Introduction to Advanced Mathematics: A Guide to Understanding Proofs

Introduction to Advanced Mathematics: A Guide to Understanding Proofs

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This text offers a crucial primer on proofs and the language of mathematics. Brief and to the point, it lays out the fundamental ideas of abstract mathematics and proof techniques that students will need to master for other math courses. Campbell presents these concepts in plain English, with a focus on basic terminology and a conversational tone that draws natural parallels between the language of mathematics and the language students communicate in every day. The discussion highlights how symbols and expressions are the building blocks of statements and arguments, the meanings they convey, and why they are meaningful to mathematicians. In-class activities provide opportunities to practice mathematical reasoning in a live setting, and an ample number of homework exercises are included for self-study. This text is appropriate for a course in Foundations of Advanced Mathematics taken by students whoa€™ve had a semester of calculus, and is designed to be accessible to students with a wide range of mathematical proficiency. It can also be used as a self-study reference, or as a supplement in other math courses where additional proofs practice is needed. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.Before we work too hard to construct such sets, we introduce the graphical tool. A Venn diagram is a graphical display of a relationship among sets. A Venn diagram can be drawn for any number of sets, but is most commonly helpful when oneanbsp;...

Title:Introduction to Advanced Mathematics: A Guide to Understanding Proofs
Author: Connie Campbell
Publisher:Cengage Learning - 2011-01-01

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