<p>Eine verst#65533;ndliche, konzise und immer fl#65533;ssige Einf#65533;hrung in die Algebra, die insbesondere durch ihre sorgf#65533;ltige didaktische Aufbereitung bei vielen Studierenden Freunde findet. Die vorliegende Auflage bietet neben zahlreichen Aufgaben (mit L#65533;sungshinweisen) sowie einf#65533;hrenden und motivierenden Vorbemerkungen auch Ausblicke auf neuere Entwicklungen. Auch selten im Lehrbuch behandelte Themen wie Resultanten, Diskriminanten, Kummer-Theorie und Witt-Vektoren werden angesprochen. Die ber#65533;hmten Formeln aus dem 16. Jahrhundert zur Aufl#65533;sung von Gleichungen dritten und vierten Grades werden ausf#65533;hrlich erl#65533;utert und in den Rahmen der Galois-Theorie eingeordnet.</p> <p>Ein klares, modernes und inhaltsreiches Lehrbuch, das f#65533;r das Studium der Algebra unentbehrlich ist.</p> Summary 364239566X hebis

@book{bosch2013algebra, author = {Bosch, Siegfried}, title = {Algebra}, series = {Springer-Lehrbuch}, publisher = {Springer Spektrum}, address = {Berlin [u.a.]}, year = {2013}, edition = {8., korrigierte Aufl.}, url = {http://d-nb.info/1037895916/04}, isbn = {9783642395666}, keywords = {algebra, basics, thebook}, abstract = {<p>Eine verst#65533;ndliche, konzise und immer fl#65533;ssige Einf#65533;hrung in die Algebra, die insbesondere durch ihre sorgf#65533;ltige didaktische Aufbereitung bei vielen Studierenden Freunde findet. Die vorliegende Auflage bietet neben zahlreichen Aufgaben (mit L#65533;sungshinweisen) sowie einf#65533;hrenden und motivierenden Vorbemerkungen auch Ausblicke auf neuere Entwicklungen. Auch selten im Lehrbuch behandelte Themen wie Resultanten, Diskriminanten, Kummer-Theorie und Witt-Vektoren werden angesprochen. Die ber#65533;hmten Formeln aus dem 16. Jahrhundert zur Aufl#65533;sung von Gleichungen dritten und vierten Grades werden ausf#65533;hrlich erl#65533;utert und in den Rahmen der Galois-Theorie eingeordnet.</p> <p>Ein klares, modernes und inhaltsreiches Lehrbuch, das f#65533;r das Studium der Algebra unentbehrlich ist.</p> Summary 364239566X hebis} }

%0 = book %A = Bosch, Siegfried %C = Berlin [u.a.] %D = 2013 %I = Springer Spektrum %T = Algebra %U = http://d-nb.info/1037895916/04

This book is written as a textbook on algebraic topology. The first part covers the material for two introductory courses about homotopy and homology. The second part presents more advanced applications and concepts (duality, characteristic classes, homotopy groups of spheres, bordism). The author recommends starting an introductory course with homotopy theory. For this purpose, classical results are presented with new elementary proofs. Alternatively, one could start more traditionally with singular and axiomatic homology. Additional chapters are devoted to the geometry of manifolds, cell complexes and fibre bundles. A special feature is the rich supply of nearly 500 exercises and problems. Several sections include topics which have not appeared before in textbooks as well as simplified proofs for some important results. Prerequisites are standard point set topology (as recalled in the first chapter), elementary algebraic notions (modules, tensor product), and some terminology from category theory. The aim of the book is to introduce advanced undergraduate and graduate (master's) students to basic tools, concepts and results of algebraic topology. Sufficient background material from geometry and algebra is included. Summary hebis

@book{tomdieck2008algebraic, author = {Tom Dieck, Tammo}, title = {Algebraic topology}, series = {EMS textbooks in mathematics}, publisher = {Europ. Math. Soc.}, address = {Zürich}, year = {2008}, url = {http://scans.hebis.de/HEBCGI/show.pl?20422500_toc.pdf}, isbn = {9783037190487}, keywords = {topology, future}, abstract = {This book is written as a textbook on algebraic topology. The first part covers the material for two introductory courses about homotopy and homology. The second part presents more advanced applications and concepts (duality, characteristic classes, homotopy groups of spheres, bordism). The author recommends starting an introductory course with homotopy theory. For this purpose, classical results are presented with new elementary proofs. Alternatively, one could start more traditionally with singular and axiomatic homology. Additional chapters are devoted to the geometry of manifolds, cell complexes and fibre bundles. A special feature is the rich supply of nearly 500 exercises and problems. Several sections include topics which have not appeared before in textbooks as well as simplified proofs for some important results. Prerequisites are standard point set topology (as recalled in the first chapter), elementary algebraic notions (modules, tensor product), and some terminology from category theory. The aim of the book is to introduce advanced undergraduate and graduate (master's) students to basic tools, concepts and results of algebraic topology. Sufficient background material from geometry and algebra is included. Summary hebis} }

%0 = book %A = Tom Dieck, Tammo %C = Zürich %D = 2008 %I = Europ. Math. Soc. %T = Algebraic topology %U = http://scans.hebis.de/HEBCGI/show.pl?20422500_toc.pdf