---
product_id: 7308667
title: "An Introduction to Manifolds (Universitext)"
price: "286.34 DT"
currency: TND
in_stock: true
reviews_count: 13
url: https://www.desertcart.tn/products/7308667-an-introduction-to-manifolds-universitext
store_origin: TN
region: Tunisia
---

# An Introduction to Manifolds (Universitext)

**Price:** 286.34 DT
**Availability:** ✅ In Stock

## Quick Answers

- **What is this?** An Introduction to Manifolds (Universitext)
- **How much does it cost?** 286.34 DT with free shipping
- **Is it available?** Yes, in stock and ready to ship
- **Where can I buy it?** [www.desertcart.tn](https://www.desertcart.tn/products/7308667-an-introduction-to-manifolds-universitext)

## Best For

- Customers looking for quality international products

## Why This Product

- Free international shipping included
- Worldwide delivery with tracking
- 15-day hassle-free returns

## Description

Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory. In this streamlined introduction to the subject, the theory of manifolds is presented with the aim of helping the reader achieve a rapid mastery of the essential topics. By the end of the book the reader should be able to compute, at least for simple spaces, one of the most basic topological invariants of a manifold, its de Rham cohomology. Along the way, the reader acquires the knowledge and skills necessary for further study of geometry and topology. The requisite point-set topology is included in an appendix of twenty pages; other appendices review facts from real analysis and linear algebra. Hints and solutions are provided to many of the exercises and problems. This work may be used as the text for a one-semester graduate or advanced undergraduate course, as well as by students engaged in self-study. Requiring only minimal undergraduate prerequisites, 'Introduction to Manifolds' is also an excellent foundation for Springer's GTM 82, 'Differential Forms in Algebraic Topology'.

Review: Great Text and Clear Exposition - When I first began reading the text, I had a difficult time understanding the concepts, but the presentation of the material really laid bare all of the esoteric topics that I hadn't encountered formally before. Loring Tu has done an excellent job of making sure even the uninitiated student can make his/her way through this text, having sprinkled a few easy exercises through the text itself to emphasize the learning and familiarity with definitions, with more difficult exercises at the end (including computations as well as topics that force a student to understand and digest the section immediately preceding the problems). He labels every problem, so a student doesn't wade through pages of text needlessly trying to discover which part of the text will be most useful, but this method allows the student to hone in on the material which is exactly pertinent to that problem. I am by far not the best and brightest student, but I have been able to read the text and given a few hours for each section, complete all exercises throughout the reading and at the end of the section. With many hints and solutions at the end of the textbook, I can be sure I'm not only learning the material, I'm learning it correctly! I would agree with some of the other reviewers that this should be a text every graduate student in mathematics should read. It is not out of the realm of possibilities for a student to read it on his/her own, and the enlightenment gained from the generalizations of multivariate calculus is really a gift to oneself, as well as to any future students the person may have, for they will be able to answer any up-and-coming student's questions with a clarity surpassing any instructor I've personally had, which would have been very helpful as a budding mathematician.
Review: Gentle introduction with good breadth and depth - I used this book for a semester long senior undergraduate/masters level class that culminated in Stoke's theorem. I found the material fascinating and thought this book did a good job of being self-contained in developing the basic machinery for integration on manifolds via partitions of unity, while also giving a taste of some interesting related topics: several chapters about Lie groups, immersions/submersions, regular/critical points, and de Rahm cohomology at the end. I especially enjoyed the 5 page section on the category theoretic perspective and the functorial nature of the pullback and pushforward. No complaints really, maybe it could use a few more exercises, but the ones in the book are pretty good. I would have liked discussion of the hodge dual (which is alluded to in an exercise on Maxwell's equations), but the book stays pretty strictly away from the metric tensor and anything else remotely Riemannian, which I think is ultimately a good choice because it leaves room to discuss cohomology, Mayer-Vietoris, homotopy, etc.

## Technical Specifications

| Specification | Value |
|---------------|-------|
| Best Sellers Rank | #92,032 in Books ( See Top 100 in Books ) #3 in Differential Geometry (Books) #4 in Topology (Books) #22 in Mathematical Analysis (Books) |
| Customer Reviews | 4.7 out of 5 stars 165 Reviews |

## Images

![An Introduction to Manifolds (Universitext) - Image 1](https://m.media-amazon.com/images/I/51Wl1T+JpZL.jpg)

## Customer Reviews

### ⭐⭐⭐⭐⭐ Great Text and Clear Exposition
*by A***Y on February 3, 2013*

When I first began reading the text, I had a difficult time understanding the concepts, but the presentation of the material really laid bare all of the esoteric topics that I hadn't encountered formally before. Loring Tu has done an excellent job of making sure even the uninitiated student can make his/her way through this text, having sprinkled a few easy exercises through the text itself to emphasize the learning and familiarity with definitions, with more difficult exercises at the end (including computations as well as topics that force a student to understand and digest the section immediately preceding the problems). He labels every problem, so a student doesn't wade through pages of text needlessly trying to discover which part of the text will be most useful, but this method allows the student to hone in on the material which is exactly pertinent to that problem. I am by far not the best and brightest student, but I have been able to read the text and given a few hours for each section, complete all exercises throughout the reading and at the end of the section. With many hints and solutions at the end of the textbook, I can be sure I'm not only learning the material, I'm learning it correctly! I would agree with some of the other reviewers that this should be a text every graduate student in mathematics should read. It is not out of the realm of possibilities for a student to read it on his/her own, and the enlightenment gained from the generalizations of multivariate calculus is really a gift to oneself, as well as to any future students the person may have, for they will be able to answer any up-and-coming student's questions with a clarity surpassing any instructor I've personally had, which would have been very helpful as a budding mathematician.

### ⭐⭐⭐⭐⭐ Gentle introduction with good breadth and depth
*by K***B on August 16, 2019*

I used this book for a semester long senior undergraduate/masters level class that culminated in Stoke's theorem. I found the material fascinating and thought this book did a good job of being self-contained in developing the basic machinery for integration on manifolds via partitions of unity, while also giving a taste of some interesting related topics: several chapters about Lie groups, immersions/submersions, regular/critical points, and de Rahm cohomology at the end. I especially enjoyed the 5 page section on the category theoretic perspective and the functorial nature of the pullback and pushforward. No complaints really, maybe it could use a few more exercises, but the ones in the book are pretty good. I would have liked discussion of the hodge dual (which is alluded to in an exercise on Maxwell's equations), but the book stays pretty strictly away from the metric tensor and anything else remotely Riemannian, which I think is ultimately a good choice because it leaves room to discuss cohomology, Mayer-Vietoris, homotopy, etc.

### ⭐⭐⭐⭐⭐ This book taught me how to calculate de Rham Cohomology Groups for any compact and oriented Surface!
*by R***A on February 21, 2022*

This seems to be a very good book, it is easier than graduate texts I would say at a advanced undergraduate level it covers many topics starting with flat space and calculus on it like R*n and then starts with Manifolds, it even brings a chapter on Lie Groups and Lie Algebras an another on Categories and Functors. But I have not read any of these chapters I immediately went for the last chapter, chapter 7 De Rham Theory, which consist in 6 subchapters: 24-De Rham Cohomology, 25-The Long Exact Sequence in Cohomology, 26-The Mayer-Vietoris Sequence, 27- Homotopy Invariance, 28- Computation of de Rham Cohomology, 29-Proof of Homotopy Invariance. These sections actually taught me HOW TO USE AND CALCULATE COHOMOLOGY GROUPS with the Mayer Vietoris Sequence and for this an only this it is worth it to buy it, here you will find how to calculate the de Rham Cohomology groups for any oriented Riemann surface of whatever genus you want!!!! and this is very important because de Rham's Cohomology groups are very important topological invariants of Manifolds, I am glad I purchased this book and learnt this stuff.

## Frequently Bought Together

- An Introduction to Manifolds (Universitext)
- Differential Geometry: Connections, Curvature, and Characteristic Classes (Graduate Texts in Mathematics, 275)
- Introduction to Smooth Manifolds (Graduate Texts in Mathematics, Vol. 218)

---

## Why Shop on Desertcart?

- 🛒 **Trusted by 1.3+ Million Shoppers** — Serving international shoppers since 2016
- 🌍 **Shop Globally** — Access 737+ million products across 21 categories
- 💰 **No Hidden Fees** — All customs, duties, and taxes included in the price
- 🔄 **15-Day Free Returns** — Hassle-free returns (30 days for PRO members)
- 🔒 **Secure Payments** — Trusted payment options with buyer protection
- ⭐ **TrustPilot Rated 4.5/5** — Based on 8,000+ happy customer reviews

**Shop now:** [https://www.desertcart.tn/products/7308667-an-introduction-to-manifolds-universitext](https://www.desertcart.tn/products/7308667-an-introduction-to-manifolds-universitext)

---

*Product available on Desertcart Tunisia*
*Store origin: TN*
*Last updated: 2026-06-03*