It takes the average reader 8 hours and 13 minutes to read Thinking Algebraically: An Introduction to Abstract Algebra by Thomas Q. Sibley
Assuming a reading speed of 250 words per minute. Learn more
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 arithmetic and dihedral groups. The second chapter builds on these basic examples and properties, enabling students to learn structural ideas common to rings and groups: isomorphism, homomorphism, and direct product. The third chapter investigates introductory group theory. Later chapters delve more deeply into groups, rings, and fields, including Galois theory, and they also introduce other topics, such as lattices. The exposition is clear and conversational throughout. The book has numerous exercises in each section as well as supplemental exercises and projects for each chapter. Many examples and well over 100 figures provide support for learning. Short biographies introduce the mathematicians who proved many of the results. The book presents a pathway to algebraic thinking in a semester- or year-long algebra course.
Thinking Algebraically: An Introduction to Abstract Algebra by Thomas Q. Sibley is 478 pages long, and a total of 123,324 words.
This makes it 161% the length of the average book. It also has 151% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 11 hours and 13 minutes to read Thinking Algebraically: An Introduction to Abstract Algebra aloud.
Thinking Algebraically: An Introduction to Abstract Algebra is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
When deciding what to show young students always use your best judgement and consult a professional.
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