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Analysis for computer scientists : foundations, methods, and algorithms / Michael Oberguggenberger; Alexander Ostermann; Elisabeth Bradley Translator
Cham, Switzerland : Springer, 2018
372 pages. : illustrations
Ký hiệu phân loại (DDC): 004.0151
This textbook/reference presents a concise introduction to mathematical analysis from an algorithmic point of view, with a particular focus on applications of analysis and aspects of mathematical modelling. The text describes the mathematical theory alongside the basic concepts and methods of numerical analysis, enriched by computer experiments using MATLAB, Python, Maple, and Java applets. This fully updated and expanded new edition also features an even greater number of programming exercises. Topics and features : Describes the fundamental concepts in analysis, covering real and complex numbers, trigonometry, sequences and series, functions, derivatives, integrals, and curves; Discusses important applications and advanced topics, such as fractals and L-systems, numerical integration, linear regression, and differential equations; Presents tools from vector and matrix algebra in the appendices, together with further information on continuity; Includes added material on hyperbolic functions, curves and surfaces in space, second-order differential equations, and the pendulum equation (NEW); Contains experiments, exercises, definitions, and propositions throughout the text; Supplies programming examples in Python, in addition to MATLAB (NEW); Provides supplementary resources at an associated website, including Java applets, code source files, and links to interactive online learning material.
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Applied Analysis and Differential Equations : Iași, România, 4-9 September 2006 / Ovidiu Cârjă, I. I. Vrabie
Singapore : World Scientific, 2007.
xii, 351 pages. : illustrations ; 24 cm.
Ký hiệu phân loại (DDC): 515
This volume contains research articles presented by experts in the fields of applied analysis, differential equations, and related topics. World-renowned leading mathematicians and prominent young scientists cover a wide variety of topics, including the most exciting recent developments. A wide range of topics of recent interest are dealt with: existence, uniqueness, viability, asymptotic stability, solution viscosity, controllability and numerical analysis for ODE, PDE and random equations.
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Boundary values and convolution in ultradistribution spaces / Richard D. Carmichael, Andrzej Kamiński, Stevan Pilipović
Singapore : World Scientific, 2007.
xii, 217 pages. ; 24 cm.
Ký hiệu phân loại (DDC): 515.782
This book provides the construction and characterization of important ultradistribution spaces and studies properties and calculations of ultradistributions such as boundedness and convolution. Integral transforms of ultradistributions are constructed and analyzed. The general theory of the representation of ultradistributions as boundary values of analytic functions is obtained and the recovery of the analytic functions as Cauchy, Fourier-Laplace, and Poisson integrals associated with the boundary value is proved.
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