Intended for advanced undergraduates and graduate students, this concise text focuses on the convergence of real series. Definitions of the terms and summaries of those results in analysis that are of special importance in the theory of series are specified at the outset. In the interests of maintaining a succinct presentation, discussion of the question of the upper and lower limits of a function is confined to an outline of those properties with...

One of the finest expositors in the field of modern mathematics, Dr. Konrad Knopp here concentrates on a topic that is of particular interest to 20th-century mathematicians and students. He develops the theory of infinite sequences and series from its beginnings to a point where the reader will be in a position to investigate more advanced stages on his own. The foundations of the theory are therefore presented with special care, while the developmental...

DASH rookies Kaito and Mizuki are sent on a mission together. Can they stop the alien invaders?

June, 1968. An air force astronaut flies to an orbiting observation platform for a forty-day stint spying on the Soviet Union from space-and discovers a plot that will determine the fate of the world. The fourth book in the Altered Space series, Infinite Blues imagines a militarized Space Race in a Cold War that never was, with America trying to find its way back to normalcy after the MacArthur presidency, and warily watching as Beria's Soviet Union...

"Writing with clear knowledge and affection for the subject, the author introduces and explores infinite sets, infinite cardinals, and ordinals, thus challenging the readers' intuitive beliefs about infinity. Requiring little mathematical training and a healthy curiosity, the book presents a user-friendly approach to ideas involving the infinite. Readers will discover the main ideas of infinite cardinals and ordinal numbers without experiencing in-depth...

"Idiot's Guides: Calculus II, like its counterpart Idiot's Guides: Calculus I, is a curriculum-based companion book that continues the tradition of taking the sting out of calculus by adding more explanatory graphs and illustrations in easy-to-understand language, practice problems, and even a test at the end. Idiot's Guides: Calculus II is geared for all students who need to succeed in calculus, "--Amazon.com.

Learning the basics of Latin can vastly improve your vocabulary and even provide keys to understanding legal, medical, and scientific terminology. This guide covers the most important basics of Latin, and will have you speaking like an ancient Roman in no time!

"Storm Freeman gave the world a miracle. She designed The Gatherer to draw electromagnetic energy from the air and disperse free and infinite electricity to rural and underprivileged communities. Her invention helped people but devalued power industries. Some revered Storm as a deity. Others saw her as an eco-terrorist. Then the miracle became a curse. The Gatherer unleashed a plague that damaged the human electrical system, bringing pain, suffering--and...

A series of interviews with the Chilean author.

From Euclidian to Hilbert Spaces analyzes the transition from finite dimensional Euclidian spaces to infinite-dimensional Hilbert spaces, a notion that can sometimes be difficult for non-specialists to grasp. The focus is on the parallels and differences between the properties of the finite and infinite dimensions, noting the fundamental importance of coherence between the algebraic and topological structure, which makes Hilbert spaces the infinite-dimensional...