A textbook on Ordinary Differential Equations

A textbook on Ordinary Differential Equations

Author: Shair Ahmad

Publisher: Springer

ISBN: 9783319021294

Category: Mathematics

Page: 312

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The book is a primer of the theory of Ordinary Differential Equations. Each chapter is completed by a broad set of exercises; the reader will also find a set of solutions of selected exercises. The book contains many interesting examples as well (like the equations for the electric circuits, the pendulum equation, the logistic equation, the Lotka-Volterra system, and many other) which introduce the reader to some interesting aspects of the theory and its applications. The work is mainly addressed to students of Mathematics, Physics, Engineering, Statistics, Computer Sciences, with knowledge of Calculus and Linear Algebra, and contains more advanced topics for further developments, such as Laplace transform; Stability theory and existence of solutions to Boundary Value problems. A complete Solutions Manual, containing solutions to all the exercises published in the book, is available. Instructors who wish to adopt the book may request the manual by writing directly to one of the authors.
A textbook on Ordinary Differential Equations
Language: en
Pages: 312
Authors: Shair Ahmad, Antonio Ambrosetti
Categories: Mathematics
Type: BOOK - Published: 2014-05-23 - Publisher: Springer

The book is a primer of the theory of Ordinary Differential Equations. Each chapter is completed by a broad set of exercises; the reader will also find a set of solutions of selected exercises. The book contains many interesting examples as well (like the equations for the electric circuits, the
A Textbook on Ordinary Differential Equations
Language: en
Pages: 331
Authors: Shair Ahmad, Antonio Ambrosetti
Categories: Mathematics
Type: BOOK - Published: 2015-06-05 - Publisher: Springer

This book offers readers a primer on the theory and applications of Ordinary Differential Equations. The style used is simple, yet thorough and rigorous. Each chapter ends with a broad set of exercises that range from the routine to the more challenging and thought-provoking. Solutions to selected exercises can be
Numerical Analysis of Ordinary and Delay Differential Equations
Language: en
Pages: 0
Authors: Taketomo Mitsui, Guang-Da Hu
Categories: Mathematics
Type: BOOK - Published: 2023-04-20 - Publisher: Springer

This book serves as a concise textbook for students in an advanced undergraduate or first-year graduate course in various disciplines such as applied mathematics, control, and engineering, who want to understand the modern standard of numerical methods of ordinary and delay differential equations. Experts in the same fields can also
From Ordinary to Partial Differential Equations
Language: en
Pages: 432
Authors: Giampiero Esposito
Categories: Mathematics
Type: BOOK - Published: 2017-06-23 - Publisher: Springer

This book is addressed to mathematics and physics students who want to develop an interdisciplinary view of mathematics, from the age of Riemann, Poincaré and Darboux to basic tools of modern mathematics. It enables them to acquire the sensibility necessary for the formulation and solution of difficult problems, with an
Reduced Basis Methods for Partial Differential Equations
Language: en
Pages: 296
Authors: Alfio Quarteroni, Andrea Manzoni, Federico Negri
Categories: Mathematics
Type: BOOK - Published: 2015-08-19 - Publisher: Springer

This book provides a basic introduction to reduced basis (RB) methods for problems involving the repeated solution of partial differential equations (PDEs) arising from engineering and applied sciences, such as PDEs depending on several parameters and PDE-constrained optimization. The book presents a general mathematical formulation of RB methods, analyzes their