This book provides a careful, lucid description of singular spectrum analysis (SSA) general theory and methodology. Part I introduces the basic concepts and presents a detailed treatment of the methodology. Part II is devoted to the theory of SSA. Based on the authors' original work and filled with ..
This book describes the foundation processes and analytical practices for identifying, analyzing, measuring, and managing risk in traditional systems, systems-of-systems, and enterprise systems. It uses numerous examples and chapter exercises to illustrate how principles are applied to actual engine..
Differential equations play a vital role in the fields of engineering and science. Problems in engineering and science can be modeled using ordinary or partial differential equations. Analytical solutions of differential equations may not be obtained easily, so numerical methods have been developed ..
Builds the foundation in matrix algebra needed by freshman students in mathematics, physics, and computer science and by upper-level business and social science students. This book presents the material with pedagogical clarity, many figures and diagrams, and interrelated examples...
This practical treatment explains the applications complex calculus without requiring the rigor of a real analysis background. The author explores algebraic and geometric aspects of complex numbers, differentiation, contour integration, finite and infinite real integrals, summation of series, and th..
This practical treatment explains the applications complex calculus without requiring the rigor of a real analysis background. The author explores algebraic and geometric aspects of complex numbers, differentiation, contour integration, finite and infinite real integrals, summation of series, and th..
Connecting fundamental geometric ideas to advanced geometry, this text unifies Euclidean, elliptic, and hyperbolic geometry within an axiomatic framework. It covers topological shapes of geometric objects and includes more than 700 carefully crafted problems. Numerous examples show how geometry has ..
This self-contained book presents interdisciplinary methods for integrating experimental and computational information in many scientific and engineering areas. It explains how to estimate covariances and confidence intervals from experimental data. It then describes algorithms for both unconstraine..
Exploring recent developments in continuum mechanics, this book presents the general framework for configurational forces and covers a range of applications in engineering and condensed matter physics. The author provides examples of standard linear and nonlinear, recoverable, and thermodynamically ..
From Abelian cohomology to zero ring and from the basic to the advanced, this work includes terms associated with arithmetic, algebra, and trigonometry, with natural overlap into geometry, topology, and other related areas...
This unique lexicon includes terms associated with analysis, calculus, and differential equations, with natural overlap into other related areas. From Abel's Continuity Theorem to Zygmund Class, top experts from around the world present more than 2,500 detailed definitions, written in a clear, reada..