Coverart for item
The Resource Geometric problems on maxima and minima, Titu Andreescu, Oleg Mushkarov, Luchezar Stoyanov

Geometric problems on maxima and minima, Titu Andreescu, Oleg Mushkarov, Luchezar Stoyanov

Label
Geometric problems on maxima and minima
Title
Geometric problems on maxima and minima
Statement of responsibility
Titu Andreescu, Oleg Mushkarov, Luchezar Stoyanov
Creator
Contributor
Subject
Genre
Language
eng
Summary
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. Key features and topics: * Comprehensive selection of problems, including Greek geometry and optics, Newtonian mechanics, isoperimetric problems, and recently solved problems such as Malfatti's problem * Unified approach to the subject, with emphasis on geometric, algebraic, analytic, and combinatorial reasoning * Presentation and application of classical inequalities, including Cauchy--Schwarz and Minkowski's Inequality; basic results in calculus, such as the Intermediate Value Theorem; and emphasis on simple but useful geometric concepts, including transformations, convexity, and symmetry * Clear solutions to the problems, often accompanied by figures * Hundreds of exercises of varying difficulty, from straightforward to Olympiad-caliber 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
Is part of
Cataloging source
GW5XE
http://library.link/vocab/creatorDate
1956-
http://library.link/vocab/creatorName
Andreescu, Titu
Dewey number
511.66
Illustrations
illustrations
Index
no index present
Language note
English
LC call number
QA563
LC item number
.A53 2006eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1954-
http://library.link/vocab/relatedWorkOrContributorName
  • Mushkarov, Oleg
  • Stoyanov, Luchezar N.
http://library.link/vocab/subjectName
  • Maxima and minima
  • Geometry
  • Geometry
  • Maxima and minima
Label
Geometric problems on maxima and minima, Titu Andreescu, Oleg Mushkarov, Luchezar Stoyanov
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 263-264)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Methods for Finding Geometric Extrema -- Selected Types of Geometric Extremum Problems -- Miscellaneous -- Hints and Solutions to the Exercises
Control code
262687325
Dimensions
unknown
Extent
1 online resource (ix, 264 pages)
Form of item
online
Isbn
9780817644734
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/0-8176-4473-3
Other physical details
illustrations
http://library.link/vocab/ext/overdrive/overdriveId
978-0-8176-3517-6
Specific material designation
remote
System control number
(OCoLC)262687325
Label
Geometric problems on maxima and minima, Titu Andreescu, Oleg Mushkarov, Luchezar Stoyanov
Publication
Bibliography note
Includes bibliographical references (pages 263-264)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Methods for Finding Geometric Extrema -- Selected Types of Geometric Extremum Problems -- Miscellaneous -- Hints and Solutions to the Exercises
Control code
262687325
Dimensions
unknown
Extent
1 online resource (ix, 264 pages)
Form of item
online
Isbn
9780817644734
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/0-8176-4473-3
Other physical details
illustrations
http://library.link/vocab/ext/overdrive/overdriveId
978-0-8176-3517-6
Specific material designation
remote
System control number
(OCoLC)262687325

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      38.944491 -92.326012
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