Skip to content

Textbook not found

Were you looking for one of these textbooks?

Read more about Elementary Differential Equations with Boundary Value Problems

Elementary Differential Equations with Boundary Value Problems

Copyright Year: 2013

Contributor: Trench

Publisher: A.T. Still University

License: CC BY-NC-SA

Elementary Differential Equations with Boundary Value Problems is written for students in science, engineering, and mathematics who have completed calculus through partial differentiation.

(9 reviews)

READ MORE

Read more about Notes on Diffy Qs: Differential Equations for Engineers

Notes on Diffy Qs: Differential Equations for Engineers

Copyright Year: 2014

Contributor: Lebl

Publisher: Jirí Lebl

License: CC BY-NC-SA

A one semester first course on differential equations, aimed at engineering students. Prerequisite for the course is the basic calculus sequence. This free online book (e-book in webspeak) should be usable as a stand-alone textbook or as a companion to a course using another book such as Edwards and Penney, Differential Equations and Boundary Value Problems: Computing and Modeling or Boyce and DiPrima, Elementary Differential Equations and Boundary Value Problems (section correspondence to these two is given). I developed and used these notes to teach Math 286/285 at the University of Illinois at Urbana-Champaign Sample Dirichlet problem solution (one is a 4-day-a-week, the other a 3-day-a-week semester-long course). I have also taught Math 20D at University of California, San Diego with these notes (a 3-day-a-week quarter-long course). There is enough material to run a 2-quarter course, and even perhaps a two semester course depending on lecturer speed.

(5 reviews)

READ MORE

Read more about Ordinary Differential Equations

Ordinary Differential Equations

Copyright Year: 2017

Contributor: Wiggins

Publisher: Stephen Wiggins

License: CC BY

This book consists of ten weeks of material given as a course on ordinary differential equations (ODEs) for second year mathematics majors at the University of Bristol. It is the first course devoted solely to differential equations that these students will take.

(1 review)

READ MORE

Read more about Applications of Maxwell's Equations

Applications of Maxwell's Equations

Copyright Year: 2004

Contributors: Cochran and Heinrich

Publisher: John F. Cochran, Bretislav Heinrich

License: CC BY

This book was developed at Simon Fraser University for an upper-level physics course. Along with a careful exposition of electricity and magnetism, it devotes a chapter to ferromagnets. According to the course description, the topics covered were “electromagnetics, magnetostatics, waves, transmission lines, wave guides,antennas, and radiating systems.”

No ratings

(0 reviews)

READ MORE

Read more about Numerical Methods for Ordinary Differential Equations

Numerical Methods for Ordinary Differential Equations

Copyright Year: 2023

Contributors: Vuik, Vermolen, and van Gijzen

Publisher: TU Delft Open

License: CC BY

In this book we discuss several numerical methods for solving ordinary differential equations. We emphasize the aspects that play an important role in practical problems. We confine ourselves to ordinary differential equations with the exception of the last chapter in which we discuss the heat equation, a parabolic partial differential equation. The techniques discussed in the intro-ductory chapters, for instance interpolation, numerical quadrature and the solution to nonlinear equations, may also be used outside the context of differential equations. They have been in-cluded to make the book self-contained as far as the numerical aspects are concerned. Chapters, sections and exercises marked with a * are not part of the Delft Institutional Package.

No ratings

(0 reviews)

READ MORE

Read more about Unmanned Vehicle Systems & Operations on Air, Sea, Land

Unmanned Vehicle Systems & Operations on Air, Sea, Land

Copyright Year: 2020

Contributors: Nichols, Mumm, Lonstein, Ryan, and Carter

Publisher: New Prairie Press

License: CC BY-NC-SA

This is our fourth textbook in a series previously covering the world of Unmanned Aircraft Systems (UAS) and Counter Unmanned Aircraft Systems (CUAS). The authors have expanded our purview beyond UAS / CUAS systems. Our title shows our concern for growth and unique operations for all unmanned vehicles in all theaters: Air, Sea and Land.

No ratings

(0 reviews)

READ MORE

Read more about Classical Numerical Methods in Scientific Computing

Classical Numerical Methods in Scientific Computing

Copyright Year: 2023

Contributors: van Kan, Segal, and Vermolen

Publisher: TU Delft Open

License: CC BY

Partial differential equations are paramount in mathematical modelling with applications in engineering and science. The book starts with a crash course on partial differential equations in order to familiarize the reader with fundamental properties such as existence, uniqueness and possibly existing maximum principles. The main topic of the book entails the description of classical numerical methods that are used to approximate the solution of partial differential equations. The focus is on discretization methods such as the finite difference, finite volume and finite element method. The manuscript also makes a short excursion to the solution of large sets of (non)linear algebraic equations that result after application of discretization method to partial differential equations. The book treats the construction of such discretization methods, as well as some error analysis, where it is noted that the error analysis for the finite element method is merely descriptive, rather than rigorous from a mathematical point of view. The last chapters focus on time integration issues for classical time-dependent partial differential equations. After reading the book, the reader should be able to derive finite element methods, to implement the methods and to judge whether the obtained approximations are consistent with the solution to the partial differential equations. The reader will also obtain these skills for the other classical discretization methods. Acquiring such fundamental knowledge will allow the reader to continue studying more advanced methods like meshfree methods, discontinuous Galerkin methods and spectral methods for the approximation of solutions to partial differential equations.

No ratings

(0 reviews)

READ MORE

Read more about Numerical Methods in Scientific Computing

Numerical Methods in Scientific Computing

Copyright Year: 2023

Contributors: van Kan, Segal, and Vermolen

Publisher: TU Delft Open

License: CC BY

This is a book about numerically solving partial differential equations occurring in technical and physical contexts and the authors have set themselves a more ambitious target than to just talk about the numerics. Their aim is to show the place of numerical solutions in the general modeling process and this must inevitably lead to considerations about modeling itself. Partial differential equations usually are a consequence of applying first principles to a technical or physical problem at hand. That means, that most of the time the physics also have to be taken into account especially for validation of the numerical solution obtained. This book aims especially at engineers and scientists who have ’real world’ problems. It will concern itself less with pesky mathematical detail. For the interested reader though, we have included sections on mathematical theory to provide the necessary mathematical background. Since this treatment had to be on the superficial side we have provided further reference to the literature where necessary.

No ratings

(0 reviews)

READ MORE

Read more about Introducing Mathematical Biology

Introducing Mathematical Biology

Copyright Year: 2023

Contributor: Best

Publisher: The University of Sheffield

License: CC BY

Mathematical modelling plays an increasingly important role in almost any area of life sciences, and this interactive textbook focuses on the areas of population ecology, infectious diseases, immunology and cell dynamics, gene networks and pharmacokinetics. It is aimed at anyone who is interested in learning about how to model biological systems, including undergraduate and postgraduate mathematics students who have not studied mathematical biology before, life-sciences students with an interest in modelling, and post-16 mathematics students interested in university-level material. Some mathematical knowledge is assumed, and the mathematical models used are all in the form of ordinary differential equations.

No ratings

(0 reviews)

READ MORE

Read more about Prealgebra via Python Programming: First Steps to Perform Large Scale Computational Tasks in the Sciences and Engineerings

Prealgebra via Python Programming: First Steps to Perform Large Scale Computational Tasks in the Sciences and Engineerings

Copyright Year: 2018

Contributor: Rojas

Publisher: Sergio Rojas

License: CC BY-NC

This book was written for students and instructors who want to learn how to use a computer for other than the most common uses, such as web browsing, document creation, or paying bills online. This book is for anyone who wants to perform computational tasks that they design. In other words, if you wish to learn how to program a computer, this book is for you.

No ratings

(0 reviews)

READ MORE