Lauritzen, Niels
Undergraduate Convexity
- ISBN 13:
- 9789814452762
- author:
- Lauritzen, Niels
- format:
- Paperback
- publisher:
- World Scientific Publishing Company
- language:
- English
- Publication Year:
- 2013
- Pages:
- 300
- Dimensions:
- 22.6 x 15 x 1.8 centimetres (0.4
- Genre:
- Science, Mathematics, Applied,
- Condition:
- New
- Availability:
- Item usually sent within 20 working days
Description
Undergraduate Convexity From Fourier and Motzkin to Kuhn and Tucker by Niels Lauritzen This textbook provides an elementary introduction to convex sets and convex functions, focusing on practical computations and examples. It begins with linear inequalities and the Fourier-Motzkin elimination method before developing the theory through polyhedra, the double description method, and the simplex algorithm. The book covers a range of topics, including closed convex subsets, convex functions of one and several variables, and convex optimization using the Karush-Kuhn-Tucker conditions and duality. A study guide is included to support further learning. Suitable for students in computer science, economics, and mathematics, this textbook offers a concrete and accessible approach to understanding convexity and its applications.