Develops the modern theory of symmetrization including applications to geometry, PDEs, and real and complex analysis.
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Albert Baernstein, II was Professor in the Department of Mathematics at Washington University, St Louis before his death in 2014. He gained international renown for innovative solutions to extremal problems in complex and harmonic analysis. His invention of the 'star function' method in the 1970s prompted an invitation to the International Congress of Mathematicians held in Helsinki in 1978, and during the 1980s and 90s he substantially extended the breadth and applications of this method.
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Destinations, frais et délaisVendeur : Prior Books Ltd, Cheltenham, Royaume-Uni
Hardcover. Etat : Like New. First Edition. A firm and square hardback with sharp corners and strong joints, just showing a few very minor cosmetic rubs. Hence a non-text page has a small 'damaged' stamp. Despite such this book is actually in nearly new condition and appears unread. Thus the contents are crisp, fresh and tight; no pen-marks. Now offered for sale at a very sensible price. N° de réf. du vendeur 209301
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Vendeur : moluna, Greven, Allemagne
Gebunden. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Über den AutorAlbert Baernstein, II was Professor in the Department of Mathematics at Washington University, St Louis before his death in 2014. He gained international renown for innovative solutions to extremal problems in complex . N° de réf. du vendeur 257176518
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Vendeur : Revaluation Books, Exeter, Royaume-Uni
Hardcover. Etat : Brand New. 473 pages. 9.00x6.00x1.25 inches. In Stock. N° de réf. du vendeur __0521830478
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Vendeur : CitiRetail, Stevenage, Royaume-Uni
Hardcover. Etat : new. Hardcover. Symmetrization is a rich area of mathematical analysis whose history reaches back to antiquity. This book presents many aspects of the theory, including symmetric decreasing rearrangement and circular and Steiner symmetrization in Euclidean spaces, spheres and hyperbolic spaces. Many energies, frequencies, capacities, eigenvalues, perimeters and function norms are shown to either decrease or increase under symmetrization. The book begins by focusing on Euclidean space, building up from two-point polarization with respect to hyperplanes. Background material in geometric measure theory and analysis is carefully developed, yielding self-contained proofs of all the major theorems. This leads to the analysis of functions defined on spheres and hyperbolic spaces, and then to convolutions, multiple integrals and hypercontractivity of the Poisson semigroup. The author's 'star function' method, which preserves subharmonicity, is developed with applications to semilinear PDEs. The book concludes with a thorough self-contained account of the star function's role in complex analysis, covering value distribution theory, conformal mapping and the hyperbolic metric. Many extremal problems in mathematics and physics have symmetric solutions whose analytic and geometric properties often have elegant formulations. This book develops and applies symmetrization techniques in geometry, PDEs, and real and complex analysis. It will be a valuable reference, with self-contained treatments of all the major theorems. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. N° de réf. du vendeur 9780521830478
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Vendeur : AussieBookSeller, Truganina, VIC, Australie
Hardcover. Etat : new. Hardcover. Symmetrization is a rich area of mathematical analysis whose history reaches back to antiquity. This book presents many aspects of the theory, including symmetric decreasing rearrangement and circular and Steiner symmetrization in Euclidean spaces, spheres and hyperbolic spaces. Many energies, frequencies, capacities, eigenvalues, perimeters and function norms are shown to either decrease or increase under symmetrization. The book begins by focusing on Euclidean space, building up from two-point polarization with respect to hyperplanes. Background material in geometric measure theory and analysis is carefully developed, yielding self-contained proofs of all the major theorems. This leads to the analysis of functions defined on spheres and hyperbolic spaces, and then to convolutions, multiple integrals and hypercontractivity of the Poisson semigroup. The author's 'star function' method, which preserves subharmonicity, is developed with applications to semilinear PDEs. The book concludes with a thorough self-contained account of the star function's role in complex analysis, covering value distribution theory, conformal mapping and the hyperbolic metric. Many extremal problems in mathematics and physics have symmetric solutions whose analytic and geometric properties often have elegant formulations. This book develops and applies symmetrization techniques in geometry, PDEs, and real and complex analysis. It will be a valuable reference, with self-contained treatments of all the major theorems. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. N° de réf. du vendeur 9780521830478
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