Geometry, Topology and Physics

Differential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies of condensed matter physics, gravity, and particle physics. Geometry, Topology and Physics, Second Edition introduces the ideas and techniques of differential geometry and topology at a level suitable for postgraduate students and researchers in these fields.

The second edition of this popular and established text incorporates a number of changes designed to meet the needs of the reader and reflect the development of the subject. The book features a considerably expanded first chapter, reviewing aspects of path integral quantization and gauge theories. Chapter 2 introduces the mathematical concepts of maps, vector spaces, and topology. The following chapters focus on more elaborate concepts in geometry and topology and discuss the application of these concepts to liquid crystals, superfluid helium, general relativity, and bosonic string theory. Later chapters unify geometry and topology, exploring fiber bundles, characteristic classes, and index theorems. New to this second edition is the proof of the index theorem in terms of supersymmetric quantum mechanics. The final two chapters are devoted to the most fascinating applications of geometry and topology in contemporary physics, namely the study of anomalies in gauge field theories and the analysis of Polakov's bosonic string theory from the geometrical point of view.

Geometry, Topology and Physics, Second Edition is an ideal introduction to differential geometry and topology for postgraduate students and researchers in theoretical and mathematical physics.

Informacja dotycząca wprowadzenia produktu do obrotu:
Ten produkt został wprowadzony na rynek przed 13 grudnia 2024 r. zgodnie z obowiązującymi wówczas przepisami (Dyrektywą o ogólnym bezpieczeństwie produktów). W związku z tym może on być nadal sprzedawany bez konieczności dostosowania do nowych wymogów wynikających z Rozporządzenia o Ogólnym Bezpieczeństwie Produktów (GPSR). Produkt zachowuje pełną legalność w obrocie, a jego jakość i bezpieczeństwo pozostają zgodne z obowiązującymi wcześniej standardami.

Information regarding product placement on the market:
This product was placed on the market before December 13, 2024, in accordance with the applicable regulations at the time (the General Product Safety Directive). As a result, it can continue to be sold without needing to meet the new requirements introduced by the General Product Safety Regulation (GPSR). The product remains fully compliant with all previously valid legal standards, ensuring its continued quality and safety.