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-Douglas Kearney's innovative new collection makes me tremble like a 'mouth and mind full of fish hooks.' . . . These poems literally vibrate with Kearney's precocious intellect and passion. They hum, they bang, they bite. What else can I say? I have never encountered poetry like this before.---Terrance Hayes

This book investigates how domain dependent quantities from geometry and physics behave when the domain is perturbed. Of particular interest are volume- and perimeter-preserving perturbations. The first and second derivatives with respect to the perturbation are exploited for domain functionals like eigenvalues, energies and geometrical quantities. They provide necessary conditions for optimal domains and are useful when global approaches like symmetrizations fail. The book is exampledriven and illustrates the usefulness of domain variations in various applications.