Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Characteristic Classes PDF full book. Access full book title Characteristic Classes by John Willard Milnor. Download full books in PDF and EPUB format.
Author: John Willard Milnor Publisher: Princeton University Press ISBN: 9780691081229 Category : Mathematics Languages : en Pages : 342
Book Description
The theory of characteristic classes provides a meeting ground for the various disciplines of differential topology, differential and algebraic geometry, cohomology, and fiber bundle theory. As such, it is a fundamental and an essential tool in the study of differentiable manifolds. In this volume, the authors provide a thorough introduction to characteristic classes, with detailed studies of Stiefel-Whitney classes, Chern classes, Pontrjagin classes, and the Euler class. Three appendices cover the basics of cohomology theory and the differential forms approach to characteristic classes, and provide an account of Bernoulli numbers. Based on lecture notes of John Milnor, which first appeared at Princeton University in 1957 and have been widely studied by graduate students of topology ever since, this published version has been completely revised and corrected.
Author: John Willard Milnor Publisher: Princeton University Press ISBN: 9780691081229 Category : Mathematics Languages : en Pages : 342
Book Description
The theory of characteristic classes provides a meeting ground for the various disciplines of differential topology, differential and algebraic geometry, cohomology, and fiber bundle theory. As such, it is a fundamental and an essential tool in the study of differentiable manifolds. In this volume, the authors provide a thorough introduction to characteristic classes, with detailed studies of Stiefel-Whitney classes, Chern classes, Pontrjagin classes, and the Euler class. Three appendices cover the basics of cohomology theory and the differential forms approach to characteristic classes, and provide an account of Bernoulli numbers. Based on lecture notes of John Milnor, which first appeared at Princeton University in 1957 and have been widely studied by graduate students of topology ever since, this published version has been completely revised and corrected.
Author: Dorland Publisher: Elsevier Health Sciences ISBN: 0323442544 Category : Medical Languages : en Pages : 481
Book Description
Medical acronyms and abbreviations offer convenience, but those countless shortcuts can often be confusing. Now a part of the popular Dorland's suite of products, this reference features thousands of terms from across various medical specialties. Its alphabetical arrangement makes for quick reference, and expanded coverage of symbols ensures they are easier to find. Effective communication plays an important role in all medical settings, so turn to this trusted volume for nearly any medical abbreviation you might encounter. - Symbols section makes it easier to locate unusual or seldom-used symbols. - Convenient alphabetical format allows you to find the entry you need more intuitively. - More than 90,000 entries and definitions. - Many new and updated entries including terminology in expanding specialties, such as Nursing; Physical, Occupational, and Speech Therapies; Transcription and Coding; Computer and Technical Fields. - New section on abbreviations to avoid, including Joint Commission abbreviations that are not to be used. - Incorporates updates suggested by the Institute for Safe Medication Practices (ISMP).
Author: Gregory Bateson Publisher: University of Chicago Press ISBN: 9780226039053 Category : Medical Languages : en Pages : 572
Book Description
Gregory Bateson was a philosopher, anthropologist, photographer, naturalist, and poet, as well as the husband and collaborator of Margaret Mead. This classic anthology of his major work includes a new Foreword by his daughter, Mary Katherine Bateson. 5 line drawings.
Author: Richard S. Elman Publisher: American Mathematical Soc. ISBN: 9780821873229 Category : Mathematics Languages : en Pages : 456
Book Description
This book is a comprehensive study of the algebraic theory of quadratic forms, from classical theory to recent developments, including results and proofs that have never been published. The book is written from the viewpoint of algebraic geometry and includes the theory of quadratic forms over fields of characteristic two, with proofs that are characteristic independent whenever possible. For some results both classical and geometric proofs are given. Part I includes classical algebraic theory of quadratic and bilinear forms and answers many questions that have been raised in the early stages of the development of the theory. Assuming only a basic course in algebraic geometry, Part II presents the necessary additional topics from algebraic geometry including the theory of Chow groups, Chow motives, and Steenrod operations. These topics are used in Part III to develop a modern geometric theory of quadratic forms.
Author: Robert F. Tichy Publisher: Springer Science & Business Media ISBN: 3211742808 Category : Mathematics Languages : en Pages : 416
Book Description
This volume contains 21 research and survey papers on recent developments in the field of diophantine approximation, which are based on lectures given at a conference at the Erwin Schrödinger-Institute (Vienna, 2003). The articles are either in the spirit of more classical diophantine analysis or of a geometric or combinatorial flavor. Several articles deal with estimates for the number of solutions of diophantine equations as well as with congruences and polynomials.
Author: Stanley Jablonski Publisher: Hanley & Belfus ISBN: 9781560536512 Category : Medical Languages : en Pages :
Book Description
This dictionary lists acronyms and abbreviations occurring with a reasonable frequency in the literature of medicine and the health care professions. Abbreviations and acronyms are given in capital letters, with no punctuation, and with concise definitions. The beginning sections also include symbols, genetic symbols, and the Greek alphabet and symbols.
Author: Boyan Sirakov Publisher: World Scientific ISBN: 9813272899 Category : Mathematics Languages : en Pages : 5393
Book Description
The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.
Author: Pierre Colmez Publisher: American Mathematical Society, Société Mathématique de France ISBN: 1470469391 Category : Mathematics Languages : en Pages : 600
Book Description
The book is a bilingual (French and English) edition of the mathematical correspondence between A. Grothendieck and J-P. Serre. The original French text of 84 letters is supplemented here by the English translation, with French text printed on the left-hand pages and the corresponding English text printed on the right-hand pages. The book also includes several facsimiles of original letters. The letters presented in the book were mainly written between 1955 and 1965. During this period, algebraic geometry went through a remarkable transformation, and Grothendieck and Serre were among central figures in this process. The reader can follow the creation of some of the most important notions of modern mathematics, like sheaf cohomology, schemes, Riemann-Roch type theorems, algebraic fundamental group, motives. The letters also reflect the mathematical and political atmosphere of this period (Bourbaki, Paris, Harvard, Princeton, war in Algeria, etc.). Also included are a few letters written between 1984 and 1987. The letters are supplemented by J-P. Serre's notes, which give explanations, corrections, and references further results. The book should be useful to specialists in algebraic geometry, in history of mathematics, and to all mathematicians who want to understand how great mathematics is created.
Author: John Willard Milnor
Author: John Willard Milnor
Author: J. Edward Pope
Author: Dorland
Author: Gregory Bateson
Author: Charles F. Kutscher
Author: Richard S. Elman
Author: Robert F. Tichy
Author: Stanley Jablonski
Author: Boyan Sirakov
Author: Pierre Colmez