Andere Kunden interessierten sich auch für
![Problems in Algebraic Number Theory]( "Problems in Algebraic Number Theory")
Problems in Algebraic Number Theory65,99 €![Algebraic Number Theory]( "Algebraic Number Theory")
Algebraic Number Theory64,19 €![Introduction to Cyclotomic Fields]( "Introduction to Cyclotomic Fields")
Introduction to Cyclotomic Fields55,99 €![Algebraic Number Theory]( "Algebraic Number Theory")
Algebraic Number Theory59,99 €![Quadratic Forms, Linear Algebraic Groups, and Cohomology]( "Quadratic Forms, Linear Algebraic Groups, and Cohomology")
Quadratic Forms, Linear Algebraic Groups, and Cohomology74,99 €![Diophantine Geometry]( "Diophantine Geometry")
Diophantine Geometry64,99 €![Algebraic Number Theory]( "Algebraic Number Theory")
Algebraic Number Theory125,99 €
The problems are systematically arranged to reveal the evolution of concepts and ideas of the subject Includes various levels of problems - some are easy and straightforward, while others are more challenging All problems are elegantly solved
Asking how one does mathematical research is like asking how a composer creates a masterpiece. No one really knows. However, it is a recognized fact that problem solving plays an important role in training the mind of a researcher. It would not be an exaggeration to say that the ability to do mathematical research lies essentially asking "well-posed" questions. The approach taken by the authors in Problems in Algebraic Number Theory is based on the principle that questions focus and orient the mind. The book is a collection of about 500 problems in algebraic number theory, systematically arranged to reveal ideas and concepts in the evolution of the subject. While some problems are easy and straightforward, others are more difficult. For this new edition the authors added a chapter and revised several sections. The text is suitable for a first course in algebraic number theory with minimal supervision by the instructor. The exposition facilitates independent study, and students having taken a basic course in calculus, linear algebra, and abstract algebra will find these problems interesting and challenging. For the same reasons, it is ideal for non-specialists in acquiring a quick introduction to the subject.
Asking how one does mathematical research is like asking how a composer creates a masterpiece. No one really knows. However, it is a recognized fact that problem solving plays an important role in training the mind of a researcher. It would not be an exaggeration to say that the ability to do mathematical research lies essentially asking "well-posed" questions. The approach taken by the authors in Problems in Algebraic Number Theory is based on the principle that questions focus and orient the mind. The book is a collection of about 500 problems in algebraic number theory, systematically arranged to reveal ideas and concepts in the evolution of the subject. While some problems are easy and straightforward, others are more difficult. For this new edition the authors added a chapter and revised several sections. The text is suitable for a first course in algebraic number theory with minimal supervision by the instructor. The exposition facilitates independent study, and students having taken a basic course in calculus, linear algebra, and abstract algebra will find these problems interesting and challenging. For the same reasons, it is ideal for non-specialists in acquiring a quick introduction to the subject.
From the reviews of the second edition:
"Problems in Algebraic Number Theory is intended to be used by the students for independent study of the subject. It provides the reader with a large collection of problems (about 500) ... . The reviewer thinks that the authors have done a fantastic job choosing the problems, which are perfectly arranged so the students can progressively move from topic to topic ... . the book is an excellent resource for the instructor and the student as a companion to any algebraic number theory course." (Álvaro Lozano-Robledo, MathDL, May, 2005)
"This second edition is an expanded and revised version of the first edition. In particular, it contains an extra chapter on density theorems and L-Functions highlighting some of the analytic aspects of algebraic number theory. ... the reviewer is certain that many students will benefit from this pathway into the fascinating realm of algebraic number theory." (Zentralblatt für Didaktik der Mathematik, August, 2005)
"This is the second edition of Problems in algebraic number theory. ... errors have been corrected ... . The decision to expand the book by including a chapter on density theorems is most welcome." (Franz Lemmermeyer, Zentralblatt MATH, Vol. 1055)
"This is the second edition of an unusual introduction to algebraic number theory. ... each chapter is written in straightforward textbook style. All chapters contain a very large number of problems. ... it presents a good way of acquiring a working knowledge of basic algebraic number theory by using it for independent study or as supplementary reading." (Ch. Baxa, Monatshefte für Mathematik, Vol. 149 (4), 2006)
"Problems in Algebraic Number Theory is intended to be used by the students for independent study of the subject. It provides the reader with a large collection of problems (about 500) ... . The reviewer thinks that the authors have done a fantastic job choosing the problems, which are perfectly arranged so the students can progressively move from topic to topic ... . the book is an excellent resource for the instructor and the student as a companion to any algebraic number theory course." (Álvaro Lozano-Robledo, MathDL, May, 2005)
"This second edition is an expanded and revised version of the first edition. In particular, it contains an extra chapter on density theorems and L-Functions highlighting some of the analytic aspects of algebraic number theory. ... the reviewer is certain that many students will benefit from this pathway into the fascinating realm of algebraic number theory." (Zentralblatt für Didaktik der Mathematik, August, 2005)
"This is the second edition of Problems in algebraic number theory. ... errors have been corrected ... . The decision to expand the book by including a chapter on density theorems is most welcome." (Franz Lemmermeyer, Zentralblatt MATH, Vol. 1055)
"This is the second edition of an unusual introduction to algebraic number theory. ... each chapter is written in straightforward textbook style. All chapters contain a very large number of problems. ... it presents a good way of acquiring a working knowledge of basic algebraic number theory by using it for independent study or as supplementary reading." (Ch. Baxa, Monatshefte für Mathematik, Vol. 149 (4), 2006)
Aus den Rezensionen zur 2. Auflage: "'Learning by doing' ist das Motto dieses Lehrbuchs, das eine Einführung in die algebraische Zahlentheorie bietet ... Der gebotene Stoff ... wird durch etwa 500 Übungen ergänzt, die den ... Leser zum selbstständigen Erarbeiten der algebraischen Zahlentheorie anregen sollen. ... Dieses Buch kann sowohl als Begleitbuch für eine entsprechende Lehrveranstaltung als auch zum Selbststudium für 'Einsteiger' in die algebraische Zahlentheorie empfohlen werden." (Günter Lettl, in: IMN - Internationale Mathematische Nachrichten, 2006, Issue 202, S. 42)