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Difference Algebra
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ISBN: 9781402069475 Year: 2008 Publisher: Dordrecht Springer Science+Business Media B.V

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Solid state quantum chemistry: the chemical bond and energy bands in tetrahedral semiconductors
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ISBN: 007037435X 9780070374355 Year: 1977 Publisher: New York McGraw-Hill


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Difference Algebra
Authors: ---
ISBN: 9781402069475 Year: 2008 Publisher: Dordrecht Springer Science+Business Media B.V.

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Difference algebra grew out of the study of algebraic difference equations with coefficients from functional fields in much the same way as the classical algebraic geometry arose from the study of polynomial equations with numerical coefficients. The first stage of the development of the theory is associated with its founder J. F. Ritt (1893 - 1951) and R. Cohn whose book Difference Algebra (1965) remained the only fundamental monograph on the subject for many years. Nowadays, difference algebra has overgrew the frame of the theory of ordinary algebraic difference equations and appears as a rich theory with applications to the study of equations in finite differences, functional equations, differential equations with delay, algebraic structures with operators, group and semigroup rings. This book reflects the contemporary level of difference algebra; it contains a systematic study of partial difference algebraic structures and their applications, as well as the coverage of the classical theory of ordinary difference rings and field extensions. The monograph is intended for graduate students and researchers in difference and differential algebra, commutative algebra, ring theory, and algebraic geometry. It will be also of interest to researchers in computer algebra, theory of difference equations and equations of mathematical physics. The book is self-contained; it requires no prerequisites other than knowledge of basic algebraic concepts and mathematical maturity of an advanced undergraduate.


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Mortgage valuation models : embedded options, risk, and uncertainty
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ISBN: 0199363684 0199363692 Year: 2014 Publisher: New York : Oxford University Press,

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Valuation of mortgage-backed securities (MBS) requires blending empirical analysis of borrower behaviour and mathematical modelling of interest rates and home prices, with recognition of various prices of risk and uncertainty. This book offers a detailed description of the sophisticated theories and advanced methods used for the real-world valuation of MBS.


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Handbuch Automotive SPICE 4. 0 : Grundlagen und Know-How Für Die Praxis.
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ISBN: 3988901431 3988901423 Year: 2024 Publisher: Heidelberg : dpunkt.verlag,

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Gröbner Bases in Symbolic Analysis

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This volume contains survey articles and original research papers, presenting the state of the art on applying the symbolic approach of Gröbner bases and related methods to differential and difference equations. The contributions are based on talks delivered at the Special Semester on Gröbner Bases and Related Methods hosted by the Johann Radon Institute of Computational and Applied Mathematics, Linz, Austria, in May 2006.

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