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.
Автор: V.I. Bogachev; O.G. Smolyanov Название: Topological Vector Spaces and Their Applications ISBN: 3319571168 ISBN-13(EAN): 9783319571164 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book gives a compact exposition of the fundamentals of the theory of locally convex topological vector spaces. Overall, this book develops differential and integral calculus on infinite-dimensional locally convex spaces by using methods and techniques of the theory of locally convex spaces.
Автор: Zhitao Zhang Название: Variational, Topological, and Partial Order Methods with Their Applications ISBN: 3642427154 ISBN-13(EAN): 9783642427152 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Covering leading-edge research, and with a focus on new developments in non-linear functional analysis, this is a vital addition to the literature that details theory as well as applications, providing relevant academics with a trusty guide to the field.
Автор: Dumitru Motreanu; Viorica Venera Motreanu; Nikolao Название: Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems ISBN: 1493944746 ISBN-13(EAN): 9781493944743 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: With parallel treatment of smooth and non-smooth problems, this text on non-linear boundary value problems and related analysis has new material on Neumann problems involving non-homogeneous differential operators, seen here for the first time in book form.
Автор: Taqdir Husain; Taqdir Husain Название: The Open Mapping and Closed Graph Theorems in Topological Vector Spaces ISBN: 3322960773 ISBN-13(EAN): 9783322960771 Издательство: Springer Рейтинг: Цена: 81050.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: THE main purpose of writing this monograph is to give a picture of the progress made in recent years in understanding three of the deepest results of Functional Analysis-namely, the open-mapping and closed- graph theorems, and the so-called Krein-~mulian theorem.
Автор: Wojciech Banaszczyk Название: Additive Subgroups of Topological Vector Spaces ISBN: 3540539174 ISBN-13(EAN): 9783540539179 Издательство: Springer Рейтинг: Цена: 23250.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This monograph, written in the language of functional analysis, presents in a systematic fashion the Pontryagin-van Kampen duality theorem and the Bochner theorem on positive-definite functions that are known to be true for certain abelian topological groups.
Автор: Ferenc Weisz Название: Martingale Hardy Spaces and their Applications in Fourier Analysis ISBN: 3540576231 ISBN-13(EAN): 9783540576235 Издательство: Springer Рейтинг: Цена: 37220.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This monograph deals with the theory of one-and two-parameter martingale Hardy spaces and their use in Fourier analysis. The atomic decomposition method is applied to both theories, and a new proof of Carleson`s convergence result, using martingale methods, is provided.
Автор: Glenys Luke; Alexander S. Mishchenko Название: Vector Bundles and Their Applications ISBN: 1441948023 ISBN-13(EAN): 9781441948021 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: In the last few years the use of geometrie methods has permeated many more branehes of mathematies and the seiences. Briefly its role may be eharaeterized as folIows. Whereas methods of mathematieal analysis deseribe phenomena 'in the sm all " geometrie methods eontribute to giving the picture 'in the large'. A seeond no less important property of geometrie methods is the eonvenienee of using its language to deseribe and give qualitative explanations for diverse mathematieal phenomena and patterns. From this point of view, the theory of veetor bundles together with mathematieal analysis on manifolds (global anal- ysis and differential geometry) has provided a major stimulus. Its language turned out to be extremely fruitful: connections on prineipal veetor bundles (in terms of whieh various field theories are deseribed), transformation groups including the various symmetry groups that arise in eonneetion with physieal problems, in asymptotie methods of partial differential equations with small parameter, in elliptie operator theory, in mathematieal methods of classieal meehanies and in mathematieal methods in eeonomies. There are other eur- rently less signifieant applieations in other fields. Over a similar period, uni- versity edueation has ehanged eonsiderably with the appearanee of new courses on differential geometry and topology. New textbooks have been published but 'geometry and topology' has not, in our opinion, been wen eovered from a prae- tieal applieations point of view.
Автор: Ben Amar Afif, O`Regan Donal Название: Topological Fixed Point Theory for Singlevalued and Multivalued Mappings and Applications ISBN: 3319811622 ISBN-13(EAN): 9783319811628 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Basic Concepts.- Nonlinear Eigenvalue Problems in Dunford-Pettis Spaces.- Fixed Point Theory in Locally Convex Spaces.- Fixed Points for Maps with Weakly Sequentially-Closed.- Fixed Point Theory in Banach Algebras.- Fixed Point Theory for (ws)-Compact Operators.- Approximate Fixed Point Theorems in Banach Spaces.
Автор: Voigt Jьrgen Название: A Course on Topological Vector Spaces ISBN: 3030329445 ISBN-13(EAN): 9783030329440 Издательство: Springer Рейтинг: Цена: 35390.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
This book provides an introduction to the theory of topological vector spaces, with a focus on locally convex spaces. It discusses topologies in dual pairs, culminating in the Mackey-Arens theorem, and also examines the properties of the weak topology on Banach spaces, for instance Banach's theorem on weak*-closed subspaces on the dual of a Banach space (alias the Krein-Smulian theorem), the Eberlein-Smulian theorem, Krein's theorem on the closed convex hull of weakly compact sets in a Banach space, and the Dunford-Pettis theorem characterising weak compactness in L1-spaces. Lastly, it addresses topics such as the locally convex final topology, with the application to test functions D(Ω) and the space of distributions, and the Krein-Milman theorem.
The book adopts an "economic" approach to interesting topics, and avoids exploring all the arising side topics. Written in a concise mathematical style, it is intended primarily for advanced graduate students with a background in elementary functional analysis, but is also useful as a reference text for established mathematicians.
Автор: Sidi, Avram Название: Vector extrapolation methods with applications ISBN: 161197495X ISBN-13(EAN): 9781611974959 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 107190.00 T Наличие на складе: Невозможна поставка. Описание: The first book fully dedicated to the subject of vector extrapolation methods. It is a self-contained, up-to-date, and state-of-the-art reference on the theory and practice of the most useful methods. It covers all aspects of the subject, including development of the methods, their convergence study, numerically stable algorithms for their implementation, and their various applications.
Автор: Anders Hald Название: A History of Probability and Statistics and Their Applications before 1750 ISBN: 0471471291 ISBN-13(EAN): 9780471471295 Издательство: Wiley Рейтинг: Цена: 152010.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Statistics have helped shape every area of science. Without the means to analyze critical data, none of the great disoveries of the past would be possible. This paperback reprint of a Wiley bestseller shows the development of these data analysis tools and the manner in which they aided technological development prior to 1750.
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