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From the Preface (1955): The first part of the present exposition is devoted to the theory of Toeplitz forms. The second part deals with applications, in particular to the calculus of probability and mathematical statistics. Neither part claims completeness in any way. Our purpose has been to elucidate the principal ideas of this remarkable chapter of modern analysis and to help the interested student of mathematical statistics to acquire a working knowledge of the subject. The somewhat protracted Chapter 1 explains not only the notation employed but contains also the definition of important auxiliary concepts and the exposition of basic results which will be used later. This arrangement avoids interruptions in the main text ... [It is assumed] that the reader is in possession of the fundamental facts of the theory of functions. ''In chapters 2 and 3 certain topics appear which were treated in the book on orthogonal polynomials by G. Szego. In view of the progress made in this subject since the publication of that book (1939) it was possible to bring some details in an improved setting. The other chapters contain partly old and partly more recent results, some older facts in a new setting, and finally some completely new results. Chapter 1-6 and Chapter 9 have been prepared by Szego, the other chapters by Grenander ... ''
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William Hickey
reviewed Toeplitz Forms and Their Applications on September 09, 2018 Toeplitz Forms and Their Applications
This book is the classic of convex analysis and optimization theory. The intimate relationship of convex function and convex set clear many of my doubts. The book introduces conjugate function and dualities, which balances the geometric intuition and mathematical rigorous. Hence the book gives a natural introduction of subgradients. The last two chapters are aiming at the theoretical analysis of the optimization problems. This book serves greatly to those who are interested in the optimization theory since there fair amount of introduction.
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Add Toeplitz Forms and Their Applications, From the Preface (1955): The first part of the present exposition is devoted to the theory of Toeplitz forms. The second part deals with applications, in particular to the calculus of probability and mathematical statistics. Neither part claims completene, Toeplitz Forms and Their Applications to the inventory that you are selling on WonderClubX
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Add Toeplitz Forms and Their Applications, From the Preface (1955): The first part of the present exposition is devoted to the theory of Toeplitz forms. The second part deals with applications, in particular to the calculus of probability and mathematical statistics. Neither part claims completene, Toeplitz Forms and Their Applications to your collection on WonderClub |
