This is an advanced text for the one- or two-semester course in analysis taught primarily to math, science, computer science, and electrical engineering majors at the junior, senior or graduate level. The basic techniques and theorems of analysis are presented in such a way that the intimate connections between its various branches are strongly emp...more

Set during the Salem witchcraft trials, this play is most famous for its metaphor for McCarthyism--in fact, three years after the play was produced, Miller himself was called before HUAC. In the play, Miller used colonial language to near-poetic effect; the plot involves characters who have to make certain moral choices concerning their communities...more

With the Trojan war finally over after many long years, Odysseus wants nothing more than a swift journey home where his throne and beloved wife, Penelope, await him. But Poseidon, the sea god, bears a grudge against him and plans to prevent his return across the wine-dark sea to Ithaca. Many tests of strength and character ensue as Odysseus's jo...more

This book's organizing principle is the interplay between groups and rings, where “rings” includes the ideas of modules. It contains basic definitions, complete and clear theorems (the first with brief sketches of proofs), and gives attention to the topics of algebraic geometry, computers, homology, and representations. More than merely a ...more

In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism. This modern approch, based on the theory of the geometry of manifolds, distinguishes iteself ...more

Progress in low-dimensional topology has been very fast over the last two decades, leading to the solutions of many difficult problems. One of the consequences of this "acceleration of history" is that many results have only appeared in professional journals and monographs. These are hardly accessible to students who have completed only a basic cou...more

This text has been adopted at: University of Pennsylvania, Philadelphia University of Connecticut, Storrs Duke University, Durham, NC California Institute of Technology, Pasadena University of Washington, Seattle Swarthmore College, Swarthmore, PA University of Chicago, IL University of Michigan, Ann Arbor "In the reviewer's opinion, t...more