Mathematics
Title Mathematics PDF eBook
Author A. D. Aleksandrov
Publisher Courier Corporation
Pages 1120
Release 2012-05-07
Genre Mathematics
ISBN 0486157873

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Major survey offers comprehensive, coherent discussions of analytic geometry, algebra, differential equations, calculus of variations, functions of a complex variable, prime numbers, linear and non-Euclidean geometry, topology, functional analysis, more. 1963 edition.



Mathematics
Title Mathematics PDF eBook
Author Matematicheskiń≠ institut im. V.A. Steklova
Publisher
Pages 400
Release 1990
Genre Mathematics
ISBN 9780880294782

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Mathematics
Title Mathematics PDF eBook
Author Matematicheskiń≠ institut im. V.A. Steklova
Publisher
Pages 218
Release 1962
Genre Mathematics
ISBN

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Provides information on the National Gallery of Art collection of French paintings from about 1626 to 1653. Notes that leading French painters of the period traveled to Rome, Italy, where they were influenced by contemporary Italian artists as well as High Renaissance masters and classical antiquity. Features images of paintings from the collection and offers biographical sketches of the artists. Links to the home page of the National Gallery, which is located in Washington, D.C.



Commutative Algebra, Volume II
Title Commutative Algebra, Volume II PDF eBook
Author Oscar Zariski
Publisher Courier Dover Publications
Pages 434
Release 2019-11-13
Genre Mathematics
ISBN 0486838609

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The second text in this two-book series extends the classical material of Volume I, which focuses on field theory and the ideal theory of Noetherian rings and Dedekind domains. The connection of Volume II's material to algebraic geometry is stressed throughout the presentation, making this book a practical introduction to some basic concepts and the arithmetical foundations of algebraic geometry. The opening chapter deals with properties of places and is followed by a chapter that explores the classical properties of polynomial and power series rings and their applications to algebraic geometry. The final chapter examines the theory of local rings, which provides the algebraic basis for the local study of algebraic and analytical varieties. Several helpful Appendixes conclude the text.



Commutative Algebra, Volume I
Title Commutative Algebra, Volume I PDF eBook
Author Oscar Zariski
Publisher Courier Dover Publications
Pages 353
Release 2019-11-13
Genre Mathematics
ISBN 0486836614

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A precise, fundamental study of commutative algebra, this largely self-contained treatment is the first in a two-volume set. Intended for advanced undergraduates and graduate students in mathematics, its prerequisites are the rudiments of set theory and linear algebra, including matrices and determinants. The opening chapter develops introductory notions concerning groups, rings, fields, polynomial rings, and vector spaces. Subsequent chapters feature an exposition of field theory and classical material concerning ideals and modules in arbitrary commutative rings, including detailed studies of direct sum decompositions. The final two chapters explore Noetherian rings and Dedekind domains. This work prepares readers for the more advanced topics of Volume II, which include valuation theory, polynomial and power series rings, and local algebra.



Lectures on the Mathematical Method in Analytical Economics
Title Lectures on the Mathematical Method in Analytical Economics PDF eBook
Author Jacob T. Schwartz
Publisher Courier Dover Publications
Pages 305
Release 2018-11-14
Genre Mathematics
ISBN 0486828034

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An early but still useful and frequently cited contribution to the science of mathematical economics, this volume is geared toward graduate students in the field. Prerequisites include familiarity with the basic theory of matrices and linear transformations and with elementary calculus. Author Jacob T. Schwartz begins his treatment with an exploration of the Leontief input-output model, which forms a general framework for subsequent material. An introductory treatment of price theory in the Leontief model is followed by an examination of the business-cycle theory, following ideas pioneered by Lloyd Metzler and John Maynard Keynes. In the final section, Schwartz applies the teachings of previous chapters to a critique of the general equilibrium approach devised by Léon Walras as the theory of supply and demand, and he synthesizes the notions of Walras and Keynes. 1961 edition.



Hidden Connections and Double Meanings
Title Hidden Connections and Double Meanings PDF eBook
Author David Wells
Publisher Courier Dover Publications
Pages 176
Release 2018-07-18
Genre Mathematics
ISBN 0486832643

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You don't have to be a mathematician to appreciate these intriguing problems and puzzles, which focus on insight and imagination rather than technique. Includes hints and solutions.