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Introduction to Mathematics - Number, Space, and Structure
Loot Price: R2,290
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Introduction to Mathematics - Number, Space, and Structure
Series: Pure and Applied Undergraduate Texts
Expected to ship within 12 - 17 working days
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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. Throughout, the presentation is
enlivened with whimsical illustrations, apt quotations, and
glimpses of mathematical history and culture. Early chapters
integrate an introduction to sets, logic, and beginning proof
techniques with a first exposure to more advanced mathematical
structures. The middle chapters focus on equivalence relations,
functions, and induction. Carefully chosen examples elucidate
familiar topics, such as natural and rational numbers and angle
measurements, as well as new mathematics, such as modular
arithmetic and beginning graph theory. The book concludes with a
thorough exploration of the cardinalities of finite and infinite
sets and, in two optional chapters, brings all the topics together
by constructing the real numbers and other complete metric spaces.
Designed to foster the mental flexibility and rigorous thinking
needed for advanced mathematics, Introduction to Mathematics suits
either a lecture-based or flipped classroom. A year of mathematics,
statistics, or computer science at the university level is assumed,
but the main prerequisite is the willingness to engage in a new
challenge.
General
Imprint: |
American Mathematical Society
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Country of origin: |
United States |
Series: |
Pure and Applied Undergraduate Texts |
Release date: |
September 2023 |
Authors: |
Scott A. Taylor
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Dimensions: |
254 x 178mm (L x W) |
Pages: |
436 |
ISBN-13: |
978-1-4704-7188-0 |
Categories: |
Books
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LSN: |
1-4704-7188-4 |
Barcode: |
9781470471880 |
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