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Algebra & Geometry - An Introduction to University Mathematics (Hardcover, 2nd edition)
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Algebra & Geometry - An Introduction to University Mathematics (Hardcover, 2nd edition)
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Algebra & Geometry: An Introduction to University Mathematics,
Second Edition provides a bridge between high school and
undergraduate mathematics courses on algebra and geometry. The
author shows students how mathematics is more than a collection of
methods by presenting important ideas and their historical origins
throughout the text. He incorporates a hands-on approach to proofs
and connects algebra and geometry to various applications. The text
focuses on linear equations, polynomial equations, and quadratic
forms. The first few chapters cover foundational topics, including
the importance of proofs and a discussion of the properties
commonly encountered when studying algebra. The remaining chapters
form the mathematical core of the book. These chapters explain the
solutions of different kinds of algebraic equations, the nature of
the solutions, and the interplay between geometry and algebra. New
to the second edition Several updated chapters, plus an all-new
chapter discussing the construction of the real numbers by means of
approximations by rational numbers Includes fifteen short 'essays'
that are accessible to undergraduate readers, but which direct
interested students to more advanced developments of the material
Expanded references Contains chapter exercises with solutions
provided online at www.routledge.com/9780367563035
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