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The marriage of analytic power to geometric intuition drives many of today's mathematical advances, yet books that build the connection from an elementary level remain scarce. This engaging introduction to geometric measure theory bridges analysis and geometry, taking readers from basic theory to some of the most celebrated results in modern analysis. The theory of sets of finite perimeter provides a simple and effective framework. Topics covered include existence, regularity, analysis of singularities, characterization and symmetry results for minimizers in geometric variational problems, starting from the basics about Hausdorff measures in Euclidean spaces and ending with complete proofs of the regularity of area-minimizing hypersurfaces up to singular sets of codimension 8. Explanatory pictures, detailed proofs, exercises and remarks providing heuristic motivation and summarizing
Produkt Sets of Finite Perimeter and Geometric Variational Problems (Maggi Francesco)(Pevná vazba) popisuje EAN kód 9781107021037.
Kategorie | Knihy |
EAN | 9781107021037 |
The marriage of analytic power to geometric intuition drives many of today's mathematical advances, yet books that build the connection from an elementary level remain scarce. This engaging introduction to geometric measure theory bridges analysis and geometry, taking readers from basic theory to
Finite element analysis has been widely applied to study biomedical problems. This book aims to simulate some common medical problems using finite element advanced technologies, which establish a base for medical researchers to conduct further investigations. This book consists of four main parts:
Coherent treatment provides comprehensive view of basic methods and results of the combinatorial study of finite set systems. The Clements-Lindstrom extension of the Kruskal-Katona theorem to multisets is explored, as is the Greene-Kleitman result concerning k-saturated chain partitions of general
Maggy confronts a number of mysterious deaths and has an important decision to make about her future with Sheriff Jake Pavlik in the new Maggy Thorsen coffeehouse mystery. The choice of an antique silver coffee urn as the final resting place for elderly Celeste Bouchard's ashes might seem a cruel
Francesca Bonadonna, of Plantifully Based, delivers a fresh and creative approach to vegan cooking in her new book, Plantiful: Over 75 Vibrant Vegan Comfort Foods. With an emphasis on comfort, quality, and taste, she draws upon her Italian American heritage to bring familiar flavors and delectable
Introduction.- Definitions and Mathematical Models of Single Vehicle Routing.- Definitions and Mathematical Models of OP Variants.- State-of-the-Art Solution Techniques for PTP and PCTSP.- State-of-the-Art Solution Techniques for OP and TOP.- State-of-the-Art Solution Techniques for OPTW and
Francesco Filelfo's philosophical dialogue On Exile (ca. 1440) depicts a prominent group of Florentine noblemen and humanists, driven from their city by Cosimo de' Medici, discussing the sufferings imposed by exile such as poverty and loss of reputation, and the best way to endure and even profit
Widely considered the central figure of fifteenth-century painting, Piero della Francesca is also the most modern of all Renaissance painters. To our post-Cubist eyes, Piero's most famous work, his fresco cycle 'The Legend of the True Cross' at Arezzo in Tuscany, conjures nothing so much as C
A groundbreaking new synthesis and theory of social institutions Understanding Institutions proposes a new unified theory of social institutions that combines the best insights of philosophers and social scientists who have written on this topic. Francesco Guala presents a theory that combines the
A multitude of photographs and architectural drawings illustrate the rehabilitation process of over 30 projects, from concept to construction. Text in English, German and
The book contains a general approach to the techniques that provides rationale and ranges of utilization to assist the reader in understanding the nuances that exist in basic surgical stepsThe chapters give descriptions of specific skills for a practical application in specific situations and
The American photographer Francesca Woodman (1958-1981) spent a brief portion of her childhood in the countryside around Florence, living with her parents in an old farm whose dilapidated interiors were later to influence the backdrops of her mesmerizing self-portraits. In 1977 she returned to
This book presents a collection of problems in spin wave excitations with their detailed solutions. Each chapter briefly introduces the important concepts, encouraging the reader to further explore the physics of spin wave excitations and the engineering of spin wave devices by working through the
Presents beautiful results, intriguing problems, and ingenious solutions. The problems range from elementary gems to deep truths. A truly delightful and highly instructive book, this will prepare the engaged reader not only for any mathematics competition they may enter but also for a lifetime of
Francesco Petrarca (1304-1374), one of the greatest of Italian poets, was also the leading spirit in the Renaissance movement to revive ancient Roman language and literature. Just as Petrarch's Latin epic Africa imitated Virgil and his compendium On Illustrious Men was inspired by Livy, so
Islamic geometric designs are admired worldwide for their beauty and marvelous intricacy, yet they are seldom understood. In this handsomely illustrated volume, Eric Broug analyzes and explains these complex designs in their historical and physical context. Broug shows how, over the centuries,
The fictional autobiography of a rumbustious adventurer and poker-player who sets off his native Chicago in the spirit of a latter-day Columbus to rediscover the world-and more especially, twentieth-century
The authors give a unified treatment of nonlinear solid mechanics, dynamic conservation laws, and the associated finite element techniques, alongside exercises, examples, and working code, to provide a self-contained introduction to the dynamic simulation of nonlinear solids suitable for beginning
The fouling of heat exchangers, reactors and catalysts remains one of the most urgent problems facing the process industries. Over the past ten years there has been limited research and investigation into the underlying mechanisms which give rise to this problem. For convenience, particularly in
Skepticism is one of the most enduring and profound of philosophical problems. With its roots in Plato and the Sceptics to Descartes, Hume, Kant and Wittgenstein, skepticism presents a challenge that every philosopher must reckon with. In this outstanding collection philosophers engage with
In this generously illustrated and lively book, Christopher Lloyd sets out and interprets the lifelong achievement of Picasso (1881-1973) as a draftsman. Although there have been many publications about his drawings that have tended to focus on particular periods of his career, this stunning volume
Problems - of integration, failed political participation, and requests for various kinds of accommodation - seem to dominate the research on minority Muslims in Western nations. Beyond Accommodation offers a different perspective, showing how Muslim Canadians successfully navigate and negotiate