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In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;
methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and
methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.

As a result, the book represents a blend of new methods in general computational analysis,
and specific, but also generic, techniques for study of systems theory ant its particular
branches, such as optimal filtering and information compression.

- Best operator approximation,
- Non-Lagrange interpolation,
- Generic Karhunen-Loevetransform
- Generalised low-rank matrix approximation
- Optimal data compression
- Optimal nonlinear filtering ... Read more

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Cubic Function. Linear equation, Quadratic equation, Quartic function, Quintic equation, Polynomial, Newton's method, Spline (mathematics), Franciscus Vieta ... Read more

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This volume is produced from digital images created through the University of Michigan University Library's preservation reformatting program. The Library seeks to preserve the intellectual content of items in a manner that facilitates and promotes a variety of uses. The digital reformatting process results in an electronic version of the text that can both be accessed online and used to create new print copies. This book and thousands of others can be found in the digital collections of the University of Michigan Library. The University Library also understands and values the utility of print, and makes reprints available through its Scholarly Publishing Office. ... Read more

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Quadratic equations and inequalities can be a challenge to any budding mathematician.It is with this in mind that the authors, all experienced mathematicians and teachers, offer Solving Math Quadratic Equations and Inequalities, a booklet designed as a supplement for the high school student interested in going beyond Algebra 2 and into advanced math.

In addition to more traditional approached such as quadratic formulas and factoring, the authors offer their innovative methods, methods not developed in other math textbooks, encouraging students to use mental math as well as graphs and number lines.

Precise, utilitarian, and to-the-point, Solving Math Equations and Inequalities will not only help the secondary students and their teachers, but anyone who wishes to review the concepts contained within.

... Read more

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This digital document is an article from Journal of Mathematics and Statistics, published by Science Publications on April 1, 2009. The length of the article is 969 words. The page length shown above is based on a typical 300-word page. The article is delivered in HTML format and is available immediately after purchase. You can view it with any web browser.

From the author: Key words: Einstein, special theory of relativity, sudarshan's hypothesis, superluminal phenomena, quadratic equations and new conjecture

Citation Details
Title: On algebra and tachyons.(Report)
Author: M. Sivasubramanian
Publication: Journal of Mathematics and Statistics (Magazine/Journal)
Date: April 1, 2009
Publisher: Science Publications
Volume: 5Issue: 2Page: 88(2)

Article Type: Report

Distributed by Gale, a part of Cengage Learning ... Read more

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56 pages ... Read more

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A set of eight workbooks with two separate answers and notes booklets for books 1-4 and books 5-7. First two workbooks 1 and 2 are not in this set, and aswers and notes for 8-10 are not in this set. ... Read more

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Math textbook with table of contents as shown in second image. Differs from standard teacher's edition by inclusion of New Mexico Mathematics Teacher Handbook with table of contents as pictured in third image. ... Read more

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This book is divided into two parts. The first part is preliminary and consists of algebraic number theory and the theory of semisimple algebras. There are two principal topics: classification of quadratic forms and quadratic Diophantine equations. The second topic is a new framework which contains the investigation of Gauss on the sums of three squares as a special case.To make the bookconcise, the author proves some basic theorems in number theory only in some special cases. However, the book is self-contained when the base field is the rational number field, and the main theorems are statedwith an arbitrary number field as the base field. So the reader familiar with class field theory will be able to learn the arithmetic theory of quadratic forms with no further references. ... Read more