Algebra Notes from the Underground
- Textbook
Description
From rings to modules to groups to fields, this undergraduate introduction to abstract algebra follows an unconventional path. The text emphasizes a modern perspective on the subject, with gentle mentions of the unifying categorical principles underlying the various constructions and the role of universal properties. A key feature is the treatment of modules, including a proof of the classification theorem for finitely generated modules over Euclidean domains. Noetherian modules and some of the language of exact complexes are introduced. In…
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Key features
- Treats all standard topics for a first course in detail, moving from rings to modules to groups to fields, which allows for a more gradual entry into the subject
- Emphasizes a modern perspective, with hints toward category theory, exposing students to advanced topics and preparing them for graduate courses and applications of algebra in other subjects
- Includes 400+ exercises, with 150 worked-out problems from the main text, and plenty of examples to help students better understand the material
- Uses a conversational style and strong narrative flow that makes the material easier for students to follow and appreciate as a whole
About the book
- DOI https://doi.org/10.1017/9781108955911
- Series Cambridge Mathematical Textbooks
- Subjects Algebra,Mathematics,Mathematics (general)
- Format: Paperback
- Publication date: 29 July 2021
- ISBN: 9781108958233
- Dimensions (mm): 244 x 170 mm
- Weight: 0.84kg
- Page extent: 488 pages
- Availability: Available
- Format: Digital
- Publication date: 19 July 2021
- ISBN: 9781108955911
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