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#### Introductory Differential Equations

Elsevier Science 2010; US$ 9.99This text is for courses that are typically called (Introductory) Differential Equations, (Introductory) Partial Differential Equations, Applied Mathematics, and Fourier Series. Differential Equations is a text that follows a traditional approach and is appropriate for a first course in ordinary differential equations (including Laplace transforms)... more...

#### A Modern Introduction to Differential Equations

Elsevier Science 2009; US$ 155.00A Modern Introduction to Differential Equations, Second Edition, provides an introduction to the basic concepts of differential equations. The book begins by introducing the basic concepts of differential equations, focusing on the analytical, graphical, and numerical aspects of first-order equations, including slope fields and phase lines. The... more...

#### Numerical Solution of Ordinary Differential Equations

Wiley 2011; US$ 122.00 US$ 105.73A concise introduction to numerical methodsand the mathematical framework neededto understand their performance Numerical Solution of Ordinary Differential Equations presents a complete and easy-to-follow introduction to classical topics in the numerical solution of ordinary differential equations. The book's approach not only explains the presented... more...

#### Inverse and Ill-posed Problems

De Gruyter 2011; US$ 182.00The theory of ill-posed problems originated in an unusual way. As a rule, a new concept is a subject in which its creator takes a keen interest. The concept of ill-posed problems was introduced by Hadamard with the comment that these problems are physically meaningless and not worthy of the attention of serious researchers. Despite Hadamard's... more...

#### Approximation and Optimization of Discrete and Differential Inclusions

Elsevier Science 2011; US$ 150.00Optimal control theory has numerous applications in both science and engineering. This book presents basic concepts and principles of mathematical programming in terms of set-valued analysis and develops a comprehensive optimality theory of problems described by ordinary and partial differential inclusions. In addition to including well-recognized... more...

#### The Stokes Phenomenon, Borel Summation and Mellin-Barnes Regularisation

Bentham Science Publishers 2009; US$ 74.00The Stokes phenomenon refers to the emergence of jump discontinuities in asymptotic expansions at specific rays in the complex plane. This book presents a radical theory for the phenomenon by introducing the concept of regularization. Two methods of regularization, Borel summation and Mellin-Barnes regularization, are used to derive general expressions... more...

#### Mathematical Aspects of Discontinuous Galerkin Methods

Springer Berlin Heidelberg 2011; US$ 86.88This book introduces the basic ideas to build discontinuous Galerkin methods and, at the same time, incorporates several recent mathematical developments. The presentation is to a large extent self-contained and is intended for graduate students and researchers in numerical analysis. The material covers a wide range of model problems, both steady and... more...

#### Differential Equations

Cambridge University Press 1990; US$ 46.00This book provides an introduction to the theory and application of the solution of differential equations using symmetries, a technique of great value in mathematics and the physical sciences. In many branches of physics, mathematics, and engineering, solving a problem means a set of ordinary or partial differential equations. Nearly all methods of... more...

#### Painlevé Equations and Related Topics

De Gruyter 2012; US$ 210.00This is a proceedings of the international conference "Painlevé Equations and Related Topics" which was taking place at the Euler International Mathematical Institute, a branch of the Saint Petersburg Department of the Steklov Institute of Mathematics of the Russian Academy of Sciences, in Saint Petersburg on June 17 to 23, 2011. The... more...

#### Generalized Ordinary Differential Equations

World Scientific Publishing Company 2012; US$ 68.00 US$ 61.88This book provides a systematic treatment of the Volterra integral equation by means of a modern integration theory which extends considerably the field of differential equations. It contains many new concepts and results in the framework of a unifying theory. In particular, this new approach is suitable in situations where fast oscillations occur. more...