Download or read book An Introduction to Basis Theory written by Joseph Alexander Hughes and published by . This book was released on 1972 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Basis Theory Primer written by Christopher Heil and published by Springer Science & Business Media. This book was released on 2011 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is a self-contained introduction to the abstract theory of bases and redundant frame expansions and their use in both applied and classical harmonic analysis. The four parts of the text take the reader from classical functional analysis and basis theory to modern time-frequency and wavelet theory. Extensive exercises complement the text and provide opportunities for learning-by-doing, making the text suitable for graduate-level courses. The self-contained presentation with clear proofs is accessible to graduate students, pure and applied mathematicians, and engineers interested in the mathematical underpinnings of applications.
Download or read book Basic Category Theory for Computer Scientists written by Benjamin C. Pierce and published by MIT Press. This book was released on 1991-08-07 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Category theory is a branch of pure mathematics that is becoming an increasingly important tool in theoretical computer science, especially in programming language semantics, domain theory, and concurrency, where it is already a standard language of discourse. Assuming a minimum of mathematical preparation, Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Four case studies illustrate applications of category theory to programming language design, semantics, and the solution of recursive domain equations. A brief literature survey offers suggestions for further study in more advanced texts. Contents Tutorial • Applications • Further Reading
Download or read book Self Determination Theory written by Richard Ryan and published by Guilford Publications. This book was released on 2018-11-06 with total page 770 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Among the most influential models in contemporary behavioral science, self-determination theory (SDT) offers a broad framework for understanding the factors that promote human motivation and psychological flourishing. In this authoritative work, SDT cofounders Richard M. Ryan and Edward L. Deci systematically review the theory's conceptual underpinnings, empirical evidence base, and practical applications across the lifespan. Ryan and Deci demonstrate that supporting people's basic needs for competence, relatedness, and autonomy is critically important for virtually all aspects of individual and societal functioning."--Jacket.
Download or read book Basic Category Theory written by Tom Leinster and published by Cambridge University Press. This book was released on 2014-07-24 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: A short introduction ideal for students learning category theory for the first time.
Download or read book Basic Concepts of String Theory written by Ralph Blumenhagen and published by Springer Science & Business Media. This book was released on 2012-10-03 with total page 787 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to thoroughly prepare the reader for research in string theory at an intermediate level. As such it is not a compendium of results but intended as textbook in the sense that most of the material is organized in a pedagogical and self-contained fashion. Beyond the basics, a number of more advanced topics are introduced, such as conformal field theory, superstrings and string dualities - the text does not cover applications to black hole physics and cosmology, nor strings theory at finite temperatures. End-of-chapter references have been added to guide the reader wishing to pursue further studies or to start research in well-defined topics covered by this book.
Download or read book Popular Culture Theory and Methodology written by Harold E. Hinds and published by Popular Press. This book was released on 2006 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its birth in the 1960s, the study of popular culture has come a long way in defining its object, its purpose, and its place in academe. Emerging along the margins of a scholarly establishment that initially dismissed anything popular as unworthy of serious study-trivial, formulaic, easily digestible, escapist-early practitioners of the discipline stubbornly set about creating the theoretical and methodological framework upon which a deeper understanding could be founded. Through seminal essays that document the maturation of the field as it gradually made headway toward legitimacy, Popular Culture Theory and Methodology provides students of popular culture with both the historical context and the critical apparatus required for further growth. For all its progress, the study of popular culture remains a site of healthy questioning. What exactly is popular culture? How should it be studied? What forces come together in producing, disseminating, and consuming it? Is it always conformist, or has it the power to subvert, refashion, resist, and destabilize the status quo? How does it differ from folk culture, mass culture, commercial culture? Is the line between "high" and "low" merely arbitrary? Do the popular arts have a distinctive aesthetics? This collection offers a wide range of responses to these and similar questions. Edited by Harold E. Hinds, Jr., Marilyn F. Motz, and Angela M. S. Nelson, Popular Culture Theory and Methodology charts some of the key turning points in the "culture wars" and leads us through the central debates in this fast developing discipline. Authors of the more than two dozen studies, several of which are newly published here include John Cawelti, Russel B. Nye, Ray B. Browne, Fred E. H. Schroeder, John Fiske, Lawrence Mintz, David Feldman, Roger Rollin, Harold Schechter, S. Elizabeth Bird, and Harold E. Hinds, Jr. A valuable bibliography completes the volume.
Download or read book Basic Operator Theory written by Israel Gohberg and published by Birkhäuser. This book was released on 2013-12-01 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: rii application of linear operators on a Hilbert space. We begin with a chapter on the geometry of Hilbert space and then proceed to the spectral theory of compact self adjoint operators; operational calculus is next presented as a nat ural outgrowth of the spectral theory. The second part of the text concentrates on Banach spaces and linear operators acting on these spaces. It includes, for example, the three 'basic principles of linear analysis and the Riesz Fredholm theory of compact operators. Both parts contain plenty of applications. All chapters deal exclusively with linear problems, except for the last chapter which is an introduction to the theory of nonlinear operators. In addition to the standard topics in functional anal ysis, we have presented relatively recent results which appear, for example, in Chapter VII. In general, in writ ing this book, the authors were strongly influenced by re cent developments in operator theory which affected the choice of topics, proofs and exercises. One of the main features of this book is the large number of new exercises chosen to expand the reader's com prehension of the material, and to train him or her in the use of it. In the beginning portion of the book we offer a large selection of computational exercises; later, the proportion of exercises dealing with theoretical questions increases. We have, however, omitted exercises after Chap ters V, VII and XII due to the specialized nature of the subject matter.
Download or read book An Introduction to Ramsey Theory written by Matthew Katz and published by American Mathematical Soc.. This book was released on 2018-10-03 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes the reader on a journey through Ramsey theory, from graph theory and combinatorics to set theory to logic and metamathematics. Written in an informal style with few requisites, it develops two basic principles of Ramsey theory: many combinatorial properties persist under partitions, but to witness this persistence, one has to start with very large objects. The interplay between those two principles not only produces beautiful theorems but also touches the very foundations of mathematics. In the course of this book, the reader will learn about both aspects. Among the topics explored are Ramsey's theorem for graphs and hypergraphs, van der Waerden's theorem on arithmetic progressions, infinite ordinals and cardinals, fast growing functions, logic and provability, Gödel incompleteness, and the Paris-Harrington theorem. Quoting from the book, “There seems to be a murky abyss lurking at the bottom of mathematics. While in many ways we cannot hope to reach solid ground, mathematicians have built impressive ladders that let us explore the depths of this abyss and marvel at the limits and at the power of mathematical reasoning at the same time. Ramsey theory is one of those ladders.”
Download or read book Basic Probability Theory written by Robert B. Ash and published by Courier Corporation. This book was released on 2008-06-26 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to more advanced courses in probability and real analysis emphasizes the probabilistic way of thinking, rather than measure-theoretic concepts. Geared toward advanced undergraduates and graduate students, its sole prerequisite is calculus. Taking statistics as its major field of application, the text opens with a review of basic concepts, advancing to surveys of random variables, the properties of expectation, conditional probability and expectation, and characteristic functions. Subsequent topics include infinite sequences of random variables, Markov chains, and an introduction to statistics. Complete solutions to some of the problems appear at the end of the book.
Download or read book An Introduction to Category Theory written by Harold Simmons and published by Cambridge University Press. This book was released on 2011-09-22 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Category theory provides a general conceptual framework that has proved fruitful in subjects as diverse as geometry, topology, theoretical computer science and foundational mathematics. Here is a friendly, easy-to-read textbook that explains the fundamentals at a level suitable for newcomers to the subject. Beginning postgraduate mathematicians will find this book an excellent introduction to all of the basics of category theory. It gives the basic definitions; goes through the various associated gadgetry, such as functors, natural transformations, limits and colimits; and then explains adjunctions. The material is slowly developed using many examples and illustrations to illuminate the concepts explained. Over 200 exercises, with solutions available online, help the reader to access the subject and make the book ideal for self-study. It can also be used as a recommended text for a taught introductory course.
Download or read book A Basic Course in Probability Theory written by Rabi Bhattacharya and published by Springer. This book was released on 2017-02-13 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text develops the necessary background in probability theory underlying diverse treatments of stochastic processes and their wide-ranging applications. In this second edition, the text has been reorganized for didactic purposes, new exercises have been added and basic theory has been expanded. General Markov dependent sequences and their convergence to equilibrium is the subject of an entirely new chapter. The introduction of conditional expectation and conditional probability very early in the text maintains the pedagogic innovation of the first edition; conditional expectation is illustrated in detail in the context of an expanded treatment of martingales, the Markov property, and the strong Markov property. Weak convergence of probabilities on metric spaces and Brownian motion are two topics to highlight. A selection of large deviation and/or concentration inequalities ranging from those of Chebyshev, Cramer–Chernoff, Bahadur–Rao, to Hoeffding have been added, with illustrative comparisons of their use in practice. This also includes a treatment of the Berry–Esseen error estimate in the central limit theorem. The authors assume mathematical maturity at a graduate level; otherwise the book is suitable for students with varying levels of background in analysis and measure theory. For the reader who needs refreshers, theorems from analysis and measure theory used in the main text are provided in comprehensive appendices, along with their proofs, for ease of reference. Rabi Bhattacharya is Professor of Mathematics at the University of Arizona. Edward Waymire is Professor of Mathematics at Oregon State University. Both authors have co-authored numerous books, including a series of four upcoming graduate textbooks in stochastic processes with applications.
Download or read book Computational Quantum Chemistry written by Charles M. Quinn and published by Elsevier. This book was released on 2002-02-28 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Quantum Chemistry removes much of the mystery of modern computer programs for molecular orbital calculations by showing how to develop Excel spreadsheets to perform model calculations and investigate the properties of basis sets. Using the book together with the CD-ROM provides a unique interactive learning tool. In addition, because of the integration of theory with working examples on the CD-ROM, the reader can apply advanced features available in the spreadsheet to other applications in chemistry, physics, and a variety of disciplines that require the solution of differential equations.This book and CD-ROM makes a valuable companion for instructors, course designers, and students. It is suitable for direct applications in practical courses in theoretical chemistry and atomic physics, as well as for teaching advanced features of Excel in IT courses.
Download or read book A Basic Theory of Everything written by Atle Ottesen Søvik and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-04-04 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: What are the basic building blocks of the world? This book presents a naturalistic theory saying that the universe and everything in it can be reduced to three fundamental entities: a field, a set of values that can be actualized at different places in the field, and an actualizer of the values. The theory is defended by using it to answer the main questions in metaphysics, such as: What is causality, existence, laws of nature, consciousness, thinking, free will, time, mathematical entities, ethical values, etc.? The theory is compared with the main alternatives and argued to solve problems better than the existing theories. Several new theories are suggested, such as how to understand mental causation, free will and the truth of ethics and mathematics.
Download or read book A Basic Theory of Everything written by Atle Ottesen Søvik and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-04-04 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: What are the basic building blocks of the world? This book presents a naturalistic theory saying that the universe and everything in it can be reduced to three fundamental entities: a field, a set of values that can be actualized at different places in the field, and an actualizer of the values. The theory is defended by using it to answer the main questions in metaphysics, such as: What is causality, existence, laws of nature, consciousness, thinking, free will, time, mathematical entities, ethical values, etc.? The theory is compared with the main alternatives and argued to solve problems better than the existing theories. Several new theories are suggested, such as how to understand mental causation, free will and the truth of ethics and mathematics.
Download or read book An Introduction to Auction Theory written by Flavio M. Menezes and published by Oxford University Press, USA. This book was released on 2005 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a step-by-step, self-contained treatment of auction theory and aims to provide an introductory treatment to allow students to work through all the basic results. The techniques and insights gained provide a useful starting point for those wanting to venture into information economics, mechanism design and regulatory economics.
Download or read book An Introduction to Decision Theory written by Martin Peterson and published by Cambridge University Press. This book was released on 2017-03-30 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive and accessible introduction to all aspects of decision theory, now with new and updated discussions and over 140 exercises.
