Introduction To Linear Algebra: Computation, Application, and Theory, Debonis Mark J.

Автор: Strang, Gilbert (massachusetts Institute Of Technology)
Название: Introduction to linear algebra, 6 ed.
ISBN: 1733146679 ISBN-13(EAN): 9781733146678
Издательство: Amazon Internet
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Описание: Linear algebra now rivals or surpasses calculus in importance for people working in quantitative fields of all kinds: engineers, scientists, economists and business people. Gilbert Strang has taught linear algebra at MIT for more than 50 years and the course he developed has become a model for teaching around the world. His video lectures on MIT OpenCourseWare have been viewed over ten million times and his twelve textbooks are popular with readers worldwide. This sixth edition of Professor Strang's most popular book, Introduction to Linear Algebra, introduces the ideas of independent columns and the rank and column space of a matrix early on for a more active start. Then the book moves directly to the classical topics of linear equations, fundamental subspaces, least squares, eigenvalues and singular values – in each case expressing the key idea as a matrix factorization. The final chapters of this edition treat optimization and learning from data: the most active application of linear algebra today. Everything is explained thoroughly in Professor Strang's characteristic clear style. It is sure to delight and inspire the delight and inspire the next generation of learners.

Автор: Bornemann, Folkmar
Название: Numerical linear algebra
ISBN: 3319742213 ISBN-13(EAN): 9783319742212
Издательство: Springer
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Цена: 51230.00 T
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Описание: Preface.- I Computing with Matrices.- II Matrix Factorization.- III Error Analysis.- IV Least Squares.- V Eigenvalue Problems.- Appendix.- Notation.- Index.

Автор: Serge Lang
Название: Introduction to Linear Algebra
ISBN: 1461270022 ISBN-13(EAN): 9781461270027
Издательство: Springer
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Цена: 52130.00 T
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Описание: This is a short text in linear algebra, intended for a one-term course. 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.

Автор: Michael W. Frazier
Название: An Introduction to Wavelets Through Linear Algebra
ISBN: 1475772998 ISBN-13(EAN): 9781475772999
Издательство: Springer
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Цена: 55850.00 T
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Описание: Mathematics majors at Michigan State University take a "Capstone" course near the end of their undergraduate careers. The content of this course varies with each offering. Its purpose is to bring together different topics from the undergraduate curriculum and introduce students to a developing area in mathematics. This text was originally written for a Capstone course. Basicwavelettheoryisanaturaltopicforsuchacourse. Byname, wavelets date back only to the 1980s. On the boundary between mathematics and engineering, wavelet theory shows students that mathematics research is still thriving, with important applications in areas such as image compression and the numerical solution of differential equations. The author believes that the essentials of wavelet theory are suf?ciently elementary to be taught successfully to advanced undergraduates. This text is intended for undergraduates, so only a basic background in linear algebra and analysis is assumed. We do not require familiarity with complex numbers and the roots of unity. These are introduced in the ?rst two sections of chapter 1. In the remainder of chapter 1 we review linear algebra. Students should be familiar with the basic de?nitions in sections 1. 3 and 1. 4. From our viewpoint, linear transformations are the primary object of study; v Preface vi a matrix arises as a realization of a linear transformation. Many students may have been exposed to the material on change of basis in section 1. 4, but may bene't from seeing it again. In section 1.

Автор: Bruce F. Torrence, Eve A. Torrence
Название: The Student`s Introduction to Mathematica and the Wolfram Language
ISBN: 110840636X ISBN-13(EAN): 9781108406369
Издательство: Cambridge Academ
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Цена: 51750.00 T
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Описание: This book introduces Mathematica (R) and the Wolfram Language (TM) in the context of the standard university mathematics curriculum. It equips current and former students to harness these tools to explore ideas from pre-calculus, calculus, and linear algebra. Additional chapters on programming and 3D printing provide outlets for further exploration.

Автор: Strang, Gilbert
Название: Introduction to linear algebra
ISBN: 1733146652 ISBN-13(EAN): 9781733146654
Издательство: Cambridge Academ
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Цена: 79190.00 T
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Описание: 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 the quality 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; and 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.

Автор: Wendland Holger
Название: Numerical Linear Algebra
ISBN: 131660117X ISBN-13(EAN): 9781316601174
Издательство: Cambridge Academ
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Цена: 40120.00 T
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Описание: This self-contained introduction to numerical linear algebra provides a comprehensive, yet concise, overview of the subject. This book will be of particular use to applied mathematicians, engineers, computer scientists, and to all those interested in efficiently solving linear problems.

Автор: Gill, Philip E.,
Название: Numerical linear algebra and optimization /
ISBN: 1611976561 ISBN-13(EAN): 9781611976564
Издательство: Mare Nostrum (Eurospan)
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Цена: 74410.00 T
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Описание: Numerical Linear Algebra and Optimization covers the fundamentals of closely related topics: linear systems (linear equations and least-squares) and linear programming (optimizing a linear function subject to linear constraints). For each problem class, stable and efficient numerical algorithms intended for a finite-precision environment are derived and analyzed. In 1991, when the book first appeared, these topics were rarely taught with a unified perspective, and, somewhat surprisingly, this remains true almost 30 years later. As a result, some of the material in this book can be difficult to find elsewhere—in particular, techniques for updating the LU factorization, descriptions of the simplex method applied to all-inequality form, and the analysis of what happens when using an approximate inverse to solve Ax=b.This book is appropriate for students who want to learn about numerical techniques for solving linear systems and/or linear programming using the simplex method.

Автор: Koepf
Название: Computer Algebra
ISBN: 3030780198 ISBN-13(EAN): 9783030780197
Издательство: Springer
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Цена: 51230.00 T
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Описание: Presented using Mathematica code, the book is fully supported by downloadable sessions in Mathematica, Maple, and Maxima.Opening with an introduction to computer algebra systems and the basics of programming mathematical algorithms, the book goes on to explore integer arithmetic.

Автор: Lang
Название: Introduction to Linear Algebra
ISBN: 0387962050 ISBN-13(EAN): 9780387962054
Издательство: Springer
Цена: 52130.00 T
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Описание: This is a short text in linear algebra, intended for a one-term course. 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.

Автор: Mills, Gordon
Название: Introduction to linear algebra
ISBN: 0202361594 ISBN-13(EAN): 9780202361598
Издательство: Taylor&Francis
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Цена: 46950.00 T
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Описание: A book on linear algebra which deals only with those aspects of the subject applicable in the social sciences. It provides an understanding of linear algebra for those who wish to use it as a tool in the design, execution, and interpretation of research. It illustrates some of the applications of linear analysis.

Автор: Nachtergaele Bruno Et Al
Название: Linear Algebra As An Introduction To Abstract Mathematics
ISBN: 9814723770 ISBN-13(EAN): 9789814723770
Издательство: World Scientific Publishing
Цена: 31680.00 T
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Описание:

This is an introductory textbook designed for undergraduate mathematics majors with an emphasis on abstraction and in particular, the concept of proofs in the setting of linear algebra. Typically such a student would have taken calculus, though the only prerequisite is suitable mathematical grounding. The purpose of this book is to bridge the gap between the more conceptual and computational oriented undergraduate classes to the more abstract oriented classes. The book begins with systems of linear equations and complex numbers, then relates these to the abstract notion of linear maps on finite-dimensional vector spaces, and covers diagonalization, eigenspaces, determinants, and the Spectral Theorem. Each chapter concludes with both proof-writing and computational exercises.