Similar algebra & trigonometry books

Algebra. Rings, modules and categories

VI of Oregon lectures in 1962, Bass gave simplified proofs of a few "Morita Theorems", incorporating principles of Chase and Schanuel. one of many Morita theorems characterizes whilst there's an equivalence of different types mod-A R::! mod-B for 2 earrings A and B. Morita's resolution organizes principles so successfully that the classical Wedderburn-Artin theorem is a straightforward outcome, and additionally, a similarity type [AJ within the Brauer crew Br(k) of Azumaya algebras over a commutative ring okay involves all algebras B such that the corresponding different types mod-A and mod-B along with k-linear morphisms are an identical by way of a k-linear functor.

Matrix Partial Orders, Shorted Operators and Applications (Series in Algebra)

The current monograph on matrix partial orders, the 1st in this subject, makes a different presentation of many partial orders on matrices that experience interested mathematicians for his or her good looks and utilized scientists for his or her wide-ranging program capability. aside from the LÃ¶wner order, the partial orders thought of are fairly new and got here into being within the past due Seventies.

Geometry and Algebra in Ancient Civilizations

Initially, my goal used to be to jot down a "History of Algebra", in or 3 volumes. In getting ready the 1st quantity I observed that during old civiliza­ tions geometry and algebra can't good be separated: an increasing number of sec­ tions on old geometry have been extra. accordingly the hot identify of the booklet: "Geometry and Algebra in historic Civilizations".

Extra resources for Linear and nonlinear ill-posed problems

Sample text

A. Chudov,"Finite-difference schemes and ill-posed problems for partial differential equations," in: Computational Methods and Programming [in Russian], No. 8, Moskov. , Moscow (1967), pp. 34-62. 199. V. F. Sholokhovich, "Unstable extremal problems," Matem. Zap. Ural'sk. , i, No. 2, 103-111 (1969). 200. V. F. Sholokhovich. "Unstable extremal problems and the geometric properties of Banach spaces," Dokl. Akad. Nauk SSSR, 19__5, No. 2, 289-291 (1970). 201. V. F. Sholokhovich, "Approximate solution of unstable extremal problems," Izv.

Sci. Math. , 6, Nos. 3-4, 457-465 (1971). 224. P. Medgyessy, "Inkirrekt matematikai probl~m~k vizsg~lat~nak jelen ~ll~s~r61 u~IbnBs tekintettel. I. Faj6 oper~toregyenletek megold~s~ra," Magy. Tud. Akad. Mat. ~s Fiz. Tud. Oszt. , 20, Nos. 1-2, 97-131 (1971). 225. K. Miller, "Three circle theorems in partial differential equations and applications to improperly posed problems," Arch. Rational Mech. , 16, No. 2, 126-154 (1964). 226. I. P. Nedyalkov, "An approach in the theory of incorrect problems," Dokl.

Pure Appl. , 8, 591-594 (1955). 221. F. John, "Continuous dependence on data for solutions with a prescribed bound," Commun. Pure Appl. , 13, No. 4, 551-585 (1960). 222. F. John, "Numerical solution of problems which are not well posed in the sense of Hadamard," in: Sympos. Numerical Treatment of Partial Differential Equations with Real Characteristics, Rome (1959), pp. 103-116. 223. K. Marton and L. Varga, "Regularization of certain operator equations by filters," Stud. Sci. Math. , 6, Nos. 3-4, 457-465 (1971).