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Abstract Algebra: A First Course (Textbooks in Mathematics)

Stephen Lovett
4.9/5 (33438 ratings)
Read Now Download Now ⏭ listen AudioBook
Description:When a student of mathematics studies abstract algebra, he or she inevitably faces questions in the vein of, "What is abstract algebra" or "What makes it abstract?"Algebra, in its broadest sense, describes a way of thinking about classes of sets equipped with binary operations. In high school algebra, a student explores properties of operations (+, -, �, and �) on real numbers.Abstract algebra studies properties of operations without specifying what types of number or object we work with. Any theorem established in the abstract context holds not only for real numbers but for every possible algebraic structure that has operations with the stated properties.This textbook intends to serve as a first course in abstract algebra. The selection of topics serves both of the common trends in such a course: a balanced introduction to groups, rings, and fields; or a course that primarily emphasizes group theory.The writing style is student-centered, conscientiously motivating definitions and offering many illustrative examples. Various sections or sometimes just examples or exercises introduce applications to geometry, number theory, cryptography and many other areas.This book offers a unique feature in the lists of projects at the end of each section. the author does not view projects as just something extra or cute, but rather an opportunity for a student to work on and demonstrate their potential for open-ended investigation.The projects ideas come in two flavors: investigative or expository. The investigative projects briefly present a topic and posed open-ended questions that invite the student to explore the topic, asking and to trying to answer their own questions.Expository projects invite the student to explore a topic with algebraic content or pertain to a particular mathematician's work through responsible research.The exercises challenge the student to prove new results using the theorems presented in the text. The student then becomes an active participant in the development of the field.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Abstract Algebra: A First Course (Textbooks in Mathematics). To get started finding Abstract Algebra: A First Course (Textbooks in Mathematics), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.
Pages
557
Format
PDF, EPUB & Kindle Edition
Publisher
—
Release
—
ISBN
1000605442

Abstract Algebra: A First Course (Textbooks in Mathematics)

Stephen Lovett
4.4/5 (1290744 ratings)
Read Now Download now ⏭ listen AudioBook
Description: When a student of mathematics studies abstract algebra, he or she inevitably faces questions in the vein of, "What is abstract algebra" or "What makes it abstract?"Algebra, in its broadest sense, describes a way of thinking about classes of sets equipped with binary operations. In high school algebra, a student explores properties of operations (+, -, �, and �) on real numbers.Abstract algebra studies properties of operations without specifying what types of number or object we work with. Any theorem established in the abstract context holds not only for real numbers but for every possible algebraic structure that has operations with the stated properties.This textbook intends to serve as a first course in abstract algebra. The selection of topics serves both of the common trends in such a course: a balanced introduction to groups, rings, and fields; or a course that primarily emphasizes group theory.The writing style is student-centered, conscientiously motivating definitions and offering many illustrative examples. Various sections or sometimes just examples or exercises introduce applications to geometry, number theory, cryptography and many other areas.This book offers a unique feature in the lists of projects at the end of each section. the author does not view projects as just something extra or cute, but rather an opportunity for a student to work on and demonstrate their potential for open-ended investigation.The projects ideas come in two flavors: investigative or expository. The investigative projects briefly present a topic and posed open-ended questions that invite the student to explore the topic, asking and to trying to answer their own questions.Expository projects invite the student to explore a topic with algebraic content or pertain to a particular mathematician's work through responsible research.The exercises challenge the student to prove new results using the theorems presented in the text. The student then becomes an active participant in the development of the field.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Abstract Algebra: A First Course (Textbooks in Mathematics). To get started finding Abstract Algebra: A First Course (Textbooks in Mathematics), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.
Pages
557
Format
PDF, EPUB & Kindle Edition
Publisher
—
Release
—
ISBN
1000605442

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