Revised and updated introduction to functional analysis.
An Introductory Course
Author: Béla Bollobás
Publisher: Cambridge University Press
'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
MSC/NASTRAN Version 64
Category: MSC/NASTRAN (Computer program)
Author: M. A. Crisfield
Category: Technology & Engineering
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
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
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
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
Author: Tom Raymond Graves-Smith
Category: Structural analysis (Engineering)
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
Author: Donald L. Kreider
Category: Análisis de sistemas
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.
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
Author: Richard C. MacCamy,Victor J. Mizel
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.
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
Author: Adriaan Cornelis Zaanen
Category: Linear programming
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
Author: Julio Ferry Borges,Edoardo R. de Arantes e Oliveira,Laboratório Nacional de Engenharia Civil (Portugal)
Category: Reinforced concrete construction