Arieh Iserles, "A First Course in the Numerical Analysis of Differential Equations (Cambridge Texts in Applied Mathematics)"
Cambridge University Press | English | 1996-01-26 | ISBN: 0521556554 | 393 pages | DJVU | 3.83 mbThis book presents a rigorous account of the fundamentals of numerical analysis of both ordinary and partial differential equations. The point of departure is mathematical but the exposition strives to maintain a balance among theoretical, algorithmic and applied aspects of the subject. In detail, topics covered include numerical solution of ordinary differential equations by multistep and Runge-Kutta methods; finite difference and finite elements techniques for the Poisson equation; a variety of algorithms to solve large, sparse algebraic
A First Course in Differential Equations (Second edition) by J. David Logan English | 2010-09-28 | ISBN: 1441975918 | 386 pages | PDF | 2,4 MB While the standard sophomore course on elementary differential equations is typically one semester in length, most of the texts currently being used for these courses have evolved into calculus-like presentations that include a large collection of methods and applications, packaged with state-of-the-art color graphics, student solution manuals, the latest fonts, marginal notes, and web-based supplements.
A Very Applied First Course in Partial Differential Equations by Michael K. Keane
English | 2001 | ISBN: 0130304174 | ISBN-13: 9780130304179 | 507 pages | PDF | 5,6 MB
This extremely readable book illustrates how mathematics applies directly to different fields of study. Focuses on problems that require physical to mathematical translations, by showing readers how equations have actual meaning in the real world. Covers fourier integrals, and transform methods, classical PDE problems, the Sturm-Liouville Eigenvalue problem, and much more. For readers interested in partial differential equations.
Partial Differential Equations in Action: From Modelling to Theory (2nd edition) By Sandro Salsa 2015 | 697 Pages | ISBN: 3319150928 | PDF | 7 MB The book is intended as an advanced undergraduate or first-year graduate course for students from various disciplines, including applied mathematics, physics and engineering. It has evolved from courses offered on partial differential equations (PDEs) over the last several years at the Politecnico di Milano.
William E. Boyce, "Elementary Differential Equations and Boundary Value Problems"
ISBN: 0471319996 | edition 2000 | PDF | 1310 pages | 36 mb
Written primarily for undergraduate students of mathematics, science, or engineering, who typically take a course on differential equations during their first or second year. The main prerequisite is a working knowledge of calculus.
Erhan Cinlar, Robert J. Vanderbei - Real and Convex Analysis
Published: 2013-01-03 | ISBN: 1461452562 | PDF | 170 pages | 3 MB
This book offers a first course in analysis for scientists and engineers. It can be used at the advanced undergraduate level or as part of the curriculum in a graduate program. The book is built around metric spaces. In the first three chapters, the authors lay the foundational material and cover the all-important �four-C�s�: convergence, completeness, compactness, and continuity. In subsequent chapters, the basic tools of analysis are used to give brief introductions to differential and integral equations, convex analysis, and measure theory.