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010 a| 2013427381;

016 7 a| 0162621862| Uk;

020 a| 9789814412513 (hbk.);

020 a| 9814412511 (hbk.);

020 a| 9789814452762 (pbk.);

020 a| 9814452769 (pbk.);

035 a| (WaSeSS)ssj0000950915;

042 a| lccopycat;

049 a| EREEa| NEHH;

050 00 a| QA331.5b| .L295 2013;

100 1 a| Lauritzen, Niels,d| 1964-=| ^A565045;

245 10 a| Undergraduate convexityh| [electronic resource] :b| from Fourier and Motzkin to Kuhn and Tucker.;

260 a| Singapore ;a| Hackensack, NJ :b| World Scientific,;

300 a| xiv, 283 p. :b| ill. ;c| 23 cm.;

504 a| Includes bibliographical references (p. 273-275) and index.;

505 0 a| 1. Fourier-Motzkin elimination -- 2. Affine subspaces -- 3. Convex subsets -- 4. Polyhedra -- 5. Computations with polyhedra -- 6. Closed convex subsets and separating hyperplanes -- 7. Convex functions -- 8. Differentiable functions of several variables -- 9. Convex functions of several variables -- 10. Convex optimization -- Appendices.;

506 a| Available only to authorized users.;

520 3 a| Based on undergraduate teaching to students in computer science, economics and mathematics at Aarhus University, this is an elementary introduction to convex sets and convex functions with emphasis on concrete computations and examples. Starting from linear inequalities and Fourier-Motzkin elimination, the theory is developed by introducing polyhedra, the double description method and the simplex algorithm, closed convex subsets, convex functions of one and several variables ending with a chapter on convex optimization with the Karush-Kuhn-Tucker conditions, duality and an interior point algorithm -- P. [4] of cover.;

530 a| Also available in electronic format via the World Wide Web.;

538 a| Mode of access: World Wide Web;

650 0 a| Convex functions.=| ^A67567;

650 0 a| Convex domains.=| ^A27787;

655 0 a| Electronic books.=| ^A491897;

856 40 z| Full text available from Ebook Central - Academic Completeu| https://ebookcentral.proquest.com/lib/eastcarolina/detail.action?docID=1193426;

947 a| (OCoLC)ocn798617460;

949 a| CLICK ON WEB ADDRESSw| ASISh| JOYNER188;

949 a| CLICK ON WEB ADDRESSw| ASISh| HSL77;

949 a| CLICK ON WEB ADDRESSw| ASISh| JMUSIC60;

596 a| 1 3 4;

998 a| 4314334;

999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 4314334-1001l| JNETm| JOYNERr| Ys| Yt| JNESSBKu| 1/4/2016x| EBOOKz| JERESOURCE;

999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 4314334-2001l| HSLELECm| HSLr| Ys| Yt| HEBKu| 1/4/2016x| EBOOKz| HERESOURCE;

999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 4314334-3001l| MNETm| JMUSICr| Ys| Yt| MNESSBKu| 1/4/2016x| EBOOKz| JERESOURCE;

Undergraduate convexity from Fourier and Motzkin to Kuhn and Tucker.

Author/creator	Lauritzen, Niels, 1964-
Format	Electronic
Publication Info	Singapore ; Hackensack, NJ : World Scientific,
Description	xiv, 283 p. : ill. ; 23 cm.
Supplemental Content	Full text available from Ebook Central - Academic Complete
Subjects	Convex functions. Convex domains.

Contents	1. Fourier-Motzkin elimination -- 2. Affine subspaces -- 3. Convex subsets -- 4. Polyhedra -- 5. Computations with polyhedra -- 6. Closed convex subsets and separating hyperplanes -- 7. Convex functions -- 8. Differentiable functions of several variables -- 9. Convex functions of several variables -- 10. Convex optimization -- Appendices.
Summary	Based on undergraduate teaching to students in computer science, economics and mathematics at Aarhus University, this is an elementary introduction to convex sets and convex functions with emphasis on concrete computations and examples. Starting from linear inequalities and Fourier-Motzkin elimination, the theory is developed by introducing polyhedra, the double description method and the simplex algorithm, closed convex subsets, convex functions of one and several variables ending with a chapter on convex optimization with the Karush-Kuhn-Tucker conditions, duality and an interior point algorithm -- P. [4] of cover.
Bibliography note	Includes bibliographical references (p. 273-275) and index.
Access restriction	Available only to authorized users.
Other forms	Also available in electronic format via the World Wide Web.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2013427381
ISBN	9789814412513 (hbk.)
ISBN	9814412511 (hbk.)
ISBN	9789814452762 (pbk.)
ISBN	9814452769 (pbk.)

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Undergraduate convexity from Fourier and Motzkin to Kuhn and Tucker.

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