Calculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. … Mehr…
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 problems. Whereas most books on this subject focus on a particular theory, this text takes a general approach including all main theories. In order to be self-contained, the book includes three chapters of preliminary material, each of which can be used as an independent course if needed. The first chapter deals with metric properties, variational principles, decrease principles, methods of error bounds, calmness and metric regularity. The second one presents the classical tools of differential calculus and includes a section about the calculus of variations. The third contains a clear exposition of convex analysis. eBooks > Fremdsprachige eBooks > Englische eBooks > Sach- & Fachthemen > Mathematik; eBooks > Fachbücher > Mathematik , Springer, Jean-Paul Penot, Springer, aul<
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Calculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. … Mehr…
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 problems. Whereas most books on this subject focus on a particular theory, this text takes a general approach including all main theories. In order to be self-contained, the book includes three chapters of preliminary material, each of which can be used as an independent course if needed. The first chapter deals with metric properties, variational principles, decrease principles, methods of error bounds, calmness and metric regularity. The second one presents the classical tools of differential calculus and includes a section about the calculus of variations. The third contains a clear exposition of convex analysis. Digital Content>E-books>Science>Mathematics>Mathematics, Springer New York Digital >16<
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Calculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. … Mehr…
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 problems. Whereas most books on this subject focus on a particular theory, this text takes a general approach including all main theories. In order to be self-contained, the book includes three chapters of preliminary material, each of which can be used as an independent course if needed. The first chapter deals with metric properties, variational principles, decrease principles, methods of error bounds, calmness and metric regularity. The second one presents the classical tools of differential calculus and includes a section about the calculus of variations. The third contains a clear exposition of convex analysis.; PDF; Reference > Research & information: general > Information theory > Cybernetics & systems theory, Springer US<
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Calculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. … Mehr…
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 problems. Whereas most books on this subject focus on a particular theory, this text takes a general approach including all main theories. In order to be self-contained, the book includes three chapters of preliminary material, each of which can be used as an independent course if needed. The first chapter deals with metric properties, variational principles, decrease principles, methods of error bounds, calmness and metric regularity. The second one presents the classical tools of differential calculus and includes a section about the calculus of variations. The third contains a clear exposition of convex analysis. eBooks > Fremdsprachige eBooks > Englische eBooks > Sach- & Fachthemen > Mathematik; eBooks > Fachbücher > Mathematik , Springer, Jean-Paul Penot, Springer, aul<
Nr. A1031715149. Versandkosten:Lieferzeiten außerhalb der Schweiz 3 bis 21 Werktage, , Sofort per Download lieferbar, zzgl. Versandkosten. (EUR 17.34)
Calculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. … Mehr…
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 problems. Whereas most books on this subject focus on a particular theory, this text takes a general approach including all main theories. In order to be self-contained, the book includes three chapters of preliminary material, each of which can be used as an independent course if needed. The first chapter deals with metric properties, variational principles, decrease principles, methods of error bounds, calmness and metric regularity. The second one presents the classical tools of differential calculus and includes a section about the calculus of variations. The third contains a clear exposition of convex analysis. Digital Content>E-books>Science>Mathematics>Mathematics, Springer New York Digital >16<
Calculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. … Mehr…
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 problems. Whereas most books on this subject focus on a particular theory, this text takes a general approach including all main theories. In order to be self-contained, the book includes three chapters of preliminary material, each of which can be used as an independent course if needed. The first chapter deals with metric properties, variational principles, decrease principles, methods of error bounds, calmness and metric regularity. The second one presents the classical tools of differential calculus and includes a section about the calculus of variations. The third contains a clear exposition of convex analysis.; PDF; Reference > Research & information: general > Information theory > Cybernetics & systems theory, Springer US<
No. 9781461445388. Versandkosten:Instock, Despatched same working day before 3pm, zzgl. Versandkosten.
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Detailangaben zum Buch - Calculus Without Derivatives Jean-Paul Penot Author
EAN (ISBN-13): 9781461445388 ISBN (ISBN-10): 1461445388 Erscheinungsjahr: 2012 Herausgeber: Springer New York Digital >16 524 Seiten Sprache: eng/Englisch
Buch in der Datenbank seit 2012-03-03T08:35:59+01:00 (Zurich) Detailseite zuletzt geändert am 2024-03-07T20:07:06+01:00 (Zurich) ISBN/EAN: 1461445388
ISBN - alternative Schreibweisen: 1-4614-4538-8, 978-1-4614-4538-8 Alternative Schreibweisen und verwandte Suchbegriffe: Autor des Buches: jean paul, differential variations Titel des Buches: cal, calculus, jean paul
Daten vom Verlag:
Autor/in: Jean-Paul Penot Titel: Graduate Texts in Mathematics; Calculus Without Derivatives Verlag: Springer; Springer US 524 Seiten Erscheinungsjahr: 2012-11-09 New York; NY; US Sprache: Englisch 69,54 € (DE) 71,50 € (AT) 77,00 CHF (CH) Available XX, 524 p.
EA; E107; eBook; Nonbooks, PBS / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; Clarke subdifferential; Newton Method; approximation; calculus of variations; coderivative; convex analysis; differential calculus; duality; elementary subdifferentials; error bounds; fuzzy calculus; limiting subdifferential; mathematical programming; nonsmooth analysis; normal cone; optimization; stability theory; tangent cone; B; Analysis; Real Functions; Optimization; Systems Theory, Control; Functional Analysis; Applications of Mathematics; Mathematics and Statistics; Reelle Analysis, Real-Variablen; Optimierung; Kybernetik und Systemtheorie; Funktionalanalysis und Abwandlungen; Angewandte Mathematik; BC
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. Includes all necessary preliminary material Introduces fundamental aspects of nonsmooth analysis that impact many applications Presents a balanced picture of the most elementary attempts to replace a derivative with a one-sided generalized derivative called a subdifferential Includes references, notes, exercises and supplements that will give the reader a thorough insight into the subject Includes supplementary material: sn.pub/extras
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