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This book discusses major topics in measure theory, Fourier transforms, complex analysis and algebraic topology. It presents material from a mature mathematical perspective. The text is suitable for a two-semester graduate course in analysis and will help students prepare for a research career in mathematics. After a short survey of undergraduate analysis and measure theory, the book highlights the essential theorems that have now become ubiquitous in mathematics. It studies Fourier transforms, derives the inversion theorem and gives diverse applications ranging from probability theory to mathematical physics. It reviews topics in complex analysis and gives a synthetic, rigorous development of the calculus of residues as well as applications to a wide array of problems. It also introduces algebraic topology and shows the symbiosis between algebra and analysis. Indeed, algebraic archetypes were providing foundational support from the start. Multivariable calculus is comprehended in a single glance through the algebra of differential forms. Advanced complex analysis inevitably leads one to the study of Riemann surfaces, and so the final chapter gives the student a hint of these motifs and underlying algebraic patterns.
The subject of Detente, Democracy and Dictatorship has been with us since the breakdown of the Cold War and the termination of the Soviet system, indeed, if not since the origins of Bolshevism. No more vigorous critic of the uneasy co-existence of democracy and dictatorship exists than the greatest writer that the Soviet era of Russian history produced, Aleksandr Solzhenitsyn.
This third edition is based on major addresses, especially aimed at Americans, delivered in 1975 in Washington, D.C. and New York, and again, in 1978, at Harvard University in Cambridge, all on the subject of detente, democracy and dictatorship. It also includes Solzhenitsyn’s final 2007 interview with the German publication
Entrepreneurship is the mantra for modern MAKE IN INDIA. To help Entrepreneurs start their adventure journey, many tools are required to make them express their ideas. Starting from a simple pamphlet, flyer to a powerful website, an entrepreneur should be Digitally literate to explode their presence to this world. This book is targeted towards budding entrepreneurs to have a step by step approach for different digital tools with snapshots.
After a couple of unfortunate events, all Rachel wants is a place to lick her wounds; only to discover her Grammy has been conned. As options run out to save Grammy’s home from foreclosure, Rachel is forced to take matters into her hands. The only problem is; does this naive eccentric have what it takes to con a con?
A vampire seeks out an artist to paint her a portrait so that she can see her image for the first time.
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Since the death of their father, the Riley siblings have kept their heads above water by illegally dealing in painkillers. Josie is managing the business with an iron fist, when her brother, War veteran Kip, is concerned that the risky business is increasingly turning them into outsiders in their small community. While Kip wants to keep his younger brother out of their illegal endeavors, his younger brother is already making plans of his own.
John has lost all his money. He sits outside a diner in the desert when Sydney happens along, buys him coffee, then takes him to Reno and shows him how to get a free room without losing much money. Under Sydney’s fatherly tutelage, John becomes a successful small-time professional gambler, and all is well, until he falls for Clementine, a cocktail waitress and sometimes hooker.
A hapless fire crew are given the ultimatum: put out a fire successfully or else be sacked. They fail miserably, and their ancient fire engine is stolen by criminals attempting to steal the crown jewels from the Tower of London.
When young mum Elspeth Dickens (Laura Michelle Kelly), mother of naughty twin boys, installs a webcam in her kitchen, her funny sink-songs make her a cyber-sensation. While her husband James (Ronan Keating) is off saving the world’s whales, Elspeth is offered the chance of a lifetime. But when forced to choose between fame and family, the newly anointed internet goddess almost loses it all.