Extension Theory

Author : Hermann Günther Grassmann
Publisher : American Mathematical Soc.
ISBN 13 : 9780821890493
Total Pages : 440 pages
Book Rating : 4.92/5 ( download)

DOWNLOAD NOW!

Download or read book Ausdehnungslehre written by Hermann Günther Grassmann and published by American Mathematical Soc.. This book was released on with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Ausdehnungslehre of 1862 is Grassmann's most mature presentation of his "extension theory". The work was unique in capturing the full sweep of his mathematical achievements. Compared with Grassmann's first book, Lineale Ausdehnungslehre, this book contains an enormous amount of new material, including a detailed development of the inner product and its relation to the concept of angle, the "theory of functions" from the point of view of extension theory, and Grassmann's contribution to the Pfaff problem. In many ways, this book is the version of Grassmann's system most accessible to contemporary readers. This translation is based on the material in Grassmann's "Gesammelte Werke", published by B. G. Teubner (Stuttgart and Leipzig, Germany). It includes nearly all the Editorial Notes from that edition, but the "improved" proofs are relocated, and Grassmann's original proofs are restored to their proper places. The original Editorial Notes are augmented by Supplementary Notes, elucidating Grassmann's achievement in modern terms. This is the third in an informal sequence of works to be included within the History of Mathematics series, co-published by the AMS and the London Mathematical Society. Volumes in this subset are classical mathematical works that served as cornerstones for modern mathematical thought.

Author : Helmut Koch
Publisher : Springer Science & Business Media
ISBN 13 : 3662049678
Total Pages : 196 pages
Book Rating : 4.79/5 ( download)

DOWNLOAD NOW!

Download or read book Galois Theory of p-Extensions written by Helmut Koch and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Helmut Koch's classic is now available in English. Competently translated by Franz Lemmermeyer, it introduces the theory of pro-p groups and their cohomology. The book contains a postscript on the recent development of the field written by H. Koch and F. Lemmermeyer, along with many additional recent references.

Author : Julio R. Bastida
Publisher : Cambridge University Press
ISBN 13 : 9780521302425
Total Pages : 354 pages
Book Rating : 4.20/5 ( download)

DOWNLOAD NOW!

Download or read book Field Extensions and Galois Theory written by Julio R. Bastida and published by Cambridge University Press. This book was released on 1984-12-28 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 1984 book aims to make the general theory of field extensions accessible to any reader with a modest background in groups, rings and vector spaces. Galois theory is regarded amongst the central and most beautiful parts of algebra and its creation marked the culmination of generations of investigation.

Author : University of Missouri
Publisher :
ISBN 13 :
Total Pages : 574 pages
Book Rating : 4.91/5 ( download)

DOWNLOAD NOW!

Download or read book Extension Series written by University of Missouri and published by . This book was released on 1923 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Hermann Grassmann
Publisher : American Mathematical Soc.
ISBN 13 : 0821820311
Total Pages : 431 pages
Book Rating : 4.15/5 ( download)

DOWNLOAD NOW!

Download or read book Ausdehnungslehre written by Hermann Grassmann and published by American Mathematical Soc.. This book was released on 2000 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Ausdehnungslehre of 1862 is Grassmann's most mature presentation of his "extension theory". The work was unique in capturing the full sweep of his mathematical achievements. Compared with Grassmann's first book, Lineale Ausdehnungslehre, this book contains an enormous amount of new material, including a detailed development of the inner product and its relation to the concept of angle, the "theory of functions" from the point of view of extension theory, and Grassmann's contribution to the Pfaff problem. In many ways, this book is the version of Grassmann's system most accessible to contemporary readers. This translation is based on the material in Grassmann's "Gesammelte Werke", published by B. G. Teubner (Stuttgart and Leipzig, Germany). It includes nearly all the Editorial Notes from that edition, but the "improved" proofs are relocated, and Grassmann's original proofs are restored to their proper places. The original Editorial Notes are augmented by Supplementary Notes, elucidating Grassmann's achievement in modern terms. This is the third in an informal sequence of works to be included within the History of Mathematics series, co-published by the AMS and the London Mathematical Society. Volumes in this subset are classical mathematical works that served as cornerstones for modern mathematical thought.

Author : Eduardo J. Dubuc
Publisher : Springer
ISBN 13 : 3540363076
Total Pages : 190 pages
Book Rating : 4.71/5 ( download)

DOWNLOAD NOW!

Download or read book Kan Extensions in Enriched Category Theory written by Eduardo J. Dubuc and published by Springer. This book was released on 2006-11-15 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: The original purpose of this paper was to provide suitable enriched completions of small enriched categories.

Author : Earl A. Coddington
Publisher : American Mathematical Soc.
ISBN 13 : 0821818341
Total Pages : 87 pages
Book Rating : 4.43/5 ( download)

DOWNLOAD NOW!

Download or read book Extension Theory of Formally Normal and Symmetric Subspaces written by Earl A. Coddington and published by American Mathematical Soc.. This book was released on 1973 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let [italic]H be a Hilbert space. Formally normal, normal, symmetric, selfadjoint, and semibounded subspaces of [italic]H2=[italic]H2[circled plus][italic]H are defined by means of the corresponding properties of the graphs of operators in H which are formally normal, normal, symmetric, selfadjoint, or semibounded, respectively. The author gives a complete description of all formally normal and normal subspace extensions in [italic]H2 of a given formally normal subspace [italic]N of [italic]H2. Those extensions which are graphs of operators are explicitly characterized. The symmetric and selfadjoint extensions of a given symmetric subspace are also classified; this result extends the well-known result of von Neumann characterizing the selfadjoint extensions of a (densely defined) symmetric operator. The construction of the "Friedrichs extension'' of a semibounded symmetric subspace is outlined. The existence of formally normal and symmetric extensions in a larger Hilbert space is also studied. A formally normal subspace need not have any normal subspace extension in a bigger subspace. But (as is known for operators), every symmetric subspace has selfadjoint extensions in suitable larger spaces; these extensions are completely characterized.

Author : Aref Jeribi
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110596903
Total Pages : 256 pages
Book Rating : 4.08/5 ( download)

DOWNLOAD NOW!

Download or read book Operator Theory written by Aref Jeribi and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-03-22 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Author : Paul R. Halmos
Publisher : Springer
ISBN 13 : 1468494406
Total Pages : 313 pages
Book Rating : 4.02/5 ( download)

DOWNLOAD NOW!

Download or read book Measure Theory written by Paul R. Halmos and published by Springer. This book was released on 2013-12-19 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Useful as a text for students and a reference for the more advanced mathematician, this book presents a unified treatment of that part of measure theory most useful for its application in modern analysis. Coverage includes sets and classes, measures and outer measures, Haar measure and measure and topology in groups. From the reviews: "Will serve the interested student to find his way to active and creative work in the field of Hilbert space theory." --MATHEMATICAL REVIEWS

Author : Wilfrid Hodges
Publisher : Cambridge University Press
ISBN 13 : 9780521587136
Total Pages : 322 pages
Book Rating : 4.31/5 ( download)

DOWNLOAD NOW!

Download or read book A Shorter Model Theory written by Wilfrid Hodges and published by Cambridge University Press. This book was released on 1997-04-10 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an up-to-date textbook of model theory taking the reader from first definitions to Morley's theorem and the elementary parts of stability theory. Besides standard results such as the compactness and omitting types theorems, it also describes various links with algebra, including the Skolem-Tarski method of quantifier elimination, model completeness, automorphism groups and omega-categoricity, ultraproducts, O-minimality and structures of finite Morley rank. The material on back-and-forth equivalences, interpretations and zero-one laws can serve as an introduction to applications of model theory in computer science. Each chapter finishes with a brief commentary on the literature and suggestions for further reading. This book will benefit graduate students with an interest in model theory.