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  • An Introduction to Linear Ordinary Differential Equations Using the Impulsive Response Method and Factorization

    Series series PoliTO Springer Series
    This book presents a method for solving linear ordinary differential equations based on the factorization of the differential operator. The approach for the case of constant coefficients is elementary, and only requires a basic knowledge of calculus and linear algebra. In particular, the book avoids the use of distribution theory, as well as the other more advanced approaches: Laplace transform, ... Leer más

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  • Introduction to Tensor Analysis and the Calculus of Moving Surfaces

    Series series Mathematics and Statistics (R0)
    This textbook is distinguished from other texts on the subject by the depth of the presentation and the discussion of the calculus of moving surfaces, which is an extension of tensor calculus to deforming manifolds.Designed for advanced undergraduate and graduate students, this text invites its audience to take a fresh look at previously learned material through the prism of tensor calculus. Once ... Leer más

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  • Elliptic Functions - An Elementary Text-Book for Students of Mathematics

    de Arthur Baker ...
    The first step taken in the theory of Elliptic Functions was the determination of a relation between the amplitudes of three functions of either order, such that there should exist an algebraic relation between the three functions themselves of which these were the amplitudes. It is one of the most remarkable discoveries which science owes to Euler.In 1761 he gave to the world the complete ... Leer más

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  • Variational Analysis and Aerospace Engineering

    Mathematical Challenges for the Aerospace of the Future

    Series series Mathematics and Statistics (R0)
    This book presents papers surrounding the extensive discussions that took place from the ‘Variational Analysis and Aerospace Engineering’ workshop held at the Ettore Majorana Foundation and Centre for Scientific Culture in 2015. Contributions to this volume focus on advanced mathematical methods in aerospace engineering and industrial engineering such as computational fluid dynamics methods, ... Leer más

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  • Modern Stochastics and Applications

    Series series Mathematics and Statistics (R0)
    This volume presents an extensive overview of all major modern trends in applications of probability and stochastic analysis. It will be a great source of inspiration for designing new algorithms, modeling procedures and experiments. Accessible to researchers, practitioners, as well as graduate and postgraduate students, this volume presents a variety of new tools, ideas and methodologies in the ... Leer más

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  • Classical Summability Theory

    Series series Mathematics and Statistics (R0)
    This book presents results about certain summability methods, such as the Abel method, the Norlund method, the Weighted mean method, the Euler method and the Natarajan method, which have not appeared in many standard books. It proves a few results on the Cauchy multiplication of certain summable series and some product theorems. It also proves a number of Steinhaus type theorems. In addition, it ... Leer más

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  • State Space Consistency and Differentiability

    Series series Mathematics and Statistics (R0)
    By investigating the properties of the natural state, this book presents an analysis of input-output systems with regard to the mathematical concept of state. The state of a system condenses the effects of past inputs to the system in a useful manner. This monograph emphasizes two main properties of the natural state; the first has to do with the possibility of determining the input-output system ... Leer más

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  • Computational Mathematics, Numerical Analysis and Applications

    Lecture Notes of the XVII 'Jacques-Louis Lions' Spanish-French School

    Edición de Mariano Mateos, Pedro Alonso ...
    Series series Mathematics and Statistics (R0)
    The first part of this volume gathers the lecture notes of the courses of the “XVII Escuela Hispano-Francesa”, held in Gijón, Spain, in June 2016. Each chapter is devoted to an advanced topic and presents state-of-the-art research in a didactic and self-contained way. Young researchers will find a complete guide to beginning advanced work in fields such as High Performance Computing, Numerical ... Leer más

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  • A Polynomial Approach to Linear Algebra

    Series series Mathematics and Statistics (R0)
    A Polynomial Approach to Linear Algebra is a text which is heavily biased towards functional methods. In using the shift operator as a central object, it makes linear algebra a perfect introduction to other areas of mathematics, operator theory in particular. This technique is very powerful as becomes clear from the analysis of canonical forms (Frobenius, Jordan). It should be emphasized that ... Leer más

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  • Hasse-Schmidt Derivations on Grassmann Algebras

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    Series series Mathematics and Statistics (R0)
    This book provides a comprehensive advanced multi-linear algebra course based on the concept of Hasse-Schmidt derivations on a Grassmann algebra (an analogue of the Taylor expansion for real-valued functions), and shows how this notion provides a natural framework for many ostensibly unrelated subjects: traces of an endomorphism and the Cayley-Hamilton theorem, generic linear ODEs and their ... Leer más

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  • Lie Groups, Differential Equations, and Geometry

    Advances and Surveys

    Edición de Giovanni Falcone ...
    Series series UNIPA Springer Series
    This book collects a series of contributions addressing the various contexts in which the theory of Lie groups is applied. A preliminary chapter serves the reader both as a basic reference source and as an ongoing thread that runs through the subsequent chapters. From representation theory and Gerstenhaber algebras to control theory, from differential equations to Finsler geometry and Lepage ... Leer más

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  • Discrete Dynamical Models

    Series series Mathematics and Statistics (R0)
    This book provides an introduction to the analysis of discrete dynamical systems. The content is presented by an unitary approach that blends the perspective of mathematical modeling together with the ones of several discipline as Mathematical Analysis, Linear Algebra, Numerical Analysis, Systems Theory and Probability. After a preliminary discussion of several models, the main tools for the study ... Leer más

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