Description

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

Book Details

   Language: English
   Published: 2021
   ISBN: 0367565080
   Format: True PDF