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Amazing and Aesthetic Aspects of Analysis, Loya Paul


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Автор: Loya Paul
Название:  Amazing and Aesthetic Aspects of Analysis
ISBN: 9781493992454
Издательство: Springer
Классификация:

ISBN-10: 1493992457
Обложка/Формат: Paperback
Страницы: 722
Вес: 1.02 кг.
Дата издания: 25.07.2019
Язык: English
Издание: Softcover reprint of
Иллюстрации: 122 illustrations, black and white; xv, 722 p. 122 illus.
Размер: 23.39 x 15.60 x 3.76 cm
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Preface.- Some of the most beautiful formul in the world.- Part 1. Some standard curriculum.- 1. Very naive set theory, functions, and proofs.- 2. Numbers, numbers, and more numbers.- 3. Infinite sequences of real and complex numbers.- 4. Limits, continuity, and elementary functions.- 5. Some of the most beautiful formul in the world I-III.- Part 2. Extracurricular activities.- 6. Advanced theory of infinite series.- 7. More on the infinite: Products and partial fractions.- 8. Infinite continued fractions.- Bibliography.- Index​.


Theoretical Foundations of Functional Data Analysis, with an

Автор: Hsing Tailen
Название: Theoretical Foundations of Functional Data Analysis, with an
ISBN: 0470016914 ISBN-13(EAN): 9780470016916
Издательство: Wiley
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Цена: 10446.00 р.
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Описание: ?? Provides a concise but rigorous account of the theoretical background of FDA. ?? Introduces topics in various areas of mathematics, probability and statistics from the perspective of FDA. ?? Presents a systematic exposition of the fundamental statistical issues in FDA.

Geometric Aspects of Functional Analysis

Автор: Bo`az Klartag; Emanuel Milman
Название: Geometric Aspects of Functional Analysis
ISBN: 3319094769 ISBN-13(EAN): 9783319094762
Издательство: Springer
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Цена: 9781.00 р.
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Описание: As in the previous Seminar Notes, the current volume reflects general trends in the study of Geometric Aspects of Functional Analysis.

Approximation Theory and Approximation Practice: Extended Edition

Автор: Lloyd N. Trefethen
Название: Approximation Theory and Approximation Practice: Extended Edition
ISBN: 161197593X ISBN-13(EAN): 9781611975932
Издательство: Mare Nostrum (Eurospan)
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Цена: 9148.00 р.
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Описание: This is a textbook on classical polynomial and rational approximation theory for the twenty-first century. Aimed at advanced undergraduates and graduate students across all of applied mathematics, it uses MATLAB to teach the field’s most important ideas and results.

Approximation Theory and Approximation Practice, Extended Edition differs fundamentally from other works on approximation theory in a number of ways: its emphasis is on topics close to numerical algorithms; concepts are illustrated with Chebfun; and each chapter is a PUBLISHable MATLAB M-file, available online.

The book centers on theorems and methods for analytic functions, which appear so often in applications, rather than on functions at the edge of discontinuity with their seductive theoretical challenges. Original sources are cited rather than textbooks, and each item in the bibliography is accompanied by an editorial comment. In addition, each chapter has a collection of exercises, which span a wide range from mathematical theory to Chebfun-based numerical experimentation.

Metrical and Dynamical Aspects in Complex Analysis

Автор: L?a Blanc-Centi
Название: Metrical and Dynamical Aspects in Complex Analysis
ISBN: 3319658360 ISBN-13(EAN): 9783319658360
Издательство: Springer
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Цена: 4890.00 р.
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Описание: The central theme of this reference book is the metric geometry of complex analysis in several variables.

Categorical Aspects of Topology and Analysis

Автор: B. Banaschewski
Название: Categorical Aspects of Topology and Analysis
ISBN: 3540112111 ISBN-13(EAN): 9783540112112
Издательство: Springer
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Цена: 4884.00 р.
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Geometric Aspects of Functional Analysis

Автор: Joram Lindenstrauss; Vitali Milman
Название: Geometric Aspects of Functional Analysis
ISBN: 3034899025 ISBN-13(EAN): 9783034899024
Издательство: Springer
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Цена: 14673.00 р.
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Описание: This is the sixth published volume of the Israel Seminar on Geometric Aspects of Functional Analysis. The previous volumes are 1983-84 published privately by Tel Aviv University 1985-86 Springer Lecture Notes, Vol. 1267 1986-87 Springer Lecture Notes, Vol. 1317 1987-88 Springer Lecture Notes, Vol. 1376 1989-90 Springer Lecture Notes, Vol. 1469 As in the previous vC!lumes the central subject of -this volume is Banach space theory in its various aspects. In view of the spectacular development in infinite-dimensional Banach space theory in recent years (like the solution of the hyperplane problem, the unconditional basic sequence problem and the distortion problem in Hilbert space) it is quite natural that the present volume contains substantially more contributions in this direction than the previous volumes. This volume also contains many important contributions in the "traditional directions" of this seminar such as probabilistic methods in functional analysis, non-linear theory, harmonic analysis and especially the local theory of Banach spaces and its connection to classical convexity theory in IRn. The papers in this volume are original research papers and include an invited survey by Alexander Olevskii of Kolmogorov's work on Fourier analysis (which was presented at a special meeting on the occasion of the 90th birthday of A. N. Kol- mogorov). We are very grateful to Mrs. M. Hercberg for her generous help in many directions, which made the publication of this volume possible. Joram Lindenstrauss, Vitali Milman 1992-1994 Operator Theory: Advances and Applications, Vol.

Aspects of Boundary Problems in Analysis and Geometry

Автор: Juan Gil; Thomas Krainer; Ingo Witt
Название: Aspects of Boundary Problems in Analysis and Geometry
ISBN: 303489595X ISBN-13(EAN): 9783034895958
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Boundary problems constitute an essential field of common mathematical interest, they lie in the center of research activities both in analysis and geometry.

Finite Element Analysis: Biomedical Aspects

Автор: McGuire Connie
Название: Finite Element Analysis: Biomedical Aspects
ISBN: 1632381974 ISBN-13(EAN): 9781632381972
Издательство: Неизвестно
Цена: 20116.00 р.
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Описание: Finding approximate solutions to partial differential equations and integral equations, allowing numerical assessment of complicated structures based on their material properties is best represented by the mathematical method of Finite Element Analysis. This book presents varied topics on the utilization of Finite Elements in biomedical engineering under two sections on "Dentistry, Dental Implantology and Teeth Restoration" and "Cardiovascular and Skeletal Systems". The structure and language of the book has been so written that it is useful for graduate students learning applications of finite element and also encompasses topics and reference material useful for research and professionals who want to gain a deeper knowledge of finite element analysis.

Industrial Aspects of Finite Element Analysis

Автор: McGuire Connie
Название: Industrial Aspects of Finite Element Analysis
ISBN: 163238292X ISBN-13(EAN): 9781632382924
Издательство: Неизвестно
Цена: 17702.00 р.
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Richardson Extrapolation: Practical Aspects and Applications

Автор: Zahari Zlatev, Ivan Dimov, Istvan Farago, Agnes Havasi
Название: Richardson Extrapolation: Practical Aspects and Applications
ISBN: 3110516497 ISBN-13(EAN): 9783110516494
Издательство: Walter de Gruyter
Цена: 22305.00 р.
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Описание:

Scientists and engineers are mainly using Richardson extrapolation as a computational tool for increasing the accuracy of various numerical algorithms for the treatment of systems of ordinary and partial differential equations and for improving the computational efficiency of the solution process by the automatic variation of the time-stepsizes. A third issue, the stability of the computations, is very often the most important one and, therefore, it is the major topic studied in all chapters of this book.
Clear explanations and many examples make this text an easy-to-follow handbook for applied mathematicians, physicists and engineers working with scientific models based on differential equations.

 

Contents
The basic properties of Richardson extrapolation
Richardson extrapolation for explicit Runge-Kutta methods
Linear multistep and predictor-corrector methods
Richardson extrapolation for some implicit methods
Richardson extrapolation for splitting techniques
Richardson extrapolation for advection problems
Richardson extrapolation for some other problems
General conclusions

Local And Global Aspects Of Quasilinear Degenerate Elliptic Equations: Quasilinear Elliptic Singular Problems

Автор: Veron Laurent
Название: Local And Global Aspects Of Quasilinear Degenerate Elliptic Equations: Quasilinear Elliptic Singular Problems
ISBN: 9814730327 ISBN-13(EAN): 9789814730327
Издательство: World Scientific Publishing
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Цена: 23760.00 р.
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Описание:

This book is devoted to the study of elliptic second-order degenerate quasilinear equations, the model of which is the p-Laplacian, with or without dominant lower order reaction term. Emphasis is put on three aspects:

  • The existence of separable singular solutions enables the description of isolated singularities of general solutions. The construction of singular solutions is delicate and cannot be done without the understanding of the spherical p-harmonic eigenvalue problem.
  • When the equations are considered on a Riemannian manifold, existence or non-existence of solutions depends on geometric assumptions such as the curvature. A priori estimates and Liouville type problems are analyzed.
  • When the equations are considered with a forcing term in the class of measures, their study is strongly linked to the properties of a class of potentials appearing in harmonic analysis such as the Riesz, the Bessel or the Wolff potentials and to their associated capacities. Necessary and sufficient conditions for existence of solutions link the continuity of the measure with respect to some appropriate capacity.

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