An Introduction To Riemann Surfaces Algebraic Curves And Moduli Spaces Theoretical And Mathematical Physics PDF EPUB Download

An Introduction To Riemann Surfaces Algebraic Curves And Moduli Spaces Theoretical And Mathematical Physics also available in docx and mobi. Read An Introduction To Riemann Surfaces Algebraic Curves And Moduli Spaces Theoretical And Mathematical Physics online, read in mobile or Kindle.

An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces

Author: Martin Schlichenmaier

Publisher: Springer Science & Business Media

ISBN:

Category: Science

Page: 217

View: 256

This book gives an introduction to modern geometry. Starting from an elementary level, the author develops deep geometrical concepts that play an important role in contemporary theoretical physics, presenting various techniques and viewpoints along the way. This second edition contains two additional, more advanced geometric techniques: the modern language and modern view of Algebraic Geometry and Mirror Symmetry.

An Introduction to Families, Deformations and Moduli

Author: T. E. Venkata Balaji

Publisher: Universitätsverlag Göttingen

ISBN:

Category: Complex manifolds

Page: 208

View: 656

Quantum Field Theory I: Basics in Mathematics and Physics

A Bridge between Mathematicians and Physicists

Author: Eberhard Zeidler

Publisher: Springer Science & Business Media

ISBN:

Category: Science

Page: 1051

View: 976

This is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists, at levels ranging from advanced undergraduate students to professional scientists. The book bridges the acknowledged gap between the different languages used by mathematicians and physicists. For students of mathematics the author shows that detailed knowledge of the physical background helps to motivate the mathematical subjects and to discover interesting interrelationships between quite different mathematical topics. For students of physics, fairly advanced mathematics is presented, which goes beyond the usual curriculum in physics.

Quantum Field Theory III: Gauge Theory

A Bridge between Mathematicians and Physicists

Author: Eberhard Zeidler

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 1126

View: 103

In this third volume of his modern introduction to quantum field theory, Eberhard Zeidler examines the mathematical and physical aspects of gauge theory as a principle tool for describing the four fundamental forces which act in the universe: gravitative, electromagnetic, weak interaction and strong interaction. Volume III concentrates on the classical aspects of gauge theory, describing the four fundamental forces by the curvature of appropriate fiber bundles. This must be supplemented by the crucial, but elusive quantization procedure. The book is arranged in four sections, devoted to realizing the universal principle force equals curvature: Part I: The Euclidean Manifold as a Paradigm Part II: Ariadne's Thread in Gauge Theory Part III: Einstein's Theory of Special Relativity Part IV: Ariadne's Thread in Cohomology For students of mathematics the book is designed to demonstrate that detailed knowledge of the physical background helps to reveal interesting interrelationships among diverse mathematical topics. Physics students will be exposed to a fairly advanced mathematics, beyond the level covered in the typical physics curriculum. Quantum Field Theory builds a bridge between mathematicians and physicists, based on challenging questions about the fundamental forces in the universe (macrocosmos), and in the world of elementary particles (microcosmos).

Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis

Author: Adrian Constantin

Publisher: SIAM

ISBN:

Category: Mathematics

Page: 331

View: 156

This overview of some of the main results and recent developments in nonlinear water waves presents fundamental aspects of the field and discusses several important topics of current research interest. It contains selected information about water-wave motion for which advanced mathematical study can be pursued, enabling readers to derive conclusions that explain observed phenomena to the greatest extent possible. The author discusses the underlying physical factors of such waves and explores the physical relevance of the mathematical results that are presented. The book is intended for mathematicians, physicists and engineers interested in the interplay between physical concepts and insights and the mathematical ideas and methods that are relevant to specific water-wave phenomena. The material is an expanded version of the author's lectures delivered at the NSF-CBMS Regional Research Conference in the Mathematical Sciences organized by the Mathematics Department of the University of Texas-Pan American in 2010.

Moduli of Riemann Surfaces, Real Algebraic Curves, and Their Superanalogs

Author: S. M. Natanzon

Publisher: American Mathematical Soc.

ISBN:

Category:

Page:

View: 503

Handbook of Teichmüller Theory

Author: Athanase Papadopoulos

Publisher: European Mathematical Society

ISBN:

Category: Mathematics

Page: 866

View: 539

Computational Approach to Riemann Surfaces

Author: Alexander I. Bobenko

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 257

View: 520

This volume is a well structured overview of existing computational approaches to Riemann surfaces as well as those under development. It covers the software tools currently available and provides solutions to partial differential equations and surface theory.

Analysis and Mathematical Physics

Author: Björn Gustafsson

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 514

View: 396

Our knowledge of objects of complex and potential analysis has been enhanced recently by ideas and constructions of theoretical and mathematical physics, such as quantum field theory, nonlinear hydrodynamics, material science. These are some of the themes of this refereed collection of papers, which grew out of the first conference of the European Science Foundation Networking Programme 'Harmonic and Complex Analysis and Applications' held in Norway 2007.

Lectures on Algebraic Geometry I

Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces

Author: Günter Harder

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 301

View: 760

This book and the following second volume is an introduction into modern algebraic geometry. In the first volume the methods of homological algebra, theory of sheaves, and sheaf cohomology are developed. These methods are indispensable for modern algebraic geometry, but they are also fundamental for other branches of mathematics and of great interest in their own. In the last chapter of volume I these concepts are applied to the theory of compact Riemann surfaces. In this chapter the author makes clear how influential the ideas of Abel, Riemann and Jacobi were and that many of the modern methods have been anticipated by them. For this second edition the text was completely revised and corrected. The author also added a short section on moduli of elliptic curves with N-level structures. This new paragraph anticipates some of the techniques of volume II.

Best Books