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This book serves as an introductory asset for learning metric geometry by delivering an in-depth examination of key constructions and providing an analysis of universal spaces, injective spaces, the Gromov-Hausdorff convergence, and ultralimits.This book illustrates...
Editeur :
Springer
Parution :
2023-11-21
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This monograph presents the geometric foundations of continuum mechanics. An emphasis is placed on increasing the generality and elegance of the theory by scrutinizing the relationship between the physical aspects and the mathematical notions used in its formulation....
Editeur :
Birkhäuser
Parution :
2023-10-31
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This volume of proceedings contains research results within the framework of the fields of Chaos, Fractals and Complexity, written by experienced professors, young researchers, and applied scientists. It includes reviews of the fields, which are presented in an...
Editeur :
Springer
Parution :
2023-09-20
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Semi-Infinite Geometry is a theory of "doubly infinite-dimensional" geometric or topological objects. In this book the author explains what should be meant by an algebraic variety of semi-infinite nature. Then he applies the framework of semiderived categories,...
Editeur :
Birkhäuser
Parution :
2023-09-14
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This book provides an elementary introduction, complete with detailed proofs, to the celebrated tilings of the plane discovered by Sir Roger Penrose in the '70s. Quasi-periodic tilings of the plane, of which Penrose tilings are the most famous example, started as...
Editeur :
Springer
Parution :
2023-08-19
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This monograph deals with matrix manifolds, i.e., manifolds for which there is a natural representation of their elements as matrix arrays. Classical matrix manifolds (Stiefel, Grassmann and flag manifolds) are studied in a more general setting. It provides tools to...
Editeur :
Springer
Parution :
2023-08-16
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This book uses algebraic tools to study the elementary properties of classes of fields and related algorithmic problems. The first part covers foundational material on infinite Galois theory, profinite groups, algebraic function fields in one variable and plane curves....
Editeur :
Springer
Parution :
2023-06-12
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This book collects the proceedings of a series of conferences dedicated to birational geometry of Fano varieties held in Moscow, Shanghai and PohangThe conferences were focused on the following two related problems:• existence of Kähler–Einstein metrics on Fano...
Editeur :
Springer
Parution :
2023-05-23
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This volume collects the lecture notes of the school TiME2019 (Treasures in Mathematical Encounters). The aim of this book is manifold, it intends to overview the wide topic of algebraic curves and surfaces (also with a view to higher dimensional varieties) from...
Editeur :
Springer
Parution :
2023-05-03
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This volume is dedicated to Ciro Ciliberto on the occasion of his 70th birthday and contains refereed papers, offering an overview of important parts of current research in algebraic geometry and related research in the history of mathematics. It presents original...
Editeur :
Birkhäuser
Parution :
2023-04-14
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This proceedings volume contains articles related to the research presented at the 2019 Simons Symposium on p-adic Hodge theory.This symposium was focused on recent developments in p-adic Hodge theory, especially those concerning non-abelian aspectsThis volume contains...
Editeur :
Springer
Parution :
2023-03-28
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This volume guides early-career researchers through recent breakthroughs in mathematics and physics as related to general relativity. Chapters are based on courses and lectures given at the July 2019 Domoschool, International Alpine School in Mathematics and Physics,...
Editeur :
Birkhäuser
Parution :
2023-03-15
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This brief presents a global perspective on the geometry of spaces of polynomials. Its particular focus is on polynomial spaces of dimension 3, providing, in that case, a graphical representation of the unit ball. Also, the extreme points in the unit ball of several...
Editeur :
Springer
Parution :
2023-03-14
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Complex Analysis is the powerful fusion of the complex numbers (involving the 'imaginary' square root of -1) with ordinary calculus, resulting in a tool that has been of central importance to science for more than 200 years.
This book brings this majestic and...
Editeur :
OUP Oxford
Parution :
2023-02-07
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Zu Recht wird Albert Einsteins Entdeckung der Allgemeinen Relativitätstheorie bewundert, denn ihre Erkenntnisse haben unseren Blick auf das Universum grundlegend verändert. Aus mathematischer Perspektive basiert die Theorie auf zentralen Aussagen der Riemann’schen...
Editeur :
Springer Spektrum
Parution :
2023-01-21
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Many of the most famous results in mathematics are impossibility theorems stating that something cannot be done. Good examples include the quadrature of the circle by ruler and compass, the solution of the quintic equation by radicals, Fermat's last theorem, and the...
Editeur :
OUP Oxford
Parution :
2023-01-11
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This book contains a self-consistent treatment of a geometric averaging technique, induced by the Ricci flow, that allows comparing a given (generalized) Einstein initial data set with another distinct Einstein initial data set, both supported on a given closed...
Editeur :
Springer
Parution :
2023-01-10
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Many of the most famous results in mathematics are impossibility theorems stating that something cannot be done. Good examples include the quadrature of the circle by ruler and compass, the solution of the quintic equation by radicals, Fermat's last theorem, and the...
Editeur :
OUP Oxford
Parution :
2022-12-30
ePub
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This book is based on a series of lectures given by the author at SISSA, Trieste, within the PhD courses Techniques in enumerative geometry (2019) and Localisation in enumerative geometry (2021). The goal of this book is to provide a gentle introduction, aimed mainly at...
Editeur :
Springer
Parution :
2022-12-14
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Over the course of his distinguished career, Claude Viterbo has made a number of groundbreaking contributions in the development of symplectic geometry/topology and Hamiltonian dynamics. The chapters in this volume – compiled on the occasion of his 60th birthday –...
Editeur :
Birkhäuser
Parution :
2022-12-05
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