Author : Tao Qian
Publisher : Birkhäuser
Page : 380 pages
File Size : 47,88 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 3034878389
At the heart of Clifford analysis is the study of systems of special partial differential operators that arise naturally from the use of Clifford algebra as a calculus tool. This book focuses on the study of Dirac operators and related ones, together with applications in mathematics, physics and engineering. This book collects refereed papers from a satellite conference to the ICM 2002, plus invited contributions. All articles contain unpublished new results.
Author : Pierre Henry-Labordere
Publisher : CRC Press
Page : 403 pages
File Size : 11,21 MB
Release : 2008-09-22
Category : 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
Author : Tao Qian
Publisher :
Page : 398 pages
File Size : 16,50 MB
Release : 2004-04-23
Category :
ISBN : 9783034878395
Author : Lizhen Ji
Publisher :
Page : 542 pages
File Size : 49,56 MB
Release : 2011
Category : Geometry, Analytic
ISBN : 9781571462244
Author : Ilia Itenberg
Publisher : Springer Science & Business Media
Page : 483 pages
File Size : 22,13 MB
Release : 2011-12-14
Category : Mathematics
ISBN : 0817682775
The articles in this volume are invited papers from the Marcus Wallenberg symposium and focus on research topics that bridge the gap between analysis, geometry, and topology. The encounters between these three fields are widespread and often provide impetus for major breakthroughs in applications. Topics include new developments in low dimensional topology related to invariants of links and three and four manifolds; Perelman's spectacular proof of the Poincare conjecture; and the recent advances made in algebraic, complex, symplectic, and tropical geometry.
Author : Maurice A. de Gosson
Publisher : Walter de Gruyter GmbH & Co KG
Page : 247 pages
File Size : 49,40 MB
Release : 2021-07-05
Category : Mathematics
ISBN : 3110722909
Quantum mechanics is arguably one of the most successful scientific theories ever and its applications to chemistry, optics, and information theory are innumerable. This book provides the reader with a rigorous treatment of the main mathematical tools from harmonic analysis which play an essential role in the modern formulation of quantum mechanics. This allows us at the same time to suggest some new ideas and methods, with a special focus on topics such as the Wigner phase space formalism and its applications to the theory of the density operator and its entanglement properties. This book can be used with profit by advanced undergraduate students in mathematics and physics, as well as by confirmed researchers.
Author : Fabrice Baudoin
Publisher : Springer Nature
Page : 312 pages
File Size : 43,28 MB
Release : 2022-02-04
Category : Mathematics
ISBN : 3030841413
This book includes four courses on geometric measure theory, the calculus of variations, partial differential equations, and differential geometry. Authored by leading experts in their fields, the lectures present different approaches to research topics with the common background of a relevant underlying, usually non-Riemannian, geometric structure. In particular, the topics covered concern differentiation and functions of bounded variation in metric spaces, Sobolev spaces, and differential geometry in the so-called Carnot–Carathéodory spaces. The text is based on lectures presented at the 10th School on "Analysis and Geometry in Metric Spaces" held in Levico Terme (TN), Italy, in collaboration with the University of Trento, Fondazione Bruno Kessler and CIME, Italy. The book is addressed to both graduate students and researchers.
Author : Stanislaw Janeczko
Publisher :
Page : 342 pages
File Size : 14,46 MB
Release : 2011
Category : Geometry, Analytic
ISBN : 9787040331271
Author : Jie Xiao
Publisher : Walter de Gruyter GmbH & Co KG
Page : 230 pages
File Size : 49,84 MB
Release : 2019-03-18
Category : Mathematics
ISBN : 3110600285
Starting with the fundamentals of Qα spaces and their relationships to Besov spaces, this book presents all major results around Qα spaces obtained in the past 16 years. The applications of Qα spaces in the study of the incompressible Navier-Stokes system and its stationary form are also discussed. This self-contained book can be used as an essential reference for researchers and graduates in analysis and partial differential equations.
Author :
Publisher :
Page : 229 pages
File Size : 32,47 MB
Release : 2009
Category : Geometric analysis
ISBN : 9787040276022
