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Global Differential Geometry

Global Differential Geometry PDF Author: Christian Bär
Publisher: Springer Science & Business Media
ISBN: 3642228429
Category : Mathematics
Languages : en
Pages : 520

Book Description
This volume contains a collection of well-written surveys provided by experts in Global Differential Geometry to give an overview over recent developments in Riemannian Geometry, Geometric Analysis and Symplectic Geometry. The papers are written for graduate students and researchers with a general interest in geometry, who want to get acquainted with the current trends in these central fields of modern mathematics.

Global Differential Geometry

Global Differential Geometry PDF Author: Christian Bär
Publisher: Springer Science & Business Media
ISBN: 3642228429
Category : Mathematics
Languages : en
Pages : 520

Book Description
This volume contains a collection of well-written surveys provided by experts in Global Differential Geometry to give an overview over recent developments in Riemannian Geometry, Geometric Analysis and Symplectic Geometry. The papers are written for graduate students and researchers with a general interest in geometry, who want to get acquainted with the current trends in these central fields of modern mathematics.

A Primer of Real Analytic Functions

A Primer of Real Analytic Functions PDF Author: KRANTZ
Publisher: Birkhäuser
ISBN: 3034876440
Category : Science
Languages : en
Pages : 190

Book Description
The subject of real analytic functions is one of the oldest in mathe matical analysis. Today it is encountered early in ones mathematical training: the first taste usually comes in calculus. While most work ing mathematicians use real analytic functions from time to time in their work, the vast lore of real analytic functions remains obscure and buried in the literature. It is remarkable that the most accessible treatment of Puiseux's theorem is in Lefschetz's quite old Algebraic Geometry, that the clearest discussion of resolution of singularities for real analytic manifolds is in a book review by Michael Atiyah, that there is no comprehensive discussion in print of the embedding prob lem for real analytic manifolds. We have had occasion in our collaborative research to become ac quainted with both the history and the scope of the theory of real analytic functions. It seems both appropriate and timely for us to gather together this information in a single volume. The material presented here is of three kinds. The elementary topics, covered in Chapter 1, are presented in great detail. Even results like a real ana lytic inverse function theorem are difficult to find in the literature, and we take pains here to present such topics carefully. Topics of middling difficulty, such as separate real analyticity, Puiseux series, the FBI transform, and related ideas (Chapters 2-4), are covered thoroughly but rather more briskly.

Real Analytic and Algebraic Geometry

Real Analytic and Algebraic Geometry PDF Author: Fabrizio Broglia
Publisher: Walter de Gruyter
ISBN: 3110881276
Category : Mathematics
Languages : en
Pages : 305

Book Description
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Sheaves on Manifolds

Sheaves on Manifolds PDF Author: Masaki Kashiwara
Publisher: Springer Science & Business Media
ISBN: 3662026619
Category : Mathematics
Languages : en
Pages : 522

Book Description
Sheaf Theory is modern, active field of mathematics at the intersection of algebraic topology, algebraic geometry and partial differential equations. This volume offers a comprehensive and self-contained treatment of Sheaf Theory from the basis up, with emphasis on the microlocal point of view. From the reviews: "Clearly and precisely written, and contains many interesting ideas: it describes a whole, largely new branch of mathematics." –Bulletin of the L.M.S.

Real Analytic and Algebraic Geometry

Real Analytic and Algebraic Geometry PDF Author: Margherita Galbiati
Publisher: Springer
ISBN: 3540469524
Category : Mathematics
Languages : en
Pages : 371

Book Description


Algebraic and Analytic Geometry

Algebraic and Analytic Geometry PDF Author: Amnon Neeman
Publisher: Cambridge University Press
ISBN: 0521709830
Category : Mathematics
Languages : en
Pages : 433

Book Description
Modern introduction to algebraic geometry for undergraduates; uses analytic ideas to access algebraic theory.

Real Analytic and Algebraic Geometry

Real Analytic and Algebraic Geometry PDF Author:
Publisher:
ISBN:
Category : Geometry, Algebraic
Languages : en
Pages : 310

Book Description


Analytic Topology

Analytic Topology PDF Author: Gordon Thomas Whyburn
Publisher: American Mathematical Soc.
ISBN: 0821810286
Category : Mathematics
Languages : en
Pages : 295

Book Description
"The material here presented represents an elaboration on my Colloquium Lectures delivered before the American Mathematical Society at its September, 1940 meeting at Dartmouth College." - Preface.

Real Algebraic Geometry

Real Algebraic Geometry PDF Author: Michel Coste
Publisher: Springer
ISBN: 3540473378
Category : Mathematics
Languages : en
Pages : 425

Book Description
Ten years after the first Rennes international meeting on real algebraic geometry, the second one looked at the developments in the subject during the intervening decade - see the 6 survey papers listed below. Further contributions from the participants on recent research covered real algebra and geometry, topology of real algebraic varieties and 16thHilbert problem, classical algebraic geometry, techniques in real algebraic geometry, algorithms in real algebraic geometry, semialgebraic geometry, real analytic geometry. CONTENTS: Survey papers: M. Knebusch: Semialgebraic topology in the last ten years.- R. Parimala: Algebraic and topological invariants of real algebraic varieties.- Polotovskii, G.M.: On the classification of decomposing plane algebraic curves.- Scheiderer, C.: Real algebra and its applications to geometry in the last ten years: some major developments and results.- Shustin, E.L.: Topology of real plane algebraic curves.- Silhol, R.: Moduli problems in real algebraic geometry. Further contributions by: S. Akbulut and H. King; C. Andradas and J. Ruiz; A. Borobia; L. Br|cker; G.W. Brumfield; A. Castilla; Z. Charzynski and P. Skibinski; M. Coste and M. Reguiat; A. Degtyarev; Z. Denkowska; J.-P. Francoise and F. Ronga; J.M. Gamboa and C. Ueno; D. Gondard- Cozette; I.V. Itenberg; P. Jaworski; A. Korchagin; T. Krasinksi and S. Spodzieja; K. Kurdyka; H. Lombardi; M. Marshall and L. Walter; V.F. Mazurovskii; G. Mikhalkin; T. Mostowski and E. Rannou; E.I. Shustin; N. Vorobjov.

Semidefinite Optimization and Convex Algebraic Geometry

Semidefinite Optimization and Convex Algebraic Geometry PDF Author: Grigoriy Blekherman
Publisher: SIAM
ISBN: 1611972280
Category : Mathematics
Languages : en
Pages : 487

Book Description
An accessible introduction to convex algebraic geometry and semidefinite optimization. For graduate students and researchers in mathematics and computer science.