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Mathematical analysis: a concise introduction, Yong, Jiongmin (univ Of Central Florida, Usa)


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Автор: Yong, Jiongmin (univ Of Central Florida, Usa)
Название:  Mathematical analysis: a concise introduction
ISBN: 9789811221637
Издательство: World Scientific Publishing
Классификация:

ISBN-10: 9811221634
Обложка/Формат: Hardback
Страницы: 276
Вес: 0.54 кг.
Дата издания: 14.01.2021
Серия: Mathematics
Язык: English
Размер: 22.86 x 15.24 x 3.18 cm
Читательская аудитория: Tertiary education (us: college)
Ключевые слова: Real analysis, real variables, MATHEMATICS / General,MATHEMATICS / Mathematical Analysis,MATHEMATICS / Numerical Analysis
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Поставляется из: Англии
Описание:

Mathematical analysis serves as a common foundation for many research areas of pure and applied mathematics. It is also an important and powerful tool used in many other fields of science, including physics, chemistry, biology, engineering, finance, and economics. In this book, some basic theories of analysis are presented, including metric spaces and their properties, limit of sequences, continuous function, differentiation, Riemann integral, uniform convergence, and series.


After going through a sequence of courses on basic calculus and linear algebra, it is desirable for one to spend a reasonable length of time (ideally, say, one semester) to build an advanced base of analysis sufficient for getting into various research fields other than analysis itself, and/or stepping into more advanced levels of analysis courses (such as real analysis, complex analysis, differential equations, functional analysis, stochastic analysis, amongst others). This book is written to meet such a demand. Readers will find the treatment of the material is as concise as possible, but still maintaining all the necessary details.




Mathematical Analysis / An Introduction

Автор: Browder Andrew
Название: Mathematical Analysis / An Introduction
ISBN: 0387946144 ISBN-13(EAN): 9780387946146
Издательство: Springer
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Цена: 6345.00 р.
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Описание: This is a textbook containing more than enough material for a year-long course in analysis at the advanced undergraduate or beginning graduate level.The book begins with a brief discussion of sets and mappings, describes the real number field, and proceeds to a treatment of real-valued functions of a real variable. Separate chapters are devoted to the ideas of convergent sequences and series, continuous functions, differentiation, and the Riemann integral. The middle chapters cover general topology and a miscellany of applications: the Weierstrass and Stone-Weierstrass approximation theorems, the existence of geodesics in compact metric spaces, elements of Fourier analysis, and the Weyl equidistribution theorem. Next comes a discussion of differentiation of vector-valued functions of several real variables, followed by a brief treatment of measure and integration (in a general setting, but with emphasis on Lebesgue theory in Euclidean space). The final part of the book deals with manifolds, differential forms, and Stokes' theorem, which is applied to prove Brouwer's fixed point theorem and to derive the basic properties of harmonic functions, such as the Dirichlet principle.

Mathematical Analysis - A Concise Introduction

Автор: Schroder
Название: Mathematical Analysis - A Concise Introduction
ISBN: 0470107960 ISBN-13(EAN): 9780470107966
Издательство: Wiley
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Цена: 16782.00 р.
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Описание: A self-contained introduction to the fundamentals of mathematical analysis Mathematical Analysis: A Concise Introduction presents the foundations of analysis and illustrates its role in mathematics.

Introduction to Differential Equations

Автор: Ladde Anil G.
Название: Introduction to Differential Equations
ISBN: 9814390062 ISBN-13(EAN): 9789814390064
Издательство: World Scientific Publishing
Цена: 20750.00 р.
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Описание: Stochastic calculus and stochastic differential equations have played a major role in analyzing the dynamic phenomena in the biological and physical sciences, as well as engineering. This title deals with this topic.

Introduction to Differential Equations

Автор: Lade Anil G
Название: Introduction to Differential Equations
ISBN: 9814390070 ISBN-13(EAN): 9789814390071
Издательство: World Scientific Publishing
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Цена: 10296.00 р.
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Описание: Stochastic calculus and stochastic differential equations have played a major role in analyzing the dynamic phenomena in the biological and physical sciences, as well as engineering. This title deals with this topic.

Weighing the odds

Автор: David Williams
Название: Weighing the odds
ISBN: 052100618X ISBN-13(EAN): 9780521006187
Издательство: Cambridge Academ
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Цена: 11880.00 р.
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Описание: A lively book enriched with examples drawn from all manner of applications. Statistics chapters present both the Frequentist and Bayesian approaches, emphasising Confidence Intervals rather than Hypothesis Tests. C or WinBUGS code is provided for computational examples and simulations. Many exercises are included; hints or solutions are often provided.

Introduction to the Fractional Calculus of Variations

Автор: Torres Delfim F. M.
Название: Introduction to the Fractional Calculus of Variations
ISBN: 1848169663 ISBN-13(EAN): 9781848169661
Издательство: World Scientific Publishing
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Цена: 10454.00 р.
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Описание: Suitable for graduate students and ambitious undergraduates in mathematics and mechanics, this title offers an introduction to the subject of Fractional Calculus of Variations (FCV). It describes non-conservative systems in mechanics.

An Introduction to Computational Stochastic PDEs

Автор: Lord
Название: An Introduction to Computational Stochastic PDEs
ISBN: 0521899907 ISBN-13(EAN): 9780521899901
Издательство: Cambridge Academ
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Цена: 18216.00 р.
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Описание: This comprehensive introduction to stochastic partial differential equations incorporates the effects of randomness into real-world models, offering graduate students and researchers powerful tools for understanding uncertainty quantification for risk analysis. MATLAB (R) codes are included, so that readers can perform computations themselves and solve the test problems discussed.

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.
Наличие на складе: Нет в наличии.

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.

Measure and Integration - A Concise Introduction to Real Analysis

Автор: Richardson
Название: Measure and Integration - A Concise Introduction to Real Analysis
ISBN: 047025954X ISBN-13(EAN): 9780470259542
Издательство: Wiley
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Цена: 15990.00 р.
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Описание: A uniquely accessible book for general measure and integration, emphasizing the real line, Euclidean space, and the underlying role of translation in real analysis Measure and Integration: A Concise Introduction to Real Analysis presents the basic concepts and methods that are important for successfully reading and understanding proofs.

Functional Analysis: A Terse Introduction

Автор: Gerard Chacon, Humberto Rafeiro, Juan Camilo Vallejo
Название: Functional Analysis: A Terse Introduction
ISBN: 3110441918 ISBN-13(EAN): 9783110441918
Издательство: Walter de Gruyter
Цена: 9288.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This textbook on functional analysis offers a short and concise introduction to the subject. The book is designed in such a way as to provide a smooth transition between elementary and advanced topics and its modular structure allows for an easy assimilation of the content. Starting from a dedicated chapter on the axiom of choice, subsequent chapters cover Hilbert spaces, linear operators, functionals and duality, Fourier series, Fourier transform, the fixed point theorem, Baire categories, the uniform bounded principle, the open mapping theorem, the closed graph theorem, the Hahn-Banach theorem, adjoint operators, weak topologies and reflexivity, operators in Hilbert spaces, spectral theory of operators in Hilbert spaces, and compactness. Each chapter ends with workable problems.The book is suitable for graduate students, but also for advanced undergraduates, in mathematics and physics. Contents: List of FiguresBasic NotationChoice PrinciplesHilbert SpacesCompleteness, Completion and DimensionLinear OperatorsFunctionals and Dual SpacesFourier SeriesFourier TransformFixed Point TheoremBaire Category TheoremUniform Boundedness PrincipleOpen Mapping TheoremClosed Graph TheoremHahn-Banach TheoremThe Adjoint OperatorWeak Topologies and ReflexivityOperators in Hilbert SpacesSpectral Theory of Operators on Hilbert SpacesCompactnessBibliographyIndex

An Introduction to Categorical Data Analysis, 3rd Edition

Автор: Agresti, Alan,
Название: An Introduction to Categorical Data Analysis, 3rd Edition
ISBN: 1119405262 ISBN-13(EAN): 9781119405269
Издательство: Wiley
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Цена: 19317.00 р.
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Описание:

A valuable new edition of a standard reference

The use of statistical methods for categorical data has increased dramatically, particularly for applications in the biomedical and social sciences. An Introduction to Categorical Data Analysis, Third Edition summarizes these methods and shows readers how to use them using software. Readers will find a unified generalized linear models approach that connects logistic regression and loglinear models for discrete data with normal regression for continuous data.

Adding to the value in the new edition is:

- Illustrations of the use of R software to perform all the analyses in the book

- A new chapter on alternative methods for categorical data, including smoothing and regularization methods (such as the lasso), classification methods such as linear discriminant analysis and classification trees, and cluster analysis

- New sections in many chapters introducing the Bayesian approach for the methods of that chapter

- More than 70 analyses of data sets to illustrate application of the methods, and about 200 exercises, many containing other data sets

- An appendix showing how to use SAS, Stata, and SPSS, and an appendix with short solutions to most odd-numbered exercises

Written in an applied, nontechnical style, this book illustrates the methods using a wide variety of real data, including medical clinical trials, environmental questions, drug use by teenagers, horseshoe crab mating, basketball shooting, correlates of happiness, and much more.

An Introduction to Categorical Data Analysis, Third Edition is an invaluable tool for statisticians and biostatisticians as well as methodologists in the social and behavioral sciences, medicine and public health, marketing, education, and the biological and agricultural sciences.

The Student`s Introduction to Mathematica and the Wolfram Language

Автор: Bruce F. Torrence, Eve A. Torrence
Название: The Student`s Introduction to Mathematica and the Wolfram Language
ISBN: 110840636X ISBN-13(EAN): 9781108406369
Издательство: Cambridge Academ
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Цена: 7762.00 р.
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Описание: This book introduces Mathematica (R) and the Wolfram Language (TM) in the context of the standard university mathematics curriculum. It equips current and former students to harness these tools to explore ideas from pre-calculus, calculus, and linear algebra. Additional chapters on programming and 3D printing provide outlets for further exploration.


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