Description

Book Synopsis

Concepts drawn from topology and differential geometry have become essential to the understanding of several phenomena in condensed matter physics. This book provides a self-consistent introduction to the mathematical ideas and methods from these fields that will enable the student of condensed matter physics to begin applying these concepts with confidence. This expanded second edition adds eight new chapters, including one on the classification of topological states of topological insulators and superconductors and another on Weyl semimetals, as well as elaborated discussions of the Aharonov-Casher effect, topological magnon insulators, topological superconductors and K-theory.


Key Features:


  • Provides an introduction to path integral formalism
  •  Introduces all the basic concepts in differential geometry and topology
  •  Presents the quantum Hall effect using topology concepts
  • Includes an in

A Brief Introduction to Topology and Differential

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    Order before 4pm today for delivery by Wed 24 Jun 2026.

    A Paperback by Antonio Sergio Teixeira Pires

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      View other formats and editions of A Brief Introduction to Topology and Differential by Antonio Sergio Teixeira Pires

      Publisher: Institute of Physics Publishing
      Publication Date: 11/30/2021 12:00:00 AM
      ISBN13: 9780750339537, 978-0750339537
      ISBN10: 0750339535

      Description

      Book Synopsis

      Concepts drawn from topology and differential geometry have become essential to the understanding of several phenomena in condensed matter physics. This book provides a self-consistent introduction to the mathematical ideas and methods from these fields that will enable the student of condensed matter physics to begin applying these concepts with confidence. This expanded second edition adds eight new chapters, including one on the classification of topological states of topological insulators and superconductors and another on Weyl semimetals, as well as elaborated discussions of the Aharonov-Casher effect, topological magnon insulators, topological superconductors and K-theory.


      Key Features:


      • Provides an introduction to path integral formalism
      •  Introduces all the basic concepts in differential geometry and topology
      •  Presents the quantum Hall effect using topology concepts
      • Includes an in

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