Author: Lee A. Segel
Publisher: SIAM
ISBN: 0898716209
Category : Science
Languages : en
Pages : 598
Book Description
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.
Stochastic Processes with Applications
Author: Rabi N. Bhattacharya
Publisher: SIAM
ISBN: 0898716896
Category : Mathematics
Languages : en
Pages : 726
Book Description
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.
Publisher: SIAM
ISBN: 0898716896
Category : Mathematics
Languages : en
Pages : 726
Book Description
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.
Mathematics Applied to Continuum Mechanics
Author: Lee A. Segel
Publisher: SIAM
ISBN: 0898716209
Category : Science
Languages : en
Pages : 598
Book Description
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.
Publisher: SIAM
ISBN: 0898716209
Category : Science
Languages : en
Pages : 598
Book Description
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.
Spectral Approximation of Linear Operators
Author: Francoise Chatelin
Publisher: SIAM
ISBN: 0898719992
Category : Mathematics
Languages : en
Pages : 482
Book Description
Originally published: New York: Academic Press, 1983.
Publisher: SIAM
ISBN: 0898719992
Category : Mathematics
Languages : en
Pages : 482
Book Description
Originally published: New York: Academic Press, 1983.
Mathematical Models in Biology
Author: Leah Edelstein-Keshet
Publisher: SIAM
ISBN: 9780898719147
Category : Mathematics
Languages : en
Pages : 629
Book Description
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.
Publisher: SIAM
ISBN: 9780898719147
Category : Mathematics
Languages : en
Pages : 629
Book Description
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.
Multiple Decision Procedures
Author: Shanti S. Gupta
Publisher: SIAM
ISBN: 0898715326
Category : Mathematics
Languages : en
Pages : 592
Book Description
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.
Publisher: SIAM
ISBN: 0898715326
Category : Mathematics
Languages : en
Pages : 592
Book Description
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: 0898718961
Category : Mathematics
Languages : en
Pages : 342
Book Description
Originally published: New York: Plenum Press, 1988.
Publisher: SIAM
ISBN: 0898718961
Category : Mathematics
Languages : en
Pages : 342
Book Description
Originally published: New York: Plenum Press, 1988.
The Mathematics of Computerized Tomography
Author: Frank Natterer
Publisher: SIAM
ISBN: 0898714931
Category : Mathematics
Languages : en
Pages : 240
Book Description
This book provides a unified view of tomographic techniques and an in-depth treatment of reconstruction algorithms.
Publisher: SIAM
ISBN: 0898714931
Category : Mathematics
Languages : en
Pages : 240
Book Description
This book provides a unified view of tomographic techniques and an in-depth treatment of reconstruction algorithms.
Optimal Design of Experiments
Author: Friedrich Pukelsheim
Publisher: SIAM
ISBN: 0898716047
Category : Mathematics
Languages : en
Pages : 527
Book Description
Optimal Design of Experiments offers a rare blend of linear algebra, convex analysis, and statistics. The optimal design for statistical experiments is first formulated as a concave matrix optimization problem. Using tools from convex analysis, the problem is solved generally for a wide class of optimality criteria such as D-, A-, or E-optimality. The book then offers a complementary approach that calls for the study of the symmetry properties of the design problem, exploiting such notions as matrix majorization and the Kiefer matrix ordering. The results are illustrated with optimal designs for polynomial fit models, Bayes designs, balanced incomplete block designs, exchangeable designs on the cube, rotatable designs on the sphere, and many other examples.
Publisher: SIAM
ISBN: 0898716047
Category : Mathematics
Languages : en
Pages : 527
Book Description
Optimal Design of Experiments offers a rare blend of linear algebra, convex analysis, and statistics. The optimal design for statistical experiments is first formulated as a concave matrix optimization problem. Using tools from convex analysis, the problem is solved generally for a wide class of optimality criteria such as D-, A-, or E-optimality. The book then offers a complementary approach that calls for the study of the symmetry properties of the design problem, exploiting such notions as matrix majorization and the Kiefer matrix ordering. The results are illustrated with optimal designs for polynomial fit models, Bayes designs, balanced incomplete block designs, exchangeable designs on the cube, rotatable designs on the sphere, and many other examples.
Basic Concepts of Probability and Statistics
Author: J. L. Hodges, Jr.
Publisher: SIAM
ISBN: 089871575X
Category : Mathematics
Languages : en
Pages : 450
Book Description
This book provides a mathematically rigorous introduction to the fundamental ideas of modern statistics for readers without a calculus background.
Publisher: SIAM
ISBN: 089871575X
Category : Mathematics
Languages : en
Pages : 450
Book Description
This book provides a mathematically rigorous introduction to the fundamental ideas of modern statistics for readers without a calculus background.
Generalized Inverses of Linear Transformations
Author: Stephen L. Campbell
Publisher: SIAM
ISBN: 0898719046
Category : Mathematics
Languages : en
Pages : 289
Book Description
Generalized (or pseudo-) inverse concepts routinely appear throughout applied mathematics and engineering, in both research literature and textbooks. Although the basic properties are readily available, some of the more subtle aspects and difficult details of the subject are not well documented or understood. First published in 1979, Generalized Inverses of Linear Transformations remains up-to-date and readable, and it includes chapters on Markov chains and the Drazin inverse methods that have become significant to many problems in applied mathematics. The book provides comprehensive coverage of the mathematical theory of generalized inverses coupled with a wide range of important and practical applications that includes topics in electrical and computer engineering, control and optimization, computing and numerical analysis, statistical estimation, and stochastic processes. Audience: intended for use as a reference by applied scientists and engineers.
Publisher: SIAM
ISBN: 0898719046
Category : Mathematics
Languages : en
Pages : 289
Book Description
Generalized (or pseudo-) inverse concepts routinely appear throughout applied mathematics and engineering, in both research literature and textbooks. Although the basic properties are readily available, some of the more subtle aspects and difficult details of the subject are not well documented or understood. First published in 1979, Generalized Inverses of Linear Transformations remains up-to-date and readable, and it includes chapters on Markov chains and the Drazin inverse methods that have become significant to many problems in applied mathematics. The book provides comprehensive coverage of the mathematical theory of generalized inverses coupled with a wide range of important and practical applications that includes topics in electrical and computer engineering, control and optimization, computing and numerical analysis, statistical estimation, and stochastic processes. Audience: intended for use as a reference by applied scientists and engineers.