Books

17 results found
Title Authors Description OpenBook ID
The monodromy group The monodromy group Henryk Żołądek In singularity theory and algebraic geometry the monodromy group is embodied in the Picard-Lefschetz formula and the Picard-Fuchs equations. It has applications in the weakened 16th Hilbert problem a… OL12089539W
Differential Equations, Dynamical Systems, and Linear Algebra Differential Equations, Dynamical Systems, and Linear Algebra Stephen Smale,Morris W. Hirsch This book is about dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics. A prominent role is played by the stru… OL1694306W
Almost Automorphic and Almost Periodic Functions in Abstract Spaces Almost Automorphic and Almost Periodic Functions in Abstract Spaces Gaston M. N'Guerekata Almost Automorphic and Almost Periodic Functions in Abstract Spaces introduces and develops the theory of almost automorphic vector-valued functions in Bochner's sense and the study of almost periodi… OL19825773W
Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations Valery V. Kozlov <p>The book is dedicated to the construction of particular solutions of systems of ordinary differential equations in the form of series that are analogous to those used in Lyapunov’s first method. A… OL19828521W
The Implicit Function Theorem The Implicit Function Theorem Steven G. Krantz <p>The implicit function theorem is part of the bedrock of mathematical analysis and geometry. Finding its genesis in eighteenth century studies of real analytic functions and mechanics, the implicit… OL19857023W
Introduction to Perturbation Methods Introduction to Perturbation Methods Mark H. Holmes <p>This introductory graduate text is based on a graduate course the author has taught repeatedly over the last twenty or so years to students in applied mathematics, engineering sciences, and physic… OL19859166W
Introduction to Stokes Structures Introduction to Stokes Structures Claude Sabbah This research monograph provides a geometric description of holonomic differential systems in one or more variables. Stokes matrices form the extended monodromy data for a linear differential equatio… OL19859256W
Jordan canonical form Jordan canonical form Steven H. Weintraub Jordan Canonical Form ( JCF) is one of the most important, and useful, concepts in linear algebra. In this book we develop JCF and show how to apply it to solving systems of differential equations. W… OL19878374W
Linear Integral Equations Linear Integral Equations Ram P. Kanwal <p>Many physical problems that are usually solved by differential equation methods can be solved more effectively by integral equation methods. Such problems abound in applied mathematics, theoretica… OL19884169W
Lyapunov Functionals and Stability of Stochastic Functional Differential Equations Lyapunov Functionals and Stability of Stochastic Functional Differential Equations Leonid Shaikhet Stability conditions for functional differential equations can be obtained using Lyapunov functionals. Lyapunov Functionals and Stability of Stochastic Functional Differential Equations describes the… OL19884918W
Nonlinear Analysis, Differential Equations and Control Nonlinear Analysis, Differential Equations and Control F. H. Clarke This book summarizes very recent developments - both applied and theoretical - in nonlinear and nonsmooth mathematics. The topics range from the highly theoretical (e.g. infinitesimal nonsmooth calcu… OL19891008W
Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations Ravi P. Agarwal In this monograph, the authors present a compact, thorough, systematic, and self-contained oscillation theory for linear, half-linear, superlinear, and sublinear second-order ordinary differential eq… OL19893036W
Progress in Partial Differential Equations Progress in Partial Differential Equations Michael Reissig Progress in Partial Differential Equations is devoted to modern topics in the theory of partial differential equations. It consists of both original articles and survey papers covering a wide scope o… OL19897359W
Stochastic World Stochastic World Sergey S. Stepanov This book is an introduction into stochastic processes for physicists, biologists and financial analysts. Using an informal approach, all the necessary mathematical tools and techniques are covered, … OL19904206W
Surveys in Differential-Algebraic Equations I Surveys in Differential-Algebraic Equations I Achim Ilchmann The need for a rigorous mathematical theory for Differential-Algebraic Equations (DAEs) has its roots in the widespread applications of controlled dynamical systems, especially in mechanical and elec… OL19905120W
Advanced ordinary differential equations Advanced ordinary differential equations Athanassios G. Kartsatos xi, 266 p. ; 25 cm OL3915491W
Functional analysis in normed spaces Functional analysis in normed spaces L. V. Kantorovich,G. P. Akilov A general study of functional equations in normed spaces is made in this book, with special emphasis on approximative methods of solution. The subject is covered in two parts; the first is notable fo… OL888289W