Calculus Without Derivatives

• Κύριος συγγραφέας: Penot, Jean-Paul (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2013.
• Σειρά: Graduate Texts in Mathematics, 266
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Functional analysis.; Functions of real variables.; Applied mathematics.; Engineering mathematics.; System theory.; Mathematical optimization.; Analysis.; Real Functions.; Optimization.; Systems Theory, Control.; Functional Analysis.; Applications of Mathematics.

Calculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. This textbook also provides significant tools and methods towards applications, in particular optimization proble...

Πίνακας περιεχομένων:

• Preface
• 1 Metric and Topological Tools
• 2 Elements of Differential Calculus
• 3 Elements of Convex Analysis
• 4 Elementary and Viscosity Subdifferentials
• 5 Circa-Subdifferentials, Clarke Subdifferentials
• 6 Limiting Subdifferentials
• 7 Graded Subdifferentials, Ioffe Subdifferentials
• References
• Index .