---
product_id: 4014628
title: "Introduction to Smooth Manifolds"
price: "₹ 13506"
currency: INR
in_stock: true
reviews_count: 13
url: https://www.desertcart.in/products/4014628-introduction-to-smooth-manifolds
store_origin: IN
region: India
---

# Ranked #9 in Differential Geometry 800 pages of deep content Comprehensive self-study guide Introduction to Smooth Manifolds

**Price:** ₹ 13506
**Availability:** ✅ In Stock

## Summary

> 📘 Master the manifold universe before your peers do!

## Quick Answers

- **What is this?** Introduction to Smooth Manifolds
- **How much does it cost?** ₹ 13506 with free shipping
- **Is it available?** Yes, in stock and ready to ship
- **Where can I buy it?** [www.desertcart.in](https://www.desertcart.in/products/4014628-introduction-to-smooth-manifolds)

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- Customers looking for quality international products

## Why This Product

- Free international shipping included
- Worldwide delivery with tracking
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## Key Features

- • **Encyclopedic Depth:** Nearly 800 pages covering smooth manifolds, vector fields, and advanced theorems.
- • **Self-Study Friendly:** Clear, gentle explanations ideal for mastering complex concepts solo.
- • **Top-Ranked Expertise:** A bestseller in Differential Geometry and Topology, trusted by 164+ reviewers.
- • **Broad Mathematical Scope:** Covers Lie groups, vector bundles, symplectic manifolds, and more for a holistic understanding.
- • **Unique Theoretical Insights:** Exclusive deep dive into De Rham's Theorem and Stokes' theorem with sharp corners.

## Overview

Introduction to Smooth Manifolds is a comprehensive, 800-page textbook by Lee, highly rated for its clear, self-study-friendly approach to differential geometry. It uniquely covers advanced topics like De Rham's Theorem and Stokes' theorem with precision, making it a top choice for serious students and professionals aiming to deepen their understanding of smooth manifolds and related mathematical structures.

## Description

This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research--- smooth structures, tangent vectors and covectors, vector bundles, immersed and embedded submanifolds, tensors, differential forms, de Rham cohomology, vector fields, flows, foliations, Lie derivatives, Lie groups, Lie algebras, and more. The approach is as concrete as possible, with pictures and intuitive discussions of how one should think geometrically about the abstract concepts, while making full use of the powerful tools that modern mathematics has to offer. This second edition has been extensively revised and clarified, and the topics have been substantially rearranged. The book now introduces the two most important analytic tools, the rank theorem and the fundamental theorem on flows, much earlier so that they can be used throughout the book. A fewnew topics have been added, notably Sard’s theorem and transversality, a proof that infinitesimal Lie group actions generate global group actions, a more thorough study of first-order partial differential equations, a brief treatment of degree theory for smooth maps between compact manifolds, and an introduction to contact structures. Prerequisites include a solid acquaintance with general topology, the fundamental group, and covering spaces, as well as basic undergraduate linear algebra and real analysis.

## Features

- Used Book in Good Condition

## Technical Specifications

| Specification | Value |
|---------------|-------|
| Best Sellers Rank | #582,442 in Books ( See Top 100 in Books ) #33 in Differential Geometry (Books) #74 in Topology (Books) #1,132 in Applied Mathematics (Books) |
| Customer Reviews | 4.5 out of 5 stars 165 Reviews |

## Images

![Introduction to Smooth Manifolds - Image 1](https://m.media-amazon.com/images/I/51jbenjpVuL.jpg)

## Customer Reviews

### ⭐⭐⭐⭐⭐ Review
*by R***A on September 30, 2024*



### ⭐⭐⭐⭐⭐ Review
*by T***S on June 26, 2019*



### ⭐⭐⭐⭐⭐ Review
*by H***O on April 26, 2025*



## Frequently Bought Together

- Introduction to Smooth Manifolds (Graduate Texts in Mathematics, Vol. 218)
- Introduction to Topological Manifolds (Graduate Texts in Mathematics, 202)
- Introduction to Riemannian Manifolds (Graduate Texts in Mathematics, 176)

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*Product available on Desertcart India*
*Store origin: IN*
*Last updated: 2026-05-24*