Algebra: Abstract And Concrete

This text provides a thorough introduction to modern or abstract algebra at a level suitable for upper-level undergraduates and beginning graduate students.

**Tag(s):**
Linear Algebra

**Publication date**: 01 Aug 2006

**ISBN-10**:
n/a

**ISBN-13**:
n/a

**Paperback**:
585 pages

**Views**: 22,912

**Type**: Textbook

**Publisher**:
Semisimple Press, Iowa City

**License**:
n/a

**Post time**: 17 Sep 2006 07:00:33

Algebra: Abstract And Concrete

This text provides a thorough introduction to modern or abstract algebra at a level suitable for upper-level undergraduates and beginning graduate students.

Terms and Conditions:

Book Excerpts:

This text provides a thorough introduction to "modern" or "abstract" algebra at a level suitable for upper-level undergraduates and beginning graduate students.

The book addresses the conventional topics: groups, rings, fields, and linear algebra, with symmetry as a unifying theme. This subject matter is central and ubiquitous in modern mathematics and in applications ranging from quantum physics to digital communications.

The most important goal of this book is to engage students in the active practice of mathematics. Students are given the opportunity to participate and investigate, starting on the first page. Exercises are plentiful, and working exercises should be the heart of the course.

The required background for using this text is a standard first course in linear algebra. Also included is a brief summary of linear algebra in an appendix to help students review. There are also appendices on sets, logic, mathematical induction, and complex numbers. It might also be useful to recommend a short supplementary text on set theory, logic, and proofs to be used as a reference and aid; several such texts are currently available.

Frederick M. Goodman wrote:If you use this text in a course, or if you make serious use of the text for private study, I ask you to do two things.

1. In place of an author's royalty, make a donation of $10 or more to some organization devoted to relieving the misery of the world, for example Unicef, Doctors Without Borders, or Oxfam.

2. Contact me and let me know that you are using the text. I will be happy to hear suggestions for improvements.

Book Excerpts:

This text provides a thorough introduction to "modern" or "abstract" algebra at a level suitable for upper-level undergraduates and beginning graduate students.

The book addresses the conventional topics: groups, rings, fields, and linear algebra, with symmetry as a unifying theme. This subject matter is central and ubiquitous in modern mathematics and in applications ranging from quantum physics to digital communications.

The most important goal of this book is to engage students in the active practice of mathematics. Students are given the opportunity to participate and investigate, starting on the first page. Exercises are plentiful, and working exercises should be the heart of the course.

The required background for using this text is a standard first course in linear algebra. Also included is a brief summary of linear algebra in an appendix to help students review. There are also appendices on sets, logic, mathematical induction, and complex numbers. It might also be useful to recommend a short supplementary text on set theory, logic, and proofs to be used as a reference and aid; several such texts are currently available.

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