Explore modern theory of complex projective algebraic curves with vivid examples linking classical geometry, commutative algebra and moduli theory. Beginning with key ideas like projective maps, invertible sheaves and the RiemannRoch theorem, it adv...Lasīt vairāk
(Izdošanas datums: 28-Feb-2025, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470476373)
This textbook provides readers with a working knowledge of the modern theory of complex projective algebraic curves. Also known as compact Riemann surfaces, such curves shaped the development of algebraic geometry itself, making this theory essentia...Lasīt vairāk
(Izdošanas datums: 30-Nov-2023, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470471279)
This book provides an introduction to classical methods in commutative algebra and their applications to number theory, algebraic geometry, and computational algebra. The use of number theory as a motivating theme throughout the book provides a ri...Lasīt vairāk
This book provides an introduction to classical methods in commutative algebra and their applications to number theory, algebraic geometry, and computational algebra. The use of number theory as a motivating theme throughout the book provides a ri...Lasīt vairāk
The second part of a Russian book on teaching mathematics through problems appears in English translation, focuses on geometry. It is a resource for Mathematical Circles, an eastern European concept that is similar to Western math clubs, but are...Lasīt vairāk
Tensors are ubiquitous in the sciences. The geometry of tensors is both a powerful tool for extracting information from data sets, and a beautiful subject in its own right. This book has three intended uses: a classroom textbook, a reference work fo...Lasīt vairāk
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-...Lasīt vairāk
Al Cuoco, Kevin Waterman, Bowen Kerins, Elena Kaczorowski, Michelle Manes
Sērija : MAA Textbooks
(Izdošanas datums: 30-May-2019, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470443504)
Organised around carefully sequenced problems, Linear Algebra and Geometry will help students build both the tools and the habits that provide a solid basis for further study in mathematics. This volume uses elementary geometry to build the beautifu...Lasīt vairāk
(Izdošanas datums: 30-Mar-2018, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470430979)
Hutz presents a textbook for an undergraduate course in elementary number theory from a computational perspective. In addition to introducing students to the standard topics in elementary number theory, he also discusses the formulation of conjec...Lasīt vairāk
(Izdošanas datums: 30-Sep-2017, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470437701)
Presents a comprehensive introduction to the theory of separable algebras over commutative rings. After a thorough introduction to the general theory, the fundamental roles played by separable algebras are explored. Azumaya algebras, the henselizati...Lasīt vairāk
Shemanske presents some of the vistas of modern mathematics to undergraduate students who have just started their mathematical education, with the intention of enticing and guiding them into taking mathematics courses beyond the typical calculus...Lasīt vairāk
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...Lasīt vairāk
(Izdošanas datums: 30-Nov-2015, Hardback, Izdevniecība: 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...Lasīt vairāk
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...Lasīt vairāk
The course was designed to go beyond the mathematics of resolving singularities of algebraic varieties and represent a step in the career of participants by teaching them how to grasp and incorporate the main features of a complicated theory, to eval...Lasīt vairāk
The material is from a 2008 three-week summer institute designed to prepare participants to teach algebraic geometry to undergraduates at their own college or university. The book of problems with connecting explanation covers conics, double curves a...Lasīt vairāk
(Izdošanas datums: 30-Jan-2012, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9780821869079)
Landsberg (mathematics, Texas A&M U.) offers a book on the geometry of tensors that can serve as a graduate classroom textbook, a reference work for researchers, and a research manuscript. It covers motivation from applications, multi-linear algebra,...Lasīt vairāk
