3264 and All That

A Second Course in Algebraic Geometry

Nonfiction, Science & Nature, Mathematics, Topology, Science
Cover of the book 3264 and All That by David Eisenbud, Joe Harris, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: David Eisenbud, Joe Harris ISBN: 9781316678879
Publisher: Cambridge University Press Publication: April 14, 2016
Imprint: Cambridge University Press Language: English
Author: David Eisenbud, Joe Harris
ISBN: 9781316678879
Publisher: Cambridge University Press
Publication: April 14, 2016
Imprint: Cambridge University Press
Language: English

This book can form the basis of a second course in algebraic geometry. As motivation, it takes concrete questions from enumerative geometry and intersection theory, and provides intuition and technique, so that the student develops the ability to solve geometric problems. The authors explain key ideas, including rational equivalence, Chow rings, Schubert calculus and Chern classes, and readers will appreciate the abundant examples, many provided as exercises with solutions available online. Intersection is concerned with the enumeration of solutions of systems of polynomial equations in several variables. It has been an active area of mathematics since the work of Leibniz. Chasles' nineteenth-century calculation that there are 3264 smooth conic plane curves tangent to five given general conics was an important landmark, and was the inspiration behind the title of this book. Such computations were motivation for Poincaré's development of topology, and for many subsequent theories, so that intersection theory is now a central topic of modern mathematics.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This book can form the basis of a second course in algebraic geometry. As motivation, it takes concrete questions from enumerative geometry and intersection theory, and provides intuition and technique, so that the student develops the ability to solve geometric problems. The authors explain key ideas, including rational equivalence, Chow rings, Schubert calculus and Chern classes, and readers will appreciate the abundant examples, many provided as exercises with solutions available online. Intersection is concerned with the enumeration of solutions of systems of polynomial equations in several variables. It has been an active area of mathematics since the work of Leibniz. Chasles' nineteenth-century calculation that there are 3264 smooth conic plane curves tangent to five given general conics was an important landmark, and was the inspiration behind the title of this book. Such computations were motivation for Poincaré's development of topology, and for many subsequent theories, so that intersection theory is now a central topic of modern mathematics.

More books from Cambridge University Press

Cover of the book Antisemitism and the American Far Left by David Eisenbud, Joe Harris
Cover of the book Market Justice by David Eisenbud, Joe Harris
Cover of the book Victory in the East by David Eisenbud, Joe Harris
Cover of the book A Guide to the Extrapyramidal Side-Effects of Antipsychotic Drugs by David Eisenbud, Joe Harris
Cover of the book Shakespeare and the Modern Poet by David Eisenbud, Joe Harris
Cover of the book String Theory Methods for Condensed Matter Physics by David Eisenbud, Joe Harris
Cover of the book Visions of Empire in the Nazi-Occupied Netherlands by David Eisenbud, Joe Harris
Cover of the book Politeness in East Asia by David Eisenbud, Joe Harris
Cover of the book An Economic History of Twentieth-Century Europe by David Eisenbud, Joe Harris
Cover of the book The Power and the People by David Eisenbud, Joe Harris
Cover of the book The Philosophy of Death by David Eisenbud, Joe Harris
Cover of the book The Cambridge Companion to British Literature of the French Revolution in the 1790s by David Eisenbud, Joe Harris
Cover of the book Sexual Liberation, Socialist Style by David Eisenbud, Joe Harris
Cover of the book Quality Management in Intensive Care by David Eisenbud, Joe Harris
Cover of the book The Power of the Space Club by David Eisenbud, Joe Harris
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy