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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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.

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Right now, contrasts are noted where fitting.

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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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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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1649919920

This course is an in-depth introduction to functions. Our study will be guided by some goals, and related essential questions that are designed to get at the essence of the idea of a function.

**Publication date**: 01 May 2015**Paperback**: 309 pages**Type**: Textbook**License**: Creative Commons Attribution 4.0 International

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

This textbook is designed to provide you with a basic reference for the topics within. That said, it cannot learn for you, nor can your instructor; ultimately, the responsibility for learning the material lies with you. Before beginning the mathematics, I would like to tell you a little about what research tells us are the best strategies for learning. Here are some of the principles you should adhere to for the greatest success:

This course is an in-depth introduction to functions. Our study will be guided by some goals, and related essential questions that are designed to get at the essence of the idea of a function.

Course Goals

The overall goal of this course is to understand the concept of a function. This is a multi-faceted task, to be accomplished by developing several more specific understandings related to functions:

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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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