Random Matrices

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Publisher : Elsevier
ISBN 13 : 008047411X
Total Pages : 707 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Random Matrices by : Madan Lal Mehta

Download or read book Random Matrices written by Madan Lal Mehta and published by Elsevier. This book was released on 2004-10-06 with total page 707 pages. Available in PDF, EPUB and Kindle. Book excerpt: Random Matrices gives a coherent and detailed description of analytical methods devised to study random matrices. These methods are critical to the understanding of various fields in in mathematics and mathematical physics, such as nuclear excitations, ultrasonic resonances of structural materials, chaotic systems, the zeros of the Riemann and other zeta functions. More generally they apply to the characteristic energies of any sufficiently complicated system and which have found, since the publication of the second edition, many new applications in active research areas such as quantum gravity, traffic and communications networks or stock movement in the financial markets. This revised and enlarged third edition reflects the latest developements in the field and convey a greater experience with results previously formulated. For example, the theory of skew-orthogoanl and bi-orthogonal polynomials, parallel to that of the widely known and used orthogonal polynomials, is explained here for the first time. - Presentation of many new results in one place for the first time - First time coverage of skew-orthogonal and bi-orthogonal polynomials and their use in the evaluation of some multiple integrals - Fredholm determinants and Painlevé equations - The three Gaussian ensembles (unitary, orthogonal, and symplectic); their n-point correlations, spacing probabilities - Fredholm determinants and inverse scattering theory - Probability densities of random determinants

Measures and Probabilities

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Publisher : Springer Science & Business Media
ISBN 13 : 9780387946443
Total Pages : 530 pages
Book Rating : 4.9/5 (464 download)

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Book Synopsis Measures and Probabilities by : Michel Simonnet

Download or read book Measures and Probabilities written by Michel Simonnet and published by Springer Science & Business Media. This book was released on 1996-06-06 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integration theory holds a prime position, whether in pure mathematics or in various fields of applied mathematics. It plays a central role in analysis; it is the basis of probability theory and provides an indispensable tool in mathe matical physics, in particular in quantum mechanics and statistical mechanics. Therefore, many textbooks devoted to integration theory are already avail able. The present book by Michel Simonnet differs from the previous texts in many respects, and, for that reason, it is to be particularly recommended. When dealing with integration theory, some authors choose, as a starting point, the notion of a measure on a family of subsets of a set; this approach is especially well suited to applications in probability theory. Other authors prefer to start with the notion of Radon measure (a continuous linear func tional on the space of continuous functions with compact support on a locally compact space) because it plays an important role in analysis and prepares for the study of distribution theory. Starting off with the notion of Daniell measure, Mr. Simonnet provides a unified treatment of these two approaches.

Matrix Analysis and Computations

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Publisher : SIAM
ISBN 13 : 1611976634
Total Pages : 496 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Matrix Analysis and Computations by : Zhong-Zhi Bai

Download or read book Matrix Analysis and Computations written by Zhong-Zhi Bai and published by SIAM. This book was released on 2021-09-09 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive book is presented in two parts; the first part introduces the basics of matrix analysis necessary for matrix computations, and the second part presents representative methods and the corresponding theories in matrix computations. Among the key features of the book are the extensive exercises at the end of each chapter. Matrix Analysis and Computations provides readers with the matrix theory necessary for matrix computations, especially for direct and iterative methods for solving systems of linear equations. It includes systematic methods and rigorous theory on matrix splitting iteration methods and Krylov subspace iteration methods, as well as current results on preconditioning and iterative methods for solving standard and generalized saddle-point linear systems. This book can be used as a textbook for graduate students as well as a self-study tool and reference for researchers and engineers interested in matrix analysis and matrix computations. It is appropriate for courses in numerical analysis, numerical optimization, data science, and approximation theory, among other topics

Lectures on the Calculus of Variations and Optimal Control Theory

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Publisher : American Mathematical Society
ISBN 13 : 1470479001
Total Pages : 353 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Lectures on the Calculus of Variations and Optimal Control Theory by : L. C. Young

Download or read book Lectures on the Calculus of Variations and Optimal Control Theory written by L. C. Young and published by American Mathematical Society. This book was released on 2024-10-30 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is divided into two parts. The first addresses the simpler variational problems in parametric and nonparametric form. The second covers extensions to optimal control theory. The author opens with the study of three classical problems whose solutions led to the theory of calculus of variations. They are the problem of geodesics, the brachistochrone, and the minimal surface of revolution. He gives a detailed discussion of the Hamilton-Jacobi theory, both in the parametric and nonparametric forms. This leads to the development of sufficiency theories describing properties of minimizing extremal arcs. Next, the author addresses existence theorems. He first develops Hilbert's basic existence theorem for parametric problems and studies some of its consequences. Finally, he develops the theory of generalized curves and ?automatic? existence theorems. In the second part of the book, the author discusses optimal control problems. He notes that originally these problems were formulated as problems of Lagrange and Mayer in terms of differential constraints. In the control formulation, these constraints are expressed in a more convenient form in terms of control functions. After pointing out the new phenomenon that may arise, namely, the lack of controllability, the author develops the maximum principle and illustrates this principle by standard examples that show the switching phenomena that may occur. He extends the theory of geodesic coverings to optimal control problems. Finally, he extends the problem to generalized optimal control problems and obtains the corresponding existence theorems.

Radiative Transfer

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Publisher : Springer Nature
ISBN 13 : 3030952479
Total Pages : 611 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Radiative Transfer by : Hélène Frisch

Download or read book Radiative Transfer written by Hélène Frisch and published by Springer Nature. This book was released on 2022-05-26 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses analytic and asymptotic methods relevant to radiative transfer in dilute media, such as stellar and planetary atmospheres. Several methods, providing exact expressions for the radiation field in a semi-infinite atmosphere, are described in detail and applied to unpolarized and polarized continuous spectra and spectral lines. Among these methods, the Wiener–Hopf method, introduced in 1931 for a stellar atmospheric problem, is used today in fields such as solid mechanics, diffraction theory, or mathematical finance. Asymptotic analyses are carried out on unpolarized and polarized radiative transfer equations and on a discrete time random walk. Applicable when photons undergo a large number of scatterings, they provide criteria to distinguish between large-scale diffusive and non-diffusive behaviors, typical scales of variation of the radiation field, such as the thermalization length, and specific descriptions for regions close and far from boundaries. Its well organized synthetic view of exact and asymptotic methods of radiative transfer makes this book a valuable resource for both graduate students and professional scientists in astrophysics and beyond.

The Semantic Web Explained

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Publisher : Cambridge University Press
ISBN 13 : 1139991523
Total Pages : 481 pages
Book Rating : 4.1/5 (399 download)

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Book Synopsis The Semantic Web Explained by : Péter Szeredi

Download or read book The Semantic Web Explained written by Péter Szeredi and published by Cambridge University Press. This book was released on 2014-09-11 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Semantic Web is a new area of research and development in the field of computer science that aims to make it easier for computers to process the huge amount of information on the web, and indeed other large databases, by enabling them not only to read, but also to understand the information. Based on successful courses taught by the authors, and liberally sprinkled with examples and exercises, this comprehensive textbook describes not only the theoretical issues underlying the Semantic Web, but also algorithms, optimisation ideas and implementation details. The book will therefore be valuable to practitioners as well as students, indeed to anyone who is interested in Internet technology, knowledge engineering or description logics. Supplementary materials available online include the source code of program examples and solutions to selected exercises.

Harmonic Measure

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Publisher : Cambridge University Press
ISBN 13 : 9780521470186
Total Pages : 608 pages
Book Rating : 4.4/5 (71 download)

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Book Synopsis Harmonic Measure by : John B. Garnett

Download or read book Harmonic Measure written by John B. Garnett and published by Cambridge University Press. This book was released on 2005-04-04 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to harmonic measure on plane domains and careful discussion of the work of Makarov, Carleson, Jones and others.

Polymers at Interfaces

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Publisher : Springer Science & Business Media
ISBN 13 : 9780412581601
Total Pages : 524 pages
Book Rating : 4.5/5 (816 download)

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Book Synopsis Polymers at Interfaces by : Gerard Fleer

Download or read book Polymers at Interfaces written by Gerard Fleer and published by Springer Science & Business Media. This book was released on 1993-09-30 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with the configuration of polymers at the interfacial zone between two other phases or immiscible components. In recent years, developments in technology combined with increased attention from specialists in a wide range of fields have resulted in a considerable increase in our understanding of the behavior of polymers at interfaces. Inevitably these advances have generated a wealth of literature and although there have been numerous reviews, a critical treatment with adequate descriptions of both theory and experiment, including detailed analysis of the two, has been missing. This text hopes to fill this gap, providing a timely and comprehensive account of the field as it stands today. This long needed work will be invaluable to experts as well as newcomers in the broad field of polymers, interfaces and colloids, both in industry and academia. Whilst industrial laboratories involved in this field will find it indispensable, it will be equally important to anyone with an interest in interfacial polymer or colloidal research.

Applied Multiregional Demography Through Problems

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Publisher : Springer Nature
ISBN 13 : 303038215X
Total Pages : 162 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Applied Multiregional Demography Through Problems by : Andrei Rogers

Download or read book Applied Multiregional Demography Through Problems written by Andrei Rogers and published by Springer Nature. This book was released on 2020-03-17 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by the 2018 Mindel C. Sheps Award winner, this textbook offers a unique method for teaching how to model spatial (multiregional) population dynamics through models of increasing complexity. Each chapter in this programmed workbook starts with a descriptive text, followed by a sequence of exercises focused on particular multiregional models, of increasing complexity, and then ends with the solutions. It extends the current developments in the spatial analysis of social data towards improving our understanding of dynamics and interacting change across multiple populations in space. Frameworks for analyzing such dynamics were first proposed in multiregional demography, over 40 years ago. This book revisits these methods and then illustrates how they may be used to analyze spatial data and study spatial population dynamics. Topics covered include spatial population dynamics, population projections and estimations, spatial and age structure of migration flows and much more. As such this innovative textbook is a great teaching and learning tool for teachers, students as well as individuals who want to study demographic processes across space.

Self-dual Partial Differential Systems and Their Variational Principles

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Publisher : Springer Science & Business Media
ISBN 13 : 0387848967
Total Pages : 352 pages
Book Rating : 4.3/5 (878 download)

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Book Synopsis Self-dual Partial Differential Systems and Their Variational Principles by : Nassif Ghoussoub

Download or read book Self-dual Partial Differential Systems and Their Variational Principles written by Nassif Ghoussoub and published by Springer Science & Business Media. This book was released on 2008-11-11 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is intended for a beginning graduate course on convexity methods for PDEs. The generality chosen by the author puts this under the classification of "functional analysis". The book contains new results and plenty of examples and exercises.

Optimization and Applications

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Publisher : Springer Nature
ISBN 13 : 3031225430
Total Pages : 260 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Optimization and Applications by : Nicholas Olenev

Download or read book Optimization and Applications written by Nicholas Olenev and published by Springer Nature. This book was released on 2023-01-02 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 13th International Conference on Optimization and Applications, OPTIMA 2022, held in Petrovac, Montenegro, during September 26–30, 2022. The 17 full papers and presented were carefully reviewed and selected from 43 submissions. They were organized into the following as follows: mathematical programming; global optimization; discrete and combinatorial optimization; optimal control; optimization and data analysis; and game theory and mathematical economics.

Handbook of Optical Sensors

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Publisher : CRC Press
ISBN 13 : 1439866864
Total Pages : 706 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Handbook of Optical Sensors by : Jose Luis Santos

Download or read book Handbook of Optical Sensors written by Jose Luis Santos and published by CRC Press. This book was released on 2014-10-29 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Optical Sensors provides a comprehensive and integrated view of optical sensors, addressing the fundamentals, structures, technologies, applications, and future perspectives. Featuring chapters authored by recognized experts and major contributors to the field, this essential reference: Explains the basic aspects of optical sensors and

Hermitian Analysis

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Publisher : Springer
ISBN 13 : 3030165140
Total Pages : 239 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Hermitian Analysis by : John P. D'Angelo

Download or read book Hermitian Analysis written by John P. D'Angelo and published by Springer. This book was released on 2019-05-24 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a coherent, integrated look at various topics from undergraduate analysis. It begins with Fourier series, continues with Hilbert spaces, discusses the Fourier transform on the real line, and then turns to the heart of the book, geometric considerations. This chapter includes complex differential forms, geometric inequalities from one and several complex variables, and includes some of the author's original results. The concept of orthogonality weaves the material into a coherent whole. This textbook will be a useful resource for upper-undergraduate students who intend to continue with mathematics, graduate students interested in analysis, and researchers interested in some basic aspects of Cauchy-Riemann (CR) geometry. The inclusion of several hundred exercises makes this book suitable for a capstone undergraduate Honors class.​ This second edition contains a significant amount of new material, including a new chapter dedicated to the CR geometry of the unit sphere. This chapter builds upon the first edition by presenting recent results about groups associated with CR sphere maps. From reviews of the first edition: The present book developed from the teaching experiences of the author in several honors courses. .... All the topics are motivated very nicely, and there are many exercises, which make the book ideal for a first-year graduate course on the subject. .... The style is concise, always very neat, and proofs are given with full details. Hence, I certainly suggest this nice textbook to anyone interested in the subject, even for self-study. Fabio Nicola, Politecnico di Torino, Mathematical Reviews D’Angelo has written an eminently readable book, including excellent explanations of pretty nasty stuff for even the more gifted upper division players .... It certainly succeeds in hooking the present browser: I like this book a great deal. Michael Berg, Loyola Marymount University, Mathematical Association of America

Diffractive Nanophotonics

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Publisher : CRC Press
ISBN 13 : 146659070X
Total Pages : 697 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Diffractive Nanophotonics by : Victor A Soifer

Download or read book Diffractive Nanophotonics written by Victor A Soifer and published by CRC Press. This book was released on 2016-04-19 with total page 697 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diffractive Nanophotonics demonstrates the utility of the well-established methods of diffractive computer optics in solving nanophotonics tasks. It is concerned with peculiar properties of laser light diffraction by microoptics elements with nanoscale features and light confinement in subwavelength space regions. Written by recognized experts in t

Groups, Rings, Lie and Hopf Algebras

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Publisher : Springer Science & Business Media
ISBN 13 : 1461302358
Total Pages : 240 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Groups, Rings, Lie and Hopf Algebras by : Y. Bahturin

Download or read book Groups, Rings, Lie and Hopf Algebras written by Y. Bahturin and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume is almost entirely composed of the research and expository papers by the participants of the International Workshop "Groups, Rings, Lie and Hopf Algebras", which was held at the Memorial University of Newfoundland, St. John's, NF, Canada. All four areas from the title of the workshop are covered. In addition, some chapters touch upon the topics, which belong to two or more areas at the same time. Audience: The readership targeted includes researchers, graduate and senior undergraduate students in mathematics and its applications.

Groups - Korea 94

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Author :
Publisher : Walter de Gruyter
ISBN 13 : 3110908972
Total Pages : 357 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Groups - Korea 94 by : A.C. Kim

Download or read book Groups - Korea 94 written by A.C. Kim and published by Walter de Gruyter. This book was released on 2011-06-15 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Hedging Derivatives

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Publisher : World Scientific
ISBN 13 : 9814338796
Total Pages : 244 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Hedging Derivatives by : Thorsten Rheinlander

Download or read book Hedging Derivatives written by Thorsten Rheinlander and published by World Scientific. This book was released on 2011 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Valuation and hedging of financial derivatives are intrinsically linked concepts. Choosing appropriate hedging techniques depends on both the type of derivative and assumptions placed on the underlying stochastic process. This volume provides a systematic treatment of hedging in incomplete markets. Mean-variance hedging under the risk-neutral measure is applied in the framework of exponential L vy processes and for derivatives written on defaultable assets. It is discussed how to complete markets based upon stochastic volatility models via trading in both stocks and vanilla options. Exponential utility indifference pricing is explored via a duality with entropy minimization. Backward stochastic differential equations offer an alternative approach and are moreover applied to study markets with trading constraints including basis risk. A range of optimal martingale measures are discussed including the entropy, Esscher and minimal martingale measures. Quasi-symmetry properties of stochastic processes are deployed in the semi-static hedging of barrier options. This book is directed towards both graduate students and researchers in mathematical finance, and will also provide an orientation to applied mathematicians, financial economists and practitioners wishing to explore recent progress in this field.