Essays in Mathematics and its Applications, Panos M. Pardalos; Themistocles M. Rassias
Àâòîð: Pardalos Íàçâàíèå: Essays in Mathematics and its Applications ISBN: 3642288200 ISBN-13(EAN): 9783642288203 Èçäàòåëüñòâî: Springer Ðåéòèíã: Öåíà: 15372.00 ð. Íàëè÷èå íà ñêëàäå: Åñòü ó ïîñòàâùèêà Ïîñòàâêà ïîä çàêàç.
Îïèñàíèå: ?The volume is dedicated to Stephen Smale on the occasion of his 80th birthday.Besides his startling 1960 result of the proof of the Poincar?e conjecture for all dimensionsgreater than or equal to five, Smale’s ground breaking contributions invarious fields in Mathematics have marked the second part of the 20th century andbeyond. Stephen Smale has done pioneering work in differential topology, globalanalysis, dynamical systems, nonlinear functional analysis, numerical analysis, theoryof computation and machine learning as well as applications in the physical andbiological sciences and economics. In sum, Stephen Smale has manifestly brokenthe barriers among the different fields of mathematics and dispelled some remainingprejudices. He is indeed a universal mathematician. Smale has been honoredwith several prizes and honorary degrees including, among others, the Fields Medal(1966), The Veblen Prize (1966), the National Medal of Science (1996) and theWolfPrize (2006/2007).
Àâòîð: Shoumei Li; Xia Wang; Yoshiaki Okazaki; Jun Kawabe Íàçâàíèå: Nonlinear Mathematics for Uncertainty and its Applications ISBN: 3662520389 ISBN-13(EAN): 9783662520383 Èçäàòåëüñòâî: Springer Ðåéòèíã: Öåíà: 45712.00 ð. Íàëè÷èå íà ñêëàäå: Åñòü ó ïîñòàâùèêà Ïîñòàâêà ïîä çàêàç.
Îïèñàíèå: From the content: Ordinal Preference Models Based on S-Integrals and Their Verification.- Strong Laws of Large Numbers for Bernoulli Experiments under Ambiguity.- Comparative Risk Aversion for g-Expected Utility Maximizers.- Riesz Type Integral Representations for Comonotonically Additive Functionals.- Pseudo-Concave Integrals.- On Spaces of Bochner and Pettis Integrable Functions and Their Set-Valued Counterparts.- Upper Derivatives of Set Functions Represented as the Choquet Indefinite Integral.- On Regularity for Non-Additive Measure.
Àâòîð: Rassias Íàçâàíèå: Essays in Mathematics and its Applications ISBN: 3319313363 ISBN-13(EAN): 9783319313368 Èçäàòåëüñòâî: Springer Ðåéòèíã: Öåíà: 18167.00 ð. Íàëè÷èå íà ñêëàäå: Åñòü ó ïîñòàâùèêà Ïîñòàâêà ïîä çàêàç.
Îïèñàíèå: This volume, dedicated to the eminent mathematician Vladimir Arnold, presents a collection of research and survey papers written on a large spectrum of theories and problems that have been studied or introduced by Arnold himself. Emphasis is given to topics relating to dynamical systems, stability of integrable systems, algebraic and differential topology, global analysis, singularity theory and classical mechanics. A number of applications of Arnold’s groundbreaking work are presented. This publication will assist graduate students and research mathematicians in acquiring an in-depth understanding and insight into a wide domain of research of an interdisciplinary nature.
Îïèñàíèå: Collected here are lectures on nonlinear applied mathematics given by a team of internationally distinguished scientists. The courses, all edited to form a coherent whole, deal mainly with nonlinear dynamics applied to fluid mechanics, boundary layer transition, driven oscillators and waves, nonlinear elasticity and mathematical biology.