Sets, Mappings and Sequences. Functions and Limits

Sets, Mappings and Sequences. Functions and Limits PDF Author:
Publisher:
ISBN:
Category : Functions
Languages : en
Pages : 52

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Sets, Mappings and Sequences. Functions and Limits

Sets, Mappings and Sequences. Functions and Limits PDF Author:
Publisher:
ISBN:
Category : Functions
Languages : en
Pages : 52

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Book Description


Sets, Mappings and Sequences; [and] Functions and Limits

Sets, Mappings and Sequences; [and] Functions and Limits PDF Author:
Publisher:
ISBN:
Category : Functions
Languages : en
Pages :

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Sets, Sequences and Mappings

Sets, Sequences and Mappings PDF Author: Kenneth Anderson
Publisher: Courier Corporation
ISBN: 0486158128
Category : Mathematics
Languages : en
Pages : 210

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Book Description
This text bridges the gap between beginning and advanced calculus. It offers a systematic development of the real number system and careful treatment of mappings, sequences, limits, continuity, and metric spaces. 1963 edition.

Sets, Mappings and Sequences

Sets, Mappings and Sequences PDF Author: Open University
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Mathematical Foundations of Computational Engineering

Mathematical Foundations of Computational Engineering PDF Author: Peter J. Pahl
Publisher: Springer Science & Business Media
ISBN: 3642568939
Category : Technology & Engineering
Languages : en
Pages : 1022

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Book Description
Computational engineering is the treatment of engineering tasks with computers. It is based on computational mathematics, which is presented here in a comprehensive handbook. From the existing rich repertoire of mathematical theories and methods, the fundamentals of engineering computation are here presented in a coherent fashion. They are brought into a suitable order for specific engineering purposes, and their significance for typical applications shown. The relevant definitions, notations and theories are presented in a durable form which is independent of the fast development of information and communication technology.

The Open University

The Open University PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :

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An Introduction to Inverse Limits with Set-valued Functions

An Introduction to Inverse Limits with Set-valued Functions PDF Author: W.T. Ingram
Publisher: Springer Science & Business Media
ISBN: 146144487X
Category : Mathematics
Languages : en
Pages : 93

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Book Description
Inverse limits with set-valued functions are quickly becoming a popular topic of research due to their potential applications in dynamical systems and economics. This brief provides a concise introduction dedicated specifically to such inverse limits. The theory is presented along with detailed examples which form the distinguishing feature of this work. The major differences between the theory of inverse limits with mappings and the theory with set-valued functions are featured prominently in this book in a positive light. The reader is assumed to have taken a senior level course in analysis and a basic course in topology. Advanced undergraduate and graduate students, and researchers working in this area will find this brief useful. ​

Mathematical Analysis

Mathematical Analysis PDF Author: Elias Zakon
Publisher: The Trillia Group
ISBN: 193170502X
Category : Mathematics
Languages : en
Pages : 367

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Stochastic Limit Theory

Stochastic Limit Theory PDF Author: James Davidson
Publisher: OUP Oxford
ISBN: 0191525049
Category : Business & Economics
Languages : en
Pages : 566

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Book Description
This is a survey of the recent developments in the rapidly expanding field of asymptotic distribution theory, with a special emphasis on the problems of time dependence and heterogeneity. The book is designed to be useful on two levels. First as a textbook and reference work, giving definitions of the relevant mathematical concepts, statements, and proofs of the important results from the probability literature, and numerous examples; and second, as an account of recent work in the field of particular interest to econometricians, including a number of important new results. It is virtually self-contained, with all but the most basic technical prerequisites being explained in their context; mathematical topics include measure theory, integration, metric spaces, and topology, with applications to random variables, and an extended treatment of conditional probability. Other subjects treated include: stochastic processes, mixing processes, martingales, mixingales, and near-epoch dependence; the weak and strong laws of large numbers; weak convergence; and central limit theorems for nonstationary and dependent processes. The functional central limit theorem and its ramifications are covered in detail, including an account of the theoretical underpinnings (the weak convergence of measures on metric spaces), Brownian motion, the multivariate invariance principle, and convergence to stochastic integrals. This material is of special relevance to the theory of cointegration.

Implicit Functions and Solution Mappings

Implicit Functions and Solution Mappings PDF Author: Asen L. Dontchev
Publisher: Springer
ISBN: 149391037X
Category : Mathematics
Languages : en
Pages : 495

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Book Description
The implicit function theorem is one of the most important theorems in analysis and its many variants are basic tools in partial differential equations and numerical analysis. This second edition of Implicit Functions and Solution Mappings presents an updated and more complete picture of the field by including solutions of problems that have been solved since the first edition was published, and places old and new results in a broader perspective. The purpose of this self-contained work is to provide a reference on the topic and to provide a unified collection of a number of results which are currently scattered throughout the literature. Updates to this edition include new sections in almost all chapters, new exercises and examples, updated commentaries to chapters and an enlarged index and references section.