[图书][B] Quaternion algebras
J Voight - 2021 - library.oapen.org
This open access textbook presents a comprehensive treatment of the arithmetic theory of
quaternion algebras and orders, a subject with applications in diverse areas of mathematics …
quaternion algebras and orders, a subject with applications in diverse areas of mathematics …
[图书][B] Primes of the Form x2+ ny2: Fermat, Class Field Theory, and Complex Multiplication. with Solutions
DA Cox - 2022 - books.google.com
This book studies when a prime p can be written in the form x2+ ny2. It begins at an
elementary level with results of Fermat and Euler and then discusses the work of Lagrange …
elementary level with results of Fermat and Euler and then discusses the work of Lagrange …
[引用][C] Algebraic Number Theory
S Lang - Graduate Texts in Mathematics, 1994 - books.google.com
The present book gives an exposition of the classical basic algebraic and analytic number
theory and supersedes my Algebraic Numbers, including much more material, eg the class …
theory and supersedes my Algebraic Numbers, including much more material, eg the class …
[图书][B] An introduction to homological algebra
JJ Rotman, JJ Rotman - 2009 - Springer
Homological Algebra has grown in the nearly three decades since the rst e-tion of this book
appeared in 1979. Two books discussing more recent results are Weibel, An Introduction to …
appeared in 1979. Two books discussing more recent results are Weibel, An Introduction to …
[图书][B] The associative algebra
RS Pierce, RS Pierce - 1982 - Springer
Our objective in this chapter is to show off a few examples of algebras that occur naturally.
After a brief orientation toward concepts and notation, the reader is introduced to group …
After a brief orientation toward concepts and notation, the reader is introduced to group …
[图书][B] Field arithmetic
MD Fried, M Jarden - 2008 - Springer
To those precious colleagues who can appreciate the goals of and connections to other
areas. To those who acknowledge the depth of what we already know from the absorbed …
areas. To those who acknowledge the depth of what we already know from the absorbed …
[图书][B] The arithmetic of hyperbolic 3-manifolds
C Maclachlan, AW Reid - 2013 - books.google.com
For the past 25 years, the Geometrization Program of Thurston has been a driving force for
research in 3-manifold topology. This has inspired a surge of activity investigating hyperbolic …
research in 3-manifold topology. This has inspired a surge of activity investigating hyperbolic …
[图书][B] Noncommutative geometry, quantum fields and motives
A Connes, M Marcolli - 2019 - books.google.com
The unifying theme of this book is the interplay among noncommutative geometry, physics,
and number theory. The two main objects of investigation are spaces where both the …
and number theory. The two main objects of investigation are spaces where both the …
Quasicrystals. I. Definition and structure
D Levine, PJ Steinhardt - Physical Review B, 1986 - APS
In a recent paper, we introduced the concept of quasicrystals [Phys. Rev. Lett. 53, 2477
(1984)], a new class of ordered atomic structures. Quasicrystals have long-range …
(1984)], a new class of ordered atomic structures. Quasicrystals have long-range …
[图书][B] Polynomials
VV Prasolov - 2009 - books.google.com
This comprehensive book covers both long-standing results in the theory of polynomials and
recent developments which have until now only been available in the research literature …
recent developments which have until now only been available in the research literature …