A Unified Introduction to Linear Algebra
Title | A Unified Introduction to Linear Algebra PDF eBook |
Author | Alan Tucker |
Publisher | MacMillan Publishing Company |
Total Pages | 570 |
Release | 1988 |
Genre | Algebras, Linear |
ISBN |
Introduction to Applied Linear Algebra
Title | Introduction to Applied Linear Algebra PDF eBook |
Author | Stephen Boyd |
Publisher | Cambridge University Press |
Total 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 |
Total Pages | 360 |
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.
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 | |
Total Pages | 284 |
Release | 2009 |
Genre | Algebras, Linear |
ISBN | 9780971576674 |
A (Terse) Introduction to Linear Algebra
Title | A (Terse) Introduction to Linear Algebra PDF eBook |
Author | Yitzhak Katznelson |
Publisher | American Mathematical Soc. |
Total 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.
Linear Algebra
Title | Linear Algebra PDF eBook |
Author | Hugo J. Woerdeman |
Publisher | CRC Press |
Total Pages | 284 |
Release | 2021-03-04 |
Genre | Mathematics |
ISBN | 1000345874 |
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.
Matrix Algebra for Linear Models
Title | Matrix Algebra for Linear Models PDF eBook |
Author | Marvin H. J. Gruber |
Publisher | John Wiley & Sons |
Total Pages | 391 |
Release | 2013-12-13 |
Genre | Mathematics |
ISBN | 111860881X |
A self-contained introduction to matrix analysis theory and applications in the field of statistics Comprehensive in scope, Matrix Algebra for Linear Models offers a succinct summary of matrix theory and its related applications to statistics, especially linear models. The book provides a unified presentation of the mathematical properties and statistical applications of matrices in order to define and manipulate data. Written for theoretical and applied statisticians, the book utilizes multiple numerical examples to illustrate key ideas, methods, and techniques crucial to understanding matrix algebra’s application in linear models. Matrix Algebra for Linear Models expertly balances concepts and methods allowing for a side-by-side presentation of matrix theory and its linear model applications. Including concise summaries on each topic, the book also features: Methods of deriving results from the properties of eigenvalues and the singular value decomposition Solutions to matrix optimization problems for obtaining more efficient biased estimators for parameters in linear regression models A section on the generalized singular value decomposition Multiple chapter exercises with selected answers to enhance understanding of the presented material Matrix Algebra for Linear Models is an ideal textbook for advanced undergraduate and graduate-level courses on statistics, matrices, and linear algebra. The book is also an excellent reference for statisticians, engineers, economists, and readers interested in the linear statistical model.