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Author: Harry Dym
Publisher: American Mathematical Society
ISBN: 1470472066
Category : Mathematics
Languages : en
Pages : 512
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Book Description
This book is based largely on courses that the author taught at the Feinberg Graduate School of the Weizmann Institute. It conveys in a user-friendly way the basic and advanced techniques of linear algebra from the point of view of a working analyst. The techniques are illustrated by a wide sample of applications and examples that are chosen to highlight the tools of the trade. In short, this is material that the author has found to be useful in his own research and wishes that he had been exposed to as a graduate student. Roughly the first quarter of the book reviews the contents of a basic course in linear algebra, plus a little. The remaining chapters treat singular value decompositions, convexity, special classes of matrices, projections, assorted algorithms, and a number of applications. The applications are drawn from vector calculus, numerical analysis, control theory, complex analysis, convex optimization, and functional analysis. In particular, fixed point theorems, extremal problems, best approximations, matrix equations, zero location and eigenvalue location problems, matrices with nonnegative entries, and reproducing kernels are discussed. This new edition differs significantly from the second edition in both content and style. It includes a number of topics that did not appear in the earlier edition and excludes some that did. Moreover, most of the material that has been adapted from the earlier edition has been extensively rewritten and reorganized.
Author: Harry Dym
Publisher: American Mathematical Society
ISBN: 1470472066
Category : Mathematics
Languages : en
Pages : 512
Get Book Here
Book Description
This book is based largely on courses that the author taught at the Feinberg Graduate School of the Weizmann Institute. It conveys in a user-friendly way the basic and advanced techniques of linear algebra from the point of view of a working analyst. The techniques are illustrated by a wide sample of applications and examples that are chosen to highlight the tools of the trade. In short, this is material that the author has found to be useful in his own research and wishes that he had been exposed to as a graduate student. Roughly the first quarter of the book reviews the contents of a basic course in linear algebra, plus a little. The remaining chapters treat singular value decompositions, convexity, special classes of matrices, projections, assorted algorithms, and a number of applications. The applications are drawn from vector calculus, numerical analysis, control theory, complex analysis, convex optimization, and functional analysis. In particular, fixed point theorems, extremal problems, best approximations, matrix equations, zero location and eigenvalue location problems, matrices with nonnegative entries, and reproducing kernels are discussed. This new edition differs significantly from the second edition in both content and style. It includes a number of topics that did not appear in the earlier edition and excludes some that did. Moreover, most of the material that has been adapted from the earlier edition has been extensively rewritten and reorganized.
Author: A.K. Galwey
Publisher: Elsevier
ISBN: 0080542794
Category : Science
Languages : en
Pages : 626
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Book Description
The principal objective of this book is to stimulate interest in research that will extend available theory towards a greater understanding of the steps involved in solid-state decompositions and the properties of solids that control reactivities. Much of the activity in this field has been directed towards increasing the range of reactants for which decomposition kinetic data is available, rather than extending insights into the fundamental chemistry of the reactions being studied. The first part of the book (Chapters 1-6) is concerned with theoretical aspects of the subject. The second part (Chapters 7-17) surveys groups of reactions classified by similarities of chemical composition. The final Chapter (18) reviews the subject by unifying features identified as significant and proposes possible directions for future progress.Studies of thermal reactions of ionic compounds have contributed considerably to the theory of solid-state chemistry. Furthermore, many of these rate processes have substantial technological importance, for example, in the manufacture of cement, the exploitation of ores and in the stability testing of drugs, explosives and oxidizing agents. Despite the prolonged and continuing research effort concerned with these reactions, there is no recent overall review. This book is intended to contribute towards correcting this omission. The essential unity of the subject is recognized by the systematic treatment of reactions, carefully selected to be instructive and representative of the subject as a whole. The authors have contributed more than 200 original research articles to the literature, many during their 25 years of collaboration.Features of this book:• Gives a comprehensive in-depth survey of a rarely-reviewed subject.• Reviews methods used in studies of thermal decompositions of solids.• Discusses patterns of subject development perceived from an extensive literature survey.This book is expected to be of greatest value and interest to scientists concerned with the chemical properties and reactions of solids, including chemists, physicists, pharmacists, material scientists, crystallographers, metallurgists and others. This wide coverage of the literature dealing with thermal reactions of solids will be of value to both academic and industrial researchers by reviewing the current status of the theory of the subject. It could also provide a useful starting point for the exploitation of crystalline materials in practical and industrial applications. The contents will also be relevant to a wide variety of researchers, including, for example, those concerned with the stabilities of polymers and composite materials, the processing of minerals, the shelf-lives of pharmaceuticals, etc.
Author: Kristina M. Lyons
Publisher: Duke University Press
ISBN: 1478009209
Category : Social Science
Languages : en
Pages : 149
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Book Description
In Colombia, decades of social and armed conflict and the US-led war on drugs have created a seemingly untenable situation for scientists and rural communities as they attempt to care for forests and grow non-illicit crops. In Vital Decomposition Kristina M. Lyons presents an ethnography of human-soil relations. She follows state soil scientists and peasants across labs, greenhouses, forests, and farms and attends to the struggles and collaborations between farmers, agrarian movements, state officials, and scientists over the meanings of peace, productivity, rural development, and sustainability in Colombia. In particular, Lyons examines the practices and philosophies of rural farmers who value the decomposing layers of leaves, which make the soils that sustain life in the Amazon, and shows how the study and stewardship of the soil point to alternative frameworks for living and dying. In outlining the life-making processes that compose and decompose into soil, Lyons theorizes how life can thrive in the face of the violence, criminalization, and poisoning produced by militarized, growth-oriented development.
Author: Elías Cueto
Publisher: Springer
ISBN: 3319299948
Category : Science
Languages : en
Pages : 103
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Book Description
This book is intended to help researchers overcome the entrance barrier to Proper Generalized Decomposition (PGD), by providing a valuable tool to begin the programming task. Detailed Matlab Codes are included for every chapter in the book, in which the theory previously described is translated into practice. Examples include parametric problems, non-linear model order reduction and real-time simulation, among others. Proper Generalized Decomposition (PGD) is a method for numerical simulation in many fields of applied science and engineering. As a generalization of Proper Orthogonal Decomposition or Principal Component Analysis to an arbitrary number of dimensions, PGD is able to provide the analyst with very accurate solutions for problems defined in high dimensional spaces, parametric problems and even real-time simulation.
Author: Cheryl E. Praeger
Publisher: London Mathematical Society Le
ISBN: 0521675065
Category : Mathematics
Languages : en
Pages : 338
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Book Description
Concise introduction to permutation groups, focusing on invariant cartesian decompositions and applications in algebra and combinatorics.
Author:
Publisher: Academic Press
ISBN: 0080874436
Category : Mathematics
Languages : en
Pages : 331
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Book Description
Decompositions of Manifolds
Author: W. Frank Moore
Publisher: Springer
ISBN: 3319968769
Category : Mathematics
Languages : en
Pages : 394
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Book Description
This textbook on combinatorial commutative algebra focuses on properties of monomial ideals in polynomial rings and their connections with other areas of mathematics such as combinatorics, electrical engineering, topology, geometry, and homological algebra. Aimed toward advanced undergraduate students and graduate students who have taken a basic course in abstract algebra that includes polynomial rings and ideals, this book serves as a core text for a course in combinatorial commutative algebra or as preparation for more advanced courses in the area. The text contains over 600 exercises to provide readers with a hands-on experience working with the material; the exercises include computations of specific examples and proofs of general results. Readers will receive a firsthand introduction to the computer algebra system Macaulay2 with tutorials and exercises for most sections of the text, preparing them for significant computational work in the area. Connections to non-monomial areas of abstract algebra, electrical engineering, combinatorics and other areas of mathematics are provided which give the reader a sense of how these ideas reach into other areas.
Author: Jomon Kottarathil
Publisher: CRC Press
ISBN: 1040018734
Category : Mathematics
Languages : en
Pages : 201
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Book Description
The book Graph Theory and Decomposition covers major areas of the decomposition of graphs. It is a three-part reference book with nine chapters that is aimed at enthusiasts as well as research scholars. It comprehends historical evolution and basic terminologies, and it deliberates on decompositions into cyclic graphs, such as cycle, digraph, and K4-e decompositions. In addition to determining the pendant number of graphs, it has a discourse on decomposing a graph into acyclic graphs like general tree, path, and star decompositions. It summarises another recently developed decomposition technique, which decomposes the given graph into multiple types of subgraphs. Major conjectures on graph decompositions are elaborately discussed. It alludes to a comprehensive bibliography that includes over 500 monographs and journal articles. It includes more than 500 theorems, around 100 definitions, 56 conjectures, 40 open problems, and an algorithm. The index section facilitates easy access to definitions, major conjectures, and named theorems. Thus, the book Graph Theory and Decomposition will be a great asset, we hope, in the field of decompositions of graphs and will serve as a reference book for all who are passionate about graph theory.
Author: R.G. Compton
Publisher: Elsevier
ISBN: 0080868002
Category : Science
Languages : en
Pages : 797
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Book Description
Decomposition and Isomerization of Organic Compounds
Author: Christoph Scholl
Publisher: Springer Science & Business Media
ISBN: 1475733933
Category : Technology & Engineering
Languages : en
Pages : 274
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Book Description
This consistently written book provides a comprehensive presentation of a multitude of results stemming from the author's as well as various researchers' work in the field. It also covers functional decomposition for incompletely specified functions, decomposition for multi-output functions and non-disjoint decomposition.
