Algebra

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Algebra And Geometry

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Author : Alan F. Beardon
language : en
Publisher: Cambridge University Press
Release Date : 2005-05-12

Algebra And Geometry written by Alan F. Beardon and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05-12 with Mathematics categories.

Describing two cornerstones of mathematics, this basic textbook presents a unified approach to algebra and geometry. It covers the ideas of complex numbers, scalar and vector products, determinants, linear algebra, group theory, permutation groups, symmetry groups and aspects of geometry including groups of isometries, rotations, and spherical geometry. The book emphasises the interactions between topics, and each topic is constantly illustrated by using it to describe and discuss the others. Many ideas are developed gradually, with each aspect presented at a time when its importance becomes clearer. To aid in this, the text is divided into short chapters, each with exercises at the end. The related website features an HTML version of the book, extra text at higher and lower levels, and more exercises and examples. It also links to an electronic maths thesaurus, giving definitions, examples and links both to the book and to external sources.

From Model To Algebra

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Author : Dr Yeap Ban Har
language : en
Publisher: Shing Lee Publishers Pte Ltd
Release Date :

From Model To Algebra written by Dr Yeap Ban Har and has been published by Shing Lee Publishers Pte Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.

Algebra is fundamental in the learning of mathematics. In Singapore, students begin the learning of formal algebra in primary six (Singapore Ministry of Education, 2006a). In secondary school, algebra features prominently in the curriculum (Singapore Ministry of Education, 2006b). Prior to learning formal algebra, primary school students use the model method as one of the methods to solve word problems. The model method is one of the most recognised features of the Singapore mathematics curriculum (Singapore Ministry of Education, 2009). It has been found that the model method has allowed primary school students without access to formal algebra a means to represent and solve algebraic word problems (Ng & Lee, 2009). Research has indicated that students encounter a variety of difficulties in formal algebra. These include understanding the meaning of letters used in formal algebra (Kuchemann, 1981) and translating information in text into algebraic equations (e.g. Stacey & MacGregor, 2000). The use of concrete and pictorial representations has been found to help students in solving word problems (e.g. Lewis, 1989; Willis & Fuson, 1988). While the model method has helped students solve word problems using pictorial representations, such representations are seldom harnessed for beginning students in formal algebra to acquire skills in algebraic manipulation. This book aims to do the latter. There has been much evidence that the model method can be integrated with the algebraic method (Kho, 1987, 2005, 2007; Beckmann, 2004). Secondary school teachers have been trained to show the relationship between the model method and the algebraic method (Kho, 2007). This book fleshes out this approach using topics in lower secondary algebra. This book focuses on helping students develop a strong foundation in algebraic manipulation. Basic algebraic manipulations including writing, evaluating, expanding, simplifying, and factorising algebraic expressions and solving algebraic equations are introduced pictorially. While it is not the intention that students to always rely on pictorial representations when doing algebra, the model method serves as a good starting point for students to learn algebraic manipulation meaningfully. It is hoped that this book will provide teachers with a resource to help students make the transition from the model method to formal algebra. As for students who find formal algebra daunting, this book serves as a bridge.

Numerical Linear Algebra

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Author : Lloyd N. Trefethen
language : en
Publisher: SIAM
Release Date : 1997-01-01

Numerical Linear Algebra written by Lloyd N. Trefethen and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-01 with Mathematics categories.

A concise, insightful, and elegant introduction to the field of numerical linear algebra. Designed for use as a stand-alone textbook in a one-semester, graduate-level course in the topic, it has already been class-tested by MIT and Cornell graduate students from all fields of mathematics, engineering, and the physical sciences. The authors' clear, inviting style and evident love of the field, along with their eloquent presentation of the most fundamental ideas in numerical linear algebra, make it popular with teachers and students alike.

The Beginnings And Evolution Of Algebra

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Author : I. G. Bashmakova
language : en
Publisher: Cambridge University Press
Release Date : 2000-04-27

The Beginnings And Evolution Of Algebra written by I. G. Bashmakova and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-04-27 with Mathematics categories.

An examination of the evolution of one of the cornerstones of modern mathematics.

Number And Its Algebra

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Author : Arthur Lefevre
language : en
Publisher:
Release Date : 1896

Number And Its Algebra written by Arthur Lefevre and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1896 with Algebra categories.

An Academic Algebra

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Author : James Morford Taylor
language : en
Publisher:
Release Date : 1893

An Academic Algebra written by James Morford Taylor and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1893 with Algebra categories.

Algebra

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Author : Falko Lorenz
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-27

Algebra written by Falko Lorenz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-27 with Mathematics categories.

This is Volume II of a two-volume introductory text in classical algebra. The text moves methodically with numerous examples and details so that readers with some basic knowledge of algebra can read it without difficulty. It is recommended either as a textbook for some particular algebraic topic or as a reference book for consultations in a selected fundamental branch of algebra. The book contains a wealth of material. Amongst the topics covered in Volume are the theory of ordered fields and Nullstellen Theorems. Known researcher Lorenz also includes the fundamentals of the theory of quadratic forms, of valuations, local fields and modules. What’s more, the book contains some lesser known or nontraditional results – for instance, Tsen's results on the solubility of systems of polynomial equations with a sufficiently large number of indeterminates.

Algebra

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Author : B.L. van der Waerden
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-10-17

Algebra written by B.L. van der Waerden and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-10-17 with Mathematics categories.

This beautiful text transformed the graduate teaching of algebra in Europe and the United States. It clearly and succinctly formulated the conceptual and structural insights which Noether had expressed so forcefully and combined it with the elegance and understanding with which Artin had lectured. This second volume of the English translation of B.L. van der Waerden’s text Algebra is the first softcover printing of the original translation.

A School Algebra

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Author : Simon Newcomb
language : en
Publisher:
Release Date : 1882

A School Algebra written by Simon Newcomb and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1882 with Algebra categories.

Algebra And Number Theory

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Author : Martyn R. Dixon
language : en
Publisher: John Wiley & Sons
Release Date : 2011-07-15

Algebra And Number Theory written by Martyn R. Dixon and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-15 with Mathematics categories.

Explore the main algebraic structures and number systems that play a central role across the field of mathematics Algebra and number theory are two powerful branches of modern mathematics at the forefront of current mathematical research, and each plays an increasingly significant role in different branches of mathematics, from geometry and topology to computing and communications. Based on the authors' extensive experience within the field, Algebra and Number Theory has an innovative approach that integrates three disciplines—linear algebra, abstract algebra, and number theory—into one comprehensive and fluid presentation, facilitating a deeper understanding of the topic and improving readers' retention of the main concepts. The book begins with an introduction to the elements of set theory. Next, the authors discuss matrices, determinants, and elements of field theory, including preliminary information related to integers and complex numbers. Subsequent chapters explore key ideas relating to linear algebra such as vector spaces, linear mapping, and bilinear forms. The book explores the development of the main ideas of algebraic structures and concludes with applications of algebraic ideas to number theory. Interesting applications are provided throughout to demonstrate the relevance of the discussed concepts. In addition, chapter exercises allow readers to test their comprehension of the presented material. Algebra and Number Theory is an excellent book for courses on linear algebra, abstract algebra, and number theory at the upper-undergraduate level. It is also a valuable reference for researchers working in different fields of mathematics, computer science, and engineering as well as for individuals preparing for a career in mathematics education.