introduction linear algebra undergraduate 2024

Introduction to Linear Algebra Undergraduate

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This is a short text in linear algebra intended for a oneterm 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

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Linear Algebra An Introduction to

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Based on lectures given at Claremont McKenna College this text constitutes a substantial abstract introduction to linear algebra The presentation emphasizes the structural elements over the computational for example by connecting matrices to linear transformations from the outset and prepares the student for further study of abstract mathematics Uniquely among algebra texts at this level it introduces group theory early in the discussion as an example of the rigorous development of informal axiomatic systems

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Linear Algebra An Introduction to

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Based on lectures given at Claremont McKenna College this text constitutes a substantial abstract introduction to linear algebra The presentation emphasizes the structural elements over the computational for example by connecting matrices to linear transformations from the outset and prepares the student for further study of abstract mathematics Uniquely among algebra texts at this level it introduces group theory early in the discussion as an example of the rigorous development of informal axiomatic systems

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Linear Algebra An Introduction to

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Based on lectures given at Claremont McKenna College this text constitutes a substantial abstract introduction to linear algebra The presentation emphasizes the structural elements over the computational for example by connecting matrices to linear transformations from the outset and prepares the student for further study of abstract mathematics Uniquely among algebra texts at this level it introduces group theory early in the discussion as an example of the rigorous development of informal axiomatic systems

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Numerical Linear Algebra A Concise

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This book offers an introduction to the algorithmicnumerical thinking using basic problems of linear algebra By focusing on linear algebra it ensures a stronger thematic coherence than is otherwise found in introductory lectures on numerics The book highlights the usefulness of matrix partitioning compared to a component view leading not only to a clearer notation and shorter algorithms but also to significant runtime gains in modern computer architectures The algorithms and accompanying numerical examples are given in the programming environment MATLAB and additionally in an appendix in the futureoriented freely accessible programming language Julia This book is suitable for a twohour lecture on numerical linear algebra from the second semester of a bachelors degree in mathematics

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Linear Algebra for the Young

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Linear Algebra for the Young Mathematician is a careful thorough and rigorous introduction to linear algebra It adopts a conceptual point of view focusing on the notions of vector spaces and linear transformations and it takes pains to provide proofs that bring out the essential ideas of the subject It begins at the beginning assuming no prior knowledge of the subject but goes quite far and it includes many topics not usually treated in introductory linear algebra texts such as Jordan canonical form and the spectral theorem While it concentrates on the finitedimensional case it treats the infinitedimensional case as well The book illustrates the centrality of linear algebra by providing numerous examples of its application within mathematics It contains a wide variety of both conceptual and computational exercises at all levels from the relatively straightforward to the quite challenging Readers of this book will not only come away with the knowledge that the results of linear algebra are true but also with a deep understanding of why they are true

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Computational Methods of Linear Algebra

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HardbackExLibrarywith usual stamps markings in good allround conditiondust jacket in fair condition621pages

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Linear Algebra An Introductory Approach

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This revised and updated fourth edition designed for upper division courses in linear algebra includes the basic results on vector spaces over fields determinants the theory of a single linear transformation and inner product spaces While it does not presuppose an earlier course many connections between linear algebra and calculus are worked into the discussion A special feature is the inclusion of sections devoted to applications of linear algebra which can either be part of a course or used for independent study and new to this edition is a section on analytic methods in matrix theory with applications to Markov chains in probability theory Proofs of all the main theorems are included and are presented on an equal footing with methods for solving numerical problems Worked examples are integrated into almost every section to bring out the meaning of the theorems and illustrate techniques for solving problems Many numerical exercises make use of all the ideas and develop computational skills while exercises of a theoretical nature provide opportunities for students to discover for themselves

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Linear Algebra Done Right Undergraduate

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Linear Algebra Done Right Undergraduate

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This text for a second course in linear algebra aimed at math majors and graduates adopts a novel approach by banishing determinants to the end of the book and focusing on understanding the structure of linear operators on vector spaces The author has taken unusual care to motivate concepts and to simplify proofs For example the book presents without having defined determinants a clean proof that every linear operator on a finitedimensional complex vector space has an eigenvalue The book starts by discussing vector spaces linear independence span basics and dimension Students are introduced to innerproduct spaces in the first half of the book and shortly thereafter to the finite dimensional spectral theorem A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra This second edition features new chapters on diagonal matrices on linear functionals and adjoints and on the spectral theorem some sections such as those on selfadjoint and normal operators have been entirely rewritten and hundreds of minor improvements have been made throughout the text

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Applied Linear Algebra and Matrix

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This new book offers a fresh approach to matrix and linear algebra by providing a balanced blend of applications theory and computation while highlighting their interdependence Intended for a onesemester course Applied Linear Algebra and Matrix Analysis places special emphasis on linear algebra as an experimental science with numerous examples computer exercises and projects While the flavor is heavily computational and experimental the text is independent of specific hardware or software platforms Throughout the book significant motivating examples are woven into the text and each section ends with a set of exercises

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Linear Algebra Done Right Undergraduate

Explore tips, opinions, and features on Linear Algebra Done Right Undergraduate sold at 350.81 $ ; this product is listed in the Books & Magazines category, produced by , and sold by Abebooks.com.

This bestselling textbook for a second course in linear algebra is aimed at undergrad math majors and graduate students The novel approach taken here banishes determinants to the end of the book The text focuses on the central goal of linear algebra understanding the structure of linear operators on finitedimensional vector spaces The author has taken unusual care to motivate concepts and to simplify proofs A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebraThe third edition contains major improvements and revisions throughout the book More than 300 new exercises have been added since the previous edition Many new examples have been added to illustrate the key ideas of linear algebra New topics covered in the book include product spaces quotient spaces and dual spaces Beautiful new formatting creates pages with an unusually pleasant appearance in both print and electronic versionsNo prerequisites are assumed other than the usual demand for suitable mathematical maturity Thus the text starts by discussing vector spaces linear independence span basis and dimension The book then deals with linear maps eigenvalues and eigenvectors Innerproduct spaces are introduced leading to the finitedimensional spectral theorem and its consequences Generalized eigenvectors are then used to provide insight into the structure of a linear operator

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Linear Algebra and Matrices Topics

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Linear algebra and matrix theory are fundamental tools for almost every area of mathematics both pure and applied This book combines coverage of core topics with an introduction to some areas in which linear algebra plays a key role for example block designs directed graphs error correcting codes and linear dynamical systems Notable features include a discussion of the Weyr characteristic and Weyr canonical forms and their relationship to the betterknown Jordan canonical form the use of block cyclic matrices and directed graphs to prove Frobeniuss theorem on the structure of the eigenvalues of a nonnegative irreducible matrix and the inclusion of such combinatorial topics as BIBDs Hadamard matrices and strongly regular graphs Also included are McCoys theorem about matrices with property P the BruckRyserChowla theorem on the existence of block designs and an introduction to Markov chains This book is intended for those who are familiar with the linear algebra covered in a typical first course and are interested in learning more advanced results

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Linear Algebra and Matrices Topics

Explore tips, opinions, and features on Linear Algebra and Matrices Topics sold at 53.01 $ ; this product is listed in the Books & Magazines category, produced by , and sold by Abebooks.com.

Linear algebra and matrix theory are fundamental tools for almost every area of mathematics both pure and applied This book combines coverage of core topics with an introduction to some areas in which linear algebra plays a key role for example block designs directed graphs error correcting codes and linear dynamical systems Notable features include a discussion of the Weyr characteristic and Weyr canonical forms and their relationship to the betterknown Jordan canonical form the use of block cyclic matrices and directed graphs to prove Frobeniuss theorem on the structure of the eigenvalues of a nonnegative irreducible matrix and the inclusion of such combinatorial topics as BIBDs Hadamard matrices and strongly regular graphs Also included are McCoys theorem about matrices with property P the BruckRyserChowla theorem on the existence of block designs and an introduction to Markov chains This book is intended for those who are familiar with the linear algebra covered in a typical first course and are interested in learning more advanced results

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Linear Algebra for the Young

Find tips, reviews, and features on Linear Algebra for the Young sold for 50.94 $ , available in the Books & Magazines category; this product belongs to and is sold by Abebooks.com.

Linear Algebra for the Young Mathematician is a careful thorough and rigorous introduction to linear algebra It adopts a conceptual point of view focusing on the notions of vector spaces and linear transformations and it takes pains to provide proofs that bring out the essential ideas of the subject It begins at the beginning assuming no prior knowledge of the subject but goes quite far and it includes many topics not usually treated in introductory linear algebra texts such as Jordan canonical form and the spectral theorem While it concentrates on the finitedimensional case it treats the infinitedimensional case as well The book illustrates the centrality of linear algebra by providing numerous examples of its application within mathematics It contains a wide variety of both conceptual and computational exercises at all levels from the relatively straightforward to the quite challenging Readers of this book will not only come away with the knowledge that the results of linear algebra are true but also with a deep understanding of why they are true

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Applied Linear Algebra and Matrix

Discover information, advice, and prices for Applied Linear Algebra and Matrix, priced at 56.86 $ : it belongs to the Books & Magazines category; this product is sold by Abebooks.com and made by .

This new book offers a fresh approach to matrix and linear algebra by providing a balanced blend of applications theory and computation while highlighting their interdependence Intended for a onesemester course Applied Linear Algebra and Matrix Analysis places special emphasis on linear algebra as an experimental science with numerous examples computer exercises and projects While the flavor is heavily computational and experimental the text is independent of specific hardware or software platforms Throughout the book significant motivating examples are woven into the text and each section ends with a set of exercises

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Linear Algebra with Python Theory

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Very Good condition Shows only minor signs of wear and very minimal markings inside if any 175

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Applied Linear Algebra Undergraduate Texts

Explore tips, opinions, and features on Applied Linear Algebra Undergraduate Texts sold at 56.93 $ ; this product is listed in the Books & Magazines category, produced by , and sold by Abebooks.com.

This textbook develops the essential tools of linear algebra with the goal of imparting technique alongside contextual understanding Applications go handinhand with theory each reinforcing and explaining the other This approach encourages students to develop not only the technical proficiency needed to go on to further study but an appreciation for when why and how the tools of linear algebra can be used across modern applied mathematicsProviding an extensive treatment of essential topics such as Gaussian elimination inner products and norms and eigenvalues and singular values this text can be used for an indepth first course or an applicationdriven second course in linear algebra In this second edition applications have been updated and expanded to include numerical methods dynamical systems data analysis and signal processing while the pedagogical flow of the core material has been improved Throughout the text emphasizes the conceptual connections between each application and the underlying linear algebraic techniques thereby enabling students not only to learn how to apply the mathematical tools in routine contexts but also to understand what is required to adapt to unusual or emerging problemsNo previous knowledge of linear algebra is needed to approach this text with singlevariable calculus as the only formal prerequisite However the reader will need to draw upon some mathematical maturity to engage in the increasing abstraction inherent to the subject Once equipped with the main tools and concepts from this book students will be prepared for further study in differential equations numerical analysis data science and statistics and a broad range of applications The first authors text Introduction to Partial Differential Equations is an ideal companion volume forming a natural extension of the linear mathematical methods developed here

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Applied Linear Algebra and Matrix

Discover information, advice, and prices for Applied Linear Algebra and Matrix sold for 46.77 $ , available in the Books & Magazines category; this product is sold by Abebooks.com and made by .

This new book offers a fresh approach to matrix and linear algebra by providing a balanced blend of applications theory and computation while highlighting their interdependence Intended for a onesemester course Applied Linear Algebra and Matrix Analysis places special emphasis on linear algebra as an experimental science with numerous examples computer exercises and projects While the flavor is heavily computational and experimental the text is independent of specific hardware or software platforms Throughout the book significant motivating examples are woven into the text and each section ends with a set of exercises

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Application Inspired Linear Algebra Springer

Discover information, advice, and prices for Application Inspired Linear Algebra Springer, priced at 57.14 $ : it belongs to the Books & Magazines category; this product is sold by Abebooks.com and made by .

This item is printed on demand

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introduction linear algebra undergraduate




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