Informally, $K$-theory is a tool for probing the structure of a mathematical object such as a ring or a topological space in terms of suitably parameterized vector spaces and producing important intrinsic invariants which are useful in the study of algebr

Little k has an adventure with items beginning with his letter's sound, such as kittens, kingbirds, a koala, and kids in a kindergarten. Additional features to aid comprehension include rebus icons for word recognition, a word list for review, activities for further learning, a note to parents and educators, and an introduction to the author and illustrator.

2013 Caldecott Honor Book. From New York Times bestselling author Toni Buzzeo and Caldecott Medal winning illustrator David Small, comes a cool tale about an unlikely friendship. On a spontaneous visit to the aquarium, straight-laced and proper Elliot discovers his dream pet: a penguin. When he asks his father if he may have one (please and thank you), his father says yes. Elliot should have realized that Dad was probably thinking of a toy penguin, not a real one… Clever illustrations and a wild surprise ending make this sly, silly tale a kid-pleaser from start to finish.

Professor Francis Kauffman has unwittingly landed himself in prison where he's faced with an insurmountable task: execute a fellow inmate. Charged with igniting a political insurrection amongst his students at a university in Beijing, Kauffman is sent to the notorious Kun Chong Prison, where his existence grows stranger by the hour as he struggles with the weight of his imprisonment and his incurable need to write about it in a place where art is forbidden, and the inmates must act as executioners. As cultures clash in his filthy, crowded cell, it soon becomes clear that he's destined for a labor camp…or worse. In this surreal and brutally honest literary thriller, Kauffman reflects on the turbulent family history that brought him to China, where he leads a solitary, expat life of soulless insurance jobs and all-night writing binges, only to wind up fighting a battle for his life inside the walls of Kun Chong.

These notes are based on the course of lectures I gave at Harvard in the fall of 1964. They constitute a self-contained account of vector bundles and K-theory assuming only the rudiments of point-set topology and linear algebra. One of the features of the treatment is that no use is made of ordinary homology or cohomology theory. In fact, rational cohomology is defined in terms of K-theory.The theory is taken as far as the solution of the Hopf invariant problem and a start is mode on the J-homomorphism. In addition to the lecture notes proper, two papers of mine published since 1964 have been reproduced at the end. The first, dealing with operations, is a natural supplement to the material in Chapter III. It provides an alternative approach to operations which is less slick but more fundamental than the Grothendieck method of Chapter III, and it relates operations and filtration. Actually, the lectures deal with compact spaces, not cell-complexes, and so the skeleton-filtration does not figure in the notes. The second paper provides a new approach to K-theory and so fills an obvious gap in the lecture notes.

Volume 2 of two - also available in a set of both volumes.

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