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This book is for all those who are looking for a non-conventional mathematical model of electrical network systems. It presents a modern approach using linear algebra and derives various commonly unknown quantities and interrelations of network analysis. It also explores some applications of algebraic network model of and solves some examples of previously unsolved network problems in planning and operation of network systems. Complex mathematical aspects are illustrated and described in a way that is understandable for non-mathematicians. Discussing interesting concepts and practically useful methods of network analysis, it is a valuable resource for lecturers, students, engineers
The book, now in its Second Edition, presents the concepts of electrical circuits with easy-to-understand approach based on classroom experience of the authors. It deals with the fundamentals of electric circuits, their components and the mathematical tools used to represent and analyze electrical circuits. This text guides students to analyze and build simple electric circuits. The presentation is very simple to facilitate self-study to the students. A better way to understand the various aspects of electrical circuits is to solve many problems. Keeping this in mind, a large number of solved and unsolved problems have been included. The chapters are arranged logically in a proper sequence so that successive topics build upon earlier topics. Each chapter is supported with necessary illustrations. It serves as a textbook for undergraduate engineering students of multiple disciplines for a course on ‘circuit theory’ or ‘electrical circuit analysis’ offered by major technical universities across the country. SALIENT FEATURES • Difficult topics such as transients, network theorems, two-port networks are presented in a simple manner with numerous examples. • Short questions with answers are provided at the end of every chapter to help the students to understand the basic laws and theorems. • Annotations are given at appropriate places to ensure that the students get the gist of the subject matter clearly. NEW TO THE SECOND EDITION • Incorporates several new solved examples for better understanding of the subject • Includes objective type questions with answers at the end of the chapters • Provides an appendix on ‘Laplace Transforms’
This book chronicles the Society's activities over fifty years, as membership grew, as publications became more numerous and diverse, as the number of meetings and conferences increased, and as services to the mathematical community expanded. To download free chapters of this book, click here.
I3E 2009 was held in Nancy, France, during September 23–25, hosted by Nancy University and INRIA Grand-Est at LORIA. The conference provided scientists andpractitionersofacademia,industryandgovernmentwithaforumwherethey presented their latest ?ndings concerning application of e-business, e-services and e-society, and the underlying technology to support these applications. The 9th IFIP Conference on e-Business, e-Services and e-Society, sponsored by IFIP WG 6.1. of Technical Committees TC6 in cooperation with TC11, and TC8 represents the continuation of previous events held in Zurich (Switzerland) in 2001, Lisbon (Portugal) in 2002, Sao Paulo (Brazil) in 2003, Toulouse (France) in 2004, Poznan (Poland) in 2005, Turku (Finland) in 2006, Wuhan (China) in 2007 and Tokyo (Japan) in 2008. The call for papers attracted papers from 31 countries from the ?ve con- nents. As a result, the I3E 2009 programo?ered 12 sessions of full-paper pres- tations. The 31 selected papers cover a wide and important variety of issues in e-Business,e-servicesande-society,including security,trust,andprivacy,ethical and societal issues, business organization, provision of services as software and software as services, and others. Extended versions of selected papers submitted to I3E 2009 will be published in the International Journal of e-Adoption and in AIS Transactions on Enterprise Systems. In addition, a 500-euros prize was awarded to the authors of the best paper selected by the Program Comm- tee. We thank all authors who submitted their papers, the Program Committee members and external reviewers for their excellent work.
This work is aimed at mathematics and engineering graduate students and researchers in the areas of optimization, dynamical systems, control sys tems, signal processing, and linear algebra. The motivation for the results developed here arises from advanced engineering applications and the emer gence of highly parallel computing machines for tackling such applications. The problems solved are those of linear algebra and linear systems the ory, and include such topics as diagonalizing a symmetric matrix, singular value decomposition, balanced realizations, linear programming, sensitivity minimization, and eigenvalue assignment by feedback control. The tools are those, not only of linear algebra and systems theory, but also of differential geometry. The problems are solved via dynamical sys tems implementation, either in continuous time or discrete time , which is ideally suited to distributed parallel processing. The problems tackled are indirectly or directly concerned with dynamical systems themselves, so there is feedback in that dynamical systems are used to understand and optimize dynamical systems. One key to the new research results has been the recent discovery of rather deep existence and uniqueness results for the solution of certain matrix least squares optimization problems in geomet ric invariant theory. These problems, as well as many other optimization problems arising in linear algebra and systems theory, do not always admit solutions which can be found by algebraic methods.
This volume provides a general picture of the current trends in the area of automatic control, with particular emphasis on practical problems in the mechanical field. For this reason, besides theoretical contributions, it presents selected lectures on recent developments interesting from an industrial point of view, such as automotive, robotics, motion control, and electrical drives./a
People in all walks of life--and perhaps mathematicians especially--delight in working on problems for the sheer pleasure of meeting a challenge. The problem section of SIAM Review has always provided such a challenge for mathematicians. The section was started to offer classroom instructors and their students as well as other interested problemists, a set of problems--solved or unsolved-- illustrating various applications of mathematics. In many cases the unsolved problems were eventually solved. Problems in Applied Mathematics is a compilation of 380 of SIAM Review's most interesting problems dating back to the journal's inception in 1959. The problems are classified into 22 broad categories including Series, Special Functions, Integrals, Polynomials, Probability, Combinatorics, Matrices and Determinants, Optimization, Inequalities, Ordinary Differential Equations, Boundary Value Problems, Asymptotics and Approximations, Mechanics, Graph Theory, and Geometry.