Maxima And Minima: How Extremes Can Explain Mathematics Concepts And Facilitate Problem Solving

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Hans Humenberger (University Of Vienna, Austria) Alfred S Posamentier (The City University Of New York, Usa)

Maxima And Minima

Name: Maxima And Minima
Price: 213.86 AUD
Availability: PreOrder
ISBN: 9789819824342

How Extremes Can Explain Mathematics Concepts And Facilitate Problem Solving

Hans Humenberger (University Of Vienna, Austria), Alfred S Posamentier (The City University Of New York, Usa)

$266.95 $213.86

Hardback

Forthcoming
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English

World Scientific Publishing Co Pte Ltd
17 May 2026

Geometry; Applied mathematics

Series: Problem Solving in Mathematics and Beyond

Summary
Details

This book explores the versatile concept of maxima and minima — extremes and optimal values — across a broad spectrum of mathematics. Far from being limited to calculus, the concept of extremes is applicable to nearly every field of mathematics, including geometry, arithmetic, algebra, and stochastics, offering powerful tools for problem solving.

The first part of the book introduces a wide range of applications of the method of extremes, showing how it can be used to tackle problems both in everyday life and in mathematical contexts. The second, larger part focuses on solving extreme value problems without relying on derivatives, instead building reasoning and proof from first principles. Here, special emphasis is placed on geometry, where questions of optimality often reveal surprising insights about shapes and figures. By approaching mathematics through the lens of extremes, readers will gain a deeper understanding of core concepts and discover fresh ways to enrich both learning and teaching.

By: Hans Humenberger (University Of Vienna Austria), Alfred S Posamentier (The City University Of New York, Usa)
Imprint: World Scientific Publishing Co Pte Ltd
Country of Publication: Singapore
Volume: 41
ISBN: 9789819824342
ISBN 10: 9819824346
Series: Problem Solving in Mathematics and Beyond
Pages: 350
Publication Date: 17 May 2026
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Hardback
Publisher's Status: Forthcoming