* Excellently written textbook in commutative algebra Book makes getting into the subject easier for students than with existing works Well-known mathematician Kemper’s "Course in Commutative Algebra" presents a thorough, modern introduction to the subject. .With carefully selected topics presented in a natural geometric context, the author's key focus is on concepts and r...(展开全部)

This book is about all kinds of numbers, from rationals to octonians, reals to infinitesimals. It is a story about a major thread of mathematics over thousands of years, and it answers everything from why Hamilton was obsessed with quaternions to what the prospect was for quaternionic analysis in the 19th century. It glimpses the mystery surrounding imaginary numbers in the 17t...(展开全部)

A discussion of certain advanced topics in operator theory, providing the necessary background while assuming only standard senior-first year graduate courses in general topology, measure theory, and algebra. Each chapter ends with source notes which suggest additional reading along with comments on who proved what and when, followed by a large number of problems of varying dif...(展开全部)

This is an introduction to Galois Theory along the lines of Galois's Memoir on the Conditions for Solvability of Equations by Radicals. It puts Galois's ideas into historical perspective by tracing their antecedents in the works of Gauss, Lagrange, Newton, and even the ancient Babylonians. It also explains the modern formulation of the theory. It includes many exercises, with t...(展开全部)

This text covers Riemann surface theory from elementary aspects to the frontiers of current research. Open and closed surfaces are treated with emphasis on the compact case, while basic tools are developed to describe the analytic, geometric, and algebraic properties of Riemann surfaces and the associated Abelian varities. Topics covered include existence of meromorphic functio...(展开全部)

This is a comprehensive textbook on modern algebra written by an internationally renowned specialist. It covers material traditionally found in advanced undergraduate and basic graduate courses and presents it in a lucid style. The author includes almost no technically difficult proofs, and reflecting his point of view on mathematics, he tries wherever possible to replace calcu...(展开全部)

This is a book about physics, written for mathematicians. The readers we have in mind can be roughly described as those who: I. are mathematics graduate students with some knowledge of global differential geometry 2. have had the equivalent of freshman physics, and find popular accounts of astrophysics and cosmology interesting 3. appreciate mathematical elarity, but are willin...(展开全部)

Stephan Ramon Garcia 是美国波莫纳学院数学教授，美国数学学会会士。他是4本书的作者，并发表了超过80篇论文。他的研究兴趣包括算子理论、复变量、矩阵分析、数论和离散几何。 Roger A. Horn 是线性代数和矩阵理论领域国际数学专家。1967年获得斯坦福大学数学博士学位，曾任约翰;霍普金斯大学数学系主任，现为犹他大学研究教授。他还曾担任 American Mathematical Monthly 编辑。