Partial Differential Equations

Partial differential equations form tools for modelling, predicting and understanding our world. Join Dr Chris Tisdell as he demystifies these equations through this eBook and YouTube videos.

A Refresher Course in Mathematics

The book refreshes the main subjects from mathematics taught in school. Many worked examples support the student at the beginning of a university study in acquiring the required mathematical skills.

Mathematics Fundamentals

This book is an introduction to basic mathematics and is intended for students who need to reach the minimum level of mathematics required for their sciences, engineering and business studies.

Engineering Mathematics: YouTube Workbook

The ebook "Engineering Mathematics: YouTube Workbook” takes learning to a new level by combining free written lessons with free online video tutorials.

Introduction to Complex Numbers

This ebook makes learning "complex" numbers easy through an interactive, fun and personalized approach. Features include: live YouTube video streams and closed captions that translate to 90 languages!

Global Analysis

In this book you find the basic mathematics that is needed by engineers and university students .

Integral Operators

In this book you find the basic mathematics that is needed by engineers and university students .

My Horror Chamber

Some mathematicians including the author of this book believe that counterexamples will guide the reader towards a better understanding of the underlying theory.

Essential Mathematics for Engineers

This book is written for engineers and students and covers a range of mathematics from school to university. The first chapter is a summary so students can quickly see where further study is needed.

Stability of Weakly Connected Nonlinear Systems

The book consists of five chapters in which the mathematical foundations of the analysis of the stability of systems with a small parameter are given as well as methods of their investigation.

Integration and differential equations

The material in this text (Part I) introduces and develops the standard techniques of elementary integration and, in some cases, takes the ideas a little further.

Elementary Algebra Exercise Book I

Algebra is one of the main branches in mathematics. The book series of elementary algebra exercises includes useful problems in most topics in basic algebra.

Intermediate Maths for Chemists

Chemistry Maths 2 teaches Maths from a “chemical” perspective and is the second of a three part series of texts taken during a first-year university course.

Discrete Dynamical Systems

This book covers topics like stability, hyperbolicity, bifurcation theory and chaos, which are essential in order to understand the fascinating behavior of nonlinear discrete dynamical systems.

Advanced Maths for Chemists

This book teaches Maths from a “chemical” perspective and is the third of a three-part series of texts designed for a first-year university course.

Introduction to Vectors

This book takes learning to a new level by combining written notes with online video. Each lesson is linked with a YouTube video from award-winning teacher and best-selling author Dr Chris Tisdell.

Stability Theory of Large-Scale Dynamical Systems

This book focuses on some problems of stability theory of nonlinear large-scale systems.

Applied Mathematics by Example: Theory

Mathematics is an exceptionally useful subject, having numerous applications in business, computing, engineering and medicine to name but a few.

Fibonacci Numbers and the Golden Ratio

This book consists of the lecture notes, problems and solutions from the Coursera course “Fibonacci numbers and the golden ratio.” Links are provided to the videos used in the course.

Topological and Metric Spaces, Banach Spaces...

In this book you find the basic mathematics that is needed by engineers and university students .

Introductory Finite Volume Methods for PDEs

This book will be useful to scientists and engineers who want a simple introduction to the finite volume method.

Differential Equations with YouTube Examples

This book, together with the linked YouTube videos, reviews a first course on differential equations.

Matrix Methods and Differential Equations

This book is aimed at students who encounter mathematical models in other disciplines.

Mathematical Modeling I - preliminary

Mathematical modeling is the most effective bridge connecting mathematics and many disciplines such as physics, biology, computer science, engineering, and social sciences.

Introductory Maths for Chemists

Chemistry Maths 1 teaches Maths from a “chemical” perspective and is the first of a three part series of texts taken during a first-year university course.

An introduction to partial differential equations

Most descriptions of physical systems, as used in physics, engineering and, above all, in applied mathematics, are in terms of partial differential equations.

Partial differential equations and operators

In this book, which is basically self-contained, we concentrate on partial differential equations in mathematical physics and on operator semigroups with their generators.

Partial differential equations and operators

In this book, which is basically self-contained, we concentrate on partial differential equations in mathematical physics and on operator semigroups with their generators.

Quantitative Analysis

Quantitative Analysis is written by an experienced mathematics teacher, this e-book is presented in tutorial fashion as if a tutor was sitting next to you . . . talking you through the examples.

Stability Analysis via Matrix Functions Method

The monograph presents a generalization of the well-known Lyapunov function method and related concepts to the matrix function case within systematic stability analysis of dynamical systems.

Essential Engineering Mathematics

Essential Engineering Mathematics is one of the great eBooks available to download.

Introductory Finite Difference Methods for PDEs

This book presents finite difference methods for solving partial differential equations (PDEs) and also general concepts like stability, boundary conditions etc.

Problems, Theory and Solutions in Linear Algebra

This book is the first part of a three-part series titled Problems, Theory and Solutions in Linear Algebra. This first part contains over 100 solved problems and 100 exercises.

A Short Course in Predicate Logic

Based on a one semester final year course the intention of this book is to provide a considerate yet rigorous introduction to the Predicate Calculus and the fundamental issues it aims to address.

Advanced Topics In Introductory Probability

This textbook contains the extension of univariate random variable to multivariate random variables with emphasis on Bivariate Distributions.

Ordinary differential equations of first order

The present book describes the state-of-art in the middle of the 20th century, concerning first order differential equations of known solution formulæ.

Second-order ordinary differential equations

This text provides an introduction to all the relevant material normally encountered at university level. Numerous worked examples are provided throughout.

Fluid Mechanics and the Theory of Flight

The study of fluid mechanics is fundamental to modern applied mathematics, with applications to oceans, the atmosphere, flow in pipes, aircraft, blood flow and very much more.

An Introduction to Matlab

Matlab is one of the most popular programs for quantitative analysis. This book introduces you to the basics of Matlab without requiring any previous experience of programming.

Introductory Probability Theory

This book covers the basic theory of probability in a simple yet easily comprehensible manner. It deals with the basic mathematical tools for the understanding of probability.

Mathematics for Computer Scientists

In this book you find the basic mathematics that is needed by computer scientists.

A First Course in Ordinary Differential Equations

The aim of the book is to provide the student with a thorough understanding of the methods to obtain solutions of certain classes of differential equations.

Elementary Algebra Exercise Book II

The book series of elementary algebra exercises includes useful problems in most topics in basic algebra.

Mathematics - Free of Worries at the University II

Mathematics - Free of Worries at the University I

Stability Analysis via Matrix Functions Method

The monograph presents a generalization of the well-known Lyapunov function method and related concepts to the matrix function case within systematic stability analysis of dynamical systems.

Blast Into Math!

A fun rigorous introduction to pure mathematics which is suitable for both students and a general audience interested in learning what pure mathematics is all about.

Essential Group Theory

Essential Group Theory is an undergraduate mathematics text book introducing the theory of groups.

An Introduction to Group Theory

The success of Group Theory is impressive and extraordinary. Its influence is strongly felt in almost all scientific and artistic disciplines, in Music in particular, as is shown in this text.

Advanced stochastic processes: Part I

In this book the following topics are treated thoroughly: Brownian motion as a Gaussian process, Brownian motion as a Markov process...

Advanced stochastic processes: Part II

In this book the following topics are treated thoroughly: Brownian motion as a Gaussian process, Brownian motion as a Markov process...

Mathematical Models in Portfolio Analysis

This book explains portfolio modelling in financial mathematics as a consistent mathematical theory. Topics include mean-variance portfolio analysis and capital market theory.

Applied Mathematics by Example: Exercises

Mathematics is an exceptionally useful subject, having numerous applications in business, computing, engineering and medicine to name but a few.

Hilbert Spaces and Operators on Hilbert Spaces

In this book you find the basic mathematics that is needed by engineers and university students .

Introduction to statistical data analysis with R

The book contains an introduction to descriptive and inferential statistics applying the statistical software R. The analyses are introduced and discussed using real data.