Plane Algebraic Curves: Translated by John Stillwell by Egbert Brieskorn (Englis

Description: Plane Algebraic Curves by Egbert Brieskorn, Horst Knörrer, John Stillwell In a detailed and comprehensive introduction to the theory of plane algebraic curves, the authors examine this classical area of mathematics that both figured prominently in ancient Greek studies and remains a source of inspiration and a topic of research to this day. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description In a detailed and comprehensive introduction to the theory of plane algebraic curves, the authors examine this classical area of mathematics that both figured prominently in ancient Greek studies and remains a source of inspiration and a topic of research to this day. Arising from notes for a course given at the University of Bonn in Germany, "Plane Algebraic Curves" reflects the authors concern for the student audience through its emphasis on motivation, development of imagination, and understanding of basic ideas. As classical objects, curves may be viewed from many angles. This text also provides a foundation for the comprehension and exploration of modern work on singularities. --- In the first chapter one finds many special curves with very attractive geometric presentations the wealth of illustrations is a distinctive characteristic of this book and an introduction to projective geometry (over the complex numbers). In the second chapter one finds a very simple proof of Bezouts theorem and a detailed discussion of cubics. The heart of this book and how else could it be with the first author is the chapter on the resolution of singularities (always over the complex numbers). (…) Especially remarkable is the outlook to further work on the topics discussed, with numerous references to the literature. Many examples round off this successful representation of a classical and yet still very much alive subject. (Mathematical Reviews) Notes Lively introduction and overview of the fieldAnchors the subject in history, science and technologyClearly explains the tools from local analytic geometry and from algebraic and differential topologyPresents a wealth of attractive geometric illustrations ¿ Back Cover In a detailed and comprehensive introduction to the theory of plane algebraic curves, the authors examine this classical area of mathematics that both figured prominently in ancient Greek studies and remains a source of inspiration and topic of research to this day. Arising from notes for a course given at the University of Bonn in Germany, "Plane Algebraic Curves" reflects the authors concern for the student audience through emphasis upon motivation, development of imagination, and understanding of basic ideas. As classical objects, curves may be viewed from many angles; this text provides a foundation for the comprehension and exploration of modern work on singularities. --- In the first chapter one finds many special curves with very attractive geometric presentations - the wealth of illustrations is a distinctive characteristic of this book - and an introduction to projective geometry (over the complex numbers). In the second chapter one finds a very simple proof of Bezouts theorem and a detailed discussion of cubics. The heart of this book - and how else could it be with the first author - is the chapter on the resolution of singularities (always over the complex numbers). (...) Especially remarkable is the outlook to further work on the topics discussed, with numerous references to the literature. Many examples round off this successful representation of a classical and yet still very much alive subject. (Mathematical Reviews) Author Biography Egbert Brieskorn was a Professor of Mathematics at the University of Bonn, Germany. Horst Knorrer is a Professor of Mathematics at the ETH Zurich, Switzerland. Table of Contents I. History of algebraic curves.- 1. Origin and generation of curves.- 2. Synthetic and analytic geometry.- 3. The development of projective geometry.- II. Investigation of curves by elementary algebraic methods.- 4. Polynomials.- 5. Definition and elementary properties of plane algebraic curves.- 6. The intersection of plane curves.- 7. Some simple types of curves.- III. Investigation of curves by resolution of singularities.- 8. Local investigations.- 9. Global investigations.- Bibliography.- Index. Review "It provides a comprehensive overview for all who are interested in GO with an emphasis on theory and algorithms." (W. Huyer, Monatshefte fÜr Mathematik, 2015)"This is a masterly expositional work in which the conversational style of narrative never leaves the reader in doubt about the direction of enquiry. … the richness of this publication really resides in the fascinating range of mathematical ideas that support its main line of enquiry. … it can be read selectively at so many different levels up to the postgraduate stage." (PeterRuane,The Mathematical Association of America, January, 2013) Review Quote From the reviews:This is a masterly expositional work in which the conversational style of narrative never leaves the reader in doubt about the direction of enquiry. … the richness of this publication really resides in the fascinating range of mathematical ideas that support its main line of enquiry. … it can be read selectively at so many different levels up to the postgraduate stage. (PeterRuane,The Mathematical Association of America, January, 2013) Feature Lively introduction and overview of the field Anchors the subject in history, science and technology Clearly explains the tools from local analytic geometry and from algebraic and differential topology Presents a wealth of attractive geometric illustrations Details ISBN303480492X Author John Stillwell Short Title PLANE ALGEBRAIC CURVES 2012/E Language English ISBN-10 303480492X ISBN-13 9783034804929 Media Book Format Paperback Translator John Stillwell Subtitle Translated by John Stillwell Year 2012 Publication Date 2012-08-26 Country of Publication Switzerland DEWEY 516.352 Pages 721 Edition 2012th DOI 10.1007/978-3-0348-0493-6 UK Release Date 2012-08-26 Imprint Birkhauser Verlag AG Place of Publication Basel Publisher Birkhauser Verlag AG Edition Description 2012 ed. Series Modern Birkhauser Classics Illustrations 301 Illustrations, black and white; X, 721 p. 301 illus. Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96244029;

Price: 232.47 AUD

Location: Melbourne

End Time: 2025-01-06T20:28:38.000Z

Shipping Cost: 17.35 AUD