"The Irrational Knot" is an unconventional love story between Marian Lind, an upper-class lady, and Edward Conolly, a workman turned magnate. The story follows the inability of Marian to rise above the preconception of her social class and support her husband's interests. Will the couple be able to overcome this obstacle? It is a book that features a theme of romance, marriage, and social class by George Bernard Shaw.

The Irrational Knot was first published in 1905, having been written in 1880. Within a framework of leisure class preoccupations and frivolities Shaw disdains hereditary status and proclaims the nobility of workers. Marriage, as the knot in question, is exemplified by the union of Marian Lind, a lady of the upper class, to Edward Conolly, always a workman but now a magnate, thanks to his invention of an electric motor that makes steam engines obsolete. The marriage soon deteriorates, primarily because Marian fails to rise above the preconceptions and limitations of her social class and is, therefore, unable to share her husband's interests.

Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots. It presents the applications of knot theory to modern chemistry, biology and physics.

Marriage, as the knot in question, is exemplified by the union of Marian Lind, a lady of the upper class, to Edward Conolly, always a workman but now a magnate, thanks to his invention of an electric motor that makes steam engines obsolete. The marriage soon deteriorates, primarily because Marian fails to rise above the preconceptions and limitations of her social class and is, therefore, unable to share her husband's interests. Eventually she runs away with a man who is her social peer, but he proves himself a scoundrel and abandons her in desperate circumstances. Her husband rescues her and offers to take her back, but she pridefully refuses, convinced she is unworthy and certain that she faces life as a pariah to her family and friends.

Rolfsen's beautiful book on knots and links can be read by anyone, from beginner to expert, who wants to learn about knot theory. Beginners find an inviting introduction to the elements of topology, emphasizing the tools needed for understanding knots, the fundamental group and van Kampen's theorem, for example, which are then applied to concrete problems, such as computing knot groups. For experts, Rolfsen explains advanced topics, such as the connections between knot theory and surgery and how they are useful to understanding three-manifolds. Besides providing a guide to understanding knot theory, the book offers 'practical' training. After reading it, you will be able to do many things: compute presentations of knot groups, Alexander polynomials, and other invariants; perform surgery on three-manifolds; and visualize knots and their complements.It is characterized by its hands-on approach and emphasis on a visual, geometric understanding. Rolfsen offers invaluable insight and strikes a perfect balance between giving technical details and offering informal explanations. The illustrations are superb, and a wealth of examples are included. Now back in print by the AMS, the book is still a standard reference in knot theory. It is written in a remarkable style that makes it useful for both beginners and researchers. 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. Other key books of interest on this topic available from the AMS are ""The Shoelace Book: A Mathematical Guide to the Best (and Worst) Ways to Lace your Shoes"" and ""The Knot Book.""

A story of the knot of marriage, of how marriage leads to unhappiness.