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Author: Alexandre V. Borovik Publisher: Springer Science & Business Media ISBN: 0387790667 Category : Mathematics Languages : en Pages : 172
Book Description
This graduate/advanced undergraduate textbook contains a systematic and elementary treatment of finite groups generated by reflections. The approach is based on fundamental geometric considerations in Coxeter complexes, and emphasizes the intuitive geometric aspects of the theory of reflection groups. Key features include: many important concepts in the proofs are illustrated in simple drawings, which give easy access to the theory; a large number of exercises at various levels of difficulty; some Euclidean geometry is included along with the theory of convex polyhedra; no prerequisites are necessary beyond the basic concepts of linear algebra and group theory; and a good index and bibliography The exposition is directed at advanced undergraduates and first-year graduate students.
Author: Alexandre V. Borovik Publisher: Springer Science & Business Media ISBN: 0387790667 Category : Mathematics Languages : en Pages : 172
Book Description
This graduate/advanced undergraduate textbook contains a systematic and elementary treatment of finite groups generated by reflections. The approach is based on fundamental geometric considerations in Coxeter complexes, and emphasizes the intuitive geometric aspects of the theory of reflection groups. Key features include: many important concepts in the proofs are illustrated in simple drawings, which give easy access to the theory; a large number of exercises at various levels of difficulty; some Euclidean geometry is included along with the theory of convex polyhedra; no prerequisites are necessary beyond the basic concepts of linear algebra and group theory; and a good index and bibliography The exposition is directed at advanced undergraduates and first-year graduate students.
Author: Gene H. Golub Publisher: JHU Press ISBN: 1421408597 Category : Mathematics Languages : en Pages : 781
Book Description
A comprehensive treatment of numerical linear algebra from the standpoint of both theory and practice. The fourth edition of Gene H. Golub and Charles F. Van Loan's classic is an essential reference for computational scientists and engineers in addition to researchers in the numerical linear algebra community. Anyone whose work requires the solution to a matrix problem and an appreciation of its mathematical properties will find this book to be an indispensible tool. This revision is a cover-to-cover expansion and renovation of the third edition. It now includes an introduction to tensor computations and brand new sections on • fast transforms • parallel LU • discrete Poisson solvers • pseudospectra • structured linear equation problems • structured eigenvalue problems • large-scale SVD methods • polynomial eigenvalue problems Matrix Computations is packed with challenging problems, insightful derivations, and pointers to the literature—everything needed to become a matrix-savvy developer of numerical methods and software. The second most cited math book of 2012 according to MathSciNet, the book has placed in the top 10 for since 2005.
Author: A. K. Hazra Publisher: Cambridge International Science Publishing ISBN: Category : Mathematics Languages : en Pages : 518
Book Description
Intended for undergraduate and graduate students of mathematics, engineering, and social sciences, this volume is arranged in such a way that a beginner can easily grasp the material step by step, and the theories are made lucid through illustrated examples. (Mathematics)
Author: Edward Barry Saff Publisher: John Wiley & Sons ISBN: 1118953657 Category : Mathematics Languages : en Pages : 407
Book Description
An accessible and clear introduction to linear algebra with a focus on matrices and engineering applications Providing comprehensive coverage of matrix theory from a geometric and physical perspective, Fundamentals of Matrix Analysis with Applications describes the functionality of matrices and their ability to quantify and analyze many practical applications. Written by a highly qualified author team, the book presents tools for matrix analysis and is illustrated with extensive examples and software implementations. Beginning with a detailed exposition and review of the Gauss elimination method, the authors maintain readers’ interest with refreshing discussions regarding the issues of operation counts, computer speed and precision, complex arithmetic formulations, parameterization of solutions, and the logical traps that dictate strict adherence to Gauss’s instructions. The book heralds matrix formulation both as notational shorthand and as a quantifier of physical operations such as rotations, projections, reflections, and the Gauss reductions. Inverses and eigenvectors are visualized first in an operator context before being addressed computationally. Least squares theory is expounded in all its manifestations including optimization, orthogonality, computational accuracy, and even function theory. Fundamentals of Matrix Analysis with Applications also features: Novel approaches employed to explicate the QR, singular value, Schur, and Jordan decompositions and their applications Coverage of the role of the matrix exponential in the solution of linear systems of differential equations with constant coefficients Chapter-by-chapter summaries, review problems, technical writing exercises, select solutions, and group projects to aid comprehension of the presented concepts Fundamentals of Matrix Analysis with Applications is an excellent textbook for undergraduate courses in linear algebra and matrix theory for students majoring in mathematics, engineering, and science. The book is also an accessible go-to reference for readers seeking clarification of the fine points of kinematics, circuit theory, control theory, computational statistics, and numerical algorithms.
Author: Eddie Zacapa Publisher: AuthorHouse ISBN: 1420807811 Category : Philosophy Languages : en Pages : 104
Book Description
"There is a battle before us. It is the battle for good and evil. It is a battle for truth and for the greater purpose to be revealed. Something that the world and the enemy will fight against to the end. It is a battle for the destruction of the Matrix." From the book Matrix Reflections, Eddie Zacapa "I would recommend this book to anyone who is seeking to understand how to make sense out of life." Dave Medders - Director, The Foundation For Christian Discipleship and Campus Ventures Do we live in a dream world? The Matrix Reflections acts as a tool, a mirror, a key that unlocks some answers to the very questions that we encounter throughout our lives. It invites us to take a journey, like Neo, the hero of the films, to discover the truth about our world and it's illusions. Come and explore the Matrix films deeper and discover the answers to the Big Questions of life. "It has a definite youth feel and is totally relevant! It will challenge students to think deeper." Charlton Scullard - Pastor of Student Ministries, Twin Oaks Church
Author: Kenneth Kuttler Publisher: ISBN: Category : Algebras, Linear Languages : en Pages : 586
Book Description
"A First Course in Linear Algebra, originally by K. Kuttler, has been redesigned by the Lyryx editorial team as a first course for the general students who have an understanding of basic high school algebra and intend to be users of linear algebra methods in their profession, from business & economics to science students. All major topics of linear algebra are available in detail, as well as justifications of important results. In addition, connections to topics covered in advanced courses are introduced. The textbook is designed in a modular fashion to maximize flexibility and facilitate adaptation to a given course outline and student profile. Each chapter begins with a list of student learning outcomes, and examples and diagrams are given throughout the text to reinforce ideas and provide guidance on how to approach various problems. Suggested exercises are included at the end of each section, with selected answers at the end of the textbook."--BCcampus website.
Author: Frank E. Harris Publisher: Academic Press ISBN: 0128010495 Category : Mathematics Languages : en Pages : 787
Book Description
Mathematics for Physical Science and Engineering is a complete text in mathematics for physical science that includes the use of symbolic computation to illustrate the mathematical concepts and enable the solution of a broader range of practical problems. This book enables professionals to connect their knowledge of mathematics to either or both of the symbolic languages Maple and Mathematica. The book begins by introducing the reader to symbolic computation and how it can be applied to solve a broad range of practical problems. Chapters cover topics that include: infinite series; complex numbers and functions; vectors and matrices; vector analysis; tensor analysis; ordinary differential equations; general vector spaces; Fourier series; partial differential equations; complex variable theory; and probability and statistics. Each important concept is clarified to students through the use of a simple example and often an illustration. This book is an ideal reference for upper level undergraduates in physical chemistry, physics, engineering, and advanced/applied mathematics courses. It will also appeal to graduate physicists, engineers and related specialties seeking to address practical problems in physical science. - Clarifies each important concept to students through the use of a simple example and often an illustration - Provides quick-reference for students through multiple appendices, including an overview of terms in most commonly used applications (Mathematica, Maple) - Shows how symbolic computing enables solving a broad range of practical problems
Author: Tara Brabazon Publisher: Routledge ISBN: 1317150872 Category : Language Arts & Disciplines Languages : en Pages : 303
Book Description
Imagine if a student spent as much time managing information as celebrities doted on dieting? While eating too much food may be the basis of a moral panic about obesity, excessive information is rarely discussed as a crisis of a similar scale. Obviously, plentiful and high quality food is not a problem if eating is balanced with exercise. But without the skills of media and information literacy, students and citizens wade through low quality online information that fills their day yet does not enable intellectual challenge, imagination and questioning. Digital Dieting: From Information Obesity to Intellectual Fitness probes the social, political and academic difficulties in managing large quantities of low quality information. But this book does not diagnose a crisis. Instead, Digital Dieting provides strategies to develop intellectual fitness that sorts the important from the irrelevant and the remarkable from the banal. In April 2010, and for the first time, Facebook received more independent visitors than Google. Increasingly there is a desire to share rather than search. But what is the impact of such a change on higher education? If students complain that the reading is ’too hard’, then one response is to make it easier. If students complain that assignments are too difficult, then one way to manage this challenge is to make the assignments simpler. Both are passive responses that damage the calibre of education and universities in the long term. Digital Dieting: From Information Obesity to Intellectual Fitness provides active, conscious, careful and applicable strategies to move students and citizens from searching to researching, sharing to thinking, and shopping to reading.
Author: Alexandre V. Borovik
Author: Alexandre V. Borovik
Author: Gene H. Golub
Author: A. K. Hazra
Author: Edward Barry Saff
Author: Eddie Zacapa
Author: Kenneth Kuttler
Author: Alonzo Kelly
Author: R. K. Nanstad
Author: Frank E. Harris
Author: Tara Brabazon