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Downloads
Views
Date
Relevance
Free Online Textbook
115
views
47
downloads
0
comments
1991-Carmine_Chicone-Ordinary Differential Equations with Applications
This is a complete text for a graduate level course. Hence there is much theory, but there is a chapter on applications with some sophisticated approaches and high level modeling of motion.
orbits
two mass system
atom
magnetic field
coupled pendulum
inverted pendulum
charged particle
Kepler motion
Free Online Textbook
132
views
65
downloads
0
comments
2009-Eriksson- Estep-Hansho-Johnson-Computational Differential Equations
Differential Equations and Advanced Computational Differential Equations, presents a unified approach to computational mathematical modeling using differential equations based on a principle of a fusion of mathematics and computation.
Galerkin
Free Online Textbook
144
views
57
downloads
0
comments
2016-Langtangen-Pedersen - Scaling of Differential Equations
Nowadays, the greatest practical benefit of scaling is related to running numerical simulations, since scaling greatly simplifies the choice of values for the input data and makes the simulations results more widely applicable.
scaling
dimensionless
continuum mechanics
Free Online Textbook
193
views
64
downloads
0
comments
2016-Rob_deBoer-Population Dynamics A Graphical Approach
This book is an introduction into modeling population dynamics in ecology. Because there are several good textbooks on this subject, the book needs a novel ecological niche to justify its existence.
mathematical model
stability
competition
SIR
bifurcation
consumption
population population dynamics
general replication
nonlinear density dependencies
functional response
persistence
phase plan analysis
Free Online Textbook
439
views
88
downloads
0
comments
2012-Brian_Ingalls-Mathematical Modelling in Systems Biology An Introduction
This is a comprehensive text with much biology background to motivate the mathematical modeling, exercises and answers, and many rich examples.
spatial
sensitivity analysis
gene regulatory networks
stochastic
bifurcation
metabolic networks
electrophysiology
transduction
rate laws
biochemical reactions
Free Online Textbook
170
views
45
downloads
0
comments
2012-Vivek_Patel-Chemical Kinetics
The book is designed to help the reader, particularly students, researchers, research scholars, scientists, chemists and industry fraternity of chemistry and allied fields; understand the mechanics and reactions rates.
kinetics
chemistry
reaction
Free Online Textbook
147
views
52
downloads
0
comments
2017-Craig_Tracy-Lectures on Differential Equations
These notes are for a one-quarter course in differential equations. The approach is to tie the study of differential equations to specific applications in physics with an emphasis on oscillatory systems.
physics
oscillation
Free Online Textbook
124
views
56
downloads
0
comments
2015-H_Sayama-Intro to Modeling and Analysis of Complex Systems
Introduces students to mathematical/computational modeling and analysis developed in the emerging interdisciplinary field of Complex Systems Science.
textbook
text
Free Online Textbook
141
views
51
downloads
0
comments
2014-Andre_De Ross-Modeling Population Dynamics
This course is intended as an introduction to the formulation, analysis and application of mathematical models that describe the dynamics of biological populations.
predator-prey
competition
population
growth
bifrucation
text
Free Online Textbook
113
views
51
downloads
0
comments
2015-Dan_Sloughte-Notes on Diffy Qs Differential Equations for Engineers
This is a calculus book with the last chapter devoted to ordinary differential equations topics. The effort begins with a study of numerical methods and goes through traditional technique strategies.
Numerical Methods
pendulum
text
Free Online Textbook
134
views
47
downloads
0
comments
2012-Brian_Ingalls-Mathematical_Modelling_in_Systems_Biology
This text provides an introduction to dynamic mathematical modeling of cellular processes. The emphasis is on using computational tools to investigate models of cellular phenomena.
biology
gene regulatory networks
Models
metabolic networks
signal transduction pathways
electrophysiology
Free Online Textbook
172
views
51
downloads
0
comments
2016-Simon_Malham-Differential_Equations_and_Linear_Algebra
This is a nice set of notes on which a course can be based. There is ample material on first and second order, linear systems, and Laplace Transform methods for setting up and solving differential equations.
textbook
linear algebra
Laplace transform
Free Online Textbook
1426
views
182
downloads
0
comments
2011-Steven_Desjardins-Remi_Vaillancourt-Ordinary_Differential_Equations_Laplace_Transforms_and_Numerical_Methods_for_Engineers
This text is packed with worked out presentations, problems, and exercises (with solutions) and MatLab code. There is sufficient detail and attention to topics to more than address interests/needs in an introductory course.
modeling
textbook
matlab
engineering
Laplace transform
Free Online Textbook
199
views
51
downloads
0
comments
2017-Andrew_Lewis-Introduction_to_Differential_Equations_for_Smart_Kids
The author addresses the question, "If I do not teach all of the usual techniques and tricks for solving differential equations, what do I replace it with?" in a number of wonderful ways.
differential equations
modeling
textbook
Free Online Textbook
216
views
69
downloads
0
comments
2011-Richard_Fitzpatrick-Newtonian_Dynamics
This 300 page text is packed with motivational physics. Indeed, Professor Fitzpatrick brings us to the origins of why differential equations are the dominant tools of mathematics in the study of motion.
modeling
textbook
physics
bifurcation
Free Online Textbook
244
views
86
downloads
0
comments
2017-Thomas_Judson-The_Ordinary_Differential_Equations_Project
This text is intended for a one-semester undergraduate course in ordinary differential equations. There are additional exercises or computer projects at the ends of many of the chapters.
projects
mathematical model
textbook
techniques
free
proofs
sage
Theory
Free Online Textbook
168
views
54
downloads
0
comments
2018-Mohammed_Kaabar-A_Friendly_Introduction_to_Differential_Equations
In this book, there are five chapters: Laplace Transform, Systems of Homogeneous Linear Differential Equations, Methods of First and Higher Orders DEs, Extended Methods of First and Higher Orders DEs, and Applications of DEs.
textbook
ordinary differential equations
Free Online Textbook
129
views
79
downloads
0
comments
2017-Russell+Herman-A_First_Course_in_Differential_Equations_for_Scientists_and_Engineers
This is a self-published text book with excellent coverage and solid mathematics and theory to support applications.
textbook
engineering
applications
Free Online Textbook
201
views
46
downloads
0
comments
2016-I-Liang_Chern-Mathematical Modeling_and_Ordinary_Differential_Equations
We let the author's Table of Contents speak for itself.
differential equations
modeling
textbook
Free Online Textbook
387
views
101
downloads
0
comments
2015-Eric_Sullivan-Numerical Methods_An_Inquiry-Based_Approach_with_Python
This is an OER effort on the part of Eric Sullivan to explore the joy of numerical methods. He has provided several versions.
python
numerical analysis
Numerical Methods
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