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Grundzuge Der Algebraischen Geometrie
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Book Synopsis Grundzüge der algebraischen Geometrie by : Igor' R. Šafarevič
Download or read book Grundzüge der algebraischen Geometrie written by Igor' R. Šafarevič and published by Springer-Verlag. This book was released on 2013-07-01 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Grundzüge der algebraischen Geometrie by : I. R. Afarevi
Download or read book Grundzüge der algebraischen Geometrie written by I. R. Afarevi and published by . This book was released on 1972 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Number Theory written by Helmut Koch and published by American Mathematical Soc.. This book was released on 2000 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic number theory is one of the most refined creations in mathematics. It has been developed by some of the leading mathematicians of this and previous centuries. The primary goal of this book is to present the essential elements of algebraic number theory, including the theory of normal extensions up through a glimpse of class field theory. Following the example set for us by Kronecker, Weber, Hilbert and Artin, algebraic functions are handled here on an equal footing with algebraic numbers. This is done on the one hand to demonstrate the analogy between number fields and function fields, which is especially clear in the case where the ground field is a finite field. On the other hand, in this way one obtains an introduction to the theory of 'higher congruences' as an important element of 'arithmetic geometry'. Early chapters discuss topics in elementary number theory, such as Minkowski's geometry of numbers, public-key cryptography and a short proof of the Prime Number Theorem, following Newman and Zagier. Next, some of the tools of algebraic number theory are introduced, such as ideals, discriminants and valuations. These results are then applied to obtain results about function fields, including a proof of the Riemann-Roch Theorem and, as an application of cyclotomic fields, a proof of the first case of Fermat's Last Theorem. There are a detailed exposition of the theory of Hecke $L$-series, following Tate, and explicit applications to number theory, such as the Generalized Riemann Hypothesis. Chapter 9 brings together the earlier material through the study of quadratic number fields. Finally, Chapter 10 gives an introduction to class field theory. The book attempts as much as possible to give simple proofs. It can be used by a beginner in algebraic number theory who wishes to see some of the true power and depth of the subject. The book is suitable for two one-semester courses, with the first four chapters serving to develop the basic material. Chapters 6 through 9 could be used on their own as a second semester course.
Book Synopsis Algebraische Geometrie by : Wolfgang Gröbner
Download or read book Algebraische Geometrie written by Wolfgang Gröbner and published by . This book was released on 1968 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algebraische Geometrie by : Markus Brodmann
Download or read book Algebraische Geometrie written by Markus Brodmann and published by Springer-Verlag. This book was released on 2013-03-07 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diese Einführung in die algebraische Geometrie richtet sich an Studierende mittlere und höhere Semester. Vorausgesetzt werden lediglich die im ersten Studienjahr erworbenen Grundkenntnisse. Ausgehend von den affinen Hyperflächen werden beliebige affine und schliesslich projektive Varietäten untersucht. Die benötigte Algebra wird dabei laufend entwickelt. Schwerpunkte des Buches sind die Dimensions- und Morphismentheorie, die Multiplizitätstheorie sowie der Gradbegriff. Zahlreiche Beispiele sollen dem Leser helfen, sich über die konkrete Bedeutung des Stoffes klarzuwerden.
Book Synopsis Elementare Algebraische Geometrie by : Klaus Hulek
Download or read book Elementare Algebraische Geometrie written by Klaus Hulek and published by Springer-Verlag. This book was released on 2013-03-07 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dieses Buch gibt eine Einführung in die Algebraische Geometrie. Ziel ist es, die grundlegenden Begriffe und Techniken der algebraischen Geometrie zusammen mit einer Reihe von Beispielen darzustellen.
Book Synopsis Grundzüge einer rein geometrischen Theorie der algebraischen ebenen Curven by : Ernst Kötter
Download or read book Grundzüge einer rein geometrischen Theorie der algebraischen ebenen Curven written by Ernst Kötter and published by . This book was released on 1887 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Real Algebra written by Manfred Knebusch and published by Springer Nature. This book was released on 2022-10-22 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dieses Buch will dem Leser eine Einführung in wichtige Techniken und Methoden der heutigen reellen Algebra und Geometrie vermitteln. An Voraussetzungen werden dabei nur Grundkenntnisse der Algebra erwartet, so daß das Buch für Studenten mittlerer Semester geeignet ist.Das erste Kapitel enthält zunächst grundlegende Fakten über angeordnete Körper und ihre reellen Abschlüsse und behandelt dann verschiedene Methoden zur Bestimmung der Anzahl reeller Nullstellen von Polynomen. Das zweite Kapitel befaßt sich mit reellen Stellen und gipfelt in Artins Lösung des 17. Hilbertschen Problems. Kapitel III schließlich ist dem noch jungen Begriff des reellen Spektrums und seinen Anwendungen gewidmet."Neben dem 1987 erschienenen "Géometrie algébrique réelle" von J. Bochnak-M. Coste- M. Roy stellt die vorliegende Monographie das erste Lehrbuch auf diesem Gebiet dar... Damit liegt eine sehr empfehlenswerte Einführung...vor..." (H. Mitsch, Monatshefte für Mathematik 3/111, 1991)
Book Synopsis Einführung in die kommutative Algebra und algebraische Geometrie by : Ernst Kunz
Download or read book Einführung in die kommutative Algebra und algebraische Geometrie written by Ernst Kunz and published by Springer-Verlag. This book was released on 2013-03-09 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Einführung in die algebraische Geometrie by : Bartel Leendert Waerden
Download or read book Einführung in die algebraische Geometrie written by Bartel Leendert Waerden and published by . This book was released on 1939 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Zur algebraischen Geometrie by : Bartel L. van der Waerden
Download or read book Zur algebraischen Geometrie written by Bartel L. van der Waerden and published by Springer-Verlag. This book was released on 2013-12-01 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algebraische Geometrie by : Karl-Heinz Fieseler
Download or read book Algebraische Geometrie written by Karl-Heinz Fieseler and published by . This book was released on 2005 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Zur algebraischen Geometrie by : Bartel L. van der Waerden
Download or read book Zur algebraischen Geometrie written by Bartel L. van der Waerden and published by Springer. This book was released on 1983-07-01 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Neue Topologische Methoden in der Algebraischen Geometrie by : Friedrich Hirzebruch
Download or read book Neue Topologische Methoden in der Algebraischen Geometrie written by Friedrich Hirzebruch and published by Springer. This book was released on 1962-01-01 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algebraic Geometry for Scientists and Engineers by : Shreeram Shankar Abhyankar
Download or read book Algebraic Geometry for Scientists and Engineers written by Shreeram Shankar Abhyankar and published by American Mathematical Soc.. This book was released on 1990 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, based on lectures presented in courses on algebraic geometry taught by the author at Purdue University, is intended for engineers and scientists (especially computer scientists), as well as graduate students and advanced undergraduates in mathematics. In addition to providing a concrete or algorithmic approach to algebraic geometry, the author also attempts to motivate and explain its link to more modern algebraic geometry based on abstract algebra.The book covers various topics in the theory of algebraic curves and surfaces, such as rational and polynomial parametrization, functions and differentials on a curve, branches and valuations, and resolution of singularities. The emphasis is on presenting heuristic ideas and suggestive arguments rather than formal proofs. Readers will gain new insight into the subject of algebraic geometry in a way that should increase appreciation of modern treatments of the subject, as well as enhance its utility in applications in science and industry.
Book Synopsis Moderne algebraische Geometrie by : Wolfgang Gröbner
Download or read book Moderne algebraische Geometrie written by Wolfgang Gröbner and published by . This book was released on 1949 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Grundzüge der Mathematik by : H. et al Behnke
Download or read book Grundzüge der Mathematik written by H. et al Behnke and published by . This book was released on 1967 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: