This volume contains the proceedings of the ICTS program Knot Theory and Its Applications (KTH-2013), held from December 10–20, 2013, at IISER Mohali, India. The meeting focused on the broad area of knot theory and its interaction with other disciplines of theoretical science. The program was divided into two parts. The first part was a week-long advanced school which consisted of minicourses. The second part was a discussion meeting that was meant to connect the school to the modern research areas. This volume consists of lecture notes on the topics of the advanced school, as well as surveys and research papers on current topics that connect the lecture notes with cutting-edge research in the broad area of knot theory.
- ;The main theme of this book is the mathematical theory of knots and its interaction with the theory of surfaces and of group presentations.
Genera of the Arborescent Links
... by Philip J. Davis Celestial Mechanics, by Harry Pollard Field Theory and its Classical Problems, by Charles Robert Hadlock The Generalized Riemann Integral, by Robert M. McLeod From Error-Correcting Codes through Sphere Packings to ...
Quandles are essentially knots translated into algebra. This book provides an accessible introduction to quandle theory for readers with a background in linear algebra.
Particularly noteworthy is the table of knots and links at the end. This volume is an excellent introduction to the topic and is suitable as a textbook for a course in knot theory or 3-manifolds.
The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots
... Introduction to Analytic and Probabilistic Number Theory, Third Edition, 2015 Firas Rassoul-Agha and Timo Seppäläinen, A Course on Large Deviations with an Introduction to Gibbs Measures, 2015 Diane Maclagan and Bernd Sturmfels, ...
Knots Unravelled: From String to Mathematics