In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression.

Theory of Difference Equations:
Numerical Methods and Applications,Volume 181

Science & Math

Lakshmikantham, V.

Trigiante, Donato

Mathematics

Elsevier Science

Nonlinear Phenomena in Mathematical Sciences

Academic Pr

Theory of Fuzzy Differential Equations and Inclusions (Mathematical Analysis and Applications)

Fuzzy differential functions are applicable to real-world problems in engineering, computer science, and social science. That relevance makes for rapid development of new ideas and theories. This volume is a timely introduction to the subject that describes the current state of the theory of fuzzy differential equations and inclusions and provides a systematic account of recent developments. The chapters are presented in a clear and logical way and include the preliminary material for fuzzy set theory; a description of calculus for fuzzy functions, an investigation of the basic theory of fuzzy differential equations, and an introduction to fuzzy differential inclusions.

Mohapatra, Ram N.

CRC-Press

A monotone iterative technique is used to obtain monotone approximate solutions that converge to the solution of nonlinear problems of partial differential equations of elliptic, parabolic and hyperbolic type. This volume describes that technique, which has played a valuable role in unifying a variety of nonlinear problems, particularly when combined with the quasilinearization method. The first part of this monograph describes the general methodology using the classic approach, while the second part develops the same basic ideas via the variational technique. The text provides a useful and timely reference for applied scientists, engineers and numerical analysts.

Monotone Flows and Rapid Convergence for Nonlinear Partial Differential Equations (Mathematical Analysis and Applications)

Koksal, S.

Method of Variation of Parameters for Dynamic Systems (Mathematical Analysis and Applications)

Routledge

Continuing the War Against Domestic Violence

Anyone can become a victim of domestic violence. As such, it is essential for all of us to continue the war against domestic violence. Supplying a comprehensive overview of domestic violence across racial/ethnic groups, the new edition of this popular reference explores topics rarely discussed in other domestic violence texts as well as the barriers that often discourage victims from reporting abuse. Continuing the War Against Domestic Violence, Second Edition provides readers with the benefit of varied perspectives from both academics and professionals. It outlines prosecution and defense strategies and supplies a balanced critique of mandatory arrest policies. This fully revised edition supplies new coverage of the problems often encountered when victims seek police help. It includes three new chapters on dating violence, religion and domestic violence, and historical interventions in response to domestic violence. In part I readers will gain an understanding of the salient issues unique to certain racial/ethnic/cultural groups. Part II offers a unique and rare insight into the correlates, causes, and contextual properties of domestic violence. Part III, which constitutes the substance of this book, explains how criminal justice systems―through their policies, procedures, and operations―respond to domestic violence. Following in the tradition of the first edition, this book devotes considerable attention to the experiences and perspectives of criminal and social justice practitioners alongside researchers, child welfare workers, and other renowned scholars across disciplines. Offering comprehensive and interdisciplinary coverage of key topics that benefit a diverse audience, the book concludes by offering a unique perspective on punishing and rehabilitating offenders.

Politics & Social Sciences

Social Sciences

Fuzzy differential functions are applicable to real-world problems in engineering, computer science, and social science. That relevance makes for rapid development of new ideas and theories. This volume is a timely introduction to the subject that describes the current state of the theory of fuzzy differential equations and inclusions and provides a systematic account of recent developments. The chapters are presented in a clear and logical way and include the preliminary material for fuzzy set theory; a description of calculus for fuzzy functions, an investigation of the basic theory of fuzzy differential equations, and an introduction to fuzzy differential inclusions.

Casting aside the usual Eurocentric theories about the origins of mathematics, the authors investigate Vedic texts which originated in ancient India. Aryabhatta, Sulvastrus, and Bhaskaracharya are among the Sanskrit-speaking theoreticians, whose astronomical works contributed to the ancient body of mathematics, preceding the Greeks. This book deals with some of the chronological difficulties in tracing the history of mathematics, as well as the reasons for the decay in the ancient Vedic civilization.

The Origins of Mathematics

Leela, S.

Philosophy

University Press of America

Casting aside the usual Eurocentric theories about the origins of mathematics, the authors investigate Vedic texts which originated in ancient India. Aryabhatta, Sulvastrus, and Bhaskaracharya are among the Sanskrit-speaking theoreticians, whose astronomical works contributed to the ancient body of mathematics, preceding the Greeks. This book deals with some of the chronological difficulties in tracing the history of mathematics, as well as the reasons for the decay in the ancient Vedic civilization.

The Origin of Mathematics

See the best price to sell, buy, or rent books by Lakshmikantham, V.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Lakshmikantham, V.

See the best price to sell, buy, or rent books by Lakshmikantham, V.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Theory of Difference Equations: Numerical Methods and Applications,Volume 181

Nonlinear Phenomena in Mathematical Sciences

Theory of Fuzzy Differential Equations and Inclusions (Mathematical Analysis and Applications)

Monotone Flows and Rapid Convergence for Nonlinear Partial Differential Equations (Mathematical Analysis and Applications)

Method of Variation of Parameters for Dynamic Systems (Mathematical Analysis and Applications)

Continuing the War Against Domestic Violence

Theory of Fuzzy Differential Equations and Inclusions (Mathematical Analysis and Applications)

Monotone Flows and Rapid Convergence for Nonlinear Partial Differential Equations (Mathematical Analysis and Applications)

The Origins of Mathematics

The Origin of Mathematics