Convexity and Optimization in Rn
Leonard D. Berkovitz
ΠΌΠ°Ρ. 2003β―Π³. Β· John Wiley & Sons
5,0star
1 ΡΠ΅ΡΠ΅Π½Π·ΠΈΡΠ°report
Π-ΠΊΠ½ΠΈΠ³Π°
280
Π‘ΡΡΠ°Π½ΠΈΡΠΈ
reportΠΡΠ΅Π½ΠΈΡΠ΅ ΠΈ ΡΠ΅ΡΠ΅Π½Π·ΠΈΠΈΡΠ΅ Π½Π΅ ΡΠ΅ ΠΏΠΎΡΠ²ΡΠ΄Π΅Π½ΠΈ Β ΠΠΎΠ·Π½Π°ΡΡΠ΅ ΠΏΠΎΠ²Π΅ΡΠ΅
ΠΠ° Π΅-ΠΊΠ½ΠΈΠ³Π°Π²Π°
A comprehensive introduction to convexity and optimization inRn
This book presents the mathematics of finite dimensionalconstrained optimization problems. It provides a basis for thefurther mathematical study of convexity, of more generaloptimization problems, and of numerical algorithms for the solutionof finite dimensional optimization problems. For readers who do nothave the requisite background in real analysis, the author providesa chapter covering this material. The text features abundantexercises and problems designed to lead the reader to a fundamentalunderstanding of the material.
Convexity and Optimization in Rn provides detailed discussionof:
* Requisite topics in real analysis
* Convex sets
* Convex functions
* Optimization problems
* Convex programming and duality
* The simplex method
A detailed bibliography is included for further study and an indexoffers quick reference. Suitable as a text for both graduate andundergraduate students in mathematics and engineering, thisaccessible text is written from extensively class-tested notes.
This book presents the mathematics of finite dimensionalconstrained optimization problems. It provides a basis for thefurther mathematical study of convexity, of more generaloptimization problems, and of numerical algorithms for the solutionof finite dimensional optimization problems. For readers who do nothave the requisite background in real analysis, the author providesa chapter covering this material. The text features abundantexercises and problems designed to lead the reader to a fundamentalunderstanding of the material.
Convexity and Optimization in Rn provides detailed discussionof:
* Requisite topics in real analysis
* Convex sets
* Convex functions
* Optimization problems
* Convex programming and duality
* The simplex method
A detailed bibliography is included for further study and an indexoffers quick reference. Suitable as a text for both graduate andundergraduate students in mathematics and engineering, thisaccessible text is written from extensively class-tested notes.
ΠΡΠ΅Π½ΠΈ ΠΈ ΡΠ΅ΡΠ΅Π½Π·ΠΈΠΈ
5,0
1 ΡΠ΅ΡΠ΅Π½Π·ΠΈΡΠ°
ΠΠ° Π°Π²ΡΠΎΡΠΎΡ
LEONARD D. BERKOVITZ, PhD, is Professor of Mathematics at Purdue University. He previously worked at the RAND Corporation and has served on the editorial boards of several journals, including terms as Managing Editor of the SIAM Journal on Control and as a member of the Editorial Committee of Mathematical Reviews.
ΠΡΠ΅Π½Π΅ΡΠ΅ ΡΠ° Π΅-ΠΊΠ½ΠΈΠ³Π°Π²Π°
ΠΠ°ΠΆΠ΅ΡΠ΅ Π½ΠΈ ΡΡΠΎ ΠΌΠΈΡΠ»ΠΈΡΠ΅.
ΠΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΈ Π·Π° ΡΠΈΡΠ°ΡΠ΅
ΠΠ°ΠΌΠ΅ΡΠ½ΠΈ ΡΠ΅Π»Π΅ΡΠΎΠ½ΠΈ ΠΈ ΡΠ°Π±Π»Π΅ΡΠΈ
ΠΠ½ΡΡΠ°Π»ΠΈΡΠ°ΡΡΠ΅ ΡΠ° Π°ΠΏΠ»ΠΈΠΊΠ°ΡΠΈΡΠ°ΡΠ° Google Play Books Π·Π° Android ΠΈ iPad/iPhone. ΠΠ²ΡΠΎΠΌΠ°ΡΡΠΊΠΈ ΡΠ΅ ΡΠΈΠ½Ρ
ΡΠΎΠ½ΠΈΠ·ΠΈΡΠ° ΡΠΎ ΡΠΌΠ΅ΡΠΊΠ°ΡΠ° ΠΈ Π²ΠΈ ΠΎΠ²ΠΎΠ·ΠΌΠΎΠΆΡΠ²Π° Π΄Π° ΡΠΈΡΠ°ΡΠ΅ ΠΎΠ½Π»Π°ΡΠ½ ΠΈΠ»ΠΈ ΠΎΡΠ»Π°ΡΠ½ ΠΊΠ°Π΄Π΅ ΠΈ Π΄Π° ΡΡΠ΅.
ΠΠ°ΠΏΡΠΎΠΏΠΈ ΠΈ ΠΊΠΎΠΌΠΏΡΡΡΠ΅ΡΠΈ
ΠΠΎΠΆΠ΅ Π΄Π° ΡΠ»ΡΡΠ°ΡΠ΅ Π°ΡΠ΄ΠΈΠΎΠΊΠ½ΠΈΠ³ΠΈ ΠΊΡΠΏΠ΅Π½ΠΈ ΠΎΠ΄ Google Play ΡΠΎ ΠΊΠΎΡΠΈΡΡΠ΅ΡΠ΅ Π½Π° Π²Π΅Π±-ΠΏΡΠ΅Π»ΠΈΡΡΡΠ²Π°ΡΠΎΡ Π½Π° ΠΊΠΎΠΌΠΏΡΡΡΠ΅ΡΠΎΡ.
Π-ΡΠΈΡΠ°ΡΠΈ ΠΈ Π΄ΡΡΠ³ΠΈ ΡΡΠ΅Π΄ΠΈ
ΠΠ° Π΄Π° ΡΠΈΡΠ°ΡΠ΅ Π½Π° ΡΡΠ΅Π΄ΠΈ ΡΠΎ Π΅-ΠΌΠ°ΡΡΠΈΠ»ΠΎ, ΠΊΠ°ΠΊΠΎ ΡΡΠΎ ΡΠ΅ Π΅-ΡΠΈΡΠ°ΡΠΈΡΠ΅ Kobo, ΡΠ΅ ΡΡΠ΅Π±Π° Π΄Π° ΠΏΡΠ΅Π·Π΅ΠΌΠ΅ΡΠ΅ Π΄Π°ΡΠΎΡΠ΅ΠΊΠ° ΠΈ Π΄Π° ΡΠ° ΠΏΡΠ΅ΡΡΠ»ΠΈΡΠ΅ Π½Π° ΡΡΠ΅Π΄ΠΎΡ. Π‘Π»Π΅Π΄Π΅ΡΠ΅ Π³ΠΈ Π΄Π΅ΡΠ°Π»Π½ΠΈΡΠ΅ ΡΠΏΠ°ΡΡΡΠ²Π° Π²ΠΎ Π¦Π΅Π½ΡΠ°ΡΠΎΡ Π·Π° ΠΏΠΎΠΌΠΎΡ Π·Π° ΠΏΡΠ΅ΡΡΠ»Π°ΡΠ΅ Π½Π° Π΄Π°ΡΠΎΡΠ΅ΠΊΠΈΡΠ΅ Π½Π° ΠΏΠΎΠ΄Π΄ΡΠΆΠ°Π½ΠΈ Π΅-ΡΠΈΡΠ°ΡΠΈ.
