A brand new, fully updated edition of a popular classic on matrix differential calculus with applications in statistics and econometrics
This exhaustive, self-contained book on matrix theory and matrix differential calculus provides a treatment of matrix calculus based on differentials and shows how easy it is to use this theory once you have mastered the technique. Jan Magnus, who, along with the late Heinz Neudecker, pioneered the theory, develops it further in this new edition and provides many examples along the way to support it.
Matrix calculus has become an essential tool for quantitative methods in a large number of applications, ranging from social and behavioral sciences to econometrics. It is still relevant and used today in a wide range of subjects such as the biosciences and psychology. Matrix Differential Calculus with Applications in Statistics and Econometrics, Third Edition contains all of the essentials of multivariable calculus with an emphasis on the use of differentials. It starts by presenting a concise, yet thorough overview of matrix algebra, then goes on to develop the theory of differentials. The rest of the text combines the theory and application of matrix differential calculus, providing the practitioner and researcher with both a quick review and a detailed reference.
Fulfills the need for an updated and unified treatment of matrix differential calculus
Contains many new examples and exercises based on questions asked of the author over the years
Covers new developments in field and features new applications
Written by a leading expert and pioneer of the theory
Part of the Wiley Series in Probability and Statistics
Matrix Differential Calculus With Applications in Statistics and Econometrics Third Edition is an ideal text for graduate students and academics studying the subject, as well as for postgraduates and specialists working in biosciences and psychology.
Описание: This book applies generalized fractional differentiation techniques of Caputo, Canavati and Conformable types to a great variety of integral inequalities e.g. The second part of the book deals with the quantitative fractional Korovkin type approximation of stochastic processes and lays there the foundations of stochastic fractional calculus.
Описание: This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations.
Автор: Dumitru Baleanu and Antonio Mendes Lopes Название: Handbook of Fractional Calculus with Applications ISBN: 3110570920 ISBN-13(EAN): 9783110570922 Издательство: Walter de Gruyter Рейтинг: Цена: 22439.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This eighth volume collects authoritative chapters covering several applications of fractional calculus in engineering, life and social sciences, including applications in signal and image analysis, and chaos.
Автор: Francesca Biagini; Yaozhong Hu; Bernt ?ksendal; Tu Название: Stochastic Calculus for Fractional Brownian Motion and Applications ISBN: 1849969949 ISBN-13(EAN): 9781849969949 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The purpose of this book is to present a comprehensive account of the different definitions of stochastic integration for fBm, and to give applications of the resulting theory.
Автор: Rudolf Hilfer; World Scientific Название: Applications of fractional calculus in physics / ISBN: 9810234570 ISBN-13(EAN): 9789810234577 Издательство: World Scientific Publishing Рейтинг: Цена: 23602.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume provides an introduction to fractional calculus for physicists. It collects easily accessible review articles surveying those areas of physics in which applications of fractional calculus have recently become prominent.
Описание: In this short monograph Newton-likeand other similar numerical methods with applications to solving multivariateequations are developed, which involve Caputotype fractional mixed partial derivatives and multivariate fractional Riemann-Liouvilleintegral operators.
Описание: Partial differential equations are one of the most used widely forms of mathematics in science and engineering. Two fractional PDEs can be considered, fractional in time, and fractional in space. This volume is directed to the development and use of SFPDEs, providing a discussion of applications from classical integer PDEs.
Автор: Paterson Gerald Название: Fractional Calculus: Theory and Applications ISBN: 1632386321 ISBN-13(EAN): 9781632386328 Издательство: Неизвестно Рейтинг: Цена: 23496.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Presenting system dynamics as a powerful approach to build simulation models of social systems to aid decision making, this book is grounded in the feedback perspective of complex systems and introduces key concepts such as stocks, flows and feedback. The R programming language provides an open-source and interoperable way to build models.
Автор: Dumitru Baleanu; Ziya B. Guvenc; J.A. Tenreiro Mac Название: New Trends in Nanotechnology and Fractional Calculus Applications ISBN: 9048132924 ISBN-13(EAN): 9789048132928 Издательство: Springer Рейтинг: Цена: 30039.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In recent years, fractional calculus has played a major role in various fields such as mechanics, electricity, biology and economics. This book presents the state-of-the-art in the study of fractional systems and the application of fractional differentiation.
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