Product Description: Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen...read more

Product Description: 1952 Memoirs of the American Mathematical Society Number 11 : pages 1-82. Printed wraps, minor signs of use and age, text in very good condition

This book, the first printing of which was published as volume 38 of the Encyclopaedia of Mathematical Sciences, presents a modern approach to homological algebra, based on the systematic use of the terminology and ideas of derived categories and derived functors. The book contains applications of homological algebra to the theory of sheaves on topological spaces, to Hodge theory, and to the theory of modules over rings of algebraic differential operators (algebraic D-modules). The authors Gelfand and Manin explain all the main ideas of the theory of derived categories. Both authors are well-known researchers and the second, Manin, is famous for his work in algebraic geometry and mathematical physics. The book is an excellent reference for graduate students and researchers in mathematics and also for physicists who use methods from algebraic geometry and algebraic topology.

Product Description: Alexandroff's beautiful and elegant introduction to topology was originally published in 1932 as an extension of certain aspects of Hilbert's Anschauliche Geometrie. The text has long been recognized as one of the finest presentations of the fundamental concepts, vital for mathematicians who haven't time for extensive study and for beginning investigators...read more

Product Description: Written and revised by D. B. A. Epstein.

Product Description: THE main purpose of writing this monograph is to give a picture of the progress made in recent years in understanding three of the deepest results of Functional Analysis-namely, the open-mapping and closed­ graph theorems, and the so-called Krein-~mulian theorem...read more

Thepresent book is based on lectures given by theauthor at the University ofTokyo during the past ten years. It is intended as a textbooktobestudiedbystudents ontheirownortobeusedinacourse on Functional Analysis, i. e. , the generaltheory of linear operators in function spaces together with salient features of its application to diverse fields of modern and classical analysis. Necessaryprerequisitesforthereadingofthisbookaresummarized, with or without proof, in Chapter 0 under titles: Set Theory,Topo­ logical Spaces,MeasureSpacesand Linear Spaces. Then,startingwith the chapter on Semi-norms, a general theory of Banach and Hilbert spacesispresentedinconnectionwiththetheoryofgeneralizedfunctions ofS. L. SOBOLEVandL. SCHWARTZ. Whilethebookisprimarilyaddressed tograduatestudents,itishopedit mightproveusefultoresearchmathe­ maticians, both pure and applied. The reader may pass e. g. from ChapterIX(AnalyticalTheoryofSemi-groups)directlytoChapterXIII (ErgodicTheoryandDiffusionTheory)andtoChapterXIV(Integration of the Equation of Evolution). Such materials as "Weak Topologies and Duality in Locally Convex Spaces" and "Nuclear Spaces" are presented inthe form of theappendices to ChapterVand ChapterX, respectively. These mightbeskipped forthefirst readingbythosewho areinterestedratherintheapplicationoflinearoperators. In the preparation of the present book, the author has received valuable advice and criticism from many friends. Especially, Mrs, K. HILLEhaskindlyreadthroughthemanuscript aswellasthegalley and page proofs. Without her painstaking help, this book could not have been printed in the present style in the language which was not spoken to the author in the cradle. The author owes very much to his old friends, Professor E. HILLE and Professor S. KAKUTANI of YaleUniversityandProfessorR. S. PHILLIPSofStanfordUniversityfor thechanceto stay in their universities in 1962, which enabled him to polishthegreaterpartofthemanuscript ofthisbook,availing himself of their valuable advice. Professor S. ITOand Dr. H.

Product Description: Book by Massey, W. S., Peterson, F.P.