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"The text covers a broad spectrum between basic and advanced complex variables on the one hand and between theoretical and applied or computational material on the other hand. With careful selection of the emphasis put on the various sections, examples, and exercises, the book can be used in a one- or two-semester course for undergraduate mathematics majors, a one-semester course for engineering or physics majors, or a one-semester course for first-year mathematics graduate students. It has been tested in all three settings at the University of Utah. The exposition is clear, concise, and lively. There is a clean and modern approach to Cauchy's theorems and Taylor series expansions, with rigo...
Foundations of Analysis has two main goals. The first is to develop in students the mathematical maturity and sophistication they will need as they move through the upper division curriculum. The second is to present a rigorous development of both single and several variable calculus, beginning with a study of the properties of the real number system. The presentation is both thorough and concise, with simple, straightforward explanations. The exercises differ widely in level of abstraction and level of difficulty. They vary from the simple to the quite difficult and from the computational to the theoretical. Each section contains a number of examples designed to illustrate the material in the section and to teach students how to approach the exercises for that section. --Book cover.
This text presents an integrated development of core material from several complex variables and complex algebraic geometry, leading to proofs of Serre's celebrated GAGA theorems relating the two subjects, and including applications to the representation theory of complex semisimple Lie groups. It includes a thorough treatment of the local theory using the tools of commutative algebra, an extensive development of sheaf theory and the theory of coherent analytic and algebraicsheaves, proofs of the main vanishing theorems for these categories of sheaves, and a complete proof of the finite dimensionality of the cohomology of coherent sheaves on compact varieties. The vanishing theorems have a w...
Understanding inventory its costs, its place in the supply chain, and what is considered its optimal level is important to an organization‘s profitability. Demonstrating how each link in the supply chain plays an integral role in the success of the whole, Rightsizing Inventory examines inventory throughout the entire internal and external su
The Making of a Champion: Success Is an Inconvenience. The Hard Truth about What It Takes to be Successful. Not Just on Game Day, But Every day! is an extraordinary book about football and life. Coach Joe Taylor is a legend in the football world. He has won 3 National Championships, 14 Conference Championships, 7 Bowl Games, and has a lifetime win-loss record of 229-89. He is respected with the likes of Eddie Robinson and Jake Gaither. More important than his success on the football field, he has coached and mentored thousands of young men from childhood to manhood. He has coached in historically black colleges and has helped many young men, who might have gone down the wrong path, to gradua...
Few things suggest rugged individualism as powerfully as the solitary mountaineer testing his or her mettle in the rough country. Yet the long history of wilderness sport complicates this image. In this surprising story of the premier rock-climbing venue in the United States, Pilgrims of the Vertical offers insight into the nature of wilderness adventure. From the founding era of mountain climbing in Victorian Europe to present-day climbing gyms, Pilgrims of the Vertical shows how ever-changing alignments of nature, technology, gender, sport, and consumer culture have shaped climbers’ relations to nature and to each other. Even in Yosemite Valley, a premier site for sporting and environmen...
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