• Title: Manifold Theory
• Author(s) Peter Petersen
• Publisher: The University of California, Los Angeles
• Hardcover: N/A
• eBook: PDF
• Language: English
• ISBN-10: N/A
• ISBN-13: N/A
• Share This:  

Book Description

This book introduces Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics with the aim of helping the reader achieve a rapid mastery of the essential topics.

• N/A

• Amazon

• Topology
• Geometry
• Differential Equations and Dynamical System
• Algebra, Abstract Algebra, and Linear Algebra

• Manifold Theory (Peter Petersen)
• The Mirror Site (1) - PDF
• The Mirror Site (2) - PDF

• Lectures on the Geometry of Manifolds (Liviu I Nicolaescu)

  Introduce the reader to some of the main techniques, ideas and concepts frequently used in modern geometry. Develop many algebraic-topological techniques in the special context of smooth Manifolds such as Poincaré duality, etc.

• Manifolds - Current Research Areas (Paul Bracken)

  This book cover a number of subjects which will be of interest to workers in these areas. It is hoped that the papers here will be able to provide a useful resource for researchers with regard to current fields of research in this important area.

• Quasi-projective Moduli for Polarized Manifolds (Eckart Viehweg)

  This book discusses two subjects of quite different nature: Construction methods for quotients of quasi-projective schemes by group actions or by equivalence relations and properties of direct images of certain sheaves under smooth morphisms.

• Foliations and the Geometry of 3-Manifolds (Danny Calegari)

  This book is to expose the "pseudo-Anosov" theory of foliations of 3-manifolds, which generalizes Thurston's theory of surface automorphisms, and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions.

• Introduction to Topology (Bert Mendelson, et al.)

  This concise book offers an ideal introduction to the fundamentals of topology. The book's principal aim is to provide a simple, thorough survey of elementary topics in the study of collections of objects, or sets, that possess a mathematical structure.

• Elementary Topology: Problem Textbook (O.Ya.Viro, et al.)

  This textbook on elementary topology contains a detailed introduction to general topology and an introduction to algebraic topology via its most classical and elementary segment centered at the notions of fundamental group and covering space.

• Topology without Tears (Sidney A. Morris)

  General topology is the branch of topology dealing with the basic set-theoretic definitions and constructions used in topology. The aim of this is to provide a thorough grouding of general topology. It offers an ideal introduction to the fundamentals of topology.