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Convexity from the geometric point of view = exercises and solutions /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Convexity from the geometric point of view/ by Vitor Balestro, Horst Martini, Ralph Teixeira.
Reminder of title:	exercises and solutions /
Author:	Balestro, Vitor.
other author:	Martini, Horst.
Published:	Cham :Springer Nature Switzerland : : 2025.,
Description:	xii, 363 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	Exercises & Solutions Convex functions -- Exercises & Solutions Convex sets -- Exercises & Solutions A first look into polytopes -- Exercises & Solutions Volume and area -- Exercises & Solutions Classical inequalities -- Exercises & Solutions Mixed volumes -- Exercises & Solutions Mixed surface area measures -- Exercises & Solutions The Alexandrov-Fenchel inequality -- Exercises & Solutions Affine convex geometry I -- Exercises & Solutions Affine convex geometry II -- Exercises & Solutions Further selected topics -- Exercises & Solutions Historical steps of development of convexity as a field.
Contained By:	Springer Nature eBook
Subject:	Convex geometry. -
Online resource:	https://doi.org/10.1007/978-3-031-83937-5
ISBN:	9783031839375

Convexity from the geometric point of view = exercises and solutions /
Balestro, Vitor.

Convexity from the geometric point of viewexercises and solutions /[electronic resource] :by Vitor Balestro, Horst Martini, Ralph Teixeira. - Cham :Springer Nature Switzerland :2025. - xii, 363 p. :ill. (some col.), digital ;24 cm. - Cornerstones,2197-1838. - Cornerstones..

Exercises & Solutions Convex functions -- Exercises & Solutions Convex sets -- Exercises & Solutions A first look into polytopes -- Exercises & Solutions Volume and area -- Exercises & Solutions Classical inequalities -- Exercises & Solutions Mixed volumes -- Exercises & Solutions Mixed surface area measures -- Exercises & Solutions The Alexandrov-Fenchel inequality -- Exercises & Solutions Affine convex geometry I -- Exercises & Solutions Affine convex geometry II -- Exercises & Solutions Further selected topics -- Exercises & Solutions Historical steps of development of convexity as a field.

This book provides the solutions to all 347 exercises contained in the text Convexity from the Geometric Point of View, published in the same Cornerstones series. All these exercises are restated and numbered analogously to those in the original text. The corresponding solutions follow each exercise. Besides the discussion of all solutions, some additional facts about the main text are sprinkled throughout. Sections of further reading are posted to the ends of each chapter supplying the reader with background literature to selected notions and tools that play a role in the exercises and/or solutions to the chapter. The original text gives a comprehensive introduction to the "common core" of convex geometry and is suitable as a primary text for courses in convex geometry and in discrete geometry (including polytopes). Additionally, it can be used as a single reference for a complete introduction to convex geometry. The content coverage is sufficiently broad that the reader may gain a glimpse of the entire breadth of the field, various subfields, and interesting connections to neighboring disciplines. Mainly directed to graduate and advanced undergraduates, the original text is self-contained in such a way that it can be read by anyone who has standard undergraduate knowledge of analysis and of linear algebra. The same is true for this book of solutions.

ISBN: 9783031839375

Standard No.: 10.1007/978-3-031-83937-5doiSubjects--Topical Terms:

567300
Convex geometry.

LC Class. No.: QA639.5

Dewey Class. No.: 516.08

Convexity from the geometric point of view = exercises and solutions /
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245 1 0 $a Convexity from the geometric point of view $h [electronic resource] : $b exercises and solutions / $c by Vitor Balestro, Horst Martini, Ralph Teixeira.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Birkhäuser, $c 2025.
300 $a xii, 363 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Cornerstones, $x 2197-1838
505 0 $a Exercises & Solutions Convex functions -- Exercises & Solutions Convex sets -- Exercises & Solutions A first look into polytopes -- Exercises & Solutions Volume and area -- Exercises & Solutions Classical inequalities -- Exercises & Solutions Mixed volumes -- Exercises & Solutions Mixed surface area measures -- Exercises & Solutions The Alexandrov-Fenchel inequality -- Exercises & Solutions Affine convex geometry I -- Exercises & Solutions Affine convex geometry II -- Exercises & Solutions Further selected topics -- Exercises & Solutions Historical steps of development of convexity as a field.
520 $a This book provides the solutions to all 347 exercises contained in the text Convexity from the Geometric Point of View, published in the same Cornerstones series. All these exercises are restated and numbered analogously to those in the original text. The corresponding solutions follow each exercise. Besides the discussion of all solutions, some additional facts about the main text are sprinkled throughout. Sections of further reading are posted to the ends of each chapter supplying the reader with background literature to selected notions and tools that play a role in the exercises and/or solutions to the chapter. The original text gives a comprehensive introduction to the "common core" of convex geometry and is suitable as a primary text for courses in convex geometry and in discrete geometry (including polytopes). Additionally, it can be used as a single reference for a complete introduction to convex geometry. The content coverage is sufficiently broad that the reader may gain a glimpse of the entire breadth of the field, various subfields, and interesting connections to neighboring disciplines. Mainly directed to graduate and advanced undergraduates, the original text is self-contained in such a way that it can be read by anyone who has standard undergraduate knowledge of analysis and of linear algebra. The same is true for this book of solutions.
650 0 $a Convex geometry. $3 567300
650 1 4 $a Convex and Discrete Geometry. $3 893686
700 1 $a Martini, Horst. $3 3386935
700 1 $a Teixeira, Ralph Costa. $3 3723283
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950 $a Mathematics and Statistics (SpringerNature-11649)