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Introduction to mathematics : number, space, and structure

By: Taylor, Scott A.
Series: Pure and applied undergraduate texts.Publisher: Providence : American Mathematical Society, 2023Description: xxvi,415 p.; ill., 25 cm.ISBN: 9781470471880.Subject(s): Symbolic and mathematical | Set theory | Basic Proof Techniques | Building Sets | Set Theory Axiomatics | Cauchy sequences | Equivalence relation | Hilbert curve | Metric space | Peano axioms | Russell's paradox | Well-ordering principleDDC classification: 511.3 Summary: This textbook is designed for an Introduction to Proofs course organized around the themes of number and space. Concepts are illustrated using both geometric and number examples, while frequent analogies and applications help build intuition and context in the humanities, arts, and sciences. Sophisticated mathematical ideas are introduced early and then revisited several times in a spiral structure, allowing students to progressively develop rigorous thinking
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Includes bibliographical references and index.

This textbook is designed for an Introduction to Proofs course organized around the themes of number and space. Concepts are illustrated using both geometric and number examples, while frequent analogies and applications help build intuition and context in the humanities, arts, and sciences. Sophisticated mathematical ideas are introduced early and then revisited several times in a spiral structure, allowing students to progressively develop rigorous thinking

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