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!
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.
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 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.
Fourier Series and Systems of Differential...
A book with "Guidelines for Solutions of Problems".
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.
Sequences and Power Series
A book with 'Guidelines for Solutions of Problems'. The book is in English.
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.
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 Fourier series
In this book we present a collection of examples of applications of the theory of Fourier series.
Examples of Eigenvalue Problems
In this book we present a collection of examples of eigenvalue problems.
A youtube Calculus Workbook (Part II)
This book is a guide through a playlist of Calculus instructional videos.
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.
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.
Calculus of Residua
In this book you find the basic mathematics that is needed by engineers and university students .
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.
Real Functions in One Variable
This series consists of six book on the elementary part of the theory of real functions in one variable.
Methods for finding Zeros in Polynomials
In this book you find the basic mathematics that is needed by engineers and university students .
Examples of Power Series
In this book you find a collection of general examples of power series.
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.
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.
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 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 One Variable - Complex...
This series consists of six book on the elementary part of the theory of real functions in one variable.
Examples of General Elementary Series
A book with a collection of examples of general, elementary series.
Calculus II YouTube Workbook
The workbook is designed as a supplement for a Calculus II course taught at most American universities.
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 - Simple 2...
This series consists of six book on the elementary part of the theory of real functions in one variable.
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 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.
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.
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.
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 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 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.
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 XII
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 - 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 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.
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 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 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 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.