Lineare Algebra


Author: Gilbert Strang
Publisher: Springer-Verlag
ISBN: 3642556310
Category: Mathematics
Page: 656
View: 1565

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Diese Einführung in die lineare Algebra bietet einen sehr anschaulichen Zugang zum Thema. Die englische Originalausgabe wurde rasch zum Standardwerk in den Anfängerkursen des Massachusetts Institute of Technology sowie in vielen anderen nordamerikanischen Universitäten. Auch hierzulande ist dieses Buch als Grundstudiumsvorlesung für alle Studenten hervorragend lesbar. Darüber hinaus gibt es neue Impulse in der Mathematikausbildung und folgt dem Trend hin zu Anwendungen und Interdisziplinarität. Inhaltlich umfasst das Werk die Grundkenntnisse und die wichtigsten Anwendungen der linearen Algebra und eignet sich hervorragend für Studierende der Ingenieurwissenschaften, Naturwissenschaften, Mathematik und Informatik, die einen modernen Zugang zum Einsatz der linearen Algebra suchen. Ganz klar liegt hierbei der Schwerpunkt auf den Anwendungen, ohne dabei die mathematische Strenge zu vernachlässigen. Im Buch wird die jeweils zugrundeliegende Theorie mit zahlreichen Beispielen aus der Elektrotechnik, der Informatik, der Physik, Biologie und den Wirtschaftswissenschaften direkt verknüpft. Zahlreiche Aufgaben mit Lösungen runden das Werk ab.

Lineare Algebra


Author: Gilbert Strang
Publisher: Springer
ISBN: 9783540439493
Category: Mathematics
Page: 656
View: 8425

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Diese Einführung in die lineare Algebra bietet einen sehr anschaulichen Zugang zum Thema. Die englische Originalausgabe wurde rasch zum Standardwerk in den Anfängerkursen des Massachusetts Institute of Technology sowie in vielen anderen nordamerikanischen Universitäten. Auch hierzulande ist dieses Buch als Grundstudiumsvorlesung für alle Studenten hervorragend lesbar. Darüber hinaus gibt es neue Impulse in der Mathematikausbildung und folgt dem Trend hin zu Anwendungen und Interdisziplinarität. Inhaltlich umfasst das Werk die Grundkenntnisse und die wichtigsten Anwendungen der linearen Algebra und eignet sich hervorragend für Studierende der Ingenieurwissenschaften, Naturwissenschaften, Mathematik und Informatik, die einen modernen Zugang zum Einsatz der linearen Algebra suchen. Ganz klar liegt hierbei der Schwerpunkt auf den Anwendungen, ohne dabei die mathematische Strenge zu vernachlässigen. Im Buch wird die jeweils zugrundeliegende Theorie mit zahlreichen Beispielen aus der Elektrotechnik, der Informatik, der Physik, Biologie und den Wirtschaftswissenschaften direkt verknüpft. Zahlreiche Aufgaben mit Lösungen runden das Werk ab.

Introduction to Linear Algebra


Author: Gilbert Strang
Publisher: Wellesley-Cambridge Press
ISBN: 9780980232776
Category: Mathematics
Page: 600
View: 8904

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Linear algebra is something all mathematics undergraduates and many other students, in subjects ranging from engineering to economics, have to learn. The fifth edition of this hugely successful textbook retains all the qualities of earlier editions while at the same time seeing numerous minor improvements and major additions. The latter include: • A new chapter on singular values and singular vectors, including ways to analyze a matrix of data • A revised chapter on computing in linear algebra, with professional-level algorithms and code that can be downloaded for a variety of languages • A new section on linear algebra and cryptography • A new chapter on linear algebra in probability and statistics. A dedicated and active website also offers solutions to exercises as well as new exercises from many different sources (e.g. practice problems, exams, development of textbook examples), plus codes in MATLAB, Julia, and Python.

Introduction to Linear Algebra, 2nd edition


Author: T.A. Whitelaw
Publisher: CRC Press
ISBN: 9780751401592
Category: Mathematics
Page: 288
View: 1105

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This popular textbook was thoughtfully and specifically tailored to introducing undergraduate students to linear algebra. The second edition has been carefully revised to improve upon its already successful format and approach. In particular, the author added a chapter on quadratic forms, making this one of the most comprehensive introductory texts on linear algebra.

A Concise Introduction to Linear Algebra


Author: Géza Schay
Publisher: Springer Science & Business Media
ISBN: 0817683259
Category: Mathematics
Page: 330
View: 7195

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Building on the author's previous edition on the subject (Introduction to Linear Algebra, Jones & Bartlett, 1996), this book offers a refreshingly concise text suitable for a standard course in linear algebra, presenting a carefully selected array of essential topics that can be thoroughly covered in a single semester. Although the exposition generally falls in line with the material recommended by the Linear Algebra Curriculum Study Group, it notably deviates in providing an early emphasis on the geometric foundations of linear algebra. This gives students a more intuitive understanding of the subject and enables an easier grasp of more abstract concepts covered later in the course. The focus throughout is rooted in the mathematical fundamentals, but the text also investigates a number of interesting applications, including a section on computer graphics, a chapter on numerical methods, and many exercises and examples using MATLAB. Meanwhile, many visuals and problems (a complete solutions manual is available to instructors) are included to enhance and reinforce understanding throughout the book. Brief yet precise and rigorous, this work is an ideal choice for a one-semester course in linear algebra targeted primarily at math or physics majors. It is a valuable tool for any professor who teaches the subject.

An Introduction to Linear Algebra


Author: L. Mirsky
Publisher: Courier Corporation
ISBN: 0486166449
Category: Mathematics
Page: 464
View: 3154

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Rigorous, self-contained coverage of determinants, vectors, matrices and linear equations, quadratic forms, more. Elementary, easily readable account with numerous examples and problems at the end of each chapter.

A Modern Introduction to Linear Algebra


Author: Henry Ricardo
Publisher: CRC Press
ISBN: 1439894612
Category: Mathematics
Page: 670
View: 5348

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Useful Concepts and Results at the Heart of Linear Algebra A one- or two-semester course for a wide variety of students at the sophomore/junior undergraduate level A Modern Introduction to Linear Algebra provides a rigorous yet accessible matrix-oriented introduction to the essential concepts of linear algebra. Concrete, easy-to-understand examples motivate the theory. The book first discusses vectors, Gaussian elimination, and reduced row echelon forms. It then offers a thorough introduction to matrix algebra, including defining the determinant naturally from the PA=LU factorization of a matrix. The author goes on to cover finite-dimensional real vector spaces, infinite-dimensional spaces, linear transformations, and complex vector spaces. The final chapter presents Hermitian and normal matrices as well as quadratic forms. Taking a computational, algebraic, and geometric approach to the subject, this book provides the foundation for later courses in higher mathematics. It also shows how linear algebra can be used in various areas of application. Although written in a "pencil and paper" manner, the text offers ample opportunities to enhance learning with calculators or computer usage. Solutions manual available for qualifying instructors

Introduction to Linear Algebra


Author: Marvin Marcus,Henryk Minc
Publisher: Courier Corporation
ISBN: 9780486656953
Category: Mathematics
Page: 261
View: 9717

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Rigorous, self-contained introduction at undergraduate level covers vector spaces and linear transformations, linear equations and determinants, characteristic roots. Includes 16 sets of true-false quizzes and exercises — with worked-out solutions — a complete theory of permutations and much more.

An Introduction to Linear Algebra and Tensors


Author: M. A. Akivis,V. V. Goldberg
Publisher: Courier Corporation
ISBN: 0486148785
Category: Mathematics
Page: 192
View: 6051

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Eminently readable, completely elementary treatment begins with linear spaces and ends with analytic geometry, covering multilinear forms, tensors, linear transformation, and more. 250 problems, most with hints and answers. 1972 edition.

Introduction to Linear Algebra and Differential Equations


Author: John W. Dettman
Publisher: Courier Corporation
ISBN: 0486158314
Category: Mathematics
Page: 432
View: 7574

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Excellent introductory text focuses on complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions, more. Includes 48 black-and-white illustrations. Exercises with solutions. Index.

Introduction to Linear Algebra


Author: Serge Lang
Publisher: Springer Science & Business Media
ISBN: 1461210704
Category: Mathematics
Page: 293
View: 8393

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This is a short text in linear algebra, intended for a one-term course. In the first chapter, Lang discusses the relation between the geometry and the algebra underlying the subject, and gives concrete examples of the notions which appear later in the book. He then starts with a discussion of linear equations, matrices and Gaussian elimination, and proceeds to discuss vector spaces, linear maps, scalar products, determinants, and eigenvalues. The book contains a large number of exercises, some of the routine computational type, while others are conceptual.

An introduction to linear algebra


Author: Hans Samelson
Publisher: Wiley-Interscience
ISBN: N.A
Category: Mathematics
Page: 265
View: 4710

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Vector spaces; Linear combinations; Dimension basis; Linear functionals and linear equations; Linear equations, abstractly; Matrices; Determinants; Linear transformations; Eigenvectors eigenvalues; Minimum polynomial: jordan form; Quadratic form; Inner products; The spectral theorem.

Introduction to Linear Algebra in Geology


Author: J. Ferguson
Publisher: Springer Science & Business Media
ISBN: 9780412493508
Category: Mathematics
Page: 203
View: 4588

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Introduction to Linear Algebra in Geology introduces linear algebra to students of geology and explores the possibilities of using the techniques as an aid to solving geological problems which can be solved numerically. A basic knowledge of geology is assumed.

Introduction to linear algebra


Author: Lee W. Johnson,Ronald Dean Riess,Jimmy Thomas Arnold
Publisher: Addison-Wesley Longman
ISBN: 9780201168334
Category: Mathematics
Page: 578
View: 9901

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Introduction to Non-linear Algebra


Author: Valeri? Valer?evich Dolotin,A. Morozov,Al?bert Dmitrievich Morozov
Publisher: World Scientific
ISBN: 9812708006
Category: Mathematics
Page: 269
View: 6672

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Literaturverz. S. 267 - 269

Concise Introduction to Linear Algebra


Author: Qingwen Hu
Publisher: CRC Press
ISBN: 1351697455
Category: Mathematics
Page: 220
View: 9320

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Concise Introduction to Linear Algebra deals with the subject of linear algebra, covering vectors and linear systems, vector spaces, orthogonality, determinants, eigenvalues and eigenvectors, singular value decomposition. It adopts an efficient approach to lead students from vectors, matrices quickly into more advanced topics including, LU decomposition, orthogonal decomposition, Least squares solutions, Gram-Schmidt process, eigenvalues and eigenvectors, diagonalizability, spectral decomposition, positive definite matrix, quadratic forms, singular value decompositions and principal component analysis. This book is designed for onesemester teaching to undergraduate students.

Introduction to Numerical Linear Algebra and Optimisation


Author: Philippe G. Ciarlet,Bernadette Miara,Jean-Marie Thomas
Publisher: Cambridge University Press
ISBN: 9780521339841
Category: Computers
Page: 436
View: 5845

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Based on courses taught to advanced undergraduate students, this book offers a broad introduction to the methods of numerical linear algebra and optimization. The prerequisites are familiarity with the basic properties of matrices, finite-dimensional vector spaces and advanced calculus, and some exposure to fundamental notions from functional analysis. The book is divided into two parts. The first part deals with numerical linear algebra (numerical analysis of matrices, direct and indirect methods for solving linear systems, calculation of eigenvalues and eigenvectors) and the second, optimizations (general algorithms, linear and nonlinear programming). Summaries of basic mathematics are provided, proof of theorems are complete yet kept as simple as possible, applications from physics and mechanics are discussed, a great many exercises are included, and there is a useful guide to further reading.