1649909892

This text is an introduction to algebra for undergraduates who are interested in careers which require a strong background in mathematics.

**Publication date**: 31 Dec 2009**Paperback**: 419 pages**Type**: Textbook**License**: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Generic

This text is an introduction to algebra for undergraduates who are interested in careers which require a strong background in mathematics. It will benefit students studying computer science and physical sciences, who plan to teach mathematics in schools, or to work in industry or finance. The book assumes that the reader has a solid background in linear algebra. For the first 12 chapters elementary operations, elementary matrices, linear independence and rank are important. In the second half of the book abstract vector spaces are used. Students will need to have experience proving results. Some acquaintance with Euclidean geometry is also desirable. In fact I have found that a course in Euclidean geometry fits together very well with the algebra in the first 12 chapters. But one can avoid the geometry in the book by simply omitting chapter 7 and the geometric parts of chapters 9 and 18.

The material in the book is organized linearly. There are few excursions away from the main path. The only significant parts which can be omitted are those just mentioned, the section in chapter 12 on P SL(2, Fp), chapter 13 on abelian groups and the section in chapter 14 on Berlekamp's algorithm.

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1594369800

**SQL** stands for Structured Query Language. SQL is a scripting language expected to store, control, and inquiry information put away in social databases. The main manifestation of SQL showed up in 1974, when a gathering in IBM built up the principal model of a social database. The primary business social database was discharged by Relational Software later turning out to be Oracle.

Models for SQL exist. In any case, the SQL that can be utilized on every last one of the major RDBMS today is in various flavors. This is because of two reasons:

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Right now, contrasts are noted where fitting.

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1649909892

This text is an introduction to algebra for undergraduates who are interested in careers which require a strong background in mathematics.

**Publication date**: 31 Dec 2009**Paperback**: 419 pages**Type**: Textbook**License**: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Generic

This text is an introduction to algebra for undergraduates who are interested in careers which require a strong background in mathematics. It will benefit students studying computer science and physical sciences, who plan to teach mathematics in schools, or to work in industry or finance. The book assumes that the reader has a solid background in linear algebra. For the first 12 chapters elementary operations, elementary matrices, linear independence and rank are important. In the second half of the book abstract vector spaces are used. Students will need to have experience proving results. Some acquaintance with Euclidean geometry is also desirable. In fact I have found that a course in Euclidean geometry fits together very well with the algebra in the first 12 chapters. But one can avoid the geometry in the book by simply omitting chapter 7 and the geometric parts of chapters 9 and 18.

The material in the book is organized linearly. There are few excursions away from the main path. The only significant parts which can be omitted are those just mentioned, the section in chapter 12 on P SL(2, Fp), chapter 13 on abelian groups and the section in chapter 14 on Berlekamp's algorithm.

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1649908828

A textbook for Math 225 Modern Algebra Course in Department of Mathematics and Computer Science at Clark University.

**Publication date**: 05 Dec 2017**Paperback**: 179 pages**Type**: Textbook

**From the Course Webpage:***David Joyce wrote:*

Course goals.

- To provide students with a good understanding of the theory of modern algebra as described in the syllabus.
- To help students develop the ability to prove theorems and solve problems.
- To introduce students to some of the basic methods of modern algebra.
- To develop abstract and critical reasoning by studying logical proofs and the axiomatic method as applied to modern algebra.
- To make connections between modern algebra and other branches of mathematics, and to see some of the history of the subject.

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1649906263

This book provides very clear and comprehensive coverage of the usual Elementary Algebra topics, as well as some Intermediate Algebra material. It provides plenty of examples and very robust, well-constructed exercise sets.

**Publisher**: The Saylor Foundation**Publication date**: 01 Jan 2011**License**: Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported**Document Type**: Textbook

**Excerpts from the Preface:**

It is essential to lay a solid foundation in mathematics if a student is to be competitive in today's global market. The importance of algebra, in particular, cannot be overstated, as it is the basis of all mathematical modeling used in applications found in all disciplines. Traditionally, the study of algebra is separated into a two parts, elementary algebra and intermediate algebra. This textbook, Elementary Algebra, is the first part, written in a clear and concise manner, making no assumption of prior algebra experience. It carefully guides students from the basics to the more advanced techniques required to be successful in the next course.This text is, by far, the best elementary algebra textbook offered under a Creative Commons license. It is written in such a way as to maintain maximum flexibility and usability. A modular format was carefully integrated into the design. For example, certain topics, like functions, can be covered or omitted without compromising the overall flow of the text. An introduction of square roots in Chapter 1 is another example that allows for instructors wishing to include the quadratic formula early to do so. Topics such as these are carefully included to enhance the flexibility throughout. This textbook will effectively enable traditional or nontraditional approaches to elementary algebra. This, in addition to robust and diverse exercise sets, provides the base for an excellent individualized textbook instructors can use free of needless edition changes and excessive costs! A few other differences are highlighted below:

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1649920367

This book is an attempt to make the subject of linear algebra as understandable as possible, for a first time student of the subject.

**Publication date**: 01 Feb 2016**Paperback**: 213 pages**Type**: Textbook**License**: Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported

**From the Introduction:***Gregg Waterman wrote:*

This book is an attempt to make the subject of linear algebra as understandable as possible, for a first time student of the subject. I developed the book from a set of notes used to supplement a standard textbook used when I taught the course in the past. At the end of the term I surveyed the students in the class, and the vast majority of them thought that the supplemental notes that I had provided would have been an adequate resource for them to learn the subject. Encouraged by this, I put further work in to correcting errors, adding examples and including material that I had left to the textbook previously. Here is the result, in its fourth edition.

You should look at the table of contents and page through the book a bit at first to see how it is organized. Note in particular that each section begins with statements of the performance criteria addressed in that section. Performance criteria are the specific things that you will be expected to do in order to demonstrate your skills and your understanding of concepts. Within each section you will find examples relating to those performance criteria, and at the end of each chapter are exercises for you to practice your skills and test your understanding.

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