The subject of this book is Complex Analysis in Several Variables. This text begins at an elementary level with standard local results, followed by a thorough discussion of the various fundamental concepts of "complex convexity" related to the remarkable extension properties of holomorphic functions in more than one variable. It then continues with a comprehensive introduction to integral representations, and concludes with complete proofs of substantial global results on domains of holomorphy and on strictly pseudoconvex domains inC", including, for example, C. Fefferman's famous Mapping Theorem. The most important new feature of this book is the systematic inclusion of many of the developments of the last 20 years which centered around integral representations and estimates for the Cauchy-Riemann equations. In particu lar, integral representations are the principal tool used to develop the global theory, in contrast to many earlier books on the subject which involved methods from commutative algebra and sheaf theory, and/or partial differ ential equations. I believe that this approach offers several advantages: (1) it uses the several variable version of tools familiar to the analyst in one complex variable, and therefore helps to bridge the often perceived gap between com plex analysis in one and in several variables; (2) it leads quite directly to deep global results without introducing a lot of new machinery; and (3) concrete integral representations lend themselves to estimations, therefore opening the door to applications not accessible by the earlier methods.
This unique book provides a new and well-motivated introduction to calculus and analysis, historically significant fundamental areas of mathematics that are widely used in many disciplines. It begins with familiar elementary high school geometry and algebra, and develops important concepts such as tangents and derivatives without using any advanced tools based on limits and infinite processes that dominate the traditional introductions to the subject. This simple algebraic method is a modern version of an idea that goes back to René Descartes and that has been largely forgotten. Moving beyond algebra, the need for new analytic concepts based on completeness, continuity, and limits becomes clearly visible to the reader while investigating exponential functions.The author carefully develops the necessary foundations while minimizing the use of technical language. He expertly guides the reader to deep fundamental analysis results, including completeness, key differential equations, definite integrals, Taylor series for standard functions, and the Euler identity. This pioneering book takes the sophisticated reader from simple familiar algebra to the heart of analysis. Furthermore, it should be of interest as a source of new ideas and as supplementary reading for high school teachers, and for students and instructors of calculus and analysis.
The bestselling, masterful account of one American family's passage through the turbulent landscape of the postwar era, 1945-1990, illuminating the interplay between private life and the profound cultural changes of the times.
This book examines ways in which formerly prosperous regions can renew their economy during and after a period of industrial and economic recession. Using New York’s Capital Region (i.e., Albany, Troy, Schenectady, etc.) as a case study, the authors show how entrepreneurship, innovation, investment in education, research and political collaboration are critical to achieving regional success. In this way, the book provides other regions and nations with a real-life model for successful economic development. In the past half century, the United States and other nations have seen an economic decline of formerly prosperous regions as a result of new technology and globalization. One of the hardest-hit United States regions is Upstate New York or “the Capital Region”; it experienced a demoralizing hemorrhage of manufacturing companies, jobs and people to other regions and countries. To combat this, the region, with the help of state leaders, mounted a decades-long effort to renew and restore the region’s economy with a particular focus on nanotechnology. As a result, New York’s Capital Region successfully added thousands of well-paying, skill-intensive manufacturing jobs. New York’s success story serves as a model for economic development for policy makers that includes major public investments in educational institutions and research infrastructure; partnerships between academia, industry and government; and creation of frameworks for intra-regional collaboration by business, government, and academic actors. Featuring recommendations for best practices in regional development policy, this book is appropriate for scholars, students, researchers and policy makers in regional development, innovation, R&D policy, economic development and economic growth.
Best Places RM guides have been published continuously since 1975 and are one of the most respected regional travel series in the country. Each guide is written completely independently: no advertisers, no sponsors, no favors. Our local writers know their territory, work incognito, and seek out the very best. It is this philosophy that has made Best Places RM the best-selling travel series in the West.
The last great hope. For a millennia after the accident, Earth lay cold and still, its small population punished by the dismal climate, harried by the plague, and impoverished by frequent bloody wars. Then, unexpectedly, the oppressed had reason to hope, for a leader stalked the frozen seas with great ice fleets and new ideas. . . In terrible battles he vanquished the forces of tyranny and brought promise of renewal to an otherwise miserable world. But nothing was quite as it seemed -- either to Michael Ormson or his followers.
This guide helps bodybuilders and strength athletes isolate exercises to focus on developing powerful shoulders and a strong, defined back. 200 photos.
Daniel Prentice's technological skill helped save the world from the deadly impact of Y2K in the popular thriller Flee the Darkness. But that victory didn't stop the encroaching evil. In this gripping sequel, tension mounts in the 21st century as a Russion-Arab invasion of Jerusalem seems imminent. Now Daniel must guide NSA chief Captain Michael Reed in the battle ahead. More than a battle for the land, the offensive could be the fulfillment of Ezekiel's ancient biblical prophecy of Gog and Magog invading Israel. As the world shudders in response, the invaders offer Israel a choice: surrender or be obliterated. As the State of Israel fortifies itself against the coming onslaught of missiles, biological weapons, and an invasion force attacking from all four borders, Reed and his Israeli counterpart, Sergeant Major Devorah Cohen, exhaust every military resource to prevent a nuclear war. Soon Reed and Cohen realize that the real battle they face is one of spiritual origin-for which no military drill could prepare them. Will Michael and Deborah find faith to confront the enemy? Never have the forces of evil been stronger, the stakes higher, or the world's possible destruction nearer than By Dawn's Early Light.
Today’s best-known expert on the topic shows business leaders how to dramatically increase corporate value through smart, strategic divestitures You've focused on mergers and acquisitions, but how much do you know about divestitures? Wharton Professor Emilie R. Feldman provides a comprehensive primer on what strategic objectives divestitures can achieve, which businesses divestitures typically involve, what divestiture structures companies can choose from, and how to implement divestitures to maximize their financial benefits. Divestitures are among the hottest transactional structures today. Divestitures: Creating Value Through Strategy, Structure, and Implementation shows executives, board members, transactional advisors, educators, and others how strategic divestitures can be used to enhance corporate value and performance. The book is organized into three sections: Strategy: Remove problems, improve focus, reconfigure the corporate portfolio, and address regulatory requirements Structure: Sales, spinoffs, equity carveouts, Reverse Morris Trusts, joint ventures, and tracking stocks Implementation: Separate the divested business, reconfigure internal processes, and reshape external perceptions This essential book fills major gaps in the professional and academic markets, providing the only available rigorous, research-based treatment of this important strategic tool.
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