# 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

### Introduction to Complex Numbers

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**Free**PDF English Pages 76

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!

### Engineering Mathematics: YouTube Workbook

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**Free**PDF English Pages 77

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

### Elementary Algebra and Calculus

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**Free**PDF English Pages 261

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

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**Free**PDF English Pages 168

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

### Linear Algebra II

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**Free**PDF English Pages 208

This contains the basic abstract theory of Linear algebra.

### A First Course in Ordinary Differential Equations

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**Free**PDF English Pages 232

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.

### Problems, Theory and Solutions in Linear Algebra

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**Free**PDF English Pages 235

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.

### Ordinary differential equations of first order

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**Free**PDF English Pages 263

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

### Sequences and Power Series

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**Free**PDF English Pages 104

A book with 'Guidelines for Solutions of Problems'. The book is in English.

### A youtube Calculus Workbook (Part I)

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**Free**PDF English Pages 299

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.

### Fourier Series and Systems of Differential...

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**Free**PDF English Pages 125

A book with "Guidelines for Solutions of Problems".

### Examples of Eigenvalue Problems

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**Free**PDF English Pages 86

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

### Examples of Sequences

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**Free**PDF English Pages 77

Book Calculus 3c-1 - Examples of Sequences

### Examples of Differential Equations of Second...

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**Free**PDF English Pages 105

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

### Examples of Systems of Differential Equations...

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**Free**PDF English Pages 94

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 Fourier series

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**Free**PDF English Pages 119

In this book we present a collection of examples of applications of the theory of Fourier series.

### A youtube Calculus Workbook (Part II)

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**Free**PDF English Pages 268

This book is a guide through a playlist of Calculus instructional videos.

### Examples of Applications of The Power Series...

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**Free**PDF English Pages 93

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 One Variable - Complex...

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**Free**PDF English Pages 97

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

### Real Functions in One Variable - Integrals...

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**Free**PDF English Pages 154

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

### Examples of Power Series

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**Free**PDF English Pages 81

In this book you find a collection of general examples of power series.

### Examples of General Elementary Series

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**Free**PDF English Pages 95

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

### Methods for finding Zeros in Polynomials

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**Free**PDF English Pages 122

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

### Linear and Convex Optimization

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**Free**PDF English Pages 166

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

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**Free**PDF English Pages 140

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

### Convexity

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**Free**PDF English Pages 216

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

### Calculus II YouTube Workbook

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**Free**PDF English Pages 37

The workbook is designed as a supplement for a Calculus II course taught at most American universities.

### Learn Calculus 2 on Your Mobile Device

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**Free**PDF English Pages 61

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 Several Variables: Volume VI

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**Free**PDF English Pages 166

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 - Elementary...

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**Free**PDF English Pages 89

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

### Exercises for A youtube Calculus Workbook Part II

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**Free**PDF English Pages 241

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 One Variable

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**Free**PDF English Pages 146

### Real Functions in Several Variables: Volume I

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**Free**PDF English Pages 132

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.

### My Horror Chamber

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**Free**PDF English Pages 272

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

### Real Functions in Several Variables: Volume X

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**Free**PDF English Pages 172

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

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**Free**PDF English Pages 150

### Real Functions in One Variable - Simple 2...

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**Free**PDF English Pages 116

### Real Functions in Several Variables: Volume IV

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**Free**PDF English Pages 96

### Real Functions in Several Variables: Volume IX

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**Free**PDF English Pages 132

### Real Functions in Several Variables: Volume V

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**Free**PDF English Pages 270

### Real Functions in Several Variables: Volume VIII

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**Free**PDF English Pages 190

### Spectral Theory

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**Free**PDF English Pages 80

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

### Real Functions in One Variable - Simple 1...

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**Free**PDF English Pages 118

### Real Functions in Several Variables: Volume II

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**Free**PDF English Pages 142

### Real Functions in Several Variables: Volume VII

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**Free**PDF English Pages 148

### Real Functions in Several Variables: Volume III

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**Free**PDF English Pages 188

### Descent and Interior-point Methods

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**Free**PDF English Pages 146

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 One Variable - Taylor's...

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**Free**PDF English Pages 154

### Advanced Topics In Introductory Probability

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**Free**PDF English Pages 275

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