Number Only Divisible By Itself And One
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The Fundamental Theorem of Algebra
Author: Benjamin Fine
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
The fundamental theorem of algebra states that any complex polynomial must have a complex root. This book examines three pairs of proofs of the theorem from three different areas of mathematics: abstract algebra, complex analysis and topology. The first proof in each pair is fairly straightforward and depends only on what could be considered elementary mathematics. However, each of these first proofs leads to more general results from which the fundamental theorem can be deduced as a direct consequence. These general results constitute the second proof in each pair. To arrive at each of the proofs, enough of the general theory of each relevant area is developed to understand the proof. In addition to the proofs and techniques themselves, many applications such as the insolvability of the quintic and the transcendence of e and pi are presented. Finally, a series of appendices give six additional proofs including a version of Gauss'original first proof. The book is intended for junior/senior level undergraduate mathematics students or first year graduate students, and would make an ideal "capstone" course in mathematics.
Leveled Texts for Mathematics: Number and Operations
Author: Lori Barker
language: en
Publisher: Teacher Created Materials
Release Date: 2011-06-01
With a focus on number and operations, a guide to using leveled texts to differentiate instruction in mathematics offers fifteen different topics with high-interest text written at four different reading levels, accompanied by matching visuals and practice problems.
Leveled Texts: Types of Numbers
Author: Lori Barker
language: en
Publisher: Teacher Created Materials
Release Date: 2014-01-01
All students can learn about types of numbers through text written at four different reading levels. Symbols on the pages represent reading-level ranges to help differentiate instruction. Provided comprehension questions complement the text.