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  • Lectures on Convex Sets (2nd Ed) by Soltan Valeriu book cover
  • Lectures on Convex Sets (2nd Ed) by Soltan Valeriu book cover
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Lectures on Convex Sets (2nd Ed)

by Soltan Valeriu

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A systematic study of convex sets

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Paperback New English

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AlbakiReads Editorial

A systematic study of convex sets

Valeriu Soltan develops the algebraic and topological properties of convex sets in n-dimensional Euclidean space, connecting a geometry-centered subject with areas such as optimization and operations research. The second edition substantially revises the earlier text: its chapters have been rewritten, three new chapters added, and the problem collection expanded with 100 additional problems and solutions. This gives the volume a dual role as a structured course text and a substantial reference for further study in convex geometry and convex analysis.

Good fit for readers who enjoy

  • Advanced undergraduate and graduate mathematics students
  • Students of optimization or operations research seeking background in convex sets
  • Researchers using a reference on convex geometry or convex analysis

Themes

Convex geometryAlgebraic and topological propertiesOptimization and operations researchMathematical problem solving

Based on publisher information and book metadata.

Book overview

The book provides a self-contained and systematic treatment of algebraic and topological properties of convex sets in the n-dimensional Euclidean space. It benefits advanced undergraduate and graduate students with various majors in mathematics, optimization, and operations research. It may be adapted as a primary book or an additional text for any course in convex geometry or convex analysis, aimed at non-geometers. It can be a source for independent study and a reference book for researchers in academia.

The second edition essentially extends and revises the original book. Every chapter is rewritten, with many new theorems, examples, problems, and bibliographical references included. It contains three new chapters and 100 additional problems with solutions.

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