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Description
Basic Abstract Algebra: For Graduate Students and Advanced UndergraduatesGeared toward upper level undergraduates and graduate students, this text surveys fundamental algebraic structures and maps between these structures. Its techniques are used in many areas of mathematics, with applications to physics, engineering, and computer science as well. Author Robert B. Ash, a Professor of Mathematics at the University of Illinois, focuses on intuitive thinking. He also conveys the intrinsic beauty of abstract algebra while
Geared toward upper-level undergraduates and graduate students, this text surveys fundamental algebraic structures and maps between these structures. Its techniques are used in many areas of mathematics, with applications to physics, engineering, and computer science as well. Author Robert B. Ash, a Professor of Mathematics at the University of Illinois, focuses on intuitive thinking. He also conveys the intrinsic beauty of abstract algebra while keeping the proofs as brief and clear as possible.The early chapters provide students with background by investigating the basic properties of groups, rings, fields, and modules. Later chapters examine the relations between groups and sets, the fundamental theorem of Galois theory, and the results and methods of abstract algebra in terms of algebraic number theory, algebraic geometry, noncommutative algebra, and homological algebra, including categories and functors. An extensive supplement to the text delves much further into homological algebra than most introductory texts, offering applications-oriented results. Solutions to all problems appear in the text.
Binding Type: Paperback
Publisher: Dover Publications
Published: 12/01/2006
ISBN: 9780486453569
Pages: 407
Weight: 1.30lbs
Size: 9.10h x 6.40w x 0.80d
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4.3 ★★★★★
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Product Reviews
★★★★★ 3
Very Good - But Conclusion Derails
Format: Paperback
Gaventa wrote an intriguing introduction to the book of Romans.
She begins by setting up what we can know about the setting, and likewise critiques some overreach in some other treatments.
The chapters which traces significant themes of sin/salvation; righteousness; worship; community; and the Jewish problem throughout the book. The threads she knits together move past the simplistic, and are convincing.
Where she loses me is in the conclusion. Her argument that "all" is necessarily universal as it stretches to salvation seems to ignore much of what Paul himself wrote in Romans.
Yes, sin is universal. Salvation is universally available. But universal availability doesn't suggest universal application.
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Reviewed in the United States on January 15, 2022
★★★★★ 5
Excellent eye opening look at the book of Romans
Format: Kindle
The author provides new ways to look at Paul’s message to the Romans, uses classical and contemporary studies, and makes you look at the book in a different way. Highly recommend for anyone - laity or clergy, who teach the Bible
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Reviewed in the United States on April 25, 2020
★★★★★ 5
Excellent!
Format: Kindle
Succinct advice and doesn't rattle on. He hits the highlights and backs up his points with Scripture well. Highly recommended as a starter book on apologetics.
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Reviewed in the United States on March 17, 2014
★★★★★ 5
A Beginners Guide
Format: Kindle
Very powerful and effective means of pre-evangelism. A very concise relevant tool in understanding what is presuppositional apologetics at best.
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Reviewed in the United States on April 28, 2013
★★★★★ 4
A Good Apologetics Primer
Format: Kindle
If you heard the word "apologetics" and are intrigued this is the primer for you to start your knowledge of apologetics.
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Reviewed in the United States on February 27, 2014