This text introduces Euclidean plane geometry with axioms based on rigid motions. It covers congruence and rigid motions, axioms for the plane, existence and properties of reflections, the concurrence of triangles, rotation and orientation, half-...Loe edasi...
(Ilmumisaeg: 30-Oct-2019, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470449322)
The book originated as notes for a one-semester transition-to-proofs course in algebra, roughly equivalent to an introductory discrete mathematics course but with more group theory, says Hwang. It is for undergraduate mathematics majors with a so...Loe edasi...
(Ilmumisaeg: 30-Sep-2017, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470428495)
This text introduces undergraduates with no knowledge of the subject to abstract algebra, covering group theory, ring theory, and fields and Galois theory. It introduces group actions early, and includes Hasse diagrams of posets and homomorphism...Loe edasi...
In a textbook for an advanced undergraduate course in mathematics, Climenhaga and Katok demonstrate how to use geometry to understand group theory, and group theory to understand geometry. They begin with symmetry groups in various geometries, th...Loe edasi...
Contains the proceedings of the First Workshop Matematicos Mexicanos Jovenes en el Mundo, held in August 2012. Featured are survey and research articles in six areas: algebra, analysis, applied mathematics, geometry, probability and topology. Topics...Loe edasi...
(Ilmumisaeg: 30-Nov-2015, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470415549)
Part One--this volume--can be used as a text for the first year of graduate algebra, says Rotman, but it and the forthcoming Part Two can also serve more advanced graduate students wishing to learn topics on their own. They comprise a reference as we...Loe edasi...
The book is a response to the observation that even in mathematics intensive disciplines like computer science, almost all the mathematics taught in the curriculum is from before the 20th century, because a foundation is all there is time for. Kantor...Loe edasi...
