In the second printing of these two volumes 305 and 306 the authors have made various local improvements and corrections, and updated the bibliography. The index has been considerably augmented and refined.

Autorentext

Jean-Baptiste Hiriart-Urruty has substantial experience in teaching mathematics at various levels of higher education. He has written several textbooks and exercise books in English and French, including the first volume of Mathematical Tapas (Springer, 2016). The present volume is the fourth published by Springer.

Inhalt
Table of Contents Part I.- I. Convex Functions of One Real Variable.- II. Introduction to Optimization Algorithms.- III. Convex Sets.- IV. Convex Functions of Several Variables.- V. Sublinearity and Support Functions.- VI. Subdifferentials of Finite Convex Functions.- VII. Constrained Convex Minimization Problems: Minimality Conditions, Elements of Duality Theory.- VIII. Descent Theory for Convex Minimization: The Case of Complete Information.- Appendix: Notations.- 1 Some Facts About Optimization.- 2 The Set of Extended Real Numbers.- 3 Linear and Bilinear Algebra.- 4 Differentiation in a Euclidean Space.- 5 Set-Valued Analysis.- 6 A Bird's Eye View of Measure Theory and Integration.- Bibliographical Comments.- References.