Modern algebra through examples, proofs, and geometry
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Modern algebra through examples, proofs, and geometry
A study of modern algebra that foregrounds the connections between abstract ideas and geometric thinking. The book brings together essential algebraic theories and techniques with basic proof methods and problem-solving practice, while also pointing to applications of the subject. Its example-oriented presentation gives concrete instances a central role in introducing and working through the material. The geometric perspective distinguishes the volume’s approach, placing algebra not only as a formal system but also in dialogue with spatial and structural ideas.
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This book explores the essential theories and techniques of modern algebra, including its problem-solving skills, basic proof techniques, many applications, and the interplay between algebra and geometry. KEY TOPICS: It takes a concrete, example-oriented approach to the subject matter.
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