The choice of topics included in this book, as well as the presentation of those topics, has been guided by the author's experience in teaching this material to classes consisting of advanced graduate students who are not concentrating in mathematics. This book contains an introduction to the modern theory of integration with a strong emphasis on the case of Lebesgue's measure for (Rn and eye toward applications to real analysis and probability theory. Following a brief review of the classical Riemann theory in Chapter I, the details of Lebesgue's construction are given in Chapter Ii, which also contains a derivation of the transformation properties of Lebesgue's measure under linear maps. Chapter Iii is devoted to Lebesgue's theory of integration of real-valued functions on a general measure space. Besides the basic convergence theorems, this chapter introduces product measures and Fubini's Theorem. In Chapter Iv, various topics having to do with the transformation properties of measures are derived. These include: the representation of general integrals in terms of Riemann integrals with respect to the distribution function, polar coordinates, Jacobi's transformation formula and finally the introduction of surface measure followed by a proof of the Divergence Theorem. A few of the basic inequalitites of measure theory are derived in Chapter V. In particular, the inequalities of Jensen, Minkowski and H�Lder are presented. Finally, Chapter Vi starts with the Daniell integral and its applications to the Carath�Odory Extension and Riesz Representation Theorems. It closes with Von Neumann's derivation of the Radon-Nikodym Theorem.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Descrizione libreria

Better World Books (https://www.BetterWorldBooks.com) is a for-profit, socially conscious business and a global online bookseller that collects and sells new and used books online, matching each purchase with a book donation. Each sale generates funds for literacy and education initiatives in the U.S., the UK, and around the world. Since its launch in 2003, Better World Books has raised $33 million for libraries and literacy, donated over 32 million books, and reused or recycled more than 397 million books.

Visita la pagina della libreria

Informazioni sull?azienda del venditore

Better World Books Marketplace, Inc.
55740 Currant Road, Mishawaka, IN, 46545, U.S.A.

Condizioni di vendita e spedizione

Condizioni di vendita

Better World Books (BWB) values your satisfaction and offers you returns within thirty (30) days after the estimated delivery date on most items. All returned items must be in the original condition; used items should include the SKU sticker located on the spine or back of the product.

If you have an incomplete, incorrect, or damaged shipment, please contact our Customer Care team via Abebooks contact seller options before proceeding with the return.Please keep in mind that because we deal mostl...

Ulteriori informazioni

Diritto di recesso

Condizioni di spedizione

Please allow 1-2 business days for order fulfillment.

Tariffe di spedizione da U.S.A. a Italia

Tariffe di spedizione da U.S.A. a Italia
Quantit� dell?ordine	Da 7 a 21 giorni lavorativi	Da 7 a 21 giorni lavorativi
Primo articolo	EUR 16.74	EUR 16.74

I tempi di consegna sono stabiliti dai venditori e variano in base al corriere e al paese. Gli ordini che devono attraversare una dogana possono subire ritardi e spetta agli acquirenti pagare eventuali tariffe o dazi associati. I venditori possono contattarti in merito ad addebiti aggiuntivi dovuti a eventuali maggiorazioni dei costi di spedizione dei tuoi articoli.