Linear Analysis

An Introductory Course

Author: Béla Bollobás

Publisher: Cambridge University Press

ISBN: 9780521655774

Category: Mathematics

Page: 240

View: 889

Revised and updated introduction to functional analysis.
Posted in Mathematics

Handbook for Linear Analysis

MSC/NASTRAN Version 64

Author: N.A

Publisher: N.A


Category: MSC/NASTRAN (Computer program)

Page: 537

View: 9627

Posted in MSC/NASTRAN (Computer program)

Geometric Function Theory and Non-linear Analysis

Author: Tadeusz Iwaniec,Gaven Martin

Publisher: Clarendon Press

ISBN: 9780198509295

Category: Mathematics

Page: 552

View: 6637

'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

Linear Analysis of Skeletal Structures

Author: David Johnson

Publisher: Thomas Telford

ISBN: 9780727732767

Category: Technology & Engineering

Page: 266

View: 5308

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 and Representation Theory

Author: Steven A. Gaal

Publisher: Springer Science & Business Media

ISBN: 3642807410

Category: Mathematics

Page: 690

View: 857

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

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: 9472

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

Finite-dimensional Linear Analysis

A Systematic Presentation in Problem Form

Author: I. M. Glazman

Publisher: Courier Corporation

ISBN: 0486453324

Category: Mathematics

Page: 520

View: 1476

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 Frameworks

Author: Tom Raymond Graves-Smith

Publisher: N.A

ISBN: 9780853126133

Category: Structural analysis (Engineering)

Page: 451

View: 1875

Posted in Structural analysis (Engineering)

Advanced Calculus

An Introduction to Linear Analysis

Author: Leonard F. Richardson

Publisher: John Wiley & Sons

ISBN: 1118030672

Category: Mathematics

Page: 416

View: 9721

Features an introduction to advanced calculus and highlights itsinherent concepts from linear algebra Advanced Calculus reflects the unifying role of linearalgebra in an effort to smooth readers' transition to advancedmathematics. The book fosters the development of completetheorem-proving skills through abundant exercises while alsopromoting a sound approach to the study. The traditional theoremsof elementary differential and integral calculus are rigorouslyestablished, presenting the foundations of calculus in a way thatreorients thinking toward modern analysis. Following an introduction dedicated to writing proofs, the bookis divided into three parts: Part One explores foundational one-variable calculus topics fromthe viewpoint of linear spaces, norms, completeness, and linearfunctionals. Part Two covers Fourier series and Stieltjes integration, whichare advanced one-variable topics. Part Three is dedicated to multivariable advanced calculus,including inverse and implicit function theorems and Jacobiantheorems for multiple integrals. Numerous exercises guide readers through the creation of theirown proofs, and they also put newly learned methods into practice.In addition, a "Test Yourself" section at the end of each chapterconsists of short questions that reinforce the understanding ofbasic concepts and theorems. The answers to these questions andother selected exercises can be found at the end of the book alongwith an appendix that outlines key terms and symbols from settheory. Guiding readers from the study of the topology of the real lineto the beginning theorems and concepts of graduate analysis,Advanced Calculus is an ideal text for courses in advancedcalculus and introductory analysis at the upper-undergraduate andbeginning-graduate levels. It also serves as a valuable referencefor 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: 6145

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

Lineare Funktionalanalysis

Eine anwendungsorientierte Einführung

Author: Hans Wilhelm Alt

Publisher: Springer-Verlag

ISBN: 3662083868

Category: Mathematics

Page: 294

View: 9457

Posted in Mathematics

Advanced Calculus with Linear Analysis

Author: Joseph R. Lee

Publisher: Academic Press

ISBN: 1483266583

Category: Mathematics

Page: 232

View: 1056

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

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: 1626

Trends in the Theory and Practice of Non-Linear Analysis
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: 5987

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 Static and Cyclic Analysis of Steel Frames with Semi-Rigid Connections

Author: Siu-Lai Chan,Pui-Tak Chui

Publisher: Elsevier

ISBN: 9780080537719

Category: Technology & Engineering

Page: 356

View: 2684

This book is devoted to the discussion and studies of simple and efficient numerical procedures for large deflection and elasto-plastic analysis of steel frames under static and dynamic loading. In chapter 1, the basic fundamental behaviour and philosophy for design of structural steel is discussed, emphasising different modes of buckling and the inter-relationship between different types of analysis. In addition to this, different levels of refinement for non-linear analysis are described. An introduction is also given to the well-known P-&dgr; and P-&Dgr; effects. Chapter 2 presents the basic matrix method of analysis and gives several examples of linear analysis of semi-rigid pointed frames. It is evident from this that one must have a good understanding of first-order linear analysis before handling a second-order non-linear analysis. In chapter 3, the linearized bifurcation and second-order large deflection are compared and the detailed procedure for a second-order analysis based on the Newton-Raphson scheme is described. Chapter 4 introduces various solution schemes for tracing of post-buckling equilibrium paths and the Minimum Residual Displacement control method with arc-length load step control is employed for the post-buckling analysis of two and three dimensional structures. Chapter 5 addresses the non-linear behaviour and modelling of semi-rigid connections while several numerical functions for description of moment versus rotation curves of typical connection types are introduced. The scope of the work in chapter 6 covers semi-rigid connections and material yielding to the static analysis of steel frames. Chapter 7 studies the cyclic response of steel frames with semi-rigid joints and elastic material characteristics. In the last chapter the combined effects of semi-rigid connections and plastic hinges on steel frames under time-dependent loads are studied using a simple springs-in-series model. For computational effectiveness and efficiency, the concentrated plastic hinge concept is used throughout these studies.
Posted in Technology & Engineering

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


Category: Reinforced concrete construction

Page: 19

View: 8537

Posted in Reinforced concrete construction

Fitness for service : evaluations and non-linear analysis--2002

presented at the 2002 ASME Pressure Vessels and Piping Conference : Vancouver, British Columbia, Canada, August 5-9, 2002

Author: Dennis K. Williams,American Society of Mechanical Engineers. Pressure Vessels and Piping Division

Publisher: N.A

ISBN: 9780791846537

Category: Science

Page: 174

View: 1308

Annotation Contains 19 papers presented during five of the technical sessions sponsored by the design and analysis committee during the August 2002 conference. The researchers present new developments and methods for the evaluation of service induced damage such as cracking or wall thinning. Among the topics are fitness for purpose assessment of a full encirclement split tee for hot tapping, probabilistic integrity assessment of axial flaw in CANDU pressure tubes, non-linear analysis of anchored tanks subject to equivalent seismic loading, and development of a handbook for the refinery and petrochemical industries. No subject index. Annotation c. Book News, Inc., Portland, OR (
Posted in Science