Rabi N Bhattacharya

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Rabi N. Bhattacharya

Author : Manfred Denker
Publisher : Birkhäuser
ISBN 13 : 331930190X
Total Pages : 717 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Rabi N. Bhattacharya by : Manfred Denker

Download or read book Rabi N. Bhattacharya written by Manfred Denker and published by Birkhäuser. This book was released on 2016-06-30 with total page 717 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents some of the most influential papers published by Rabi N. Bhattacharya, along with commentaries from international experts, demonstrating his knowledge, insight, and influence in the field of probability and its applications. For more than three decades, Bhattacharya has made significant contributions in areas ranging from theoretical statistics via analytical probability theory, Markov processes, and random dynamics to applied topics in statistics, economics, and geophysics. Selected reprints of Bhattacharya’s papers are divided into three sections: Modes of Approximation, Large Times for Markov Processes, and Stochastic Foundations in Applied Sciences. The accompanying articles by the contributing authors not only help to position his work in the context of other achievements, but also provide a unique assessment of the state of their individual fields, both historically and for the next generation of researchers. Rabi N. Bhattacharya: Selected Papers will be a valuable resource for young researchers entering the diverse areas of study to which Bhattacharya has contributed. Established researchers will also appreciate this work as an account of both past and present developments and challenges for the future.

Stochastic Processes with Applications

Author : Rabi N. Bhattacharya
Publisher : SIAM
ISBN 13 : 0898716896
Total Pages : 726 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Stochastic Processes with Applications by : Rabi N. Bhattacharya

Download or read book Stochastic Processes with Applications written by Rabi N. Bhattacharya and published by SIAM. This book was released on 2009-08-27 with total page 726 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops systematically and rigorously, yet in an expository and lively manner, the evolution of general random processes and their large time properties such as transience, recurrence, and convergence to steady states. The emphasis is on the most important classes of these processes from the viewpoint of theory as well as applications, namely, Markov processes. The book features very broad coverage of the most applicable aspects of stochastic processes, including sufficient material for self-contained courses on random walks in one and multiple dimensions; Markov chains in discrete and continuous times, including birth-death processes; Brownian motion and diffusions; stochastic optimization; and stochastic differential equations. This book is for graduate students in mathematics, statistics, science and engineering, and it may also be used as a reference by professionals in diverse fields whose work involves the application of probability.

Normal Approximation and Asymptotic Expansions

Author : Rabi N. Bhattacharya
Publisher : SIAM
ISBN 13 : 089871897X
Total Pages : 333 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Normal Approximation and Asymptotic Expansions by : Rabi N. Bhattacharya

Download or read book Normal Approximation and Asymptotic Expansions written by Rabi N. Bhattacharya and published by SIAM. This book was released on 2010-11-11 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: -Fourier analysis, --

Random Walk, Brownian Motion, and Martingales

Author : Rabi Bhattacharya
Publisher : Springer Nature
ISBN 13 : 303078939X
Total Pages : 396 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Random Walk, Brownian Motion, and Martingales by : Rabi Bhattacharya

Download or read book Random Walk, Brownian Motion, and Martingales written by Rabi Bhattacharya and published by Springer Nature. This book was released on 2021-09-20 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers an approachable introduction to stochastic processes that explores the four pillars of random walk, branching processes, Brownian motion, and martingales. Building from simple examples, the authors focus on developing context and intuition before formalizing the theory of each topic. This inviting approach illuminates the key ideas and computations in the proofs, forming an ideal basis for further study. Consisting of many short chapters, the book begins with a comprehensive account of the simple random walk in one dimension. From here, different paths may be chosen according to interest. Themes span Poisson processes, branching processes, the Kolmogorov–Chentsov theorem, martingales, renewal theory, and Brownian motion. Special topics follow, showcasing a selection of important contemporary applications, including mathematical finance, optimal stopping, ruin theory, branching random walk, and equations of fluids. Engaging exercises accompany the theory throughout. Random Walk, Brownian Motion, and Martingales is an ideal introduction to the rigorous study of stochastic processes. Students and instructors alike will appreciate the accessible, example-driven approach. A single, graduate-level course in probability is assumed.

Spectral Approximation of Linear Operators

Author : Francoise Chatelin
Publisher : SIAM
ISBN 13 : 0898719992
Total Pages : 482 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Spectral Approximation of Linear Operators by : Francoise Chatelin

Download or read book Spectral Approximation of Linear Operators written by Francoise Chatelin and published by SIAM. This book was released on 2011-05-26 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published: New York: Academic Press, 1983.

Initial-Boundary Value Problems and the Navier-Stokes Equation

Author : Heinz-Otto Kreiss
Publisher : SIAM
ISBN 13 : 0898715652
Total Pages : 408 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Initial-Boundary Value Problems and the Navier-Stokes Equation by : Heinz-Otto Kreiss

Download or read book Initial-Boundary Value Problems and the Navier-Stokes Equation written by Heinz-Otto Kreiss and published by SIAM. This book was released on 2004-01-01 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Initial-Boundary Value Problems and the Navier-Stokes Equations gives an introduction to the vast subject of initial and initial-boundary value problems for PDEs. Applications to parabolic and hyperbolic systems are emphasized in this text. The Navier-Stokes equations for compressible and incompressible flows are taken as an example to illustrate the results. The subjects addressed in the book, such as the well-posedness of initial-boundary value problems, are of frequent interest when PDEs are used in modeling or when they are solved numerically. The book explains the principles of these subjects. The reader will learn what well-posedness or ill-posedness means and how it can be demonstrated for concrete problems. Audience: when the book was written, the main intent was to write a text on initial-boundary value problems that was accessible to a rather wide audience. Functional analytical prerequisites were kept to a minimum or were developed in the book. Boundary conditions are analyzed without first proving trace theorems, and similar simplifications have been used throughout. This book continues to be useful to researchers and graduate students in applied mathematics and engineering.

Mathematics Applied to Continuum Mechanics

Author : Lee A. Segel
Publisher : SIAM
ISBN 13 : 0898716209
Total Pages : 598 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Mathematics Applied to Continuum Mechanics by : Lee A. Segel

Download or read book Mathematics Applied to Continuum Mechanics written by Lee A. Segel and published by SIAM. This book was released on 2007-07-12 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic work gives an excellent overview of the subject, with an emphasis on clarity, explanation, and motivation. Extensive exercises and a valuable section containing hints and answers make this an excellent text for both classroom use and independent study.

Mathematical Models in Biology

Author : Leah Edelstein-Keshet
Publisher : SIAM
ISBN 13 : 9780898719147
Total Pages : 629 pages
Book Rating : 4.7/5 (191 download)

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Book Synopsis Mathematical Models in Biology by : Leah Edelstein-Keshet

Download or read book Mathematical Models in Biology written by Leah Edelstein-Keshet and published by SIAM. This book was released on 1988-01-01 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Models in Biology is an introductory book for readers interested in biological applications of mathematics and modeling in biology. A favorite in the mathematical biology community, it shows how relatively simple mathematics can be applied to a variety of models to draw interesting conclusions. Connections are made between diverse biological examples linked by common mathematical themes. A variety of discrete and continuous ordinary and partial differential equation models are explored. Although great advances have taken place in many of the topics covered, the simple lessons contained in this book are still important and informative. Audience: the book does not assume too much background knowledge--essentially some calculus and high-school algebra. It was originally written with third- and fourth-year undergraduate mathematical-biology majors in mind; however, it was picked up by beginning graduate students as well as researchers in math (and some in biology) who wanted to learn about this field.

Elementary Numerical Analysis

Author : S. D. Conte
Publisher : SIAM
ISBN 13 : 1611975204
Total Pages : 474 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Elementary Numerical Analysis by : S. D. Conte

Download or read book Elementary Numerical Analysis written by S. D. Conte and published by SIAM. This book was released on 2018-02-27 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a thorough and careful introduction to the theory and practice of scientific computing at an elementary, yet rigorous, level, from theory via examples and algorithms to computer programs. The original FORTRAN programs have been rewritten in MATLAB and now appear in a new appendix and online, offering a modernized version of this classic reference for basic numerical algorithms.

Multiple Decision Procedures

Author : Shanti S. Gupta
Publisher : SIAM
ISBN 13 : 0898715326
Total Pages : 592 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Multiple Decision Procedures by : Shanti S. Gupta

Download or read book Multiple Decision Procedures written by Shanti S. Gupta and published by SIAM. This book was released on 2002-01-01 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: An encyclopaedic coverage of the literature in the area of ranking and selection procedures. It also deals with the estimation of unknown ordered parameters. This book can serve as a text for a graduate topics course in ranking and selection. It is also a valuable reference for researchers and practitioners.

Generalized Concavity

Author : Mordecai Avriel
Publisher : SIAM
ISBN 13 : 0898718961
Total Pages : 342 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Generalized Concavity by : Mordecai Avriel

Download or read book Generalized Concavity written by Mordecai Avriel and published by SIAM. This book was released on 2010-11-25 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published: New York: Plenum Press, 1988.

Linear Stochastic Systems

Author : Peter E. Caines
Publisher : SIAM
ISBN 13 : 1611974704
Total Pages : 892 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Linear Stochastic Systems by : Peter E. Caines

Download or read book Linear Stochastic Systems written by Peter E. Caines and published by SIAM. This book was released on 2018-06-12 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Stochastic Systems, originally published in 1988, is today as comprehensive a reference to the theory of linear discrete-time-parameter systems as ever. Its most outstanding feature is the unified presentation, including both input-output and state space representations of stochastic linear systems, together with their interrelationships. The author first covers the foundations of linear stochastic systems and then continues through to more sophisticated topics including the fundamentals of stochastic processes and the construction of stochastic systems; an integrated exposition of the theories of prediction, realization (modeling), parameter estimation, and control; and a presentation of stochastic adaptive control theory. Written in a clear, concise manner and accessible to graduate students, researchers, and teachers, this classic volume also includes background material to make it self-contained and has complete proofs for all the principal results of the book. Furthermore, this edition includes many corrections of errata collected over the years.

Finite Dimensional Linear Systems

Author : Roger W. Brockett
Publisher : SIAM
ISBN 13 : 1611973880
Total Pages : 260 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Finite Dimensional Linear Systems by : Roger W. Brockett

Download or read book Finite Dimensional Linear Systems written by Roger W. Brockett and published by SIAM. This book was released on 2015-05-26 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1970, Finite Dimensional Linear Systems is a classic textbook that provides a solid foundation for learning about dynamical systems and encourages students to develop a reliable intuition for problem solving. The theory of linear systems has been the bedrock of control theory for 50 years and has served as the springboard for many significant developments, all the while remaining impervious to change. Since linearity lies at the heart of much of the mathematical analysis used in applications, a firm grounding in its central ideas is essential. This book touches upon many of the standard topics in applied mathematics, develops the theory of linear systems in a systematic way, making as much use as possible of vector ideas, and contains a number of nontrivial examples and many exercises.

Boundary Value Problems of Mathematical Physics

Author : Ivar Stakgold
Publisher : SIAM
ISBN 13 : 0898714567
Total Pages : 1156 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Boundary Value Problems of Mathematical Physics by : Ivar Stakgold

Download or read book Boundary Value Problems of Mathematical Physics written by Ivar Stakgold and published by SIAM. This book was released on 2000-06-30 with total page 1156 pages. Available in PDF, EPUB and Kindle. Book excerpt: For more than 30 years, this two-volume set has helped prepare graduate students to use partial differential equations and integral equations to handle significant problems arising in applied mathematics, engineering, and the physical sciences. Originally published in 1967, this graduate-level introduction is devoted to the mathematics needed for the modern approach to boundary value problems using Green's functions and using eigenvalue expansions. Now a part of SIAM's Classics series, these volumes contain a large number of concrete, interesting examples of boundary value problems for partial differential equations that cover a variety of applications that are still relevant today. For example, there is substantial treatment of the Helmholtz equation and scattering theory?subjects that play a central role in contemporary inverse problems in acoustics and electromagnetic theory.

Elliptic Problems in Nonsmooth Domains

Author : Pierre Grisvard
Publisher : SIAM
ISBN 13 : 1611972027
Total Pages : 426 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Elliptic Problems in Nonsmooth Domains by : Pierre Grisvard

Download or read book Elliptic Problems in Nonsmooth Domains written by Pierre Grisvard and published by SIAM. This book was released on 2011-10-20 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published: Boston: Pitman Advanced Pub. Program, 1985.

Asymptotic Approximations of Integrals

Author : R. Wong
Publisher : SIAM
ISBN 13 : 0898714974
Total Pages : 554 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Asymptotic Approximations of Integrals by : R. Wong

Download or read book Asymptotic Approximations of Integrals written by R. Wong and published by SIAM. This book was released on 2001-08-01 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic text remains the most up-to-date book to deal with asymptotic approximations of integrals. All results discussed are proved rigorously, and many of the approximation formulas are accompanied by error bounds. Included is a thorough discussion on multidimensional integrals, with references provided, plus the 'distributional method', not available elsewhere.

Polynomial Based Iteration Methods for Symmetric Linear Systems

Author : Bernd Fischer
Publisher : SIAM
ISBN 13 : 1611971918
Total Pages : 284 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Polynomial Based Iteration Methods for Symmetric Linear Systems by : Bernd Fischer

Download or read book Polynomial Based Iteration Methods for Symmetric Linear Systems written by Bernd Fischer and published by SIAM. This book was released on 2011-07-28 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published: Chichester; New York: Wiley; Stuttgart: Teubner, c1996.