Filippo Santambrogio's Books

A Course in the Calculus of Variations

Optimization, Regularity, and Modeling

By: Filippo Santambrogio

Write a review Read reviews Take a Quiz Solve Book Puzzle

A Course in the Calculus of Variations

Optimization, Regularity, and Modeling

By: Filippo Santambrogio

This book provides an introduction to the broad topic of the calculus of variations. It addresses the most natural questions on variational problems and the mathematical complexities they present. Beginning with the scientific modeling that motivates the subject, the book then tackles mathematical questions such as the existence and uniqueness of solutions, their characterization in terms of partial differential equations, and their regularity. It includes both classical and recent results on one-dimensional variational problems, as well as the adaptation to the multi-dimensional case. Here, convexity plays an important role in establishing semi-continuity results and connections with techniques from optimization, and convex duality is even used to produce regularity results. This is then followed by the more classical Hölder regularity theory for elliptic PDEs and some geometric variational problems on sets, including the isoperimetric inequality and the Steiner tree problem. The book concludes with a chapter on the limits of sequences of variational problems, expressed in terms of Γ-convergence. While primarily designed for master's-level and advanced courses, this textbook, based on its author's instructional experience, also offers original insights that may be of interest to PhD students and researchers. A foundational understanding of measure theory and functional analysis is required, but all the essential concepts are reiterated throughout the book using special memo-boxes.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

354

Publisher

Springer Nature

Published Date

ISBN 10

3031450361

ISBN 13

9783031450365

Mean Field Games

Cetraro, Italy 2019

By: Yves Achdou,Pierre Cardaliaguet,François Delarue,Alessio Porretta,Filippo Santambrogio

Write a review Read reviews Take a Quiz Solve Book Puzzle

Mean Field Games

Cetraro, Italy 2019

By: Yves Achdou,Pierre Cardaliaguet,François Delarue,Alessio Porretta,Filippo Santambrogio

This volume provides an introduction to the theory of Mean Field Games, suggested by J.-M. Lasry and P.-L. Lions in 2006 as a mean-field model for Nash equilibria in the strategic interaction of a large number of agents. Besides giving an accessible presentation of the main features of mean-field game theory, the volume offers an overview of recent developments which explore several important directions: from partial differential equations to stochastic analysis, from the calculus of variations to modeling and aspects related to numerical methods. Arising from the CIME Summer School "Mean Field Games" held in Cetraro in 2019, this book collects together lecture notes prepared by Y. Achdou (with M. Laurière), P. Cardaliaguet, F. Delarue, A. Porretta and F. Santambrogio. These notes will be valuable for researchers and advanced graduate students who wish to approach this theory and explore its connections with several different fields in mathematics.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

316

Publisher

Springer Nature

Published Date

ISBN 10

3030598373

ISBN 13

9783030598372

Optimal Transport for Applied Mathematicians

Calculus of Variations, PDEs, and Modeling

By: Filippo Santambrogio

Write a review Read reviews Take a Quiz Solve Book Puzzle

Optimal Transport for Applied Mathematicians

Calculus of Variations, PDEs, and Modeling

By: Filippo Santambrogio

This monograph presents a rigorous mathematical introduction to optimal transport as a variational problem, its use in modeling various phenomena, and its connections with partial differential equations. Its main goal is to provide the reader with the techniques necessary to understand the current research in optimal transport and the tools which are most useful for its applications. Full proofs are used to illustrate mathematical concepts and each chapter includes a section that discusses applications of optimal transport to various areas, such as economics, finance, potential games, image processing and fluid dynamics. Several topics are covered that have never been previously in books on this subject, such as the Knothe transport, the properties of functionals on measures, the Dacorogna-Moser flow, the formulation through minimal flows with prescribed divergence formulation, the case of the supremal cost, and the most classical numerical methods. Graduate students and researchers in both pure and applied mathematics interested in the problems and applications of optimal transport will find this to be an invaluable resource.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

376

Publisher

Birkhäuser

Published Date

ISBN 10

3319208284

ISBN 13

9783319208282

Food Festivals and Local Development in Italy

A Viewpoint from Economic Anthropology

By: Michele Filippo Fontefrancesco

Write a review Read reviews Take a Quiz Solve Book Puzzle

Food Festivals and Local Development in Italy

A Viewpoint from Economic Anthropology

By: Michele Filippo Fontefrancesco

What does the proliferation of food festival tell us about rural areas? How can these celebrations pave the way to a better future for the local communities? This book is addressing these questions contributing to the ongoing debate about the future of rural peripheries in Europe. The volume is based on the ethnographic research conducted in Italy, a country internationally known for its food tradition and one of the European countries where the gap between rural and urban space is most pronounced. It offers an anthropological analysis of food festivals, exploring the transformational role they have to change and develop rural communities. Although the festivals aim mostly at tourism, they contribute in a wider way to the life of the rural communities, acting as devices through which a community redefines itself, reinforces its sociality, reshapes the perception and use of the surrounding environment. In so doing, thus, the books suggests to read the festivals not just as celebrations driven by food fashion, but rather fundamental grassroots instruments to contrast the effects of rural marginalization and pave the way to a possible better future for the community

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

221

Publisher

Springer Nature

Published Date

ISBN 10

3030533212

ISBN 13

9783030533212

Fra Filippo Lippi the Carmelite Painter

By: Megan Holmes,Filippo Lippi (Fra)

Write a review Read reviews Take a Quiz Solve Book Puzzle

Fra Filippo Lippi the Carmelite Painter

By: Megan Holmes,Filippo Lippi (Fra)

Widely admired for his paintings of exquisitely beautiful Madonnas, Florentine Renaissance friar-artist Fra Filippo Lippi (c. 1406-69) gained renown also for his love affair with the nun Lucrezia who bore their son, Filippino Lippi, later a well-known painter himself. In this beautiful and compelling book, Megan Holmes shines new light on Lippi's life and career, from the first paintings he created while a friar in Santa Maria del Carmine to the later works he painted when living outside the monastery for the Medici family, their supporters, and other patrons. Focusing especially on the fascinating conjunction of Lippi's work as a painter and his experiences as a Carmelite friar, Holmes transforms our understanding of Filippo Lippi and of the way art was produced and viewed in fifteenth-century Florence. Unlike most monastic artists, Fra Filippo learned to paint only after joining a religious order. In the first section of the book, the author considers how the doctrines, rules, rituals, and practices of the Carmelites shaped Lippi's art and manner of envisioning sacred subjects. In the second section, Holmes discusses Lippi's life and painting after he left the monastery, demonstrating how his mature work broke new ground but continued to draw upon Carmelite influences. The final section of the book looks closely at three altarpieces Fra Filippo painted for monastic institutions and sets them in a broader social and religious context.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

323

Publisher

Yale University Press

Published Date

ISBN 10

0300081049

ISBN 13

9780300081046

Heroic Armor of the Italian Renaissance

Filippo Negroli and His Contemporaries

By: Stuart W. Pyhrr,Filippo Negroli,José-A. Godoy,Metropolitan Museum of Art (New York, N.Y.)

Write a review Read reviews Take a Quiz Solve Book Puzzle

Heroic Armor of the Italian Renaissance

Filippo Negroli and His Contemporaries

By: Stuart W. Pyhrr,Filippo Negroli,José-A. Godoy,Metropolitan Museum of Art (New York, N.Y.)

The re-creation of classically inspired armor is invariably associated with Filippo Negroli, the most innovative and celebrated of the renowned armorers of Milan.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

370

Publisher

Metropolitan Museum of Art

Published Date

ISBN 10

0870998722

ISBN 13

9780870998720

Information and Communication in Venice

Rethinking Early Modern Politics

By: Filippo de Vivo

Write a review Read reviews Take a Quiz Solve Book Puzzle

Information and Communication in Venice

Rethinking Early Modern Politics

By: Filippo de Vivo

Communication in the government -- Communication in the political arena -- Communication in the city -- Communicative transactions -- The system challenged : the interdict of 1606-7 -- Propaganda? : print in context

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

325

Publisher

Oxford University Press

Published Date

ISBN 10

0199227063

ISBN 13

9780199227068

A Course in the Calculus of Variations

Optimization, Regularity, and Modeling

By: Filippo Santambrogio

Write a review Read reviews Take a Quiz Solve Book Puzzle

A Course in the Calculus of Variations

Optimization, Regularity, and Modeling

By: Filippo Santambrogio

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

354

Publisher

Springer Nature

Published Date

ISBN 10

3031450361

ISBN 13

9783031450365

Optimal Transport for Applied Mathematicians

Calculus of Variations, PDEs, and Modeling

By: Filippo Santambrogio

Write a review Read reviews Take a Quiz Solve Book Puzzle

Optimal Transport for Applied Mathematicians

Calculus of Variations, PDEs, and Modeling

By: Filippo Santambrogio

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

376

Publisher

Birkhäuser

Published Date

ISBN 10

3319208284

ISBN 13

9783319208282

Book's by Filippo Santambrogio

A Course in the Calculus of Variations

A Course in the Calculus of Variations

Mean Field Games

Mean Field Games

Optimal Transport for Applied Mathematicians

Optimal Transport for Applied Mathematicians

Food Festivals and Local Development in Italy

Food Festivals and Local Development in Italy

Fra Filippo Lippi the Carmelite Painter

Fra Filippo Lippi the Carmelite Painter

Heroic Armor of the Italian Renaissance

Heroic Armor of the Italian Renaissance

Information and Communication in Venice

Information and Communication in Venice

A Course in the Calculus of Variations

A Course in the Calculus of Variations

Optimal Transport for Applied Mathematicians

Optimal Transport for Applied Mathematicians

Username

Password

Username

Password

Password again

Birthday

Email