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 Free Download Fat Manifolds and Linear Connections By Alessandro De Paris, Alexandre M 2008 | 312 Pages | ISBN: 9812819045 | PDF | 4 MB The theory of connections is central not only in pure mathematics (differential and algebraic geometry), but also in mathematical and theoretical physics (general relativity, gauge fields, mechanics of continuum media). The now-standard approach to this subject was proposed by Ch. Ehresmann 60 years ago, attracting first mathematicians and later physicists by its transparent geometrical simplicity. Unfortunately, it does not extend well to a number of recently emerged situations of significant importance (singularities, supermanifolds, infinite jets and secondary calculus, etc.). Moreover, it does not help in understanding the structure of calculus naturally related with a connection. In this unique book, written in a reasonably self-contained manner, the theory of linear connections is systematically presented as a natural part of differential calculus over commutative algebras. This not only makes easy and natural numerous generalizations of the classical theory and reveals various new aspects of it, but also shows in a clear and transparent manner the intrinsic structure of the associated differential calculus. The notion of a "fat manifold" introduced here then allows the reader to build a well-working analogy of this "connection calculus" with the usual one. Contents: Elements of Differential Calculus over Commutative Algebras:; Algebraic Tools; Smooth Manifolds; Vector Bundles; Vector Fields; Differential Forms; Lie Derivative; Basic Differential Calculus on Fat Manifolds:; Basic Definitions; The Lie Algebra of Der-operators; Fat Vector Fields; Fat Fields and Vector Fields on the Total Space; Induced Der-operators; Fat Trajectories; Inner Structures; Linear Connections:; Basic Definitions and Examples; Parallel Translation; Curvature; Operations with Linear Connections; Linear Connections and Inner Structures; Covariant Differential:; Fat de Rham Complexes; Covariant Differential; Compatible Linear Connections; Linear Connections Along Fat Maps; Covariant Lie Derivative; Gauge/Fat Structures and Linear Connections; Cohomological Aspects of Linear Connections:; An Introductory Example; Cohomology of Flat Linear Connections; Maxwell's Equations; Homotopy Formula for Linear Connections; Characteristic Classes.  Free Download Michael Hutchinson, "Faster: The Obsession, Science and Luck Behind the World's Fastest Cyclists" English | ISBN: 1408837773 | 2015 | pages | AZW3 | 357 KB For professional cyclists, going faster and winning are, of course, closely related. Yet surprisingly, for many, a desire to go faster is much more important than a desire to win. Someone who wants to go faster will work at the details and take small steps rather than focusing on winning. Winning just happens when you do everything right - it's the doing everything right that's hard. And that's what fascinates and obsesses Michael Hutchinson.  Free Download Martin W. Bowman - Fast Jet Fighters 1948-1978 Airlife Publishing | 2001 | ISBN: 1840371633 | English | 116 pages | PDF | 120.81 MB In many ways, the years covered by Martin Bowman's book were glory years for military fighters. Dozens of innovative, pioneering and downright awesome designs were put into service in air forces around the world. Then too those 'fast movers' were painted in colorful, exciting paint schemes, the like of which we will never see again. FAST JET FIGHTERS, 1948-1978 is a marvelous photographic tribute to those long-ago fighter aircraft.  Free Download Angus Patterson - Fashion and Armour in Rennaissance Europe V&A Publishing | 2009 | ISBN: 1851775811 | English | 120 pages | PDF | 107.87 MB Of all the riches of the sixteenth-century European nobleman, none spoke more powerfully of his heroism, wealth, and taste than his armor, clothing, and weapons. Drawing on the Victoria and Albert Museum's popular arms and armor collection―which includes the armor of such notables as Henry IV of France and Philip III of Spain-Angus Patterson looks at the suits designed to kill, protect, and impress.
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