Principles Of Analysis

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Principles of Analysis

Author : Hugo D. Junghenn
Publisher : CRC Press
ISBN 13 : 149877329X
Total Pages : 520 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Principles of Analysis by : Hugo D. Junghenn

Download or read book Principles of Analysis written by Hugo D. Junghenn and published by CRC Press. This book was released on 2018-04-27 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Principles of Analysis: Measure, Integration, Functional Analysis, and Applications prepares readers for advanced courses in analysis, probability, harmonic analysis, and applied mathematics at the doctoral level. The book also helps them prepare for qualifying exams in real analysis. It is designed so that the reader or instructor may select topics suitable to their needs. The author presents the text in a clear and straightforward manner for the readers’ benefit. At the same time, the text is a thorough and rigorous examination of the essentials of measure, integration and functional analysis. The book includes a wide variety of detailed topics and serves as a valuable reference and as an efficient and streamlined examination of advanced real analysis. The text is divided into four distinct sections: Part I develops the general theory of Lebesgue integration; Part II is organized as a course in functional analysis; Part III discusses various advanced topics, building on material covered in the previous parts; Part IV includes two appendices with proofs of the change of the variable theorem and a joint continuity theorem. Additionally, the theory of metric spaces and of general topological spaces are covered in detail in a preliminary chapter . Features: Contains direct and concise proofs with attention to detail Features a substantial variety of interesting and nontrivial examples Includes nearly 700 exercises ranging from routine to challenging with hints for the more difficult exercises Provides an eclectic set of special topics and applications About the Author: Hugo D. Junghenn is a professor of mathematics at The George Washington University. He has published numerous journal articles and is the author of several books, including Option Valuation: A First Course in Financial Mathematics and A Course in Real Analysis. His research interests include functional analysis, semigroups, and probability.

Principles of Real Analysis

Author : Charalambos D. Aliprantis
Publisher : Gulf Professional Publishing
ISBN 13 : 9780120502578
Total Pages : 434 pages
Book Rating : 4.5/5 (25 download)

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Book Synopsis Principles of Real Analysis by : Charalambos D. Aliprantis

Download or read book Principles of Real Analysis written by Charalambos D. Aliprantis and published by Gulf Professional Publishing. This book was released on 1998-08-26 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new, Third Edition of this successful text covers the basic theory of integration in a clear, well-organized manner. The authors present an imaginative and highly practical synthesis of the "Daniell method" and the measure theoretic approach. It is the ideal text for undergraduate and first-year graduate courses in real analysis. This edition offers a new chapter on Hilbert Spaces and integrates over 150 new exercises. New and varied examples are included for each chapter. Students will be challenged by the more than 600 exercises. Topics are treated rigorously, illustrated by examples, and offer a clear connection between real and functional analysis. This text can be used in combination with the authors' Problems in Real Analysis, 2nd Edition, also published by Academic Press, which offers complete solutions to all exercises in the Principles text. Key Features: * Gives a unique presentation of integration theory * Over 150 new exercises integrated throughout the text * Presents a new chapter on Hilbert Spaces * Provides a rigorous introduction to measure theory * Illustrated with new and varied examples in each chapter * Introduces topological ideas in a friendly manner * Offers a clear connection between real analysis and functional analysis * Includes brief biographies of mathematicians "All in all, this is a beautiful selection and a masterfully balanced presentation of the fundamentals of contemporary measure and integration theory which can be grasped easily by the student." --J. Lorenz in Zentralblatt für Mathematik "...a clear and precise treatment of the subject. There are many exercises of varying degrees of difficulty. I highly recommend this book for classroom use." --CASPAR GOFFMAN, Department of Mathematics, Purdue University

Principles of Real Analysis

Author : S. C. Malik
Publisher : New Age International
ISBN 13 : 8122422772
Total Pages : 24 pages
Book Rating : 4.1/5 (224 download)

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Book Synopsis Principles of Real Analysis by : S. C. Malik

Download or read book Principles of Real Analysis written by S. C. Malik and published by New Age International. This book was released on 2008 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Principles of Mathematical Analysis

Author : Walter Rudin
Publisher : McGraw-Hill Publishing Company
ISBN 13 : 9780070856134
Total Pages : 342 pages
Book Rating : 4.8/5 (561 download)

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Book Synopsis Principles of Mathematical Analysis by : Walter Rudin

Download or read book Principles of Mathematical Analysis written by Walter Rudin and published by McGraw-Hill Publishing Company. This book was released on 1976 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and first-year graduate students. The text begins with a discussion of the real number system as a complete ordered field. (Dedekind's construction is now treated in an appendix to Chapter I.) The topological background needed for the development of convergence, continuity, differentiation and integration is provided in Chapter 2. There is a new section on the gamma function, and many new and interesting exercises are included. This text is part of the Walter Rudin Student Series in Advanced Mathematics.

Principles of Program Analysis

Author : Flemming Nielson
Publisher : Springer
ISBN 13 : 3662038110
Total Pages : 465 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Principles of Program Analysis by : Flemming Nielson

Download or read book Principles of Program Analysis written by Flemming Nielson and published by Springer. This book was released on 2015-02-27 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Program analysis utilizes static techniques for computing reliable information about the dynamic behavior of programs. Applications include compilers (for code improvement), software validation (for detecting errors) and transformations between data representation (for solving problems such as Y2K). This book is unique in providing an overview of the four major approaches to program analysis: data flow analysis, constraint-based analysis, abstract interpretation, and type and effect systems. The presentation illustrates the extensive similarities between the approaches, helping readers to choose the best one to utilize.

Principles of Harmonic Analysis

Author : Anton Deitmar
Publisher : Springer
ISBN 13 : 3319057928
Total Pages : 332 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Principles of Harmonic Analysis by : Anton Deitmar

Download or read book Principles of Harmonic Analysis written by Anton Deitmar and published by Springer. This book was released on 2014-06-21 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a complete and streamlined treatment of the central principles of abelian harmonic analysis: Pontryagin duality, the Plancherel theorem and the Poisson summation formula, as well as their respective generalizations to non-abelian groups, including the Selberg trace formula. The principles are then applied to spectral analysis of Heisenberg manifolds and Riemann surfaces. This new edition contains a new chapter on p-adic and adelic groups, as well as a complementary section on direct and projective limits. Many of the supporting proofs have been revised and refined. The book is an excellent resource for graduate students who wish to learn and understand harmonic analysis and for researchers seeking to apply it.

Principles of Complex Analysis

Author : Serge Lvovski
Publisher : Springer Nature
ISBN 13 : 3030593657
Total Pages : 257 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Principles of Complex Analysis by : Serge Lvovski

Download or read book Principles of Complex Analysis written by Serge Lvovski and published by Springer Nature. This book was released on 2020-09-26 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a brief textbook on complex analysis intended for the students of upper undergraduate or beginning graduate level. The author stresses the aspects of complex analysis that are most important for the student planning to study algebraic geometry and related topics. The exposition is rigorous but elementary: abstract notions are introduced only if they are really indispensable. This approach provides a motivation for the reader to digest more abstract definitions (e.g., those of sheaves or line bundles, which are not mentioned in the book) when he/she is ready for that level of abstraction indeed. In the chapter on Riemann surfaces, several key results on compact Riemann surfaces are stated and proved in the first nontrivial case, i.e. that of elliptic curves.

Principles of Functional Analysis

Author : Martin Schechter
Publisher : American Mathematical Soc.
ISBN 13 : 0821828959
Total Pages : 450 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Principles of Functional Analysis by : Martin Schechter

Download or read book Principles of Functional Analysis written by Martin Schechter and published by American Mathematical Soc.. This book was released on 2001-11-13 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This excellent book provides an elegant introduction to functional analysis ... carefully selected problems ... This is a nicely written book of great value for stimulating active work by students. It can be strongly recommended as an undergraduate or graduate text, or as a comprehensive book for self-study. --European Mathematical Society Newsletter Functional analysis plays a crucial role in the applied sciences as well as in mathematics. It is a beautiful subject that can be motivated and studied for its own sake. In keeping with this basic philosophy, the author has made this introductory text accessible to a wide spectrum of students, including beginning-level graduates and advanced undergraduates. The exposition is inviting, following threads of ideas, describing each as fully as possible, before moving on to a new topic. Supporting material is introduced as appropriate, and only to the degree needed. Some topics are treated more than once, according to the different contexts in which they arise. The prerequisites are minimal, requiring little more than advanced calculus and no measure theory. The text focuses on normed vector spaces and their important examples, Banach spaces and Hilbert spaces. The author also includes topics not usually found in texts on the subject. This Second Edition incorporates many new developments while not overshadowing the book's original flavor. Areas in the book that demonstrate its unique character have been strengthened. In particular, new material concerning Fredholm and semi-Fredholm operators is introduced, requiring minimal effort as the necessary machinery was already in place. Several new topics are presented, but relate to only those concepts and methods emanating from other parts of the book. These topics include perturbation classes, measures of noncompactness, strictly singular operators, and operator constants. Overall, the presentation has been refined, clarified, and simplified, and many new problems have been added. The book is recommended to advanced undergraduates, graduate students, and pure and applied research mathematicians interested in functional analysis and operator theory.

Principles of Fourier Analysis

Author : Kenneth B. Howell
Publisher : CRC Press
ISBN 13 : 1498734081
Total Pages : 805 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Principles of Fourier Analysis by : Kenneth B. Howell

Download or read book Principles of Fourier Analysis written by Kenneth B. Howell and published by CRC Press. This book was released on 2016-12-12 with total page 805 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fourier analysis is one of the most useful and widely employed sets of tools for the engineer, the scientist, and the applied mathematician. As such, students and practitioners in these disciplines need a practical and mathematically solid introduction to its principles. They need straightforward verifications of its results and formulas, and they need clear indications of the limitations of those results and formulas. Principles of Fourier Analysis furnishes all this and more. It provides a comprehensive overview of the mathematical theory of Fourier analysis, including the development of Fourier series, "classical" Fourier transforms, generalized Fourier transforms and analysis, and the discrete theory. Much of the author's development is strikingly different from typical presentations. His approach to defining the classical Fourier transform results in a much cleaner, more coherent theory that leads naturally to a starting point for the generalized theory. He also introduces a new generalized theory based on the use of Gaussian test functions that yields an even more general -yet simpler -theory than usually presented. Principles of Fourier Analysis stimulates the appreciation and understanding of the fundamental concepts and serves both beginning students who have seen little or no Fourier analysis as well as the more advanced students who need a deeper understanding. Insightful, non-rigorous derivations motivate much of the material, and thought-provoking examples illustrate what can go wrong when formulas are misused. With clear, engaging exposition, readers develop the ability to intelligently handle the more sophisticated mathematics that Fourier analysis ultimately requires.

Applied Functional Analysis

Author : Eberhard Zeidler
Publisher : Springer Science & Business Media
ISBN 13 : 1461208157
Total Pages : 503 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Applied Functional Analysis by : Eberhard Zeidler

Download or read book Applied Functional Analysis written by Eberhard Zeidler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first part of a self-contained, elementary textbook, combining linear functional analysis, nonlinear functional analysis, numerical functional analysis, and their substantial applications with each other. As such, the book addresses undergraduate students and beginning graduate students of mathematics, physics, and engineering who want to learn how functional analysis elegantly solves mathematical problems which relate to our real world. Applications concern ordinary and partial differential equations, the method of finite elements, integral equations, special functions, both the Schroedinger approach and the Feynman approach to quantum physics, and quantum statistics. As a prerequisite, readers should be familiar with some basic facts of calculus. The second part has been published under the title, Applied Functional Analysis: Main Principles and Their Applications.

Principles of Analytical Chemistry

Author : Miguel Valcarcel
Publisher : Springer Science & Business Media
ISBN 13 : 3642571573
Total Pages : 385 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Principles of Analytical Chemistry by : Miguel Valcarcel

Download or read book Principles of Analytical Chemistry written by Miguel Valcarcel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Principles of Analytical Chemistry gives readers a taste of what the field is all about. Using keywords of modern analytical chemistry, it constructs an overview of the discipline, accessible to readers pursuing different scientific and technical studies. In addition to the extremely easy-to-understand presentation, practical exercises, questions, and lessons expound a large number of examples.

Real Analysis

Author : N. L. Carothers
Publisher : Cambridge University Press
ISBN 13 : 9780521497565
Total Pages : 420 pages
Book Rating : 4.4/5 (975 download)

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Book Synopsis Real Analysis by : N. L. Carothers

Download or read book Real Analysis written by N. L. Carothers and published by Cambridge University Press. This book was released on 2000-08-15 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: A text for a first graduate course in real analysis for students in pure and applied mathematics, statistics, education, engineering, and economics.

Multi- and Megavariate Data Analysis Basic Principles and Applications

Author : L. Eriksson
Publisher : Umetrics Academy
ISBN 13 : 9197373052
Total Pages : 521 pages
Book Rating : 4.1/5 (973 download)

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Book Synopsis Multi- and Megavariate Data Analysis Basic Principles and Applications by : L. Eriksson

Download or read book Multi- and Megavariate Data Analysis Basic Principles and Applications written by L. Eriksson and published by Umetrics Academy. This book was released on 2013-07-01 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: To understand the world around us, as well as ourselves, we need to measure many things, many variables, many properties of the systems and processes we investigate. Hence, data collected in science, technology, and almost everywhere else are multivariate, a data table with multiple variables measured on multiple observations (cases, samples, items, process time points, experiments). This book describes a remarkably simple minimalistic and practical approach to the analysis of data tables (multivariate data). The approach is based on projection methods, which are PCA (principal components analysis), and PLS (projection to latent structures) and the book shows how this works in science and technology for a wide variety of applications. In particular, it is shown how the great information content in well collected multivariate data can be expressed in terms of simple but illuminating plots, facilitating the understanding and interpretation of the data. The projection approach applies to a variety of data-analytical objectives, i.e., (i) summarizing and visualizing a data set, (ii) multivariate classification and discriminant analysis, and (iii) finding quantitative relationships among the variables. This works with any shape of data table, with many or few variables (columns), many or few observations (rows), and complete or incomplete data tables (missing data). In particular, projections handle data matrices with more variables than observations very well, and the data can be noisy and highly collinear. Authors: The five authors are all connected to the Umetrics company (www.umetrics.com) which has developed and sold software for multivariate analysis since 1987, as well as supports customers with training and consultations. Umetrics' customers include most large and medium sized companies in the pharmaceutical, biopharm, chemical, and semiconductor sectors.

Software Testing and Analysis

Author : Mauro Pezze
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 516 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Software Testing and Analysis by : Mauro Pezze

Download or read book Software Testing and Analysis written by Mauro Pezze and published by John Wiley & Sons. This book was released on 2008 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaches readers how to test and analyze software to achieve an acceptable level of quality at an acceptable cost Readers will be able to minimize software failures, increase quality, and effectively manage costs Covers techniques that are suitable for near-term application, with sufficient technical background to indicate how and when to apply them Provides balanced coverage of software testing & analysis approaches By incorporating modern topics and strategies, this book will be the standard software-testing textbook

Principles of Thermal Analysis and Calorimetry

Author : Simon Gaisford
Publisher : Royal Society of Chemistry
ISBN 13 : 1788018133
Total Pages : 280 pages
Book Rating : 4.7/5 (88 download)

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Book Synopsis Principles of Thermal Analysis and Calorimetry by : Simon Gaisford

Download or read book Principles of Thermal Analysis and Calorimetry written by Simon Gaisford and published by Royal Society of Chemistry. This book was released on 2019-03-15 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of thermal and calorimetric methods has shown rapid growth over the past few decades, in an increasingly wide range of applications. The original text was published in 2001; since then there have been significant advances in various analytical techniques and their applications. This second edition supplies an up to date, concise and readable account of the principles, experimental apparatus and practical procedures used in thermal analysis and calorimetric methods of analysis. Written by experts in their field, brief accounts of the basic theory are reinforced with detailed technical advances and contemporary developments. Where appropriate, applications are used to highlight particular operating principles or methods of interpretation. As an important source of information for many levels of readership in a variety of areas, this book will be an aid for students and lecturers through to industrial and laboratory staff and consultants.

Mathematical Principles of Signal Processing

Author : Pierre Bremaud
Publisher : Springer Science & Business Media
ISBN 13 : 147573669X
Total Pages : 263 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Mathematical Principles of Signal Processing by : Pierre Bremaud

Download or read book Mathematical Principles of Signal Processing written by Pierre Bremaud and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "[...] the interested reader will find in Bremaud’s book an invaluable reference because of its coverage, scope and style, as well as of the unified treatment it offers of (signal processing oriented) Fourier and wavelet basics." Mathematical Reviews

Risk-Based Reliability Analysis and Generic Principles for Risk Reduction

Author : Michael T. Todinov
Publisher : Elsevier
ISBN 13 : 9780080467559
Total Pages : 400 pages
Book Rating : 4.4/5 (675 download)

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Book Synopsis Risk-Based Reliability Analysis and Generic Principles for Risk Reduction by : Michael T. Todinov

Download or read book Risk-Based Reliability Analysis and Generic Principles for Risk Reduction written by Michael T. Todinov and published by Elsevier. This book was released on 2006-11-03 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has been written with the intention to fill two big gaps in the reliability and risk literature: the risk-based reliability analysis as a powerful alternative to the traditional reliability analysis and the generic principles for reducing technical risk. An important theme in the book is the generic principles and techniques for reducing technical risk. These have been classified into three major categories: preventive (reducing the likelihood of failure), protective (reducing the consequences from failure) and dual (reducing both, the likelihood and the consequences from failure). Many of these principles (for example: avoiding clustering of events, deliberately introducing weak links, reducing sensitivity, introducing changes with opposite sign, etc.) are discussed in the reliability literature for the first time. Significant space has been allocated to component reliability. In the last chapter of the book, several applications are discussed of a powerful equation which constitutes the core of a new theory of locally initiated component failure by flaws whose number is a random variable. Offers a shift in the existing paradigm for conducting reliability analyses Covers risk-based reliability analysis and generic principles for reducing risk Provides a new measure of risk based on the distribution of the potential losses from failure as well as the basic principles for risk-based design Incorporates fast algorithms for system reliability analysis and discrete-event simulators Includes the probability of failure of a structure with complex shape expressed with a simple equation