in pure and applied mathematics, engineering, and computer science seeking an innovative approach to contemporary mathematics with practical applications. The work may also serve as a useful reference for multimedia applications developers and other researchers and practitioners interested in the mathematics underlying multimedia software design and implementation.
Mathematics. --- Applications of Mathematics. --- Multimedia Information Systems. --- Algorithms. --- Fourier Analysis. --- Mathematical Software. --- Multimedia systems. --- Fourier analysis. --- Computer software. --- Mathématiques --- Multimédia --- Analyse de Fourier --- Algorithmes --- Logiciels --- Multimedia systems --- Math --- Science --- Computer-based multimedia information systems --- Multimedia computing --- Multimedia information systems --- Multimedia knowledge systems --- Information storage and retrieval systems --- Mathematics
Choose an application
La Matematica Numerica è una disciplina che si sviluppa in simbiosi con il calcolatore. Questo testo propone, oltre a richiami degli argomenti fondamentali, sia Esercizi teorici da risolvere "con carta e penna'', atti a far comprendere meglio al lettore la teoria, sia Laboratori, in cui per un dato problema si debbono scegliere gli algoritmi più adatti, realizzare un programma in linguaggio Matlab per la loro implementazione, infine rappresentare, interpretare ed analizzare alla luce della teoria i risultati numerici. Per ogni Esercizio ed ogni Laboratorio si presenta una risoluzione dettagliata, completata da una ampia discussione critica. Il testo contiene infine alcuni Progetti, riguardanti il primo gli algoritmi di page ranking dei moderni motori di ricerca, il secondo la determinazione del campo elettrico fra due conduttori, il terzo alcuni sistemi dinamici oscillanti di grande rilevanza in applicazioni elettroniche e biologiche.
Numerical analysis -- Mathematical models. --- Numerical analysis -- Problems, exercises, etc. --- Numerical analysis. --- Engineering & Applied Sciences --- Applied Mathematics --- Numerical analysis --- Data processing. --- Mathematics. --- Applied mathematics. --- Engineering mathematics. --- Computer mathematics. --- Numerical Analysis. --- Computational Mathematics and Numerical Analysis. --- Computational Science and Engineering. --- Applications of Mathematics. --- Mathematical analysis --- Computer science --- Computer science. --- Math --- Science --- Informatics --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Mathematics --- Engineering --- Engineering analysis
Choose an application
This new approach to real analysis stresses the use of the subject in applications, showing how the principles and theory of real analysis can be applied in various settings. Applications cover approximation by polynomials, discrete dynamical systems, differential equations, Fourier series and physics, Fourier series and approximation, wavelets, and convexity and optimization. Each chapter has many useful exercises. The treatment of the basic theory covers the real numbers, functions, and calculus, while emphasizing the role of normed vector spaces, and particularly of Rn. The applied chapters are mostly independent, giving the reader a choice of topics. This book is appropriate for students with a prior knowledge of both calculus and linear algebra who want a careful development of both analysis and its use in applications. Review of the previous version of this book, Real Analysis with Real Applications: "A well balanced book! The first solid analysis course, with proofs, is central in the offerings of any math.-dept.; ---and yet, the new books that hit the market don't always hit the mark: the balance between theory and applications, ---between technical proofs and intuitive ideas, ---between classical and modern subjects, and between real life exercises vs. the ones that drill a new concept. The Davidson-Donsig book is outstanding, and it does hit the mark." Palle E. T. Jorgenson, Review from Amazon.com Kenneth R. Davidson is University Professor of Mathematics at the University of Waterloo. Allan P. Donsig is Associate Professor of Mathematics at the University of Nebraska-Lincoln.
Electronic books. -- local. --- Mathematical analysis. --- Mathematics. --- Mathematical analysis --- Applied Mathematics --- Engineering & Applied Sciences --- Math --- 517.1 Mathematical analysis --- Analysis (Mathematics). --- Functions of real variables. --- Applied mathematics. --- Engineering mathematics. --- Real Functions. --- Analysis. --- Applications of Mathematics. --- Science --- Global analysis (Mathematics). --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Engineering --- Engineering analysis --- Real variables --- Mathematics
Listing 1 - 10 of 91 | << page >> |
Sort by
|