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Abstrakte Algebra
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eBay-Artikelnr.:357596609064
Artikelmerkmale
- Artikelzustand
- Personalized
- No
- Country/Region of Manufacture
- United States
- ISBN
- 9781032985404
Über dieses Produkt
Product Identifiers
Publisher
CRC Press LLC
ISBN-10
1032985402
ISBN-13
9781032985404
eBay Product ID (ePID)
8074626463
Product Key Features
Number of Pages
556 Pages
Language
English
Publication Name
Abstract Algebra : an Interactive Approach
Subject
General, Algebra / General
Publication Year
2025
Type
Textbook
Subject Area
Mathematics
Series
Textbooks in Mathematics Ser.
Format
Hardcover
Dimensions
Item Length
9.2 in
Item Width
6.1 in
Additional Product Features
Edition Number
3
Intended Audience
Trade
LCCN
2024-057173
Dewey Edition
23/eng/20250109
Illustrated
Yes
Dewey Decimal
512/.02
Synopsis
Abstract Algebra: An Interactive Approach, Third Edition is a new concept in learning modern algebra. Although all the expected topics are covered thoroughly and in the most popular order, the text offers much flexibility. Perhaps more significantly, the book gives professors and students the option of including technology in their courses. Each chapter in the textbook has a corresponding interactive Mathematica notebook and an interactive SageMath workbook that can be used in either the classroom or outside the classroom. Students will be able to visualize the important abstract concepts, such as groups and rings (by displaying multiplication tables), homomorphisms (by showing a line graph between two groups), and permutations. This, in turn, allows the students to learn these difficult concepts much more quickly and obtain a firmer grasp than with a traditional textbook. Thus, the colorful diagrams produced by Mathematica give added value to the students. Teachers can run the Mathematica or SageMath notebooks in the classroom in order to have their students visualize the dynamics of groups and rings. Students have the option of running the notebooks at home, and experiment with different groups or rings. Some of the exercises require technology, but most are of the standard type with various difficulty levels. The third edition is meant to be used in an undergraduate, single-semester course, reducing the breadth of coverage, size, and cost of the previous editions. Additional changes include: Binary operators are now in an independent section. The extended Euclidean algorithm is included. Many more homework problems are added to some sections. Mathematical induction is moved to Section 1.2. Despite the emphasis on additional software, the text is not short on rigor. All of the classical proofs are included, although some of the harder proofs can be shortened by using technology., "Abstract Algebra: An Interactive Approach " is a new concept in learning modern algebra. Although all the expected topics are covered thoroughly and in the most popular order, the text does offer much flexibility. Perhaps more significantly, it gives professors and students the option of including technology in the course. Each chapter in the textbook has a corresponding interactive Mathematica notebook and an interactive SageMath workbook which can be used either in the classroom, or outsideof the classroom. Students will be able to visualize the important abstract concepts, such as groups and rings (by displaying multiplication tables), homomorphisms (by showing a line graph between two groups), and permutations. This in turn allows the students to learn these difficult concepts much more quickly and obtain a firmer grasp than with a traditional textbook. Thus, the colorful diagrams produced by Mathematica give added value to the students. Teachers can run the Mathematica or SageMath notebooks in the classroom to have the studentvisualizethedynamicsofgroupsandrings.Studentshavetheoptionofrunning the notebooks at home, and experiment with different groups or rings.Some of the exercises require technology, but most of the exercises are of the standard type, with various difficulty levels. The third edition is focused for use in an undergraduate single semester course and reduces the breadth of coverage, size, and cost of the previous editions. Additional changes include: § Binary operators are now in an independent section. § The extended Euclidean algorithm is included. § Many more homework problems are added to some sections § Mathematical induction is moved to section 1.2. In spite of the additional software emphasis, the text is not short on rigor.All of the classical proofs are included, although some of the harder proofs can be shortened by using technology., ""Abstract Algebra: An Interactive Approach" is a new concept in learning modern algebra. Although all the expected topics are covered thoroughly and in the most popular order, the text does offer much flexibility. Perhaps more significantly, it gives professors and students the option of including technology in the course. Each chapter in the textbook has a corresponding interactive Mathematica notebook and an interactive SageMath workbook which can be used either in the classroom, or outside of the classroom. Students will be able to visualize the important abstract concepts, such as groups and rings (by displaying multiplication tables), homomorphisms (by showing a line graph between two groups), and permutations. This in turn allows the students to learn these difficult concepts much more quickly and obtain a firmer grasp than with a traditional textbook. Thus, the colorful diagrams produced by Mathematica give added value to the students. Teachers can run the Mathematica or SageMath notebooks in the classroom to have the student visualize the dynamics of groups and rings. Students have the option of running the notebooks at home, and experiment with different groups or rings. Some of the exercises require technology, but most of the exercises are of the standard type, with various difficulty levels. The third edition is focused for use in an undergraduate single semester course and reduces the breadth of coverage, size, and cost of the previous editions. Additional changes include: Binary operators are now in an independent section., The extended Euclidean algorithm is included., Many more homework problems are added to some sections, Mathematical induction is moved to section 1.2. In spite of the additional software emphasis, the text is not short on rigor. All of the classical proofs are included, although some of the harder proofs can be shortened by using technology"--
LC Classification Number
QA162.P38 2025
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