Analysis Meets Geometry

Analysis Meets Geometry
Author: Mats Andersson
Publisher: Birkhäuser
Total Pages: 464
Release: 2017-09-04
Genre: Mathematics
ISBN: 3319524712

This book is dedicated to the memory of Mikael Passare, an outstanding Swedish mathematician who devoted his life to developing the theory of analytic functions in several complex variables and exploring geometric ideas first-hand. It includes several papers describing Mikael’s life as well as his contributions to mathematics, written by friends of Mikael’s who share his attitude and passion for science. A major section of the book presents original research articles that further develop Mikael’s ideas and which were written by his former students and co-authors. All these mathematicians work at the interface of analysis and geometry, and Mikael’s impact on their research cannot be underestimated. Most of the contributors were invited speakers at the conference organized at Stockholm University in his honor. This book is an attempt to express our gratitude towards this great mathematician, who left us full of energy and new creative mathematical ideas.

Functional Analysis and Infinite-Dimensional Geometry

Functional Analysis and Infinite-Dimensional Geometry
Author: Marian Fabian
Publisher: Springer Science & Business Media
Total Pages: 455
Release: 2013-04-17
Genre: Mathematics
ISBN: 1475734808

This book introduces the basic principles of functional analysis and areas of Banach space theory that are close to nonlinear analysis and topology. The text can be used in graduate courses or for independent study. It includes a large number of exercises of different levels of difficulty, accompanied by hints.

Geometric Analysis

Geometric Analysis
Author: Eric Grinberg
Publisher: American Mathematical Soc.
Total Pages: 178
Release: 1992
Genre: Mathematics
ISBN: 0821851535

This volume contains the refereed proceedings of the Special Session on Geometric Analysis held at the AMS meeting in Philadelphia in October 1991. The term ``geometric analysis'' is being used with increasing frequency in the mathematical community, but its meaning is not entirely fixed. The papers in this collection should help to better define the notion of geometric analysis by illustrating emerging trends in the subject. The topics covered range over a broad spectrum: integral geometry, Radon transforms, geometric inequalities, microlocal analysis, harmonic analysis, analysis on Lie groups and symmetric spaces, and more. Containing articles varying from the expository to the technical, this book presents the latest results in a broad range of analytic and geometric topics.

Analysis, Geometry, and Modeling in Finance

Analysis, Geometry, and Modeling in Finance
Author: Pierre Henry-Labordere
Publisher: CRC Press
Total Pages: 403
Release: 2008-09-22
Genre: Business & Economics
ISBN: 1420087002

Analysis, Geometry, and Modeling in Finance: Advanced Methods in Option Pricing is the first book that applies advanced analytical and geometrical methods used in physics and mathematics to the financial field. It even obtains new results when only approximate and partial solutions were previously available.Through the problem of option pricing, th

Geometry and Convexity

Geometry and Convexity
Author: Paul J. Kelly
Publisher:
Total Pages: 0
Release: 2009
Genre: Convex bodies
ISBN: 9780486469805

This text assumes no prerequisites, offering an easy-to-read treatment with simple notation and clear, complete proofs. From motivation to definition, its explanations feature concrete examples and theorems. 1979 edition.

Analysis and Geometry on Graphs and Manifolds

Analysis and Geometry on Graphs and Manifolds
Author: Matthias Keller
Publisher: Cambridge University Press
Total Pages: 493
Release: 2020-08-20
Genre: Mathematics
ISBN: 1108587380

This book addresses the interplay between several rapidly expanding areas of mathematics. Suitable for graduate students as well as researchers, it provides surveys of topics linking geometry, spectral theory and stochastics.

Digital Geometry

Digital Geometry
Author: Reinhard Klette
Publisher: Morgan Kaufmann
Total Pages: 676
Release: 2004-08-06
Genre: Computers
ISBN: 1558608613

The first book on digital geometry by the leaders in the field.

Geometric Analysis

Geometric Analysis
Author: Peter Li
Publisher:
Total Pages:
Release: 2012
Genre: Geometric analysis
ISBN: 9781139423007

The aim of this graduate-level text is to equip the reader with the basic tools and techniques needed for research in various areas of geometric analysis. Throughout, the main theme is to present the interaction of partial differential equations and differential geometry. More specifically, emphasis is placed on how the behavior of the solutions of a PDE is affected by the geometry of the underlying manifold and vice versa. For efficiency the author mainly restricts himself to the linear theory and only a rudimentary background in Riemannian geometry and partial differential equations is assumed. Originating from the author's own lectures, this book is an ideal introduction for graduate students, as well as a useful reference for experts in the field.

Mathematical Analysis of Physical Problems

Mathematical Analysis of Physical Problems
Author: Philip Russell Wallace
Publisher: Courier Corporation
Total Pages: 644
Release: 1984-01-01
Genre: Science
ISBN: 0486646769

This mathematical reference for theoretical physics employs common techniques and concepts to link classical and modern physics. It provides the necessary mathematics to solve most of the problems. Topics include the vibrating string, linear vector spaces, the potential equation, problems of diffusion and attenuation, probability and stochastic processes, and much more. 1972 edition.