Buch, Englisch, 264 Seiten, Format (B × H): 154 mm x 238 mm, Gewicht: 457 g
ISBN: 978-0-8176-3517-6
Verlag: Birkhauser Boston
Questions of maxima and minima have great practical significance, with applications to physics, engineering, and economics; they have also given rise to theoretical advances, notably in calculus and optimization. Indeed, while most texts view the study of extrema within the context of calculus, this carefully constructed problem book takes a uniquely intuitive approach to the subject: it presents hundreds of extreme value problems, examples, and solutions primarily through Euclidean geometry.
Written by a team of established mathematicians and professors, this work draws on the authors’ experience in the classroom and as Olympiad coaches. By exposing readers to a wealth of creative problem-solving approaches, the text communicates not only geometry but also algebra, calculus, and topology. Ideal for use at the junior and senior undergraduate level, as well as in enrichment programs and Olympiad training for advanced high school students, this book’s breadth and depth will appeal to a wide audience, from secondary school teachers and pupils to graduate students, professional mathematicians, and puzzle enthusiasts.
Zielgruppe
Lower undergraduate
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Geometrie Elementare Geometrie: Allgemeines
- Mathematik | Informatik Mathematik Topologie Mengentheoretische Topologie
- Mathematik | Informatik Mathematik Mathematische Analysis Elementare Analysis und Allgemeine Begriffe
- Mathematik | Informatik Mathematik Operations Research Graphentheorie
- Mathematik | Informatik Mathematik Operations Research Spieltheorie
- Mathematik | Informatik Mathematik Algebra Elementare Algebra
- Mathematik | Informatik Mathematik Geometrie Euklidische Geometrie
Weitere Infos & Material
Methods for Finding Geometric Extrema.- Selected Types of Geometric Extremum Problems.- Miscellaneous.- Hints and Solutions to the Exercises.