Giaquinta M Mathematical Analysis Approximation and Discrete Processes 2004 | 20.81 MB
N/A | 399 Pages

Title: Osmo - Genius Starter Kit for iPad - 5 Educational Learning GameAges 6-10 - Math, Spelling, Creativity & MorSTEM Toy Gifts for Kids, Boy & GirAges 6 7 8 9 10 (Osmo iPad Base Included)
Author: N/A
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Approximation Theorems of Mathematical Statistics by Robert J. Serfling
English | PDF | 1980 | 381 Pages | ISBN : 0471024031 | 21.1 MB
Approximation Theorems of Mathematical Statistics

Anastassiou G Ordinary and Fractional Approximation 2019 | 1.81 MB
N/A | 355 Pages

Title: 475768_Print.indd
Author: N/A
Year: N/A

Reza N. Jazar, "Approximation Methods in Science and Engineering"
English | 2020 | pages: 544 | ISBN: 1071604783 | PDF | 7,1 mb
Approximation Methods in Engineering and Science covers fundamental and advanced topics in three areas: Dimensional Analysis, Continued Fractions, and Stability Analysis of the Mathieu Differential Equation. Throughout the book, a strong emphasis is given to concepts and methods used in everyday calculations. Dimensional analysis is a crucial need for every engineer and scientist to be able to do experiments on scaled models and use the results in real world applications. Knowing that most nonlinear equations have no analytic solution, the power series solution is assumed to be the first approach to derive an approximate solution. However, this book will show the advantages of continued fractions and provides a systematic method to develop better approximate solutions in continued fractions. It also shows the importance of determining stability chart of the Mathieu equation and reviews and compares several approximate methods for that. The book provides the energy-rate method to study the stability of parametric differential equations that generates much better approximate solutions.

Achieser N Theory of Approximation 1992 | 11.96 MB
English | 319 Pages

Title: Theory of Approximation (Dover Books on Mathematics)
Author: N. I. Achieser
Year: 2013

Analysis II: Convex Analysis and Approximation Theory by R. V. Gamkrelidze
English | PDF | 1990 | 262 Pages | ISBN : 3642647685 | 30.1 MB
Intended for a wide range of readers, this book covers the main ideas of convex analysis and approximation theory. The author discusses the sources of these two trends in mathematical analysis, develops the main concepts and results, and mentions some beautiful theorems. The relationship of convex analysis to optimization problems, to the calculus of variations, to optimal control and to geometry is considered, and the evolution of the ideas underlying approximation theory, from its origins to the present day, is discussed. The book is addressed both to students who want to acquaint themselves with these trends and to lecturers in mathematical analysis, optimization and numerical methods, as well as to researchers in these fields who would like to tackle the topic as a whole and seek inspiration for its further development.

Lattice Rules: Numerical Integration, Approximation, and Discrepancy
English | 2022 | ISBN: 3031099508 | 584 Pages | PDF (True) | 7 MB
Lattice rules are a powerful and popular form of quasi-Monte Carlo rules based on multidimensional integration lattices. This book provides a comprehensive treatment of the subject with detailed explanations of the basic concepts and the current methods used in research. This comprises, for example, error analysis in reproducing kernel Hilbert spaces, fast component-by-component constructions, the curse of dimensionality and tractability, weighted integration and approximation problems, and applications of lattice rules.

George A. Anastassiou, Sorin G. Gal, "Approximation Theory: Moduli of Continuity and Global Smoothness Preservation"
English | 2000 | pages: 538 | ISBN: 1461271126, 0817641513 | DJVU | 3,0 mb
We study in Part I of this monograph the computational aspect of almost all moduli of continuity over wide classes of functions exploiting some of their convexity properties. To our knowledge it is the first time the entire calculus of moduli of smoothness has been included in a book. We then present numerous applications of Approximation Theory, giving exact val ues of errors in explicit forms. The K-functional method is systematically avoided since it produces nonexplicit constants. All other related books so far have allocated very little space to the computational aspect of moduli of smoothness. In Part II, we study/examine the Global Smoothness Preservation Prop erty (GSPP) for almost all known linear approximation operators of ap proximation theory including: trigonometric operators and algebraic in terpolation operators of Lagrange, Hermite-Fejer and Shepard type, also operators of stochastic type, convolution type, wavelet type integral opera tors and singular integral operators, etc. We present also a sufficient general theory for GSPP to hold true. We provide a great variety of applications of GSPP to Approximation Theory and many other fields of mathemat ics such as Functional analysis, and outside of mathematics, fields such as computer-aided geometric design (CAGD). Most of the time GSPP meth ods are optimal. Various moduli of smoothness are intensively involved in Part II. Therefore, methods from Part I can be used to calculate exactly the error of global smoothness preservation. It is the first time in the literature that a book has studied GSPP.

Numerical Approximation of Hyperbolic Systems of Conservation Laws
English | 2021 | ISBN: 1071613421 | 846 Pages | PDF EPUB | 48 MB
This monograph is devoted to the theory and approximation by finite volume methods of nonlinear hyperbolic systems of conservation laws in one or two space variables. It follows directly a previous publication on hyperbolic systems of conservation laws by the same authors. Since the earlier work concentrated on the mathematical theory of multidimensional scalar conservation laws, this book will focus on systems and the theoretical aspects which are needed in the applications, such as the solution of the Riemann problem and further insights into more sophisticated problems, with special attention to the system of gas dynamics. This new edition includes more examples such as MHD and shallow water, with an insight on multiphase flows. Additionally, the text includes source terms and well-balanced/asymptotic preserving schemes, introducing relaxation schemes and addressing problems related to resonance and discontinuous fluxes while adding details on the low Mach number situation.

Weighted Polynomial Approximation and Numerical Methods for Integral Equations
English | 2021 | ISBN: 3030774961 | 662 Pages | PDF EPUB | 58 MB
The book presents a combination of two topics: one coming from the theory of approximation of functions and integrals by interpolation and quadrature, respectively, and the other from the numerical analysis of operator equations, in particular, of integral and related equations.