Analysis in singular spaces is becoming an increasingly important area of
research, with motivation coming from the calculus of variations, PDEs,
geometric analysis, metric geometry and probability theory, just to mention a
few areas. In all these fields, the role of measure theory is crucial and an
appropriate understanding of the interaction between the relevant measuretheoretic
framework and the objects under investigation is important to a
successful research.
The aim of this book, which gathers contributions from leading specialists with
different backgrounds, is that of creating a collection of various aspects of
measure theory occurring in recent research with the hope of increasing
interactions between different fields.
List of contributors: Luigi Ambrosio, Vladimir I. Bogachev, Fabio Cavalletti,
Guido De Philippis, Shouhei Honda, Tom Leinster, Christian Leonard, Andrea
Marchese, Mark W. Meckes, Filip Rindler, Nageswari Shanmugalingam,
Takashi Shioya, and Christina Sormani.
Nicola Gigli, Scuola Internazionale Superiore di Studi Avanzati (SISSA), Italy.
246 pages
Hardcover:
ISBN 978-3-11-055082-5
Date of Publication: August 2017
Language of Publication: English
Analysis
General Mathematics
Geometry and Topology
Of interest to: Researchers and graduate students in mathematics.
ISBN print 978-3-03719-177-4
August 2017, 302 pages, softcover, 17 x 24 cm.
The Abel Prize was established in 2002 by the Norwegian Ministry of Education and Research. It has been awarded annually to mathematicians in recognition of pioneering scientific achievements.
Since the first occasion in 2003, Martin Raussen and Christian Skau have had the opportunity to conduct extensive interviews with the laureates. The interviews were broadcast by Norwegian television; moreover, they have appeared in the membership journals of several mathematical societies.
The interviews from the period 2003???2016 have now been collected in this edition. They highlight the mathematical achievements of the laureates in a historical perspective and they try to unravel the way in which the world’s most famous mathematicians conceive and judge their results, how they collaborate with peers and students, and how they perceive the importance of mathematics for society.
Keywords: Abel prize, laureates, interviews, history of mathematics, appreciation of mathematics
Seminaires et Congres Volume: 30
2017; 153 pp; Softcover
Print ISBN: 978-2-85629-858-9
This book results from notes of the lectures given in Monastir from June 10?14, 2013 during the workshop about the dispersion and scattering theory and control theory of partial differential equations. This volume contains surveys of active research topics, along with original research papers containing exciting new results on PDEs, dispersion, scattering and control theory. It will, therefore, benefit both graduate students and researchers.
Graduate students and research mathematicians.
Surveys of Modern Mathematics, Volume 14
Published: 13 September 2017
Paperback
232 pages
The concept of Riemann surfaces was introduced in Riemann’s thesis, and the moduli space of Riemann surfaces was defined by Riemann in a masterpiece a few years later. Due to a broad connection with many subjects in mathematics and physics, Riemann surfaces and their moduli spaces have been intensively studied and should continue to attract attention in years to come. Recently, there has been an explosion of interest in and work on tropical algebraic curves?analogues of algebraic curves over the complex numbers and hence of Riemann surfaces.
This book is an accessible introduction to all these topics, with special emphasis given to their many connections with subjects such as algebraic geometry, complex analysis, hyperbolic geometry, topology, geometric group theory, and mathematical physics.
1st ed. 2018, XXXV, 842 p. 73 illus.
Printed book
Hardcover
ISBN 978-3-319-65623-6
This is a two-volume collection presenting the collected works of Herbert Busemann,
one of the leading geometers of the twentieth century and one of the main founders of
metric geometry, convexity theory and convexity in metric spaces. Busemann also did
substantial work (probably the most important) on Hilbert’s Problem IV. These collected
works include Busemann’s most important published articles on these topics.
Volume I of the collection features Busemann’s papers on the foundations of geodesic
spaces and on the metric geometry of Finsler spaces.
Volume II includes Busemann’s papers on convexity and integral geometry, on Hilbert’s
Problem IV, and other papers on miscellaneous subjects.
Each volume offers biographical documents and introductory essays on Busemann’s
work, documents from his correspondence and introductory essays written by leading
specialists on Busemann’s work. They are a valuable resource for researchers in synthetic
and metric geometry, convexity theory and the foundations of geometry.