Mathematical Physics

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By Michael T. Vaughn

A accomplished survey of the entire mathematical tools that are supposed to be on hand to graduate scholars in physics. as well as the standard issues of research, akin to countless sequence, capabilities of a posh variable and a few differential equations in addition to linear vector areas, this ebook encompasses a extra broad dialogue of staff conception than are available in different present textbooks. the most characteristic of this textbook is its wide therapy of geometrical equipment as utilized to physics. With its advent of differentiable manifolds and a dialogue of vectors and varieties on such manifolds as a part of a first-year graduate path in mathematical equipment, the textual content permits scholars to know at an early level the modern literature on dynamical platforms, solitons and similar topological suggestions to box equations, gauge theories, gravitational idea, or even string thought.
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