The book consists of lecture notes intended for engineering and science students who are reading a first course in ordinary differential equations and who have already read a course on linear algebra, including general vector spaces and integral calculus for functions of one variable.

A Handbook for Statistics provides readers with an overview of common statistical methods used in a wide variety of disciplines.

Mathematical skills are an unavoidable prerequisite for beginners of a study at a university. This book covers all major subjects from a secondary school education in mathematics which are required for studying successfully. Among others, it deals with mathematical foundations, real numbers, equati

In my experience students often struggle to understand Predicate Logic: they drown in the complicated notation; they do not understand the difference between syntax and semantics, proof and truth; they do not appreciate the importance of logic within mathematics and formal methods in general. 

This book is a guide through a playlist of Calculus instructional videos. The format, level of details and rigor, and progression of topics are consistent with a semester long college level first Calculus course, or equivalently an AP Calculus AB course.

This book is the exercise companion to A youtube Calculus Workbook (part II). Its structures in modules mirrors that of the workbook. 

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

In this book, which is basically self-contained, the following topics are treated thoroughly: Brownian motion as a Gaussian process, Brownian motion as a Markov process, and Brownian motion as a martingale. 

In this book, which is basically self-contained, the following topics are treated thoroughly: Brownian motion as a Gaussian process, Brownian motion as a Markov process, and Brownian motion as a martingale. 

Abstract algebra is a cornerstone to modern mathematics. Other areas of mathematics heavily depend upon abstract algebra, and abstract algebra is found in a multitude of disciplines.

This revised edition of the textbook not only provides an in-depth introduction to the field of business research for students, it also aims to prepare readers for practical careers as research consultants. Written by Dr. Susan Greener, a Principal Lecturer at the University of Brighton’s Business School, UK and Dr. Joe Martelli, professor at The...

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. Group Theory extracts the essential characteristics of diverse situations in which some type of symmetry or transformation appears.

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

The theory of complex variables is significant in pure mathematics, and the basis for important applications in applied mathematics (e.g. fluids)

In this book you find the basic mathematics that is needed by engineers and university students . The author will help you to understand the meaning and function of mathematical concepts. The best way to learn it, is by doing it, the exercises in this book will help you do just that.

Mathematics is an exceptionally useful subject, having numerous applications in business, computing, engineering and medicine to name but a few. `Applied mathematics’ refers to the study of the physical world using mathematics.