A Unified Introduction to Linear Algebra
Title | A Unified Introduction to Linear Algebra PDF eBook |
Author | Alan Tucker |
Publisher | MacMillan Publishing Company |
Pages | 568 |
Release | 1988 |
Genre | Mathematics |
ISBN |
Introduction to Applied Linear Algebra
Title | Introduction to Applied Linear Algebra PDF eBook |
Author | Stephen Boyd |
Publisher | Cambridge University Press |
Pages | 477 |
Release | 2018-06-07 |
Genre | Business & Economics |
ISBN | 1316518965 |
A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.
Linear Algebra, Signal Processing, and Wavelets - A Unified Approach
Title | Linear Algebra, Signal Processing, and Wavelets - A Unified Approach PDF eBook |
Author | Øyvind Ryan |
Publisher | Springer |
Pages | 381 |
Release | 2019-03-05 |
Genre | Mathematics |
ISBN | 3030018121 |
This book offers a user friendly, hands-on, and systematic introduction to applied and computational harmonic analysis: to Fourier analysis, signal processing and wavelets; and to their interplay and applications. The approach is novel, and the book can be used in undergraduate courses, for example, following a first course in linear algebra, but is also suitable for use in graduate level courses. The book will benefit anyone with a basic background in linear algebra. It defines fundamental concepts in signal processing and wavelet theory, assuming only a familiarity with elementary linear algebra. No background in signal processing is needed. Additionally, the book demonstrates in detail why linear algebra is often the best way to go. Those with only a signal processing background are also introduced to the world of linear algebra, although a full course is recommended. The book comes in two versions: one based on MATLAB, and one on Python, demonstrating the feasibility and applications of both approaches. Most of the MATLAB code is available interactively. The applications mainly involve sound and images. The book also includes a rich set of exercises, many of which are of a computational nature.
Fundamentals of Linear Algebra
Title | Fundamentals of Linear Algebra PDF eBook |
Author | J.S. Chahal |
Publisher | CRC Press |
Pages | 184 |
Release | 2018-12-07 |
Genre | Mathematics |
ISBN | 0429758103 |
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 (Terse) Introduction to Linear Algebra
Title | A (Terse) Introduction to Linear Algebra PDF eBook |
Author | Yitzhak Katznelson |
Publisher | American Mathematical Soc. |
Pages | 234 |
Release | 2008 |
Genre | Mathematics |
ISBN | 0821844199 |
Linear algebra is the study of vector spaces and the linear maps between them. It underlies much of modern mathematics and is widely used in applications.
Student Solution Manual to Accompany the 4th Edition of Vector Calculus, Linear Algebra, and Differential Forms, a Unified Approach
Title | Student Solution Manual to Accompany the 4th Edition of Vector Calculus, Linear Algebra, and Differential Forms, a Unified Approach PDF eBook |
Author | John Hamal Hubbard |
Publisher | |
Pages | 284 |
Release | 2009 |
Genre | Algebras, Linear |
ISBN | 9780971576674 |
Linear Algebra Done Right
Title | Linear Algebra Done Right PDF eBook |
Author | Sheldon Axler |
Publisher | Springer Science & Business Media |
Pages | 276 |
Release | 1997-07-18 |
Genre | Mathematics |
ISBN | 9780387982595 |
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 finite-dimensional complex vector space has an eigenvalue. The book starts by discussing vector spaces, linear independence, span, basics, and dimension. Students are introduced to inner-product 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 self-adjoint and normal operators, have been entirely rewritten; and hundreds of minor improvements have been made throughout the text.