Idealtheorie
Author | : Wolfgang Krull |
Publisher | : |
Total Pages | : 168 |
Release | : 1948 |
Genre | : Algebraic fields |
ISBN | : |
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Author | : Wolfgang Krull |
Publisher | : |
Total Pages | : 168 |
Release | : 1948 |
Genre | : Algebraic fields |
ISBN | : |
Author | : Clifford A. Pickover |
Publisher | : Union Square + ORM |
Total Pages | : 937 |
Release | : 2011-09-27 |
Genre | : Mathematics |
ISBN | : 1402797494 |
The Neumann Prize–winning, illustrated exploration of mathematics—from its timeless mysteries to its history of mind-boggling discoveries. Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, The Math Book covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Each topic is lavishly illustrated with colorful art, along with formulas and concepts, fascinating facts about scientists’ lives, and real-world applications of the theorems.
Author | : Leo Corry |
Publisher | : Birkhäuser |
Total Pages | : 463 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034879172 |
This book describes two stages in the historical development of the notion of mathematical structures: first, it traces its rise in the context of algebra from the mid-1800s to 1930, and then considers attempts to formulate elaborate theories after 1930 aimed at elucidating, from a purely mathematical perspective, the precise meaning of this idea.
Author | : |
Publisher | : Academic Press |
Total Pages | : 317 |
Release | : 1971-10-11 |
Genre | : Mathematics |
ISBN | : 0080873561 |
Multiplicative Theory of Ideals
Author | : Harvey B. Newman |
Publisher | : Springer Science & Business Media |
Total Pages | : 986 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 1461311470 |
The International Conference on the History of Original Ideas and Basic Discoveries, held at the "Ettore Majorana" Centre for Scientific Culture in Erice, Sicily, July 27-August 4, 1994, brought together sixty of the leading scientists including many Nobel Laureates in high energy physics, principal contributors in other fields of physics such as high Tc superconductivity, particle accelerators and detector instrumentation, and thirty-six talented younger physicists selected from candidates throughout the world. The scientific program, including 49 lectures and a discussion session on the "Status and Future Directions in High Energy Physics" was inspired by the conference theme: The key experimental discoveries and theoretical breakthroughs of the last 50 years, in particle physics and related fields, have led us to a powerful description of matter in terms of three quark and three lepton families and four fundamental interactions. The most recent generation of experiments at e+e- and proton-proton colliders, and corresponding advances in theoretical calculations, have given us remarkably precise determinations of the basic parameters of the electroweak and strong interactions. These developments, while showing the striking internal consistency of the Standard Model, have also sharpened our view of the many unanswered questions which remain for the next generation: the origin and pattern of particle masses and families, the unification of the interactions including gravity, and the relation between the laws of physics and the initial conditions of the universe.
Author | : Aron Simis |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 340 |
Release | : 2020-03-09 |
Genre | : Mathematics |
ISBN | : 3110617072 |
This unique book on commutative algebra is divided into two parts in order to facilitate its use in several types of courses. The first introductory part covers the basic theory, connections with algebraic geometry, computational aspects, and extensions to module theory. The more advanced second part covers material such as associated primes and primary decomposition, local rings, M-sequences and Cohen-Macaulay modules, and homological methods.
Author | : Bhama Srinivasan |
Publisher | : Springer Science & Business Media |
Total Pages | : 183 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461255473 |
Sponsored by the Association for Women in Mathematics
Author | : N. Bourbaki |
Publisher | : Springer Science & Business Media |
Total Pages | : 654 |
Release | : 1998-08-03 |
Genre | : Mathematics |
ISBN | : 3540642390 |
This is the softcover reprint of the English translation of 1972 (available from Springer since 1989) of the first 7 chapters of Bourbaki's 'Algèbre commutative'. It provides a very complete treatment of commutative algebra, enabling the reader to go further and study algebraic or arithmetic geometry. The first 3 chapters treat in succession the concepts of flatness, localization and completions (in the general setting of graduations and filtrations). Chapter 4 studies associated prime ideals and the primary decomposition. Chapter 5 deals with integers, integral closures and finitely generated algebras over a field (including the Nullstellensatz). Chapter 6 studies valuation (of any rank), and the last chapter focuses on divisors (Krull, Dedekind, or factorial domains) with a final section on modules over integrally closed Noetherian domains, not usually found in textbooks. Useful exercises appear at the ends of the chapters.
Author | : Neal H. McCoy |
Publisher | : American Mathematical Soc. |
Total Pages | : 229 |
Release | : 1948-12-31 |
Genre | : Mathematics |
ISBN | : 1614440085 |
This monograph presents an introduction to that branch of abstract algebra having to do with the theory of rings, with some emphasis on the role of ideals in the theory. Except for a knowledge of certain fundamental theorems about determinants which is assumed in Chapter VIII, and at one point in Chapter VII, the book is almost entirely self-contained. Of course, the reader must have a certain amount of “mathematical maturity” in order to understand the illustrative examples and also to grasp the significance of the abstract approach. However, as far as formal technique is concerned, little more than the elements of algebra are presupposed.
Author | : F. S. Macaulay |
Publisher | : Cambridge University Press |
Total Pages | : 148 |
Release | : 1994-04-14 |
Genre | : Mathematics |
ISBN | : 9780521455626 |
Originally published over 75 years ago, the wealth of thinking expounded here by Macaulay will still be a source of inspiration to all workers in commutative algebra.