Algebraic Curves and Riemann Surfaces for Undergraduates
Anil Nerode
ISBN 10: 3031116151 ISBN 13: 9783031116155
Verlag: Springer International Publishing AG, 2023
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New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers S0-9783031116155
Inhaltsangabe:
The theory relating algebraic curves and Riemann surfaces exhibits the unity of mathematics: topology, complex analysis, algebra and geometry all interact in a deep way. This textbook offers an elementary introduction to this beautiful theory for an undergraduate audience. At the heart of the subject is the theory of elliptic functions and elliptic curves. A complex torus (or “donut”) is both an abelian group and a Riemann surface. It is obtained by identifying points on the complex plane. At the same time, it can be viewed as a complex algebraic curve, with addition of points given by a geometric “chord-and-tangent” method. This book carefully develops all of the tools necessary to make sense of this isomorphism. The exposition is kept as elementary as possible and frequently draws on familiar notions in calculus and algebra to motivate new concepts. Based on a capstone course given to senior undergraduates, this book is intended as a textbook for courses at this level and includes a large number of class-tested exercises. The prerequisites for using the book are familiarity with abstract algebra, calculus and analysis, as covered in standard undergraduate courses.
Über die Autorin bzw. den Autor:
Anil Nerode, Distinguished Professor of Mathematics at Cornell University, has, over a period of 66 years, made significant contributions to mathematical logic, automata theory, computability theory, and hybrid systems engineering, publishing around 100 papers and 5 books. He first learned elliptic function theory as a graduate student from André Weil in the early 1950s and has taught it over the years, resulting in the present book.
Noam Greenberg is Professor of Mathematics at Victoria University of Wellington, New Zealand. His main research interests are computability theory, algorithmic randomness, reverse mathematics, higher recursion theory, computable model theory, and set theory. He was a Royal Society of New Zealand Rutherford Discovery Fellow and is a Fellow of the Royal Society of New Zealand.
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Titel: Algebraic Curves and Riemann Surfaces for ...
Verlag: Springer International Publishing AG
Erscheinungsdatum: 2023
Einband: PAP
Zustand: New
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Algebraic Curves and Riemann Surfaces for Undergraduates : The Theory of the Donut
Verlag:
Springer International Publishing, 2023
ISBN 10: 3031116151
ISBN 13: 9783031116155
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Taschenbuch
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The theory relating algebraic curves and Riemann surfaces exhibits the unity of mathematics: topology, complex analysis, algebra and geometry all interact in a deep way. This textbook offers an elementary introduction to this beautiful theory for an undergraduate audience.At the heart of the subject is the theory of elliptic functions and elliptic curves. A complex torus (or 'donut') is both an abelian group and a Riemann surface. It is obtained by identifying points on the complex plane. At the same time, it can be viewed as a complex algebraic curve, with addition of points given by a geometric 'chord-and-tangent' method. This book carefully develops all of the tools necessary to make sense of this isomorphism. The exposition is kept as elementary as possible and frequently draws on familiar notions in calculus and algebra to motivate new concepts.Based on a capstone course given to senior undergraduates, this book is intended as a textbook for courses at this level and includes a large number of class-tested exercises. The prerequisites for using the book are familiarity with abstract algebra, calculus and analysis, as covered in standard undergraduate courses. Artikel-Nr. 9783031116155
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Algebraic Curves and Riemann Surfaces for Undergraduates: The Theory of the Donut
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Paperback. Zustand: Brand New. 464 pages. 9.25x6.10x1.02 inches. In Stock. Artikel-Nr. 3031116151
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