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Author: Enrique Fernandez-cara
Publisher: World Scientific
ISBN: 1800613954
Category : Mathematics
Languages : en
Pages : 350
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Book Description
Differential equations can bring mathematics to life, describing phenomena originating in physics, chemistry, biology, economics, and more. Used by scientists and engineers alike, differential equations are also the starting point of much purely mathematical activity. They also play a role in the formulation and resolution of problems in harmonic analysis, differential geometry, and probability calculus. A large part of functional analysis has therefore been motivated by the need to solve questions in the analysis of differential systems, as with numerical analysis.Differential equations are doubly relevant, then: as significant in many areas of mathematics, and as important machinery for applying mathematics to real-world problems. This book therefore aims to provide a rigorous introduction to the theoretical study of differential equations, and to demonstrate their utility with applications in many fields.Ordinary Differential Equations and Applications originates from several courses given by the author for decades at the University of Seville. It aims to bring together rigorous mathematical theory and the rich variety of applications for differential equations. The book examines many aspects of differential equations: their existence, uniqueness, and regularity, alongside their continuous dependence on data and parameters. Delving into permanent interpretation of the laws of differential equations, we also look at the role of data and how their solutions behave. Each chapter finishes with a collection of exercises, many of which also contain useful hints.
Author: Enrique Fernandez-cara
Publisher: World Scientific
ISBN: 1800613954
Category : Mathematics
Languages : en
Pages : 350
Get Book Here
Book Description
Differential equations can bring mathematics to life, describing phenomena originating in physics, chemistry, biology, economics, and more. Used by scientists and engineers alike, differential equations are also the starting point of much purely mathematical activity. They also play a role in the formulation and resolution of problems in harmonic analysis, differential geometry, and probability calculus. A large part of functional analysis has therefore been motivated by the need to solve questions in the analysis of differential systems, as with numerical analysis.Differential equations are doubly relevant, then: as significant in many areas of mathematics, and as important machinery for applying mathematics to real-world problems. This book therefore aims to provide a rigorous introduction to the theoretical study of differential equations, and to demonstrate their utility with applications in many fields.Ordinary Differential Equations and Applications originates from several courses given by the author for decades at the University of Seville. It aims to bring together rigorous mathematical theory and the rich variety of applications for differential equations. The book examines many aspects of differential equations: their existence, uniqueness, and regularity, alongside their continuous dependence on data and parameters. Delving into permanent interpretation of the laws of differential equations, we also look at the role of data and how their solutions behave. Each chapter finishes with a collection of exercises, many of which also contain useful hints.
Author: Angel de la Fuente
Publisher: Cambridge University Press
ISBN: 1139643339
Category : Business & Economics
Languages : en
Pages : 630
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Book Description
This book is intended as a textbook for a first-year PhD course in mathematics for economists and as a reference for graduate students in economics. It provides a self-contained, rigorous treatment of most of the concepts and techniques required to follow the standard first-year theory sequence in micro and macroeconomics. The topics covered include an introduction to analysis in metric spaces, differential calculus, comparative statics, convexity, static optimization, dynamical systems and dynamic optimization. The book includes a large number of applications to standard economic models and over two hundred fully worked-out problems.
Author: Julián López-Gómez
Publisher: Springer Science & Business Media
ISBN: 376438400X
Category : Mathematics
Languages : en
Pages : 324
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Book Description
This book brings together all available results about the theory of algebraic multiplicities. It first offers a classic course on finite-dimensional spectral theory and then presents the most general results available about the existence and uniqueness of algebraic multiplicities for real non-analytic operator matrices and families. Coverage next transfers these results from linear to nonlinear analysis.
Author:
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Category : Nuclear energy
Languages : en
Pages : 464
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Book Description
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Category : Mathematical statistics
Languages : en
Pages : 520
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Book Description
Author:
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ISBN:
Category : Mathematics
Languages : en
Pages : 584
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Book Description
Author:
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Category : Nuclear energy
Languages : en
Pages : 464
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Book Description
Author: M. V. Velasco
Publisher: World Scientific
ISBN: 981256652X
Category : Mathematics
Languages : en
Pages : 227
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Book Description
This volume comprises a collection of articles by leading researchers in mathematical analysis. It provides the reader with an extensive overview of new directions and advances in topics for current and future research in the field. Contents: Lineable and Spaceable Properties (R M Aron); Alexander Grothendieck's Work on Functional Analysis (F Bombal); Maximal Functions in Fourier Analysis (J Duoandikoetxea); Hypercyclic Operators: Some Recent Progress (G Godefroy); On the Hahn-Banach Theorem (L Narici); Lipschitz Quotient Maps Between Banach Spaces (W B Johnson); Approximation Algorithms in Banach Spaces (N Kalton); Spectral Properties of Cesa'ro-Like Operators (M M Neumann); Some Ideas on Mathematical Training Concerning Mathematical Analysis (B Rubio); Interpolation and Sampling (K Seip); Classes of Indefinitely Differentiable Functions (M Valdivia); Classical Potential Theory and Analytic Capacity (J Verdera); Best Approximations on Small Regions: A General Approach (F Zo & H H Cuenya). Readership: Mathematicians in analysis and differential equations and approximation theory.
Author: Kenneth Allen Hornak
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 954
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Book Description
exhaustive, specialized English-Spanish / Spanish-English dictionary covering all aspects of mathematics: applied mathematics, pure mathematics, statistics, algebra, arithmetic, geometry, trigonometry, calculus, topology, probability, game theory, economic mathematics, mathematical logic - includes real-life example sentences illustrating the contextual environment of the entry
Author: Gene F. Franklin
Publisher: Prentice Hall
ISBN: 9780201331530
Category : Control theory
Languages : en
Pages : 742
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Book Description
This work discusses the use of digital computers in the real-time control of dynamic systems using both classical and modern control methods. Two new chapters offer a review of feedback control systems and an overview of digital control systems. MATLAB statements and problems have been more thoroughly and carefully integrated throughout the text to offer students a more complete design picture.
