Topology, Calculus and Approximation

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Publisher : Springer
ISBN 13 : 1447173163
Total Pages : 383 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Topology, Calculus and Approximation by : Vilmos Komornik

Download or read book Topology, Calculus and Approximation written by Vilmos Komornik and published by Springer. This book was released on 2017-04-04 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting basic results of topology, calculus of several variables, and approximation theory which are rarely treated in a single volume, this textbook includes several beautiful, but almost forgotten, classical theorems of Descartes, Erdős, Fejér, Stieltjes, and Turán. The exposition style of Topology, Calculus and Approximation follows the Hungarian mathematical tradition of Paul Erdős and others. In the first part, the classical results of Alexandroff, Cantor, Hausdorff, Helly, Peano, Radon, Tietze and Urysohn illustrate the theories of metric, topological and normed spaces. Following this, the general framework of normed spaces and Carathéodory's definition of the derivative are shown to simplify the statement and proof of various theorems in calculus and ordinary differential equations. The third and final part is devoted to interpolation, orthogonal polynomials, numerical integration, asymptotic expansions and the numerical solution of algebraic and differential equations. Students of both pure and applied mathematics, as well as physics and engineering should find this textbook useful. Only basic results of one-variable calculus and linear algebra are used, and simple yet pertinent examples and exercises illustrate the usefulness of most theorems. Many of these examples are new or difficult to locate in the literature, and so the original sources of most notions and results are given to help readers understand the development of the field.

Approximations Diophantiennes et Nombres Transcendants. Diophantine Approximations and Transcendental Numbers

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Publisher : Walter de Gruyter
ISBN 13 : 3110861445
Total Pages : 321 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Approximations Diophantiennes et Nombres Transcendants. Diophantine Approximations and Transcendental Numbers by : Patrice Philippon

Download or read book Approximations Diophantiennes et Nombres Transcendants. Diophantine Approximations and Transcendental Numbers written by Patrice Philippon and published by Walter de Gruyter. This book was released on 2011-09-27 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Functional Differential Equations and Approximation of Fixed Points

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Publisher : Springer
ISBN 13 : 3540351299
Total Pages : 513 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Functional Differential Equations and Approximation of Fixed Points by : H.-O. Peitgen

Download or read book Functional Differential Equations and Approximation of Fixed Points written by H.-O. Peitgen and published by Springer. This book was released on 2006-11-15 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dedicated to Heinz Unger on occasion of his 65. birthday

Catalogue of Scientific Papers

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Publisher :
ISBN 13 :
Total Pages : 1072 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Catalogue of Scientific Papers by : Royal Society (Great Britain)

Download or read book Catalogue of Scientific Papers written by Royal Society (Great Britain) and published by . This book was released on 1921 with total page 1072 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Catalogue of Scientific Papers (1800-1900): ser. 4 , 1884-1900

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Publisher :
ISBN 13 :
Total Pages : 1072 pages
Book Rating : 4.:/5 (32 download)

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Book Synopsis Catalogue of Scientific Papers (1800-1900): ser. 4 , 1884-1900 by : Royal Society (Great Britain)

Download or read book Catalogue of Scientific Papers (1800-1900): ser. 4 , 1884-1900 written by Royal Society (Great Britain) and published by . This book was released on 1921 with total page 1072 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fourier Analysis and Approximation

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Publisher : Academic Press
ISBN 13 : 0080873537
Total Pages : 573 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Fourier Analysis and Approximation by :

Download or read book Fourier Analysis and Approximation written by and published by Academic Press. This book was released on 2011-09-21 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fourier Analysis and Approximation

Fourier Analysis and Approximation

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Publisher : Birkhäuser
ISBN 13 : 3034874480
Total Pages : 565 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Fourier Analysis and Approximation by : P.L. Butzer

Download or read book Fourier Analysis and Approximation written by P.L. Butzer and published by Birkhäuser. This book was released on 2012-12-06 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the international conference on 'Harmonic Analysis and Integral Transforms', conducted by one of the authors at the Mathematical Research Institute in Oberwolfach (Black Forest) in August 1965, it was felt that there was a real need for a book on Fourier analysis stressing (i) parallel treatment of Fourier series and Fourier trans forms from a transform point of view, (ii) treatment of Fourier transforms in LP(lRn)_ space not only for p = 1 and p = 2, (iii) classical solution of partial differential equations with completely rigorous proofs, (iv) theory of singular integrals of convolu tion type, (v) applications to approximation theory including saturation theory, (vi) multiplier theory, (vii) Hilbert transforms, Riesz fractional integrals, Bessel potentials, (viii) Fourier transform methods on locally compact groups. This study aims to consider these aspects, presenting a systematic treatment of Fourier analysis on the circle as well as on the infinite line, and of those areas of approximation theory which are in some way or other related thereto. A second volume is in preparation which goes beyond the one-dimensional theory presented here to cover the subject for functions of several variables. Approximately a half of this first volume deals with the theories of Fourier series and of Fourier integrals from a transform point of view.

Delay Equations, Approximation and Application

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Publisher : Birkhäuser
ISBN 13 : 303487376X
Total Pages : 351 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Delay Equations, Approximation and Application by : MEINARDUS

Download or read book Delay Equations, Approximation and Application written by MEINARDUS and published by Birkhäuser. This book was released on 2013-03-08 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: The international symposium held in October 1984 at the Uni versity of Mannheim was the first with the special aim to expose the connection of the Theory of Delay Eauations and Approximation Theory with the emphasis on constructive methods and applications. Although the separate character of both domains is reflected by their historical development, the latest research shows that the numerical treatment of Delay Equations leads to various appro ximation and optimization problems. An introductory survey of this circle of problems written by the editors is included at the beginning of the book. Delay Equations have their origin in domains of applications, such as physics, engineering, biology, medicine and economics. They appear in connection with the fundamental problem to analyse a retarded process from the real world, to develop a corresponding mathematical model and to determine the future behavior. Thirty mathematicians attended the conference coming from Germany, West- and Eastern Europe and the United States- more than twenty of them presented a research talk. The lectures about Delay Equations were mainly oriented on the following subjects: single-step, multi-step and spline methods; monotonicity methods for error estimations; asymptotic behavior 10 and periodicity of solutions. The topics of the talks on Approxi mation Theory covered different aspects of approximation by poly nomials, splines and rational functions and their numerical rea lization. Additionally included in the scientific program was a special session on Open Problems, where several suggestions were made for further research concerning both fields.

Attractors, Shadowing, And Approximation Of Abstract Semilinear Differential Equations

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Publisher : World Scientific
ISBN 13 : 9811272794
Total Pages : 213 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Attractors, Shadowing, And Approximation Of Abstract Semilinear Differential Equations by : Sergey I Piskarev

Download or read book Attractors, Shadowing, And Approximation Of Abstract Semilinear Differential Equations written by Sergey I Piskarev and published by World Scientific. This book was released on 2023-07-05 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to some branches of the theory of approximation of abstract differential equations, namely, approximation of attractors in the case of hyperbolic equilibrium points, shadowing, and approximation of time-fractional semilinear problems.In this book, the most famous methods of several urgent branches of the theory of abstract differential equations scattered in numerous journal publications are systematized and collected together, which makes it convenient for the initial study of the subject and also for its use as a reference book. The presentation of the material is closed and accompanied by examples; this makes it easier to understand the material and helps beginners to quickly enter into the circle of ideas discussed.The book can be useful for specialists in partial differential equations, functional analysis, theory of approximation of differential equations, and for all researchers, students, and postgraduates who apply these branches of mathematics in their work.

Classification and Examples of Differential Equations and their Applications

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Publisher : CRC Press
ISBN 13 : 0429593864
Total Pages : 268 pages
Book Rating : 4.4/5 (295 download)

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Book Synopsis Classification and Examples of Differential Equations and their Applications by : Luis Manuel Braga da Costa Campos

Download or read book Classification and Examples of Differential Equations and their Applications written by Luis Manuel Braga da Costa Campos and published by CRC Press. This book was released on 2019-11-05 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classification and Examples of Differential Equations and their Applications is the sixth book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set, they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology. This sixth book consists of one chapter (chapter 10 of the set). It contains 20 examples related to the preceding five books and chapters 1 to 9 of the set. It includes two recollections: the first with a classification of differential equations into 500 standards and the second with a list of 500 applications. The ordinary differential equations are classified in 500 standards concerning methods of solution and related properties, including: (i) linear differential equations with constant or homogeneous coefficients and finite difference equations; (ii) linear and non-linear single differential equations and simultaneous systems; (iii) existence, unicity and other properties; (iv) derivation of general, particular, special, analytic, regular, irregular, and normal integrals; (v) linear differential equations with variable coefficients including known and new special functions. The theory of differential equations is applied to the detailed solution of 500 physical and engineering problems including: (i) one- and multidimensional oscillators, with damping or amplification, with non-resonant or resonant forcing; (ii) single, non-linear, and parametric resonance; (iii) bifurcations and chaotic dynamical systems; (iv) longitudinal and transversal deformations and buckling of bars, beams, and plates; (v) trajectories of particles; (vi) oscillations and waves in non-uniform media, ducts, and wave guides. Provides detailed solution of examples of differential equations of the types covered in tomes l-5 of the set (Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six -volume Set) Includes physical and engineering problems that extend those presented in the tomes 1-6 (Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set) Includes a classification of ordinary differential equations and their properties into 500 standards that can serve as a look-up table of methods of solution Covers a recollection of 500 physical and engineering problems and sub-cases that involve the solution of differential equations Presents the problems used as examples including formulation, solution, and interpretation of results

Adaptive Algorithms and Stochastic Approximations

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Publisher : Springer Science & Business Media
ISBN 13 : 3642758940
Total Pages : 373 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Adaptive Algorithms and Stochastic Approximations by : Albert Benveniste

Download or read book Adaptive Algorithms and Stochastic Approximations written by Albert Benveniste and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: Adaptive systems are widely encountered in many applications ranging through adaptive filtering and more generally adaptive signal processing, systems identification and adaptive control, to pattern recognition and machine intelligence: adaptation is now recognised as keystone of "intelligence" within computerised systems. These diverse areas echo the classes of models which conveniently describe each corresponding system. Thus although there can hardly be a "general theory of adaptive systems" encompassing both the modelling task and the design of the adaptation procedure, nevertheless, these diverse issues have a major common component: namely the use of adaptive algorithms, also known as stochastic approximations in the mathematical statistics literature, that is to say the adaptation procedure (once all modelling problems have been resolved). The juxtaposition of these two expressions in the title reflects the ambition of the authors to produce a reference work, both for engineers who use these adaptive algorithms and for probabilists or statisticians who would like to study stochastic approximations in terms of problems arising from real applications. Hence the book is organised in two parts, the first one user-oriented, and the second providing the mathematical foundations to support the practice described in the first part. The book covers the topcis of convergence, convergence rate, permanent adaptation and tracking, change detection, and is illustrated by various realistic applications originating from these areas of applications.

Variational Methods for Eigenvalue Approximation

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Publisher : SIAM
ISBN 13 : 089871012X
Total Pages : 163 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Variational Methods for Eigenvalue Approximation by : H. F. Weinberger

Download or read book Variational Methods for Eigenvalue Approximation written by H. F. Weinberger and published by SIAM. This book was released on 1974-01-01 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a common setting for various methods of bounding the eigenvalues of a self-adjoint linear operator and emphasizes their relationships. A mapping principle is presented to connect many of the methods. The eigenvalue problems studied are linear, and linearization is shown to give important information about nonlinear problems. Linear vector spaces and their properties are used to uniformly describe the eigenvalue problems presented that involve matrices, ordinary or partial differential operators, and integro-differential operators.

Catalogue of Scientific Papers (1800-1900): Supplementary volume. 1800-1883

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Publisher :
ISBN 13 :
Total Pages : 1078 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Catalogue of Scientific Papers (1800-1900): Supplementary volume. 1800-1883 by : Royal Society (Great Britain)

Download or read book Catalogue of Scientific Papers (1800-1900): Supplementary volume. 1800-1883 written by Royal Society (Great Britain) and published by . This book was released on 1921 with total page 1078 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Functional Analysis, Holomorphy and Approximation Theory

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Publisher : Elsevier
ISBN 13 : 0080871828
Total Pages : 495 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Functional Analysis, Holomorphy and Approximation Theory by : J.A. Barroso

Download or read book Functional Analysis, Holomorphy and Approximation Theory written by J.A. Barroso and published by Elsevier. This book was released on 2011-08-30 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functional Analysis, Holomorphy and Approximation Theory

Numerical Approximation of Partial Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 3540852689
Total Pages : 551 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Numerical Approximation of Partial Differential Equations by : Alfio Quarteroni

Download or read book Numerical Approximation of Partial Differential Equations written by Alfio Quarteroni and published by Springer Science & Business Media. This book was released on 2009-02-11 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: Everything is more simple than one thinks but at the same time more complex than one can understand Johann Wolfgang von Goethe To reach the point that is unknown to you, you must take the road that is unknown to you St. John of the Cross This is a book on the numerical approximation ofpartial differential equations (PDEs). Its scope is to provide a thorough illustration of numerical methods (especially those stemming from the variational formulation of PDEs), carry out their stability and convergence analysis, derive error bounds, and discuss the algorithmic aspects relative to their implementation. A sound balancing of theoretical analysis, description of algorithms and discussion of applications is our primary concern. Many kinds of problems are addressed: linear and nonlinear, steady and time-dependent, having either smooth or non-smooth solutions. Besides model equations, we consider a number of (initial-) boundary value problems of interest in several fields of applications. Part I is devoted to the description and analysis of general numerical methods for the discretization of partial differential equations. A comprehensive theory of Galerkin methods and its variants (Petrov Galerkin and generalized Galerkin), as wellas ofcollocationmethods, is devel oped for the spatial discretization. This theory is then specified to two numer ical subspace realizations of remarkable interest: the finite element method (conforming, non-conforming, mixed, hybrid) and the spectral method (Leg endre and Chebyshev expansion).

An Introduction to Scientific Computing

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Publisher : Springer Science & Business Media
ISBN 13 : 0387491597
Total Pages : 303 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis An Introduction to Scientific Computing by : Ionut Danaila

Download or read book An Introduction to Scientific Computing written by Ionut Danaila and published by Springer Science & Business Media. This book was released on 2007-12-03 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book demonstrates scientific computing by presenting twelve computational projects in several disciplines including Fluid Mechanics, Thermal Science, Computer Aided Design, Signal Processing and more. Each follows typical steps of scientific computing, from physical and mathematical description, to numerical formulation and programming and critical discussion of results. The text teaches practical methods not usually available in basic textbooks: numerical checking of accuracy, choice of boundary conditions, effective solving of linear systems, comparison to exact solutions and more. The final section of each project contains the solutions to proposed exercises and guides the reader in using the MATLAB scripts available online.

Complex Analysis, Functional Analysis and Approximation Theory

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Publisher : Elsevier
ISBN 13 : 0080872360
Total Pages : 307 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Complex Analysis, Functional Analysis and Approximation Theory by : J. Mujica

Download or read book Complex Analysis, Functional Analysis and Approximation Theory written by J. Mujica and published by Elsevier. This book was released on 1986-05-01 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume contains papers of research of expository nature, and is addressed to research workers and advanced graduate students in mathematics. Some of the papers are the written and expanded texts of lectures delivered at the conference, whereas others have been included by invitation.