Revised and updated introduction to functional analysis.
An Introductory Course
Author: Béla Bollobás
Publisher: Cambridge University Press
MSC/NASTRAN Version 64
Category: MSC/NASTRAN (Computer program)
Author: M. A. Crisfield
Category: Technology & Engineering
'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.
Author: Tadeusz Iwaniec,Gaven Martin
Publisher: Clarendon Press
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.
Author: David Johnson
Publisher: Thomas Telford
Category: Technology & Engineering
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.
Author: Steven A. Gaal
Publisher: Springer Science & Business Media
Author: Adriaan Cornelis Zaanen
Category: Linear programming
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.
An Interactive Approach
Author: Roger Bakeman,Byron F. Robinson
Publisher: Psychology Press
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.
A Systematic Presentation in Problem Form
Author: I. M. Glazman
Publisher: Courier Corporation
Author: Tom Raymond Graves-Smith
Category: Structural analysis (Engineering)
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.
An Introduction to Linear Analysis
Author: Leonard F. Richardson
Publisher: John Wiley & Sons
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.
Author: D. J. H. Garling
Publisher: Cambridge University Press
Eine anwendungsorientierte Einführung
Author: Hans Wilhelm Alt
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.
Author: Joseph R. Lee
Publisher: Academic Press
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
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.
Author: CTI Reviews
Publisher: Cram101 Textbook Reviews
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.
Author: Siu-Lai Chan,Pui-Tak Chui
Category: Technology & Engineering
Author: Julio Ferry Borges,Edoardo R. de Arantes e Oliveira,Laboratório Nacional de Engenharia Civil (Portugal)
Category: Reinforced concrete construction
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 (booknews.com)
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