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Linear Algebra for the Young Mathematician

2019-10-29 Education
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Release : 2019-10-29
Genre : Education
Kind : eBook
Book Rating : 844/5 ( reviews)

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Book Synopsis Linear Algebra for the Young Mathematician by : Steven H. Weintraub

Download or read book Linear Algebra for the Young Mathematician written by Steven H. Weintraub. This book was released on 2019-10-29. Available in PDF, EPUB and Kindle. Book excerpt: 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 finite-dimensional case, it treats the infinite-dimensional 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.

Fundamentals of Linear Algebra

2018-12-07 Mathematics
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Release : 2018-12-07
Genre : Mathematics
Kind : eBook
Book Rating : 103/5 ( reviews)

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Book Synopsis Fundamentals of Linear Algebra by : J.S. Chahal

Download or read book Fundamentals of Linear Algebra written by J.S. Chahal. This book was released on 2018-12-07. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Linear Algebra is like no other book on the subject. By following a natural and unified approach to the subject it has, in less than 250 pages, achieved a more complete coverage of the subject than books with more than twice as many pages. For example, the textbooks in use in the United States prove the existence of a basis only for finite dimensional vector spaces. This book proves it for any given vector space. With his experience in algebraic geometry and commutative algebra, the author defines the dimension of a vector space as its Krull dimension. By doing so, most of the facts about bases when the dimension is finite, are trivial consequences of this definition. To name one, the replacement theorem is no longer needed. It becomes obvious that any two bases of a finite dimensional vector space contain the same number of vectors. Moreover, this definition of the dimension works equally well when the geometric objects are nonlinear. Features: Presents theories and applications in an attempt to raise expectations and outcomes The subject of linear algebra is presented over arbitrary fields Includes many non-trivial examples which address real-world problems About the Author: Dr. J.S. Chahal is a professor of mathematics at Brigham Young University. He received his Ph.D. from Johns Hopkins University and after spending a couple of years at the University of Wisconsin as a post doc, he joined Brigham Young University as an assistant professor and has been there ever since. He specializes and has published a number of papers about number theory. For hobbies, he likes to travel and hike, the reason he accepted the position at Brigham Young University

A First Course in Linear Algebra

2020 Algebras, Linear
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Release : 2020
Genre : Algebras, Linear
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis A First Course in Linear Algebra by : Kenneth Kuttler

Download or read book A First Course in Linear Algebra written by Kenneth Kuttler. This book was released on 2020. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Elementary Linear Algebra

2022-04-05 Mathematics
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Release : 2022-04-05
Genre : Mathematics
Kind : eBook
Book Rating : 266/5 ( reviews)

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Book Synopsis Elementary Linear Algebra by : Stephen Andrilli

Download or read book Elementary Linear Algebra written by Stephen Andrilli. This book was released on 2022-04-05. Available in PDF, EPUB and Kindle. Book excerpt: Elementary Linear Algebra, Sixth Edition provides a solid introduction to both the computational and theoretical aspects of linear algebra, covering many important real-world applications, including graph theory, circuit theory, Markov chains, elementary coding theory, least-squares polynomials and least-squares solutions for inconsistent systems, differential equations, computer graphics and quadratic forms. In addition, many computational techniques in linear algebra are presented, including iterative methods for solving linear systems, LDU Decomposition, the Power Method for finding eigenvalues, QR Decomposition, and Singular Value Decomposition and its usefulness in digital imaging. Prepares students with a thorough coverage of the fundamentals of introductory linear algebra Presents each chapter as a coherent, organized theme, with clear explanations for each new concept Builds a foundation for math majors in the reading and writing of elementary mathematical proofs

Linear Algebra

2021-03-04 Mathematics
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Release : 2021-03-04
Genre : Mathematics
Kind : eBook
Book Rating : 874/5 ( reviews)

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Book Synopsis Linear Algebra by : Hugo J. Woerdeman

Download or read book Linear Algebra written by Hugo J. Woerdeman. This book was released on 2021-03-04. Available in PDF, EPUB and Kindle. Book excerpt: There is good reason to be excited about Linear Algebra. With the world becoming increasingly digital, Linear Algebra is gaining more and more importance. When we send texts, share video, do internet searches, there are Linear Algebra algorithms in the background that make it work. This concise introduction to Linear Algebra is authored by a leading researcher presents a book that covers all the requisite material for a first course on the topic in a more practical way. The book focuses on the development of the mathematical theory and presents many applications to assist instructors and students to master the material and apply it to their areas of interest, whether it be to further their studies in mathematics, science, engineering, statistics, economics, or other disciplines. Linear Algebra has very appealing features: •It is a solid axiomatic based mathematical theory that is accessible to a large variety of students. •It has a multitude of applications from many different fields, ranging from traditional science and engineering applications to more ‘daily life’ applications. •It easily allows for numerical experimentation through the use of a variety of readily available software (both commercial and open source). Several suggestions of different software are made. While MATLAB is certainly still a favorite choice, open-source programs such as Sage (especially among algebraists) and the Python libraries are increasingly popular. This text guides the student to try out different programs by providing specific commands.

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