Abstract
Inequalities are essential tools in many areas of mathematics. Orderings of numbers, which are obtained by way of inequalities, find applications even outside of mathematics in various theoretical and practical fields. Secondary-school curricula have therefore traditionally devoted a certain amount of attention to linear and quadratic inequalities, and to inequalities involving absolute values. Already less emphasis is given to the “calculus” of operations with inequalities and to methods and approaches for deriving estimates for algebraic expressions, and for finding proofs. The present chapter is devoted to exactly these questions.
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© 2000 Springer Science+Business Media New York
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Herman, J., Šimša, J., Kučera, R. (2000). Algebraic Inequalities. In: Equations and Inequalities. CMS Books in Mathematics Ouvrages de mathématiques de la SMC. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1270-6_2
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DOI: https://doi.org/10.1007/978-1-4612-1270-6_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-7071-3
Online ISBN: 978-1-4612-1270-6
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