Author: Ingrid Daubechies
Publisher: SIAM: Society for Industrial and Applied Mathematics
Keywords: series, applied, mathematics, conference, regional, wavelets, cbms, nsf, lectures
Number of Pages: 377
Published: 1992-06-01
List price: $77.00
ISBN-10: 0898712742
ISBN-13: 9780898712742

Wavelets are a mathematical development that may revolutionize the world of information storage and retrieval according to many experts. They are a fairly simple mathematical tool now being applied to the compression of data--such as fingerprints, weather satellite photographs, and medical x-rays--that were previously thought to be impossible to condense without losing crucial details. This monograph contains 10 lectures presented by Dr. Daubechies as the principal speaker at the 1990 CBMS-NSF Conference on Wavelets and Applications. The author has worked on several aspects of the wavelet t

Author: M. Vidyasagar
Publisher: SIAM: Society for Industrial and Applied Mathematics
Keywords: applied, mathematics, classics, analysis, systems, nonlinear
Number of Pages: 520
Published: 2002-10-01
List price: $67.50
ISBN-10: 0898715261
ISBN-13: 9780898715262

When M. Vidyasagar wrote the first edition of Nonlinear Systems Analysis, most control theorists considered the subject of nonlinear systems a mystery. Since then, advances in the application of differential geometric methods to nonlinear analysis have matured to a stage where every control theorist needs to possess knowledge of the basic techniques because virtually all physical systems are nonlinear in nature. The second edition, now republished in SIAM’s Classics in Applied Mathematics series, provides a rigorous mathematical analysis of the behavior of nonlinear control systems under

Author: Grace Wahba
Publisher: SIAM: Society for Industrial and Applied Mathematics
Keywords: conference, series, applied, mathematics, regional, nsf, models, observational, data, cbms, spline
Number of Pages: 180
Published: 1990-09-01
List price: $55.50
ISBN-10: 0898712440
ISBN-13: 9780898712445

This book serves well as an introduction into the more theoretical aspects of the use of spline models. It develops a theory and practice for the estimation of functions from noisy data on functionals. The simplest example is the estimation of a smooth curve, given noisy observations on a finite number of its values. The estimate is a polynomial smoothing spline. By placing this smoothing problem in the setting of reproducing kernel Hilbert spaces, a theory is developed which includes univariate smoothing splines, thin plate splines in d dimensions, splines on the sphere, additive splines, an

Authors:Lloyd N. Trefethen, David Bau III,
Publisher: SIAM: Society for Industrial and Applied Mathematics
Keywords: algebra, linear, numerical
Number of Pages: 373
Published: 1997-06-01
List price: $61.00
ISBN-10: 0898713617
ISBN-13: 9780898713619

This is a concise, insightful introduction to the field of numerical linear algebra. The clarity and eloquence of the presentation make it popular with teachers and students alike. The text aims to expand the reader’s view of the field and to present standard material in a novel way. All of the most important topics in the field are covered with a fresh perspective, including iterative methods for systems of equations and eigenvalue problems and the underlying principles of conditioning and stability. Presentation is in the form of 40 lectures, which each focus on one or two central idea

Author: Alan J. Laub
Publisher: SIAM: Society for Industrial and Applied Mathematics
Keywords: engineers, scientists, analysis, matrix
Number of Pages: 170
Published: 2004-12-01
List price: $42.00
ISBN-10: 0898715768
ISBN-13: 9780898715767

Matrix Analysis for Scientists and Engineers provides a blend of undergraduate- and graduate-level topics in matrix theory and linear algebra that relieves instructors of the burden of reviewing such material in subsequent courses that depend heavily on the language of matrices. Consequently, the text provides an often-needed bridge between undergraduate-level matrix theory and linear algebra and the level of matrix analysis required for graduate-level study and research. The text is sufficiently compact that the material can be taught comfortably in a one-quarter or one-semester course. Throu

Author: Lloyd N. Trefethen
Publisher: SIAM: Society for Industrial and Applied Mathematics
Keywords: environments, tools, software, matlab, methods, spectral
Number of Pages: 184
Published: 2001-02-15
List price: $50.00
ISBN-10: 0898714656
ISBN-13: 9780898714654

This is the only book on spectral methods built around MATLAB programs. Along with finite differences and finite elements, spectral methods are one of the three main technologies for solving partial differential equations on computers. Since spectral methods involve significant linear algebra and graphics they are very suitable for the high level programming of MATLAB. This hands-on introduction is built around forty short and powerful MATLAB programs, which the reader can download from the World Wide Web. This book presents the key ideas along with many figures, examples, and short, elegan

Author: G. W. Stewart
Publisher: SIAM: Society for Industrial and Applied Mathematics
Keywords: algorithms, matrix
Number of Pages: 478
Published: 1998-08-01
List price: $63.00
ISBN-10: 0898714141
ISBN-13: 9780898714142

This thorough, concise, and superbly written volume is the first in a self-contained five-volume series devoted to matrix algorithms. It focuses on the computation of matrix decompositions - the factorization of matrices into products of similar ones. The first two chapters provide the required background from mathematics and computer science needed to work effectively in matrix computations. The remaining chapters are devoted to the computation and applications of the LU and QR decompositions. The series is aimed at the nonspecialist who needs more than black-box proficiency with matrix compu