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eBook A Concrete Approach to Abstract Algebra: From the Integers to the Insolvability of the Quintic epub

by Jeffrey Bergen

eBook A Concrete Approach to Abstract Algebra: From the Integers to the Insolvability of the Quintic epub
  • ISBN: 0123749417
  • Author: Jeffrey Bergen
  • Genre: Science
  • Subcategory: Mathematics
  • Language: English
  • Publisher: Academic Press; 1 edition (February 11, 2010)
  • Pages: 720 pages
  • ePUB size: 1876 kb
  • FB2 size 1883 kb
  • Formats lrf rtf azw lrf


Jeffrey Bergen (DePaul, Chicago), received his . in Mathematics from Brooklyn College in 1976

Jeffrey Bergen (DePaul, Chicago), received his . in Mathematics from Brooklyn College in 1976. in 1981 from the University of Chicago. He has given lectures in 7 countries and co-authored papers with 16 mathematicians around the world.

For example, abstract algebra books often state, without xi. Abstract algebra courses that do not run for a full year might need to omit Chapters 15 and 17.

For example, abstract algebra books often state, without xii. Preface proof, the Fundamental Theorem of Algebra or the Fundamental Theorem of Galois theory and then use them to prove other results. I believe this approach can stand in the way of students gaining a deep understanding and appreciation of algebra. This allows us to deal with fields, Galois groups, and the insolvability of the quintic more concretely in Chapters 15 and 17, as we only need to work with fields that are contained in the complex numbers. In this case, Section . can also be omitted.

Beginning with a concrete and thorough examination of familiar objects like integers, rational . 16. Geometric Constructions - Ch. 17. Insolvability of the Quintic.

Beginning with a concrete and thorough examination of familiar objects like integers, rational numbers, real numbers, complex numbers, complex conjugation and polynomials, in this unique approach, the author builds upon these familiar objects and then uses them to introduce and motivate advanced concepts in algebra in a manner that is easier to understand for most students.

Start by marking Concrete Approach to Abstract Algebra: From the .

Start by marking Concrete Approach to Abstract Algebra: From the Integers to the Insolvability of the Quintic as Want to Read: Want to Read savin. ant to Read. Read by Jeffrey Bergen. The final four chapters presentthe more theoretical material needed for graduate study.

Use features like bookmarks, note taking and highlighting while reading A Concrete Approach to Abstract Algebra: From .

Use features like bookmarks, note taking and highlighting while reading A Concrete Approach to Abstract Algebra: From the Integers to the Insolvability of the Quintic.

Presents a more natural 'rings first' approach to effectively leading the student into the the abstract material of the course by the use of motivating concepts from previous math courses to guide the discussion of abstract algebra Bridges the gap for students by showing how most of the concepts within an abstract algebra course are actually tools used to solve difficult, but.

It begins with a concrete and thorough examination of familiar objects such as integers . 623. Chapter 17 Insolvability of the Quintic.

It begins with a concrete and thorough examination of familiar objects such as integers, rational numbers, real numbers, complex numbers, complex conjugation, and polynomials. The author then builds upon these familiar objects and uses them to introduce and motivate advanced concepts in algebra in a manner that is easier to understand for most students. Presents a more natural 'rings first' approach to effectively leading the student into the the abstract material of the course by the use of motivating concepts from previous math courses to guide the discussion of abstract algebra.

Tags: Abstract Algebra Abstract Algebra Books Algebra 1 Algebra Book Algebra Problems Algebra Textbook Basic .

Tags: Abstract Algebra Abstract Algebra Books Algebra 1 Algebra Book Algebra Problems Algebra Textbook Basic Algebra Linear Algebra Book Linear Algebra Textbook Math Modern Algebra Modern Algebra Textbook.

Adopting the unique 'rings first' approach, the work provides a gentle transition into abstract structures that will make abstract algebra more natural to interested readers

begins with a concrete and thorough examination of familiar objects like integers . Algebra : From the Integers to the Insolvability of the Quintic.

book by Jeffrey Bergen. A Concrete Approach to Abstract Algebra : From the Integers to the Insolvability of the Quintic.

A Concrete Approach to Abstract Algebra presents a solid and highly accessible introduction to abstract algebra by providing details on the building blocks of abstract algebra.

It begins with a concrete and thorough examination of familiar objects such as integers, rational numbers, real numbers, complex numbers, complex conjugation, and polynomials. The author then builds upon these familiar objects and uses them to introduce and motivate advanced concepts in algebra in a manner that is easier to understand for most students. Exercises provide a balanced blend of difficulty levels, while the quantity allows the instructor a latitude of choices. The final four chapters present the more theoretical material needed for graduate study.

This text will be of particular interest to teachers and future teachers as it links abstract algebra to many topics which arise in courses in algebra, geometry, trigonometry, precalculus, and calculus.

Presents a more natural 'rings first' approach to effectively leading the student into the the abstract material of the course by the use of motivating concepts from previous math courses to guide the discussion of abstract algebraBridges the gap for students by showing how most of the concepts within an abstract algebra course are actually tools used to solve difficult, but well-known problems Builds on relatively familiar material (Integers, polynomials) and moves onto more abstract topics, while providing a historical approach of introducing groups first as automorphisms Exercises provide a balanced blend of difficulty levels, while the quantity allows the instructor a latitude of choices
Comments: (4)
Moogugore
This book is not good for elementary learners. The contexts contain lots of mathematical languages and general forms of theorems are presented which make the book more difficult to understand. It suits only for those who already have a high degree of knowledge of abstract algebra to read.
Djang
Some mathematical formulas are unreadable in kindle 3 and kindle dxg as they are generated in image formats. I also tried the kindle app in my android tablet (Xoom). The image formulas can be displayed in a very good way but some special notations cannot be showed properly (the notations for natural number set, interger set, complex number set, etc).
Even though the content is really inspiring for self study, I will recommend to buy a paper book instead. The kindle version is poorly generated.
anonymous
Perfect great condition
Yojin
Downloaded trial after reading other user's review on the text. Kindle version did not translate the character set correctly. Missing key symbols in equations. Makes exercises difficult to decipher at best.

Kindle version should be removed as an option, but trial could get you by until paper version arrives in the mail.
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