linear algebra with applications pdf

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Lineare Algebra

Author : Gilbert Strang
ISBN : 9783642556319
Genre : Mathematics
File Size : 20. 51 MB
Format : PDF, ePub
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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.

Linear Algebra With Applications Alternate Edition

Author : Gareth Williams
ISBN : 9781449679569
Genre : Mathematics
File Size : 85. 99 MB
Format : PDF, ePub
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Introductory courses in Linear Algebra can be taught in a variety of ways and the order of topics offered may vary based on the needs of the students. Linear Algebra with Applications, Alternate Eighth Edition provides instructors with an additional presentation of course material. In this edition earlier chapters cover systems of linear equations, matrices, and determinants. The more abstract material on vector spaces starts later, in Chapter 4, with the introduction of the vector space R(n). This leads directly into general vector spaces and linear transformations. This alternate edition is especially appropriate for students preparing to apply linear equations and matrices in their own fields. Clear, concise, and comprehensive--the Alternate Eighth Edition continues to educate and enlighten students, leading to a mastery of the matehmatics and an understainding of how to apply it. New and Key Features of the Alternate Eighth Edition: - Updated and revised throughout with new section material and exercises included in every chapter. - Provides students with a flexible blend of theory, important numerical techniques and interesting relevant applications. - Includes discussions of the role of linear algebra in many areas such as the operation of the Google search engine and the global structure of the worldwide air transportation network. - A MATLAB manual that ties into the regular course material is included as an appendix. These ideas can be implemented on any matrix algebra software package. A graphing calculator manual is also included. - A Student Solutions Manual that contain solutions to selected exercises is available as a supplement, An Instructor Complete Solutions Manual containing worked solutions to all exercises is also available.

Elementary Linear Algebra

Author : Howard Anton
ISBN : 9780470432051
Genre : Mathematics
File Size : 71. 20 MB
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Elementary Linear Algebra 10th edition gives an elementary treatment of linear algebra that is suitable for a first course for undergraduate students. The aim is to present the fundamentals of linear algebra in the clearest possible way; pedagogy is the main consideration. Calculus is not a prerequisite, but there are clearly labeled exercises and examples (which can be omitted without loss of continuity) for students who have studied calculus. Technology also is not required, but for those who would like to use MATLAB, Maple, or Mathematica, or calculators with linear algebra capabilities, exercises are included at the ends of chapters that allow for further exploration using those tools.

Linear Algebra With Applications

Author : W. Keith Nicholson
ISBN : UOM:39015064764171
Genre : Algebras, Linear
File Size : 49. 39 MB
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W. Keith Nicholson's Linear Algebra with Applications, Fifth Canadian Edition is written for first and second year students at both the college or university level. Its real world approach challenges students step-by-step, gradually bringing them to a higher level of understanding from abstract to more general concepts. Real world applications have been added to the new edition, including:Directed graphsGoogle PageRankComputer graphicsCorrelation and VarianceFinite Fields and Linear CodesIn addition to the new applications, the author offers several new exercises and examples throughout each chapter. Some new examples include:motivating matrix multiplication (Chapter 2)a new way to expand a linearly independent set to a basis using an existing basisWhile some instructors will use the text for one semester, ending at Chapter 5 The Vector Space Rn others will continue with more abstract concepts being introduced. Chapter 5 prepares students for the transition, acting as the "bridging" chapter, allowing challenging concepts like subspaces, spanning, independence and dimension to be assimilated first in the concrete context of Rn. This "bridging" concept eases students into the introduction of vector spaces in Chapter 6.

Linear Algebra With Applications Alternate Edition

Author : Angela Williams
ISBN : 9780763790899
Genre : Mathematics
File Size : 69. 93 MB
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Building upon the sequence of topics of the popular 5th Edition, Linear Algebra with Applications, Alternate Seventh Edition provides instructors with an alternative presentation of course material. In this edition earlier chapters cover systems of linear equations, matrices, and determinates. The vector space Rn is introduced in chapter 4, leading directly into general vector spaces and linear transformations. This order of topics is ideal for those preparing to use linear equations and matrices in their own fields. New exercises and modern, real-world applications allow students to test themselves on relevant key material and a MATLAB manual, included as an appendix, provides 29 sections of computational problems.

Lineare Algebra

Author : Howard Anton
ISBN : 3827403243
Genre : Mathematics
File Size : 69. 72 MB
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In Ihrer Hand liegt ein Lehrbuch - in sieben englischsprachigen Ausgaben praktisch erprobt - das Sie mit groem didaktischen Geschick, zudem angereichert mit zahlreichen Ubungsaufgaben, in die Grundlagen der linearen Algebra einfuhrt. Kenntnisse der Analysis werden fur das Verstandnis nicht generell vorausgesetzt, sind jedoch fur einige besonders gekennzeichnete Beispiele notig. Padagogisch erfahren, behandelt der Autor grundlegende Beweise im laufenden Text; fur den interessierten Leser jedoch unverzichtbare Beweise finden sich am Ende der entsprechenden Kapitel. Ein weiterer Vorzug des Buches: Die Darstellung der Zusammenhange zwischen den einzelnen Stoffgebieten - linearen Gleichungssystemen, Matrizen, Determinanten, Vektoren, linearen Transformationen und Eigenwerten.

Elementary Linear Algebra With Applications

Author : Richard O. Hill
ISBN : 0030103479
Genre : Mathematics
File Size : 49. 68 MB
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This edition strives to develop students' geometric intuition as a foundation for learning the concepts of span and linear independence. Applications are integrated throughout to illustrate the mathematics and to motivate the student. Numerical ideas and concepts using the computer are interspersed throughout the text; instructors can use these at their discretion. This textbook allows the instructor considerable flexibility to choose the applications and numerical topics to be covered according to his or her tastes and the students' needs.

Advanced Linear Algebra

Author : Steven Roman
ISBN : 9780387728315
Genre : Mathematics
File Size : 37. 5 MB
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This graduate level textbook covers an especially broad range of topics. The book first offers a careful discussion of the basics of linear algebra. It then proceeds to a discussion of modules, emphasizing a comparison with vector spaces, and presents a thorough discussion of inner product spaces, eigenvalues, eigenvectors, and finite dimensional spectral theory, culminating in the finite dimensional spectral theorem for normal operators. The new edition has been revised and contains a chapter on the QR decomposition, singular values and pseudoinverses, and a chapter on convexity, separation and positive solutions to linear systems.

Introduction To Linear Algebra With Applications

Author : Stephen H. Friedberg
ISBN : UOM:39015017305825
Genre : Mathematics
File Size : 59. 59 MB
Format : PDF, Kindle
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Matrix Theory And Applications With Matlab

Author : Darald J. Hartfiel
ISBN : 1584881089
Genre : Mathematics
File Size : 41. 31 MB
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Designed for use in a second course on linear algebra, Matrix Theory and Applications with MATLAB covers the basics of the subject-from a review of matrix algebra through vector spaces to matrix calculus and unitary similarity-in a presentation that stresses insight, understanding, and applications. Among its most outstanding features is the integration of MATLAB throughout the text. Each chapter includes a MATLAB subsection that discusses the various commands used to do the computations in that section and offers code for the graphics and some algorithms used in the text. All of the material is presented from a matrix point of view with enough rigor for students to learn to compose arguments and proofs and adjust the material to cover other problems. The treatment includes optional subsections covering applications, and the final chapters move beyond basic matrix theory to discuss more advanced topics, such as decompositions, positive definite matrices, graphics, and topology. Filled with illustrations, examples, and exercises that reinforce understanding, Matrix Theory and Applications with MATLAB allows readers to experiment and visualize results in a way that no other text does. Its rigor, use of MATLAB, and focus on applications better prepares them to use the material in their future work and research, to extend the material, and perhaps obtain new results of their own.

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