---
product_id: 41412010
title: "Calculus: A Rigorous First Course (Aurora: Dover Modern Math Originals)"
price: "€ 84.50"
currency: EUR
in_stock: true
reviews_count: 10
url: https://www.desertcart.sk/products/41412010-calculus-a-rigorous-first-course-aurora-dover-modern-math-originals
store_origin: SK
region: Slovakia
---

# Calculus: A Rigorous First Course (Aurora: Dover Modern Math Originals)

**Price:** € 84.50
**Availability:** ✅ In Stock

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- **What is this?** Calculus: A Rigorous First Course (Aurora: Dover Modern Math Originals)
- **How much does it cost?** € 84.50 with free shipping
- **Is it available?** Yes, in stock and ready to ship
- **Where can I buy it?** [www.desertcart.sk](https://www.desertcart.sk/products/41412010-calculus-a-rigorous-first-course-aurora-dover-modern-math-originals)

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## Description

Designed for undergraduate mathematics majors, this rigorous and rewarding treatment covers the usual topics of first-year calculus: limits, derivatives, integrals, and infinite series. Author Daniel J. Velleman focuses on calculus as a tool for problem solving rather than the subject's theoretical foundations. Stressing a fundamental understanding of the concepts of calculus instead of memorized procedures, this volume teaches problem solving by reasoning, not just calculation. The goal of the text is an understanding of calculus that is deep enough to allow the student to not only find answers to problems, but also achieve certainty of the answers' correctness. No background in calculus is necessary. Prerequisites include proficiency in basic algebra and trigonometry, and a concise review of both areas provides sufficient background. Extensive problem material appears throughout the text and includes selected answers. Complete solutions are available to instructors.

Review: Favorite Math book ever. A first love kinda thing - I owe so much to this book. I had not done any math in 9 years but I felt an urge to pick up math again, which was my favorite thing to do in High School. This book is clear concise. It has made me so confident in my mathematical abilities. I just want to thank professor Velleman. I have gone on to purchase his other book, "how to prove it". He makes you understand limits, write proofs, understand the derivative, the integral and more. His writing has a lot of personality as well. This is a serious math book but he finds clever ways to inject humor as well. I have completed this book from cover to cover. It took me 8 months. I spent a lot of time on the exercise to get a solid grasp of the concepts. As you progress in the book, your familiarity with the concepts increase, you begin to grasp things without rereading as many do for several math books. I just owe my now very keen interest in mathematics to this book
Review: The BEST for an in-depth study of single variable calculus. - This is the VERY BEST calculus text I have encountered. I am by no means good at math but I have trudged through quite a few calculus textbooks in my time culminating with Apostol's classic. But here Velleman has a unique presentation model that gets into the minutiae step by step. I got this book for Christmas in 2020 and I am now just starting chapter five. I am struggling but enjoying every moment. Most sections I have to go over at least three times to digest the stuff. Now that I am retired gone are the days when I got through exams and tests using standard college level calculus textbooks. This time I'm taking it slow. This one is a gem of the first order.

## Technical Specifications

| Specification | Value |
|---------------|-------|
| Best Sellers Rank | #1,606,056 in Books ( See Top 100 in Books ) #420 in Calculus (Books) |
| Customer Reviews | 4.7 out of 5 stars 29 Reviews |

## Images

![Calculus: A Rigorous First Course (Aurora: Dover Modern Math Originals) - Image 1](https://m.media-amazon.com/images/I/71zOGE44r0L.jpg)

## Customer Reviews

### ⭐⭐⭐⭐⭐ Favorite Math book ever. A first love kinda thing
*by J***H on June 9, 2020*

I owe so much to this book. I had not done any math in 9 years but I felt an urge to pick up math again, which was my favorite thing to do in High School. This book is clear concise. It has made me so confident in my mathematical abilities. I just want to thank professor Velleman. I have gone on to purchase his other book, "how to prove it". He makes you understand limits, write proofs, understand the derivative, the integral and more. His writing has a lot of personality as well. This is a serious math book but he finds clever ways to inject humor as well. I have completed this book from cover to cover. It took me 8 months. I spent a lot of time on the exercise to get a solid grasp of the concepts. As you progress in the book, your familiarity with the concepts increase, you begin to grasp things without rereading as many do for several math books. I just owe my now very keen interest in mathematics to this book

### ⭐⭐⭐⭐⭐ The BEST for an in-depth study of single variable calculus.
*by K***L on July 1, 2021*

This is the VERY BEST calculus text I have encountered. I am by no means good at math but I have trudged through quite a few calculus textbooks in my time culminating with Apostol's classic. But here Velleman has a unique presentation model that gets into the minutiae step by step. I got this book for Christmas in 2020 and I am now just starting chapter five. I am struggling but enjoying every moment. Most sections I have to go over at least three times to digest the stuff. Now that I am retired gone are the days when I got through exams and tests using standard college level calculus textbooks. This time I'm taking it slow. This one is a gem of the first order.

### ⭐⭐⭐⭐⭐ Un texto muy claro en el tratamiento de los temas tradicionales para cálculo 1 y 2
*by A***X on May 13, 2024*

Hasta ahora solo lo he leído superficialmente, pero me parece un buen libro para iniciarse en el cálculo. El libro llegó con un pequeño golpe en la parte de abajo del lomo, pero nada grave. Por lo demás, muy buen servicio.

## Frequently Bought Together

- Calculus: A Rigorous First Course (Aurora: Dover Modern Math Originals)
- Essential Calculus Skills Practice Workbook with Full Solutions
- Calculus: Essential Skills Practice Workbook with Full Solutions - Derivatives, Limits and Integrals 2022 Edition

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*Product available on Desertcart Slovakia*
*Store origin: SK*
*Last updated: 2026-06-08*