Algebraic Curves and Riemann Surfaces for Undergraduates (PDF)

Name: Algebraic Curves and Riemann Surfaces for Undergraduates
Brand: Springer International Publishing
SKU: 146757836
Price: 60.49 EUR
Availability: OnlineOnly

The Theory of the Donut (Sprache: Englisch)

Autoren: Anil Nerode , Noam Greenberg

Schreiben Sie einen Kommentar zu "Algebraic Curves and Riemann Surfaces for Undergraduates".

Algebraic Curves and Riemann Surfaces for Undergraduates, Anil Nerode, Noam Greenberg

Merken

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...

Mehr zum Inhalt Autorenporträt Video

sofort als Download lieferbar

Bestellnummer: 146757836

eBook (pdf) 60.49 €

Download bestellen

Verschenken

Lastschrift, Kreditkarte, Paypal, Rechnung
Kostenloser tolino webreader

Produktdetails

Produktbeschreibung
Autorenporträt
eBook Hilfe
Biblio. Angaben / Produktdetails

Produktinformationen zu „Algebraic Curves and Riemann Surfaces for Undergraduates (PDF)“

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.

Autoren-Porträt von Anil Nerode, Noam Greenberg

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.