Thinking algebraically: an introduction to abstract algebra

By:

Sibley, Thomas Q

Publication details: American Mathematical Society, 2021 Providence:Description: xiii, 478p. ; pb, 25cmISBN:

9781470460303

Subject(s):

DDC classification:

512.02 SIB

Summary: Thinking Algebraically presents the insights of abstract algebra in a welcoming and accessible way. It succeeds in combining the advantages of rings-first and groups-first approaches while avoiding the disadvantages. After an historical overview, the first chapter studies familiar examples and elementary properties of groups and rings simultaneously to motivate the modern understanding of algebra. The text builds intuition for abstract algebra starting from high school algebra. In addition to the standard number systems, polynomials, vectors, and matrices, the first chapter introduces modular.

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Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar General Stacks	General	512.02 SIB (Browse shelf(Opens below))	1	Available		030930

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Previous	512.009 VAR Algebra in ancient and modern times	512.02 ASH Basic abstract algebra: for graduate students and advanced undergraduates	512.02 EHR Fundamental concepts of abstract algebra	512.02 SIB Thinking algebraically: an introduction to abstract algebra	512.14 ARY Analytic and algebraic geometry	512.2 ALP Local representation theory: modular representations as an introduction to the local representation theory of finite groups	512.2 ASC Finite group theory	Next

Includes bibliography and index

Thinking Algebraically presents the insights of abstract algebra in a welcoming and accessible way. It succeeds in combining the advantages of rings-first and groups-first approaches while avoiding the disadvantages. After an historical overview, the first chapter studies familiar examples and elementary properties of groups and rings simultaneously to motivate the modern understanding of algebra. The text builds intuition for abstract algebra starting from high school algebra. In addition to the standard number systems, polynomials, vectors, and matrices, the first chapter introduces modular.

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