Linear Analysis

An Introductory Course

Author: Béla Bollobás

Publisher: Cambridge University Press

ISBN: 9780521655774

Category: Mathematics

Page: 240

View: 7575

Revised and updated introduction to functional analysis.
Posted in Mathematics

Geometric Function Theory and Non-linear Analysis

Author: Tadeusz Iwaniec,Gaven Martin

Publisher: Clarendon Press

ISBN: 9780198509295

Category: Mathematics

Page: 552

View: 2919

'The book begins with an expertly written overview, which will be of value even to specialists in the field... authoritatively written by two of the leading figures in the field... contains a wealth of material... makes pleasant reading.' -Bulletin of the London Mathematical SocietyThis unique book explores the connections between the geometry of mappings and many important areas of modern mathematics such as harmonic and non-linear analysis, the theory of partial differential equations, conformal geometry and topology. The book contains much new material not published elsewhere and provides students and researchers in many areas with a comprehensive and up to date account of the subject as a whole.
Posted in Mathematics

Handbook for Linear Analysis

MSC/NASTRAN Version 64

Author: N.A

Publisher: N.A

ISBN: N.A

Category: MSC/NASTRAN (Computer program)

Page: 537

View: 7341

Posted in MSC/NASTRAN (Computer program)

Trends in the Theory and Practice of Non-Linear Analysis

Proceedings of the VIth International Conference on Trends in the Theory and Practice of Non-Linear Analysis held at the University of Texas at Arlington, June 18-22, 1984

Author: N.A

Publisher: Elsevier

ISBN: 9780080872216

Category: Mathematics

Page: 490

View: 5103

Trends in the Theory and Practice of Non-Linear Analysis
Posted in Mathematics

Linear Analysis and Representation Theory

Author: Steven A. Gaal

Publisher: Springer Science & Business Media

ISBN: 3642807410

Category: Mathematics

Page: 690

View: 3150

In an age when more and more items. are made to be quickly disposable or soon become obsolete due to either progress or other man caused reasons it seems almost anachronistic to write a book in the classical sense. A mathematics book becomes an indespensible companion, if it is worthy of such a relation, not by being rapidly read from cover to cover but by frequent browsing, consultation and other occasional use. While trying to create such a work I tried not to be encyclopedic but rather select only those parts of each chosen topic which I could present clearly and accurately in a formulation which is likely to last. The material I chose is all mathematics which is interesting and important both for the mathematician and to a large extent also for the mathematical physicist. I regret that at present I could not give a similar account on direct integrals and the representation theory of certain classes of Lie groups. I carefully kept the level of presentation throughout the whole book as uniform as possible. Certain introductory sections are kept shorter and are perhaps slightly more detailed in order to help the newcomer prog ress with it at the same rate as the more experienced person is going to proceed with his study of the details.
Posted in Mathematics

Finite-dimensional Linear Analysis

A Systematic Presentation in Problem Form

Author: I. M. Glazman

Publisher: Courier Corporation

ISBN: 0486453324

Category: Mathematics

Page: 520

View: 3724

A sequence of 2,400 propositions and problems features only hints. Suitable for advanced undergraduates and graduate students, this unique approach encourages students to work out their own proofs. 1974 edition.
Posted in Mathematics

Linear Analysis of Skeletal Structures

Author: David Johnson

Publisher: Thomas Telford

ISBN: 9780727732767

Category: Technology & Engineering

Page: 266

View: 3027

Linear Analysis of Skeletal Structures meets the demands of a typical prominent structural engineering educator who aims to: "teach students how to model, how to use computer packages in real contexts, to validate models, verify results and carry out parameter studies. Hand analysis is now only for very simple problems and for back-of-envelope checks". The checks referred to are usually statically based and it is therefore presumed that the reader has a firm background in statics. This unique book principally: - tackles statically indeterminate structures - replaces traditional hand analysis teaching of indeterminate structures by a workbook format approach based on qualitative and quantitative (computer analysis) studies - provides comprehensive coverage of the behavior of skeletal structures - beams, plane trusses arches, plane frames, space trusses, grids and space frames - uses case studies to provide experience of, using computer packages in real contexts; worksheets to develop qualitative understanding; and computer based problems to carry out parameter studies - emphasises computer modeling and the validation of computer models and solutions. A workbook approach is used with individual chapters covering fundamentals, beams, plane trusses, arches, plane frames, space trusses, grids, and space frames. Each chapter describes the fundamental behavior of a particular structural form, which is supplemented by qualitative examples and problems. The book will make essential reading for all levels of structural, civil, mechanical and aerospace engineers. The book will be an invaluable aid for all students of structural and civil engineering, from the later years of an undergraduate course through to postgraduate work and the early stages of graduate training within the field.
Posted in Technology & Engineering

Linear Analysis of Frameworks

Author: Tom Raymond Graves-Smith

Publisher: N.A

ISBN: 9780853126133

Category: Structural analysis (Engineering)

Page: 451

View: 1466

Posted in Structural analysis (Engineering)

Understanding Log-linear Analysis With Ilog

An Interactive Approach

Author: Roger Bakeman,Byron F. Robinson

Publisher: Psychology Press

ISBN: 1134774699

Category: Psychology

Page: 152

View: 2922

Whenever data are categorical and their frequencies can be arrayed in multidimensional tables, log-linear analysis is appropriate. Like analysis of variance and multiple regression for quantitative data, log-linear analysis lets users ask which main effects and interactions affect an outcome of interest. Until recently, however, log-linear analysis seemed difficult -- accessible only to the statistically motivated and savvy. Designed for students and researchers who want to know more about this extension of the two-dimensional chi-square, this book introduces basic ideas in clear and straightforward prose and applies them to a core of example studies. ILOG -- a software program that runs on IBM compatible personal computers -- is included with this volume. This interactive program lets readers work through and explore examples provided throughout the book. Because ILOG is capable of serious log-linear analyses, readers gain not only understanding, but the means to put that understanding into practice as well.
Posted in Psychology

An Introduction to Linear Analysis

Author: Donald L. Kreider

Publisher: N.A

ISBN: N.A

Category: Análisis de sistemas

Page: 773

View: 9291

Posted in Análisis de sistemas

Advanced Calculus

An Introduction to Linear Analysis

Author: Leonard F. Richardson

Publisher: John Wiley & Sons

ISBN: 1118030672

Category: Mathematics

Page: 416

View: 9291

Features an introduction to advanced calculus and highlights its inherent concepts from linear algebra Advanced Calculus reflects the unifying role of linear algebra in an effort to smooth readers' transition to advanced mathematics. The book fosters the development of complete theorem-proving skills through abundant exercises while also promoting a sound approach to the study. The traditional theorems of elementary differential and integral calculus are rigorously established, presenting the foundations of calculus in a way that reorients thinking toward modern analysis. Following an introduction dedicated to writing proofs, the book is divided into three parts: Part One explores foundational one-variable calculus topics from the viewpoint of linear spaces, norms, completeness, and linear functionals. Part Two covers Fourier series and Stieltjes integration, which are advanced one-variable topics. Part Three is dedicated to multivariable advanced calculus, including inverse and implicit function theorems and Jacobian theorems for multiple integrals. Numerous exercises guide readers through the creation of their own proofs, and they also put newly learned methods into practice. In addition, a "Test Yourself" section at the end of each chapter consists of short questions that reinforce the understanding of basic concepts and theorems. The answers to these questions and other selected exercises can be found at the end of the book along with an appendix that outlines key terms and symbols from set theory. Guiding readers from the study of the topology of the real line to the beginning theorems and concepts of graduate analysis, Advanced Calculus is an ideal text for courses in advanced calculus and introductory analysis at the upper-undergraduate and beginning-graduate levels. It also serves as a valuable reference for engineers, scientists, and mathematicians.
Posted in Mathematics

Inequalities: A Journey into Linear Analysis

Author: D. J. H. Garling

Publisher: Cambridge University Press

ISBN: 1139465147

Category: Mathematics

Page: N.A

View: 9895

This book contains a wealth of inequalities used in linear analysis, and explains in detail how they are used. The book begins with Cauchy's inequality and ends with Grothendieck's inequality, in between one finds the Loomis-Whitney inequality, maximal inequalities, inequalities of Hardy and of Hilbert, hypercontractive and logarithmic Sobolev inequalities, Beckner's inequality, and many, many more. The inequalities are used to obtain properties of function spaces, linear operators between them, and of special classes of operators such as absolutely summing operators. This textbook complements and fills out standard treatments, providing many diverse applications: for example, the Lebesgue decomposition theorem and the Lebesgue density theorem, the Hilbert transform and other singular integral operators, the martingale convergence theorem, eigenvalue distributions, Lidskii's trace formula, Mercer's theorem and Littlewood's 4/3 theorem. It will broaden the knowledge of postgraduate and research students, and should also appeal to their teachers, and all who work in linear analysis.
Posted in Mathematics

Linear analysis and differential equations

Author: Richard C. MacCamy,Victor J. Mizel

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: 561

View: 5721

Posted in Mathematics

Lineare Funktionalanalysis

Eine anwendungsorientierte Einführung

Author: Hans Wilhelm Alt

Publisher: Springer-Verlag

ISBN: 3642222617

Category: Mathematics

Page: 449

View: 6810

Die lineare Funktionalanalysis ist ein Teilgebiet der Mathematik, das Algebra mit Topologie und Analysis verbindet. Das Buch führt in das Fachgebiet ein, dabei bezieht es sich auf Anwendungen in Mathematik und Physik. Neben den vollständigen Beweisen aller mathematischen Sätze enthält der Band zahlreiche Aufgaben, meist mit Lösungen. Für die Neuauflage wurden die Inhalte komplett überarbeitet. Das Standardwerk auf dem Gebiet der Funktionalanalysis richtet sich insbesondere an Leser mit Interesse an Anwendungen auf Differentialgleichungen.
Posted in Mathematics

Advanced Calculus with Linear Analysis

Author: Joseph R. Lee

Publisher: Academic Press

ISBN: 1483266583

Category: Mathematics

Page: 232

View: 480

Advanced Calculus with Linear Analysis provides information pertinent to the fundamental aspects of advanced calculus from the point of view of linear spaces. This book covers a variety of topics, including function spaces, infinite series, real number system, sequence spaces, power series, partial differentiation, uniform continuity, and the class of measurable sets. Organized into nine chapters, this book begins with an overview of the concept of a single-valued function, consisting of a rule, a domain, and a range. This text then describes an infinite sequence as an ordered set of elements that can be put into a one-to-one correspondence with the positive integers. Other chapters consider a normed linear space, which is complete if and only if every Cauchy sequence converges to an element in the space. This book discusses as well the convergence of an infinite series, which is determined by the convergence of the infinite sequence of partial sums. This book is a valuable resource for students.
Posted in Mathematics

Advanced Calculus, An Introduction to Linear Analysis

Mathematics, Calculus

Author: CTI Reviews

Publisher: Cram101 Textbook Reviews

ISBN: 1467207683

Category: Education

Page: 21

View: 5210

Facts101 is your complete guide to Advanced Calculus, An Introduction to Linear Analysis. In this book, you will learn topics such as as those in your book plus much more. With key features such as key terms, people and places, Facts101 gives you all the information you need to prepare for your next exam. Our practice tests are specific to the textbook and we have designed tools to make the most of your limited study time.
Posted in Education

Non-linear analysis of reinforced concrete structures

Author: Julio Ferry Borges,Edoardo R. de Arantes e Oliveira,Laboratório Nacional de Engenharia Civil (Portugal)

Publisher: N.A

ISBN: N.A

Category: Reinforced concrete construction

Page: 19

View: 4022

Posted in Reinforced concrete construction