Download or read book Introduction to Classical and Modern Analysis and Their Application to Group Representation Theory written by Debabrata Basu and published by World Scientific. This book was released on 2011 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is suitable for use in any graduate course on analytical methods and their application to representation theory. Each concept is developed with special emphasis on lucidity and clarity. The book also shows the direct link of Cauchy?Pochhammer theory with the Hadamard?Reisz?Schwartz?Gel'fand et al. regularization. The flaw in earlier works on the Plancheral formula for the universal covering group of SL(2, R) is pointed out and rectified. This topic appears here for the first time in the correct form.Existing treatises are essentially magnum opus of the experts, intended for other experts in the field. This book, on the other hand, is unique insofar as every chapter deals with topics in a way that differs remarkably from traditional treatment. For example, Chapter 3 presents the Cauchy?Pochhammer theory of gamma, beta and zeta function in a form which has not been presented so far in any treatise of classical analysis.
Download or read book Applications of Group Analysis for the Twenty First Century written by Jason Maratos and published by Routledge. This book was released on 2018-05-15 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Institute of Group Analysis (IGA) celebrates forty years from its foundation with the publication of these two volumes. The first volume aims to publicise the foundations of group analysis (with the earliest papers of Foulkes) as well as the most influential theoretical contributions by pillars of modern group analysis, such as Pines, Brown, and Hopper. The reader will be able to see the development of Group Analysis, form an opinion about the trajectory that it follows, and judge which way the tradition of openness and creative integration of diverse theoretical contributions will lead in the twenty-first century. The second volume focuses on the numerous fields of work that use group analytic principles. Workers in the field of forensic psychotherapy would now consider a great omission if they did not use some form of group analytic intervention, as would professionals dealing with those who manifest personality disorders or different age groups, such as adolescents. Group analysis has made significant contribution to organisational work, to feminism and anti-discrimination (including anti-racism) as well as in education.
Download or read book APPLICATIONS OF GROUP ANALYSIS FOR THE T written by JASON MARATOS and published by . This book was released on 2019-06-21 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book CRC Handbook of Lie Group Analysis of Differential Equations written by Nail H. Ibragimov and published by CRC Press. This book was released on 1994-11-28 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 2 offers a unique blend of classical results of Sophus Lie with new, modern developments and numerous applications which span a period of more than 100 years. As a result, this reference is up to date, with the latest information on the group theoretic methods used frequently in mathematical physics and engineering. Volume 2 is divided into three parts. Part A focuses on relevant definitions, main algorithms, group classification schemes for partial differential equations, and multifaceted possibilities offered by Lie group theoretic philosophy. Part B contains the group analysis of a variety of mathematical models for diverse natural phenomena. It tabulates symmetry groups and solutions for linear equations of mathematical physics, classical field theory, viscous and non-Newtonian fluids, boundary layer problems, Earth sciences, elasticity, plasticity, plasma theory (Vlasov-Maxwell equations), and nonlinear optics and acoustics. Part C offers an English translation of Sophus Lie's fundamental paper on the group classification and invariant solutions of linear second-order equations with two independent variables. This will serve as a concise, practical guide to the group analysis of partial differential equations.
Download or read book Applications of Lie Group Analysis in Geophysical Fluid Dynamics written by Nail? Kha?rullovich Ibragimov and published by World Scientific. This book was released on 2011 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quickly learn essential inventor tools and techniques This full-color Autodesk Official Press guide will help you quickly learn the powerful manufacturing software′s core features and functions. Thom Tremblay, an Autodesk Certified Instructor, uses concise, straightforward explanations and real-world, hands-on exercises to help you become productive with Inventor. Full-color screenshots illustrate tutorial steps, and chapters conclude with a related and more open-ended project to further reinforce the chapter′s lessons. Based on the very real-world task of designing tools and a toolbox to house them, the book demonstrates creating 2D drawings from 3D data, modeling parts, combining parts into assemblies, annotating drawings, using advanced assembly tools, working with sheet metal, presenting designs, and more. Full-color screenshots illustrate the steps, and additional files are available for download so you can compare your results with those of professionals. You′ll also get information to help you prepare for the Inventor certification exams. Introduces new users to the software with real-world projects, hands-on tutorials, and full-color illustrations Begins each chapter with a quick discussion of concepts and learning goals and then moves into approachable, hands-on exercises Covers the interface and foundational concepts, modeling parts, combining them into assemblies building with the frame generator, using weldments Includes material to help you prepare for the Inventor certification exams Autodesk Inventor 2014 Essentials provides the information you need to quickly become proficient with the powerful 3D mechanical design software.
Download or read book Geometrical Properties Of Differential Equations Applications Of The Lie Group Analysis In Financial Mathematics written by Ljudmila A Bordag and published by World Scientific Publishing Company. This book was released on 2015-05-27 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is a short comprehensive and intuitive introduction to Lie group analysis of ordinary and partial differential equations. This practical-oriented material contains a large number of examples and problems accompanied by detailed solutions and figures. In comparison with the known beginner guides to Lie group analysis, the book is oriented toward students who are interested in financial mathematics, mathematical finance and economics.We provide the results of the Lie group analysis of actual models in Financial Mathematics using recent publications. These models are usually formulated as nonlinear partial differential equations and are rather difficult to make use of. With the help of Lie group analysis it is possible to describe some important properties of these models and to obtain interesting reductions in a clear and understandable algorithmic way.The book can serve as a short introduction for a further study of modern geometrical analysis applied to models in financial mathematics. It can also be used as textbook in a master's program, in an intensive compact course, or for self study.The textbook with a large number of examples will be useful not only for students who are interested in Financial Mathematics but also for people who are working in other areas of research that are not directly connected with Physics (for instance in such areas of Applied Mathematics like mathematical economy, bio systems, coding theory, etc.).
Download or read book Group Sequential Methods with Applications to Clinical Trials written by Christopher Jennison and published by CRC Press. This book was released on 1999-09-15 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Group sequential methods answer the needs of clinical trial monitoring committees who must assess the data available at an interim analysis. These interim results may provide grounds for terminating the study-effectively reducing costs-or may benefit the general patient population by allowing early dissemination of its findings. Group sequential methods provide a means to balance the ethical and financial advantages of stopping a study early against the risk of an incorrect conclusion. Group Sequential Methods with Applications to Clinical Trials describes group sequential stopping rules designed to reduce average study length and control Type I and II error probabilities. The authors present one-sided and two-sided tests, introduce several families of group sequential tests, and explain how to choose the most appropriate test and interim analysis schedule. Their topics include placebo-controlled randomized trials, bio-equivalence testing, crossover and longitudinal studies, and linear and generalized linear models. Research in group sequential analysis has progressed rapidly over the past 20 years. Group Sequential Methods with Applications to Clinical Trials surveys and extends current methods for planning and conducting interim analyses. It provides straightforward descriptions of group sequential hypothesis tests in a form suited for direct application to a wide variety of clinical trials. Medical statisticians engaged in any investigations planned with interim analyses will find this book a useful and important tool.
Download or read book Group Analysis of Differential Equations written by L. V. Ovsiannikov and published by Academic Press. This book was released on 2014-05-10 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Group Analysis of Differential Equations provides a systematic exposition of the theory of Lie groups and Lie algebras and its application to creating algorithms for solving the problems of the group analysis of differential equations. This text is organized into eight chapters. Chapters I to III describe the one-parameter group with its tangential field of vectors. The nonstandard treatment of the Banach Lie groups is reviewed in Chapter IV, including a discussion of the complete theory of Lie group transformations. Chapters V and VI cover the construction of partial solution classes for the given differential equation with a known admitted group. The theory of differential invariants that is developed on an infinitesimal basis is elaborated in Chapter VII. The last chapter outlines the ways in which the methods of group analysis are used in special issues involving differential equations. This publication is a good source for students and specialists concerned with areas in which ordinary and partial differential equations play an important role.
Download or read book Foundations of Group Analysis for the Twenty First Century written by Jason Maratos and published by Routledge. This book was released on 2018-05-15 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Institute of Group Analysis (IGA) celebrates forty years from its foundation with the publication of two new volumes tracing the foundations and applications of Group Analysis. The first volume ('Foundations') aims to publicise the foundations of group analysis (with the earliest papers of Foulkes) as well as the most influential theoretical contributions by pillars of modern group analysis, such as Pines, Brown, and Hopper. The reader will be able to see the development of Group Analysis, form an opinion about the trajectory that it follows, and judge which way the tradition of openness and creative integration of diverse theoretical contributions will lead in the twenty-first century. The second volume ('Applications') focuses on the numerous fields of work that use group analytic principles. Workers in the field of forensic psychotherapy would now consider it a great omission if they did not use some form of group analytic intervention, as would professionals dealing with those who manifest personality disorders, or those who work with different age groups, such as adolescents.
Download or read book Combinatorial Optimization and Applications written by Zhao Zhang and published by Springer. This book was released on 2014-11-13 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 8th International Conference on Combinatorial Optimization and Applications, COCOA 2014, held on the island of Maui, Hawaii, USA, in December 2014. The 56 full papers included in the book were carefully reviewed and selected from 133 submissions. Topics covered include classic combinatorial optimization; geometric optimization; network optimization; optimization in graphs; applied optimization; CSoNet; and complexity, cryptography, and games.
Download or read book Modern Group Analysis Advanced Analytical and Computational Methods in Mathematical Physics written by N.H. Ibragimov and published by Springer Science & Business Media. This book was released on 2011-06-27 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: On the occasion of the 150th anniversary of Sophus Lie, an International Work shop "Modern Group Analysis: advanced analytical and computational methods in mathematical physics" has been organized in Acireale (Catania, Sicily, October 27 31, 1992). The Workshop was aimed to enlighten the present state ofthis rapidly expanding branch of applied mathematics. Main topics of the Conference were: • classical Lie groups applied for constructing invariant solutions and conservation laws; • conditional (partial) symmetries; • Backlund transformations; • approximate symmetries; • group analysis of finite-difference equations; • problems of group classification; • software packages in group analysis. The success of the Workshop was due to the participation of many experts in Group Analysis from different countries. This book consists of selected papers presented at the Workshop. We would like to thank the Scientific Committee for the generous support of recommending invited lectures and selecting the papers for this volume, as well as the members of the Organizing Committee for their help. The Workshop was made possible by the financial support of several sponsors that are listed below. It is also a pleasure to thank our colleague Enrico Gregorio for his invaluable help of this volume.
Download or read book CRC Handbook of Lie Group Analysis of Differential Equations Volume I written by Nail H. Ibragimov and published by CRC Press. This book was released on 2023-08-25 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today Lie group theoretical approach to differential equations has been extended to new situations and has become applicable to the majority of equations that frequently occur in applied sciences. Newly developed theoretical and computational methods are awaiting application. Students and applied scientists are expected to understand these methods. Volume 3 and the accompanying software allow readers to extend their knowledge of computational algebra. Written by the world's leading experts in the field, this up-to-date sourcebook covers topics such as Lie-Bäcklund, conditional and non-classical symmetries, approximate symmetry groups for equations with a small parameter, group analysis of differential equations with distributions, integro-differential equations, recursions, and symbolic software packages. The text provides an ideal introduction to the modern group analysis and addresses issues to both beginners and experienced researchers in the application of Lie group methods.
Download or read book Group Analysis Working with Staff Teams and Organizations written by Aleksandra Novakovic and published by Routledge. This book was released on 2019-02-12 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: Featuring contributions from a range of organizational contexts, Group Analysis: Working with Staff, Teams and Organizations identifies the key features to group analytic practice as well as how different theoretical orientations, such as Systemic and Tavistock Consultancy approaches, can be incorporated into the process. The book addresses two essential features of group analysis: the exploration of unconscious dynamics in groups, and the shifts of observational attention between the group as a whole, the individual in the group, and the group in the individual. Including perspectives from both organizational consultancy and reflective practice, chapters feature analysis with groups and subgroups in a range of settings, including a forensic psychiatric hospital, a children’s hospice, an Anglican religious community and the management team of a global organization. Group Analysis: Working with Staff, Teams and Organizations is a major contribution to the developing literature on group analysis. It will be of great interest to psychotherapists, organizational consultants, facilitators of reflective practice groups, coaches, trainees in these disciplines, and any professionals who work with staff, teams, and organizations.
Download or read book The Art of Group Analysis in Organisations written by Gerhard Wilke and published by Routledge. This book was released on 2018-05-01 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leaders, teams and organisational consultants are faced with a situation of permanent transitions. The current world of organisations is full of beginnings and incomplete endings. The author assumes that the endless re-structuring of living networks of relationships in organisations generates, over time, post-traumatic stress disorder in individuals, groups and the whole system. The book deals with the paradox that continuity is the most important factor in change and that leadership alone solves very little. Even the most heroic figure flounders without the help of the various groups in the organisation, which make things work. The author reflects on his practice of developing teams, professionals and organisations with an approach rooted in group analysis and social anthropology. The dominant way of looking at performance, motivation and leadership focuses on individuals and fails to take into account how we work together, how we fail to co-operate and how inter-dependent we are.
Download or read book Theory of Lattice Ordered Groups written by Michael Darnel and published by CRC Press. This book was released on 1994-11-15 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a thorough discussion of the orderability of a group. The book details the major developments in the theory of lattice-ordered groups, delineating standard approaches to structural and permutation representations. A radically new presentation of the theory of varieties of lattice-ordered groups is offered.;This work is intended for pure and applied mathematicians and algebraists interested in topics such as group, order, number and lattice theory, universal algebra, and representation theory; and upper-level undergraduate and graduate students in these disciplines.;College or university bookstores may order five or more copies at a special student price which is available from Marcel Dekker Inc, upon request.
Download or read book Statistics for Political Analysis written by Theresa Marchant-Shapiro and published by CQ Press. This book was released on 2014-01-15 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistics are just as vital to understanding political science as the study of institutions, but getting students to understand them when teaching a methods course can be a big challenge. Statistics for Political Analysis makes understanding the numbers easy. The only introduction to statistics book written specifically for political science undergraduates, this book explains each statistical concept in plain language—from basic univariate statistics and the basic measures of association to bivariate and multivariate regression—and uses real world political examples. Students learn the relevance of statistics to political science, how to understand and calculate statistics mathematically, and how to obtain them using SPSS. All calculations are modeled step-by-step, giving students needed practice to master the process without making it intimidating. Each chapter concludes with exercises that get students actively applying the steps and building their professional skills through data calculation, analysis, and memo writing.
Download or read book Group Analysis written by Sigmund Karterud and published by Taylor & Francis. This book was released on 2024-04-11 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: Group Analysis outlines how clinical group analysis can re-establish itself as a leading paradigm for group psychotherapy. Sigmund Karterud explains how the focus of group analysis and its applications can be expanded by stronger emphasis on the philosophy and psychology of the self. The book is divided into four parts, with part one reconsidering the historical roots of group analysis through its founder S. H. Foulkes and part two demonstrating how the fields of evolution, primary emotions, attachment, mentalizing, personality theory and personality disorders can be integrated with group analysis. Part three develops a philosophy of the self that includes a group self which accounts for the we-ness of groups, and part four illustrates how these concepts can inform the practice of group analysis through a series of clinical vignettes addressing the major challenges which face the clinician. Group Analysis: A Modern Synthesis will be essential reading for all group psychotherapists in practice and in training. It will also appeal to students of group analytic psychotherapy.
