Topics in Commutative Ring Theory is a textbook for advanced undergraduate students as well as graduate students and mathematicians seeking an accessible introduction to this fascinating area of abstract algebra. Commutative ring theory arose more than a century ago to address questions in geometry and number theory. A commutative ring is a set-such as the integers, complex numbers, or polynomials with real coefficients--with two operations, addition and multiplication.
The results established in this book constitute a new departure in ergodic theory and a significant expansion of its scope. Traditional ergodic theorems focused on amenable groups, and relied on the existence of an asymptotically invariant sequence in the group, the resulting maximal inequalities based on covering arguments, and the transference principle.
In the Mind's Eye: Visual Thinkers, Gifted People With Learning Difficulties, Computer Images and the Ironies of Creativity
The computer-generated information superhighway could launch a new renaissance of creativity for millions of visual thinkers! Some of the greatest minds in politics, science, literature, and the arts experienced undetected learning disabilities that stopped them from assimilating information the same way as their peers. Some of our most original intellects relied heavily on visual modes of thought, processing information in terms of images instead of words or numbers.
Shakespeare A to Z - The Essential Reference to His Plays, His Poems, His Life and Times, and More
Easily the most respected, revered, and researched author of all time, William Shakespeare and his works have forever changed the face of literature, inspiring playful discussion and heated debate for hundreds of years. He wrote such well-known plays as Hamplet, Romeo and Juliet, and A Midsummer Night's Dream, published more than 150 sonnets, and coined more than 1,500 new words. While much of his life remains a mystery, this engrossing reference examines all facets of Shakespeare and his writings.
Designed for the use of teachers and advanced learners by William Stevens Balch (1806-1887)
It is designed for advanced scholars, and is introductory to a system of grammar which he has in preparation, which it is humbly hoped will be of some service in rendering easy and correct the study of our vernacular language. But this book, it is thought, may be successfully employed in the instruction of the higher classes in our schools, and will be found an efficient aid to teachers in inculcating the sublime principles of which it treats.