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Advanced Topics in Control Systems Theory ; Vol. 328 : Lecture Notes from FAP 2005
"Advanced Topics in Control Systems Theory" contains selected contributions written by lecturers at the third (annual) Formation d’Automatique de Paris (FAP) (Graduate Control School in Paris). Following on from the lecture notes from the second FAP (Volume 311 in the same series) it is addressed to graduate students and researchers in control theory with topics touching on a variety of areas of interest to the control community such as nonlinear optimal control, observer design, stability analysis and structural properties of linear systems. The reader is provided with a well-integrated synthesis of the latest thinking in these subjects without the need for an exhaustive literature review. The internationally known contributors to this volume represent many of the most reputable control centers in Europe.
Advanced Topics in Control Systems Theory ; Vol. 311 : Lecture Notes from FAP 2004
Advanced Topics in Control Systems Theory contains selected contributions written by lecturers at the second (annual) Formation dAutomatique de Paris (FAP) (Graduate Control School in Paris). It is addressed to graduate students and researchers in control theory with topics touching on a variety of areas of interest to the control community such as cascaded systems, flatness, optimal control, and Hamiltonian and infinite-dimensional systems. The reader is provided with a well-integrated synthesis of the latest thinking in these subjects without the need for an exhaustive literature review.
Advanced organic chemistry ; Part A : structure and mechanisms
Advanced Organic Chemistry Part A provides a close look at the structural concepts and mechanistic patterns that are fundamental to organic chemistry. It relates those mechanistic patterns, including relative reactivity and stereochemistry, to underlying structural factors. Understanding these concepts and relationships will allow students to recognize the cohesive patterns of reactivity in organic chemistry. Part A: Structure and Mechanism and Part B: Reaction and Synthesis - taken together - are intended to provide the advanced undergraduate or beginning graduate student in chemistry with a foundation to comprehend and use the research literature in organic chemistry
Advanced Numerical Methods to Optimize Cutting Operations of Five-Axis Milling Machines
Presents new optimization algorithms designed to improve the efficiency of tool paths for five-axis NC machining of sculptured surfaces. The book introduces the reader to fundamental issues involved in the tool path planning such as the kinematics of five-axis machines, types of 5 axis machines, part surface representation, machining strips, optimal tool orientation, gouging avoidance and forward step error. It also introduces new methods of optimization based on research conducted by the authors, including schemes performed in the spatial domain, angular domain as well as procedures to optimize the initial setup. The book can be used by undergraduate and graduate students and researchers in the field of NC machining and CAD/CAM as well as by the corporate research groups for advanced optimization of cutting operations.
Advanced Materials and Structures for Extreme Operating Conditions
The present monograph deals with new advanced materials, including composites, functionally graded materials, materials for high temperature service, advanced approaches to local and non-local analysis of localized damage, new description of crack deactivation, and many more.
Advanced Linear Algebra
For the third edition, the author has added a new chapter on associative algebras that includes the well known characterizations of the finite-dimensional division algebras over the real field (a theorem of Frobenius) and over a finite field (Wedderburn's theorem); polished and refined some arguments (such as the discussion of reflexivity, the rational canonical form, best approximations and the definitions of tensor products); upgraded some proofs that were originally done only for finite-dimensional/rank cases; added new theorems, including the spectral mapping theorem; considerably expanded the reference section with over a hundred references to books on linear algebra.
A rose armed with thorns : Spinoza’s Philosophy under a novel lens
presents a systemic analysis of Spinoza’s philosophy and challenges the traditional views. It deals with Spinoza’s concepts of substance, truth conditions, attributes, and the first, second, and supreme grades of knowledge. Based upon an analysis of the relevant details in all of Spinoza’s philosophical works, reveals many important points, including the following: Spinoza’s system is not, nor is meant to be, a foundational-deductive system but was meant to be a coherent system of a network model. Spinoza’s reality is not made in the image of a mathematical model. Imaginatio, the first grade of knowledge, and ratio, the second grade, are parts or properties of the supreme grade of knowledge, scientia intuitiva, which is their essence.
A Geometric Approach to Differential Forms
The modern subject of differential forms subsumes classical vector calculus. This text presents differential forms from a geometric perspective accessible at the undergraduate level. The book begins with basic concepts such as partial differentiation and multiple integration and gently develops the entire machinery of differential forms. Each new concept is presented with a natural picture that students can easily grasp. Algebraic properties then follow. This facilitates the development of differential forms without assuming a background in linear algebra. Throughout the text, emphasis is placed on applications in 3 dimensions, but all definitions are given so as to be easily generalized to higher dimensions. A centerpiece of the text is the generalized Stokes' theorem. Although this theorem implies all of the classical integral theorems of vector calculus, it is far easier for students to both comprehend and remember.
A First Course in Modular Forms
This book introduces the theory of modular forms with an eye toward the Modularity Theorem: All rational elliptic curves arise from modular forms. The topics covered include • elliptic curves as complex tori and as algebraic curves, • modular curves as Riemann surfaces and as algebraic curves, • Hecke operators and Atkin–Lehner theory, • Hecke eigenforms and their arithmetic properties, • the Jacobians of modular curves and the Abelian varieties associated to Hecke eigenforms, • elliptic and modular curves modulo p and the Eichler–Shimura Relation, • the Galois representations associated to elliptic curves and to Hecke eigenforms. As it presents these ideas, the book states the Modularity Theorem in various forms, relating them to each other and touching on their applications to number theory.
A Benchmark Approach to Quantitative Finance
The general framework is used to provide an understanding of the nature of stochastic volatility. The book is intended for a wide audience that includes quantitative analysts, postgraduate students and practitioners in finance, economics and insurance. It aims to be a self-contained, accessible but mathematically rigorous introduction to quantitative finance for readers that have a reasonable mathematical or quantitative background. Finally, the book should stimulate interest in the benchmark approach by describing some of its power and wide applicability.
3D Radiative Transfer in Cloudy Atmospheres
Assessing developments in three-dimensional cloud radiation, this volume treats two main application areas: the impact of clouds on the Earth's radiation budget, and remote observation of clouds. It is suitable for graduate students, researchers, and also for those interested in cloud-radiation processes in the solar and infrared spectral regions.
