handbook of analysis and its foundations

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Handbook Of Analysis And Its Foundations

Author : Eric Schechter
ISBN : 0080532993
Genre : Mathematics
File Size : 49. 80 MB
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Handbook of Analysis and Its Foundations is a self-contained and unified handbook on mathematical analysis and its foundations. Intended as a self-study guide for advanced undergraduates and beginning graduatestudents in mathematics and a reference for more advanced mathematicians, this highly readable book provides broader coverage than competing texts in the area. Handbook of Analysis and Its Foundations provides an introduction to a wide range of topics, including: algebra; topology; normed spaces; integration theory; topological vector spaces; and differential equations. The author effectively demonstrates the relationships between these topics and includes a few chapters on set theory and logic to explain the lack of examples for classical pathological objects whose existence proofs are not constructive. More complete than any other book on the subject, students will find this to be an invaluable handbook. Covers some hard-to-find results including: Bessagas and Meyers converses of the Contraction Fixed Point Theorem Redefinition of subnets by Aarnes and Andenaes Ghermans characterization of topological convergences Neumanns nonlinear Closed Graph Theorem van Maarens geometry-free version of Sperners Lemma Includes a few advanced topics in functional analysis Features all areas of the foundations of analysis except geometry Combines material usually found in many different sources, making this unified treatment more convenient for the user Has its own webpage: http://math.vanderbilt.edu/

The Foundations Of Modern Time Series Analysis

Author : Terence C. Mills
ISBN : 9780230305021
Genre : Business & Economics
File Size : 32. 73 MB
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This book develops the analysis of Time Series from its formal beginnings in the 1890s through to the publication of Box and Jenkins' watershed publication in 1970, showing how these methods laid the foundations for the modern techniques of Time Series analysis that are in use today.

The Foundations Of Behavioral Economic Analysis

Author : Sanjit Dhami
ISBN : 9780198715528
Genre :
File Size : 87. 80 MB
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This is the first definitive introduction to behavioral economics aimed at advanced undergraduate and postgraduate students. Authoritative, cutting edge, yet accessible, it guides the reader through theory and evidence, providing engaging and relevant applications throughout. It is divided into nine parts and 24 chapters: Part I is on behavioral economics of risk, uncertainty, and ambiguity. The evidence against expected utility theory is examined, and the behavioral response is outlined; the best empirically supported theory is prospect theory. Part II considers other-regarding preferences. The evidence from experimental games on human sociality is given, followed by models and applications of inequity aversion, intentions based reciprocity, conditional cooperation, human virtues, and social identity. Part III is on time discounting. It considers the evidence against the exponential discounted utility model and describes several behavioral models such as hyperbolic discounting, attribute based models and the reference time theory. Part IV describes the evidence on classical game theory and considers several models of behavioral game theory, including level-k and cognitive hierarchy models, quantal response equilibrium, and psychological game theory. Part V considers behavioral models of learning that include evolutionary game theory, classical models of learning, experience weighted attraction model, learning direction theory, and stochastic social dynamics. Part VI studies the role of emotions; among other topics it considers projection bias, temptation preferences, happiness economics, and interaction between emotions and cognition. Part VII considers bounded rationality. The three main topics considered are judgment heuristics and biases, mental accounting, and behavioral finance. Part VIII considers behavioral welfare economics; the main topics are soft paternalism, and choice-based measures of welfare. Finally, Part IX gives an abbreviated taster course in neuroeconomics.

Real Analysis And Foundations Fourth Edition

Author : Steven G. Krantz
ISBN : 9781498777698
Genre : Mathematics
File Size : 20. 43 MB
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A Readable yet Rigorous Approach to an Essential Part of Mathematical Thinking Back by popular demand, Real Analysis and Foundations, Third Edition bridges the gap between classic theoretical texts and less rigorous ones, providing a smooth transition from logic and proofs to real analysis. Along with the basic material, the text covers Riemann-Stieltjes integrals, Fourier analysis, metric spaces and applications, and differential equations. New to the Third Edition Offering a more streamlined presentation, this edition moves elementary number systems and set theory and logic to appendices and removes the material on wavelet theory, measure theory, differential forms, and the method of characteristics. It also adds a chapter on normed linear spaces and includes more examples and varying levels of exercises. Extensive Examples and Thorough Explanations Cultivate an In-Depth Understanding This best-selling book continues to give students a solid foundation in mathematical analysis and its applications. It prepares them for further exploration of measure theory, functional analysis, harmonic analysis, and beyond.

Computer Algebra Handbook

Author : Johannes Grabmeier
ISBN : 3540654666
Genre : Computers
File Size : 54. 19 MB
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This Computer Algebra Handbook gives a comprehensive snapshot of this field at the intersection of mathematics and computer science with applications in physics, engineering and education. It contains both theory, systems and practice of the discipline of symbolic computation and computer algebra. With the wide angle of a "lense" of about 200 contributors it shows the state of computer algebra research and applications in the last decade of the twentieth century. Aside from discussing the foundations of computer algebra, the handbook describes 67 software systems and packages that perform tasks in symbolic computation. In addition, the handbook offers 100 pages on applications in physics, mathematics, computer science, engineering chemistry and education. The book is accompanied by a CD-ROM, containing demo versions for most of the computer algebra systems treated in the book, as well as links to further information on some of these. This book will be very useful as a reference to graduate students and researchers in symbolic computation and computer algebra.

Analysis And Design Of Shallow And Deep Foundations

Author : Lymon C. Reese
ISBN : 0471431591
Genre : Technology & Engineering
File Size : 76. 88 MB
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One-of-a-kind coverage on the fundamentals of foundation analysis and design Analysis and Design of Shallow and Deep Foundations is a significant new resource to the engineering principles used in the analysis and design of both shallow and deep, load-bearing foundations for a variety of building and structural types. Its unique presentation focuses on new developments in computer-aided analysis and soil-structure interaction, including foundations as deformable bodies. Written by the world's leading foundation engineers, Analysis and Design of Shallow and Deep Foundations covers everything from soil investigations and loading analysis to major types of foundations and construction methods. It also features: * Coverage on computer-assisted analytical methods, balanced with standard methods such as site visits and the role of engineering geology * Methods for computing the capacity and settlement of both shallow and deep foundations * Field-testing methods and sample case studies, including projects where foundations have failed, supported with analyses of the failure * CD-ROM containing demonstration versions of analytical geotechnical software from Ensoft, Inc. tailored for use by students in the classroom

The Foundations Of Positive And Normative Economics

Author : Andrew Caplin
ISBN : 0198043961
Genre : Social Science
File Size : 34. 4 MB
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The Foundations of Positive and Normative Economics: A Handbook is the first book in a new series by Andrew Caplin and Andrew Schotter. There is currently no guide available on the rapidly changing methodological frontiers of the field of economics. Economists have been introducing new theories and new sources of data at a remarkable rate in recent years, and there are widely divergent views both on how productive these expansions have been in the past, and how best to make progress in the future. The speed of these changes has left economists ill at ease, and has created a backlash against new methods. The series will debate these critical issues, allowing proponents of a particular research method to present proposals in a safe yet critical context, with alternatives being clarified. This first volume, written by some of the most prominent researchers in the discipline, reflects the challenges that are opened by new research opportunities. The goal of the current volume and the series it presages, is to formally open a dialog on methodology. The editors' conviction is that such a debate will rebound to the benefit of social science in general, and economics in particular. The issues under discussion strike to the very heart of the social scientific enterprise. This work is of tremendous importance to all who are interested in the contributions that academic research can make not only to our scientific understanding, but also to matters of policy.

Routledge Handbook Of World Systems Analysis

Author : Salvatore J. Babones
ISBN : 9780415563642
Genre : Social Science
File Size : 20. 51 MB
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This volume reviews the state of the field of world-systems analysis. World-systems analysts study the structure of the relationships among people, organisations, and states and how those relationships change over time.

Classical And Nonclassical Logics

Author : Eric Schechter
ISBN : 0691122792
Genre : Mathematics
File Size : 20. 15 MB
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Classical logic is traditionally introduced by itself, but that makes it seem arbitrary and unnatural. This text introduces classical alongside several nonclassical logics (relevant, constructive, quantative, paraconsistent).

Handbook Of Structural Equation Modeling

Author : Rick H. Hoyle
ISBN : 9781606230770
Genre : Social Science
File Size : 86. 78 MB
Format : PDF
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"This handbook offers comprehensive coverage of structural equation modeling (SEM), beginning with background issues, continuing through statistical underpinnings and steps in implementation, then moving into basic and advanced applications of SEM. In a single volume, it offers virtually complete coverage of SEM and its use"--

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