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: Watrous, John (university Of Waterloo, Ontario) Название: The theory of quantum information ISBN: 1107180562 ISBN-13(EAN): 9781107180567 Издательство: Cambridge Academ Рейтинг: Цена: 11563.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Intended for graduate students and researchers, this book presents a formal development of the mathematical theory of quantum information. Largely self-contained, with clear proofs and a wide range of exercises, it will help the reader grasp the fundamental facts and techniques that form the mathematical foundations of the subject.
Автор: Amari Shun-ichi Название: Information Geometry and its Applications ISBN: 4431559779 ISBN-13(EAN): 9784431559771 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is the first comprehensive book on information geometry, written by the founder of the field. An intuitive explanation of modern differential geometry then follows in Part II, although the book is for the most part understandable without modern differential geometry.
Описание: The book gathers contributions from the fourth conference on Information Geometry and its Applications, which was held on June 12–17, 2016, at Liblice Castle, Czech Republic on the occasion of Shun-ichi Amari’s 80th birthday and was organized by the Czech Academy of Sciences’ Institute of Information Theory and Automation. The conference received valuable financial support from the Max Planck Institute for Mathematics in the Sciences (Information Theory of Cognitive Systems Group), Czech Academy of Sciences’ Institute of Information Theory and Automation, and Universit? degli Studi di Roma Tor Vergata. The aim of the conference was to highlight recent advances in the field of information geometry and to identify new research directions. To this end, the event brought together leading experts in the field who, in invited talks and poster sessions, discussed both theoretical work and achievements in the many fields of application in which information geometry plays an essential role.
Описание: Overview of the work of Kumar Murty (A. Akbary, S. Gun, M. Ram Murty).- On the average value of a function of the residual index (A. Akbary, A. T. Felix).- Applications of the square sieve to a conjecture of Lang and Trotter for a pair of elliptic curves over the rationals (S. Baier, V. M. Patankar).- $R$-group and multiplicity in restriction for unitary principal series of $GSpin$ and $Spin$ (D. Ban, K. Choiy, D. Goldberg).- The $2$-Class Tower of $\mathbb{Q}(\sqrt{-5460})$ (N. Boston, J. Wang).- On the bad reduction of certain $U(2,1)$ Shimura varieties (E. de Shalit, E. Goren).- Density modulo 1 of a sequence associated to a multiplicative function evaluated at polynomial arguments (J.-M. Deshouillers, M. Nasiri-Zare).- Uniqueness Results for a class of $L$-functions (A. Dixit).- Quadratic periods of meromorphic forms on punctured Riemann surfaces (P. Eskandari).- On the local coefficients matrix for coverings of $\SL_2$ (F. Gao, F. Shahidi, D. Szpruch).- Eisenstein series of weight one, $q$-averages of $0$-logarithm and periods of elliptic curves (D. R. Grayson, D. Ramakrishnan).- On zeros of certain cusp Forms of integral weight for full modular group (M. Manickam, Sandeep E. M.).- A note on Burgess bound (R. Munshi).- A smooth Selberg sieve and applications (M. Ram Murty, A. Vatwani).- Explicit arithmetic on abelian varieties (V. Kumar Murty, P. Sastry).- Derived categories of moduli spaces of vector bundles on curves II (M. S. Narasimhan).- Representations of an integer by some quaternary and octonary quadratic forms (B. Ramakrishnan, B. Sahu, A. K. Singh).- A topological realization of the congruence subgroup kernel (J. Scherk).- Fine Selmer groups and isogeny invariance (R. Sujatha, M. Witte).- Distribution of a subset of non-residues modulo $p$ (by R. Thangadurai, V. Kumar).- On solving a generalized Chinese remainder theorem in the presence of remainder errors (G. Xu).- Endomorphism algebras of abelian varieties with special reference to superelliptic Jacobians Y. G. Zarhin).
Описание: This volume contains proceedings of two conferences held in Toronto (Canada) and Kozhikode (India) in 2016 in honor of the 60th birthday of Professor Kumar Murty. The meetings were focused on several aspects of number theory: The theory of automorphic forms and their associated L-functions Arithmetic geometry, with special emphasis on algebraic cycles, Shimura varieties, and explicit methods in the theory of abelian varieties The emerging applications of number theory in information technology Kumar Murty has been a substantial influence in these topics, and the two conferences were aimed at honoring his many contributions to number theory, arithmetic geometry, and information technology.
Описание: Providing an introduction to mathematical aspects of quantum information and open systems, this volume provides a unique combination of applications to bio- and nano-systems. Readers will find a new paradigm for quantum computation, as well as introductory treatment of functional analysis.
Автор: Dubrovin Название: Modern Geometry - Methods and Applications ISBN: 0387976639 ISBN-13(EAN): 9780387976631 Издательство: Springer Рейтинг: Цена: 8378.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: First volume of a three-volume introduction to modern geometry, with emphasis on applications to other areas of mathematics and theoretical physics. Topics covered include tensors and their differential calculus, the calculus of variations in one and several dimensions, and geometric field theory.
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