An Approach to Algebra. Volume 1


Book Description

Since mathematical principles have remained the same all throughout the world for centuries, Mathematics has been considered by many the “universal language of numbers”. For some, Mathematics causes anxiety or fear because it seems difficult to understand. One of the objectives of this eBook is to make the material more visually, technologically and multiculturally attractive, with the aid of videos, pictures, games, animations and interactive exercises so that Mathemat-ics can become more interesting and accessible for today’s worldwide students since “evidence is mounting to support technology advocates’ claims that 21st-century information and communication tools, as well as more traditional computer-assisted instructional applications, can positively influence student learning processes and outcomes (Cradler, 2002)”. The role of mathematics in our modern world is crucial for today’s global communication and for a multitude of scientific and technological applications and advances.The author brings a variety of expertise to the subject of Algebra, and includes many illustrated material, equations, tables, figures, and other aids that help understanding the text. Unfamiliar terms and concepts are highlighted and defined in a glossary, and at the end of each chapter website links are provided to help students to enrich their knowledge and to help them practice their skills. The author starts the journey of the eBook from the study of sets, numbers and mathematical logic to introduce the student to arithmetic and the study of sequences. Previous knowledge will allow the student to have the most basic fundamentals to understand terms related to probability and statistics. Finally, the student will acquire the essential knowledge of the fundamental concepts of algebra to apply it to the study of functions and their graphs along with the essence of algebra, solving equations. In the modern world, Algebra is a very important day-to-day tool. It is not only a subject used in a math course but can be applied to many real-life situations. It is not only used by people in daily life, but by many professionals that use it in a wide variety of areas, such as architecture, natural sciences, economy, engineering among others. And the fact is that, as Algebra has advanced in the past, it will continue doing so in the days to come, fulfilling people’s worldwide needs in a greater way.




Algebra


Book Description




Algebra 1


Book Description




Algebra


Book Description

First year graduate algebra text. The choice of topics is guided by the underlying theme of modules as a basic unifying concept in mathematics. Beginning with standard topics in group and ring theory, the authors then develop basic module theory and its use in investigating bilinear, sesquilinear, and quadratic forms. Annotation copyrighted by Book News, Inc., Portland, OR




Algebra 1


Book Description




A Polynomial Approach to Linear Algebra


Book Description

A Polynomial Approach to Linear Algebra is a text which is heavily biased towards functional methods. In using the shift operator as a central object, it makes linear algebra a perfect introduction to other areas of mathematics, operator theory in particular. This technique is very powerful as becomes clear from the analysis of canonical forms (Frobenius, Jordan). It should be emphasized that these functional methods are not only of great theoretical interest, but lead to computational algorithms. Quadratic forms are treated from the same perspective, with emphasis on the important examples of Bezoutian and Hankel forms. These topics are of great importance in applied areas such as signal processing, numerical linear algebra, and control theory. Stability theory and system theoretic concepts, up to realization theory, are treated as an integral part of linear algebra. Finally there is a chapter on Hankel norm approximation for the case of scalar rational functions which allows the reader to access ideas and results on the frontier of current research.







The Algebra Tutor: Algebra I and II


Book Description

A self-taught manual that was created to challenge every child's ability to learn and master skills in Algebra. The manual also includes answers, follow-up examples (Look-A-Like) and a glossary.




Algebra 1


Book Description