Calculus textbooks
Many students find it difficult to solve calculus problems. That doesn't need to be you - download our free textbooks! Our authors have contributed textbooks for all levels.

Download all “Calculus” books in one ZIP-file
For your convenience, we have put all the books in this category into a zip file which you can download in one go
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!
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.
Elementary Algebra and Calculus

The book is based on lecture notes Larissa created while teaching large classes of STEM students at a University of widening access and embodies a systematic and efficient teaching method.
Matrix Methods and Differential Equations

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

This contains the basic abstract theory of Linear algebra.
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.
Fourier Series and Systems of Differential...

A book with "Guidelines for Solutions of Problems".
Sequences and Power Series

A book with 'Guidelines for Solutions of Problems'. The book is in English.
Decision-Making using Financial Ratios

The simplest guide in calculating, interpreting and analysing financial ratios. Suitable for students at all levels and beginners in Accounting; you’ll improve your grades in just 7 days.
A youtube Calculus Workbook (Part I)

This is a guide through a playlist of Calculus instructional videos. The format, level of details, and progression of topics are consistent with a semester long college level first Calculus course.
Examples of Differential Equations of Second...

Here follows a book with the continuation of a collection of examples from Ventus: Calculus 4c-1, Systems of differential systems.
Examples of Fourier series

In this book we present a collection of examples of applications of the theory of Fourier series.
Examples of Systems of Differential Equations...

In this book we present a collection of examples of general systems of linear differential equations and some applications in Physics and the Technical Sciences.
Examples of Applications of The Power Series...

A book with a collection of examples of how to solve linear differential equations with polynomial coefficients by the method of power series.
Real Functions in Several Variables: Volume VI

The topic of this series of books on "Real Functions in Several Variables" is very important in the description in e.g. Mechanics of the real 3-dimensional world that we live in.
Examples of Eigenvalue Problems

In this book we present a collection of examples of eigenvalue problems.
Examples of Power Series

In this book you find a collection of general examples of power series.
Examples of General Elementary Series

A book with a collection of examples of general, elementary series.
Calculus of Residua

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

Book Calculus 3c-1 - Examples of Sequences
Linear and Convex Optimization

This book presents the mathematical basis for linear and convex optimization with an emphasis on the important concept of duality. The simplex algorithm is also described in detail.
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.
Methods for finding Zeros in Polynomials

In this book you find the basic mathematics that is needed by engineers and university students .
A youtube Calculus Workbook (Part II)

This book is a guide through a playlist of Calculus instructional videos.
Real Functions in One Variable - Integrals...

This series consists of six book on the elementary part of the theory of real functions in one variable.
Learn Calculus 2 on Your Mobile Device

Learn calculus on your mobile device! This ebook integrates text with online video to enable learning anywhere, anytime on smart phones, tablets and laptops.
Real Functions in One Variable

This series consists of six book on the elementary part of the theory of real functions in one variable.
Calculus II YouTube Workbook

The workbook is designed as a supplement for a Calculus II course taught at most American universities.
Exercises for A youtube Calculus Workbook Part II

This book is the exercise companion to A youtube Calculus Workbook (part II). Its structures in modules mirrors that of the workbook.
Real Functions in Several Variables: Volume I

The topic of this series of books on "Real Functions in Several Variables" is very important in the description in e.g. Mechanics of the real 3-dimensional world that we live in.
Real Functions in Several Variables: Volume VIII

The topic of this series of books on "Real Functions in Several Variables" is very important in the description in e.g. Mechanics of the real 3-dimensional world that we live in.
Real Functions in Several Variables: Volume XI

The topic of this series of books on "Real Functions in Several Variables" is very important in the description in e.g. Mechanics of the real 3-dimensional world that we live in.
Real Functions in Several Variables: Volume X

The topic of this series of books on "Real Functions in Several Variables" is very important in the description in e.g. Mechanics of the real 3-dimensional world that we live in.
Real Functions in One Variable - Complex...

This series consists of six book on the elementary part of the theory of real functions in one variable.
Real Functions in One Variable - Elementary...

This series consists of six book on the elementary part of the theory of real functions in one variable.
Real Functions in One Variable - Taylor's...

This series consists of six book on the elementary part of the theory of real functions in one variable.
Real Functions in Several Variables: Volume IV

The topic of this series of books on "Real Functions in Several Variables" is very important in the description in e.g. Mechanics of the real 3-dimensional world that we live in.
Spectral Theory

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

This book contains everything you need to know about convexity in order to get a thorough understanding of linear and convex optimization.
Descent and Interior-point Methods

This book contains a brief description of general descent methods and a detailed study of Newton's method and the important class of so-called self-concordant functions.
Real Functions in Several Variables: Volume VII

The topic of this series of books on "Real Functions in Several Variables" is very important in the description in e.g. Mechanics of the real 3-dimensional world that we live in.
Real Functions in One Variable - Simple 2...

This series consists of six book on the elementary part of the theory of real functions in one variable.
Real Functions in Several Variables: Volume III

The topic of this series of books on "Real Functions in Several Variables" is very important in the description in e.g. Mechanics of the real 3-dimensional world that we live in.
Real Functions in Several Variables: Volume IX

The topic of this series of books on "Real Functions in Several Variables" is very important in the description in e.g. Mechanics of the real 3-dimensional world that we live in.
Real Functions in One Variable - Simple 1...

This series consists of six book on the elementary part of the theory of real functions in one variable.
Real Functions in Several Variables: Volume V

The topic of this series of books on "Real Functions in Several Variables" is very important in the description in e.g. Mechanics of the real 3-dimensional world that we live in.
Real Functions in Several Variables: Volume II

The topic of this series of books on "Real Functions in Several Variables" is very important in the description in e.g. Mechanics of the real 3-dimensional world that we live in.
Advanced Topics In Introductory Probability

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