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This book provides the foundations for a rigorous theory of functional analysis with bicomplex scalars. It begins with a detailed study of bicomplex and hyperbolic numbers and then defines the notion of bicomplex modules. After introducing a number of norms and inner products on such modules (some of which appear in this volume for the first time), the authors develop the theory of linear functionals and linear operators on bicomplex modules. All of this may serve for many different developments, just like the usual functional analysis with complex scalars and in this book it serves as the foundational material for the construction and study of a bicomplex version of the well known Schur analysis.
Great writers inspire readers to head out in search of foreign sunsets, but in this instance, they inspired travel writer Michael Shapiro to head out for the great writers themselves. A Sense of Place is one writer's journey to visit all the heroes who have motivated him - to pack a pen and toothbrush, to find out where they live, why they chose the place, and how it influences their writing.
In the first of an in-depth narrative series that will illuminate key moments in journalism's rough evolution in the age of the Internet, Michael Shapiro tells the little known inside story of the San Jose Mercury News, which brilliantly seized the moment yet didn't know what to do with it, and then, sadly, released its grasp. Shapiro sheds light on the rise and fall of the Mercury's owner, Knight-Ridder, which rose to dizzying business and journalistic heights, only to crash, a victim of the great disruption. Was it inevitable, or were key mistakes made and opportunities missed?
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