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Theory And Applications
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Book Synopsis Sum of Squares: Theory and Applications by : Pablo A. Parrilo
Download or read book Sum of Squares: Theory and Applications written by Pablo A. Parrilo and published by American Mathematical Soc.. This book was released on with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on lectures delivered at the 2019 AMS Short Course “Sum of Squares: Theory and Applications”, held January 14–15, 2019, in Baltimore, Maryland. This book provides a concise state-of-the-art overview of the theory and applications of polynomials that are sums of squares. This is an exciting and timely topic, with rich connections to many areas of mathematics, including polynomial and semidefinite optimization, real and convex algebraic geometry, and theoretical computer science. The six chapters introduce and survey recent developments in this area; specific topics include the algebraic and geometric aspects of sums of squares and spectrahedra, lifted representations of convex sets, and the algorithmic and computational implications of viewing sums of squares as a meta algorithm. The book also showcases practical applications of the techniques across a variety of areas, including control theory, statistics, finance and machine learning.
Book Synopsis Functional Analysis by : R.E. Edwards
Download or read book Functional Analysis written by R.E. Edwards and published by Courier Corporation. This book was released on 2012-10-25 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The book contains an enormous amount of information — mathematical, bibliographical and historical — interwoven with some outstanding heuristic discussions." — Mathematical Reviews. In this massive graduate-level study, Emeritus Professor Edwards (Australian National University, Canberra) presents a balanced account of both the abstract theory and the applications of linear functional analysis. Written for readers with a basic knowledge of set theory, general topology, and vector spaces, the book includes an abundance of carefully chosen illustrative examples and excellent exercises at the end of each chapter. Beginning with a chapter of preliminaries on set theory and topology, Dr. Edwards then presents detailed, in-depth discussions of vector spaces and topological vector spaces, the Hahn-Banach theorem (including applications to potential theory, approximation theory, game theory, and other fields) and fixed-point theorems. Subsequent chapters focus on topological duals of certain spaces: radon measures, distribution and linear partial differential equations, open mapping and closed graph theorems, boundedness principles, duality theory, the theory of compact operators and the Krein-Milman theorem and its applications to commutative harmonic analysis. Clearly and concisely written, Dr. Edwards's book offers rewarding reading to mathematicians and physicists with an interest in the important field of functional analysis. Because of the broad scope of its coverage, this volume will be especially valuable to the reader with a basic knowledge of functional analysis who wishes to learn about parts of the subject other than his own specialties. A comprehensive 32-page bibliography supplies a rich source of references to the basic literature.
Book Synopsis Theory and Applications of the Poincaré Group by : Young Suh Kim
Download or read book Theory and Applications of the Poincaré Group written by Young Suh Kim and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Special relativity and quantum mechanics, formulated early in the twentieth century, are the two most important scientific languages and are likely to remain so for many years to come. In the 1920's, when quantum mechanics was developed, the most pressing theoretical problem was how to make it consistent with special relativity. In the 1980's, this is still the most pressing problem. The only difference is that the situation is more urgent now than before, because of the significant quantity of experimental data which need to be explained in terms of both quantum mechanics and special relativity. In unifying the concepts and algorithms of quantum mechanics and special relativity, it is important to realize that the underlying scientific language for both disciplines is that of group theory. The role of group theory in quantum mechanics is well known. The same is true for special relativity. Therefore, the most effective approach to the problem of unifying these two important theories is to develop a group theory which can accommodate both special relativity and quantum mechanics. As is well known, Eugene P. Wigner is one of the pioneers in developing group theoretical approaches to relativistic quantum mechanics. His 1939 paper on the inhomogeneous Lorentz group laid the foundation for this important research line. It is generally agreed that this paper was somewhat ahead of its time in 1939, and that contemporary physicists must continue to make real efforts to appreciate fully the content of this classic work.
Book Synopsis Estimation Theory with Applications to Communications and Control by : Andrew P. Sage
Download or read book Estimation Theory with Applications to Communications and Control written by Andrew P. Sage and published by . This book was released on 1979 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Design-Based Research in Education by : Zoi A. Philippakos
Download or read book Design-Based Research in Education written by Zoi A. Philippakos and published by Guilford Publications. This book was released on 2021-10-15 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Effective research in educational settings requires collaboration between researchers and school-based practitioners to codesign instruction and assessment, analyze findings to inform subsequent iterations, and make thoughtful revisions. This innovative reference and course text examines the theory and practice of design-based research (DBR), an important methodology for conducting studies in authentic educational contexts. Leading experts provide specific examples of high-quality DBR addressing different research foci, grade levels, and subject areas (literacy/English language arts, math, and science). Applications are presented for curriculum development, intervention, assessment, and digital contexts, as well as teaching second-language learners. Also addressed is DBR’s role in educator preparation, professional development, dissertation research, and technical education.
Download or read book Grey Systems written by Sifeng Liu and published by Springer. This book was released on 2010-12-09 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Due to inherent limitations in human sensing organs, most data collected for various purposes contain uncertainties. Even at the rare occasions when accurate data are available, the truthful predictions derived on the data tend to create chaotic consequences. So, to effectively process and make sense out of available data, we need methods to deal with uncertainty inherently existing inside the data. The intent of this monograph is to explore the fundamental theory, methods, and techniques of practical application of grey systems theory, initiated by Professor Deng Julong in 1982. This volume presents most of the recent advances of the theory accomplished by scholars from around the world. From studying this book, the reader will not only acquire an overall knowledge of this new theory but also be able to follow the most current research activities. All examples presented are based on practical applications of the theory when urgent real-life problems had to be addressed. Last but not the least, this book concludes with three appendices. The first one compares grey systems theory and interval analysis while revealing the fact that interval analysis is a part of grey mathematics. The second appendix presents an array of different approaches of studying uncertainties. And, the last appendix shows how uncertainties appear using general systems approach.
Book Synopsis Number Theory with Applications by : James Andrew Anderson
Download or read book Number Theory with Applications written by James Andrew Anderson and published by Pearson. This book was released on 1997 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: For undergraduate courses in Number Theory for mathematics, computer science, and engineering majors. Ideal for students of varying mathematical sophistication, this text provides a self-contained logical development of basic number theory, supplemented with numerous applications and advanced topics.
Book Synopsis Simulated Annealing by : Marcos Sales Guerra Tsuzuki
Download or read book Simulated Annealing written by Marcos Sales Guerra Tsuzuki and published by BoD – Books on Demand. This book was released on 2012-10-17 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents state of the art contributes to Simulated Annealing (SA) that is a well-known probabilistic meta-heuristic. It is used to solve discrete and continuous optimization problems. The significant advantage of SA over other solution methods has made it a practical solution method for solving complex optimization problems. Book is consisted of 13 chapters, classified in single and multiple objectives applications and it provides the reader with the knowledge of SA and several applications. We encourage readers to explore SA in their work, mainly because it is simple and can determine extremely very good results.
Book Synopsis Games, Theory and Applications by : L. C. Thomas
Download or read book Games, Theory and Applications written by L. C. Thomas and published by Courier Corporation. This book was released on 2012-12-13 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text opens with the theory of 2-person zero-sum games, 2-person non-zero sum games, and n-person games, at a level between non-mathematical introductory books and technical mathematical game theory books. Includes introductory explanations of gaming and meta games. Includes numerous exercises anbd problems with solutions and over 30 illustrations. 1986 edition.
Book Synopsis Theory and Applications of Ontology: Philosophical Perspectives by : Roberto Poli
Download or read book Theory and Applications of Ontology: Philosophical Perspectives written by Roberto Poli and published by Springer Science & Business Media. This book was released on 2010-08-28 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ontology was once understood to be the philosophical inquiry into the structure of reality: the analysis and categorization of ‘what there is’. Recently, however, a field called ‘ontology’ has become part of the rapidly growing research industry in information technology. The two fields have more in common than just their name. Theory and Applications of Ontology is a two-volume anthology that aims to further an informed discussion about the relationship between ontology in philosophy and ontology in information technology. It fills an important lacuna in cutting-edge research on ontology in both fields, supplying stage-setting overview articles on history and method, presenting directions of current research in either field, and highlighting areas of productive interdisciplinary contact. Theory and Applications of Ontology: Philosophical Perspectives presents ontology in philosophy in ways that computer scientists are not likely to find elsewhere. The volume offers an overview of current research traditions in ontology, contrasting analytical, phenomenological, and hermeneutic approaches. It introduces the reader to current philosophical research on those categories of everyday and scientific reasoning that are most relevant to present and future research in information technology.
Download or read book Economics written by and published by . This book was released on 2015 with total page 1603 pages. Available in PDF, EPUB and Kindle. Book excerpt: Russell Cooper and Andrew John have written an economics text aimed directly at students from its very inception. You?re thinking, "Yeah, sure. I?ve heard that before." This textbook, Economics: Theory Through Applications, centers around student needs and expectations through two premises:? Students are motivated to study economics if they see that it relates to their own lives.? Students learn best from an inductive approach, in which they are first confronted with a problem, and then led through the process of solving that problem. Many books claim to present economics in a way that is digestible for students; Russell and Andrew have truly created one from scratch. This textbook will assist you in increasing students? economic literacy both by developing their aptitude for economic thinking and by presenting key insights about economics that every educated individual should know. How? Russell and Andrew have done three things in this text to accomplish that goal: Applications Ahead of Theory: They present all the theory that is standard in Principles books. But by beginning with applications, students get to learn why this theory is needed. Learning through Repetition: Important tools appear over and over again, allowing students to learn from repetition and to see how one framework can be useful in many different contexts. A Student?s Table of Contents vs. An Instructor?s Table of Contents: There is no further proof that Russell and Andrew have created a book aimed specifically at educating students about economics than their two tables of contents.
Book Synopsis Bargaining Theory with Applications by : Abhinay Muthoo
Download or read book Bargaining Theory with Applications written by Abhinay Muthoo and published by Cambridge University Press. This book was released on 1999-08-19 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate textbook presenting abstract models of bargaining in a unified framework with detailed applications involving economic, political and social situations.
Book Synopsis Measurement Theory and Applications for the Social Sciences by : Deborah L. Bandalos
Download or read book Measurement Theory and Applications for the Social Sciences written by Deborah L. Bandalos and published by Guilford Publications. This book was released on 2018-01-31 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: Which types of validity evidence should be considered when determining whether a scale is appropriate for a given measurement situation? What about reliability evidence? Using clear explanations illustrated by examples from across the social and behavioral sciences, this engaging text prepares students to make effective decisions about the selection, administration, scoring, interpretation, and development of measurement instruments. Coverage includes the essential measurement topics of scale development, item writing and analysis, and reliability and validity, as well as more advanced topics such as exploratory and confirmatory factor analysis, item response theory, diagnostic classification models, test bias and fairness, standard setting, and equating. End-of-chapter exercises (with answers) emphasize both computations and conceptual understanding to encourage readers to think critically about the material. ÿ
Book Synopsis Category Theory And Applications: A Textbook For Beginners (Second Edition) by : Marco Grandis
Download or read book Category Theory And Applications: A Textbook For Beginners (Second Edition) written by Marco Grandis and published by World Scientific. This book was released on 2021-03-05 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Category Theory now permeates most of Mathematics, large parts of theoretical Computer Science and parts of theoretical Physics. Its unifying power brings together different branches, and leads to a better understanding of their roots.This book is addressed to students and researchers of these fields and can be used as a text for a first course in Category Theory. It covers the basic tools, like universal properties, limits, adjoint functors and monads. These are presented in a concrete way, starting from examples and exercises taken from elementary Algebra, Lattice Theory and Topology, then developing the theory together with new exercises and applications.A reader should have some elementary knowledge of these three subjects, or at least two of them, in order to be able to follow the main examples, appreciate the unifying power of the categorical approach, and discover the subterranean links brought to light and formalised by this perspective.Applications of Category Theory form a vast and differentiated domain. This book wants to present the basic applications in Algebra and Topology, with a choice of more advanced ones, based on the interests of the author. References are given for applications in many other fields.In this second edition, the book has been entirely reviewed, adding many applications and exercises. All non-obvious exercises have now a solution (or a reference, in the case of an advanced topic); solutions are now collected in the last chapter.
Book Synopsis Game Theory and Its Applications by : Akio Matsumoto
Download or read book Game Theory and Its Applications written by Akio Matsumoto and published by Springer. This book was released on 2015-09-08 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book integrates the fundamentals, methodology, and major application fields of noncooperative and cooperative games including conflict resolution. The topics addressed in the book are discrete and continuous games including games represented by finite trees; matrix and bimatrix games as well as oligopolies; cooperative solution concepts; games under uncertainty; dynamic games and conflict resolution. The methodology is illustrated by carefully chosen examples, applications and case studies which are selected from economics, social sciences, engineering, the military and homeland security. This book is highly recommended to readers who are interested in the in-depth and up-to-date integration of the theory and ever-expanding application areas of game theory.
Book Synopsis Turing Computability by : Robert I. Soare
Download or read book Turing Computability written by Robert I. Soare and published by Springer. This book was released on 2016-06-20 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Turing's famous 1936 paper introduced a formal definition of a computing machine, a Turing machine. This model led to both the development of actual computers and to computability theory, the study of what machines can and cannot compute. This book presents classical computability theory from Turing and Post to current results and methods, and their use in studying the information content of algebraic structures, models, and their relation to Peano arithmetic. The author presents the subject as an art to be practiced, and an art in the aesthetic sense of inherent beauty which all mathematicians recognize in their subject. Part I gives a thorough development of the foundations of computability, from the definition of Turing machines up to finite injury priority arguments. Key topics include relative computability, and computably enumerable sets, those which can be effectively listed but not necessarily effectively decided, such as the theorems of Peano arithmetic. Part II includes the study of computably open and closed sets of reals and basis and nonbasis theorems for effectively closed sets. Part III covers minimal Turing degrees. Part IV is an introduction to games and their use in proving theorems. Finally, Part V offers a short history of computability theory. The author has honed the content over decades according to feedback from students, lecturers, and researchers around the world. Most chapters include exercises, and the material is carefully structured according to importance and difficulty. The book is suitable for advanced undergraduate and graduate students in computer science and mathematics and researchers engaged with computability and mathematical logic.
Book Synopsis Rigidity Theory and Applications by : M.F. Thorpe
Download or read book Rigidity Theory and Applications written by M.F. Thorpe and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although rigidity has been studied since the time of Lagrange (1788) and Maxwell (1864), it is only in the last twenty-five years that it has begun to find applications in the basic sciences. The modern era starts with Laman (1970), who made the subject rigorous in two dimensions, followed by the development of computer algorithms that can test over a million sites in seconds and find the rigid regions, and the associated pivots, leading to many applications. This workshop was organized to bring together leading researchers studying the underlying theory, and to explore the various areas of science where applications of these ideas are being implemented.
