{"product_id":"9780080525600","title":"Geometric Measure Theory: A Beginner's Guide","description":"Geometric measure theory has become increasingly essential to geometry as well as numerous and varied physical applications. The third edition of this leading text\/reference introduces the theory, the framework for the study of crystal growth, clusters of soap bubbles, and similar structures involving minimization of energy. \u003cbr\u003e\u003cbr\u003eOver the past thirty years, this theory has contributed to major advances in geometry and analysis including, for example, the original proof of the positive mass conjecture in cosmology.\u003cbr\u003e\u003cbr\u003eThis third edition of \u003cb\u003eGeometric Measure Theory: A Beginner's Guide\u003c\/b\u003e presents, for the first time in print, the proofs of the double bubble and the hexagonal honeycomb conjectures. Four new chapters lead the reader through treatments of the Weaire-Phelan counterexample of Kelvin's conjecture, Almgren's optimal isoperimetric inequality, and immiscible fluids and crystals. The abundant illustrations, examples, exercises, and solutions in this book will enhance its reputation as the most accessible introduction to the subject.","brand":"Elsevier Science","offers":[{"title":"Default Title","offer_id":47077288968432,"sku":"9780080525600","price":116.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9780080525600_p0.jpg?v=1763637449","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9780080525600","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}