--- product_id: 317047593 title: "Springer An Introduction to Manifolds" price: "1723 kr" currency: NOK in_stock: true reviews_count: 5 url: https://www.desertcart.no/products/317047593-springer-an-introduction-to-manifolds store_origin: NO region: Norway --- # Comprehensive 1-semester grad course text Hints & solutions for effective self-study Master de Rham cohomology & topology basics Springer An Introduction to Manifolds **Price:** 1723 kr **Availability:** ✅ In Stock ## Summary > 📘 Unlock the geometry of the universe — don’t just study math, master it! ## Quick Answers - **What is this?** Springer An Introduction to Manifolds - **How much does it cost?** 1723 kr with free shipping - **Is it available?** Yes, in stock and ready to ship - **Where can I buy it?** [www.desertcart.no](https://www.desertcart.no/products/317047593-springer-an-introduction-to-manifolds) ## Best For - Customers looking for quality international products ## Why This Product - Free international shipping included - Worldwide delivery with tracking - 15-day hassle-free returns ## Key Features - • **Essential Reference:** Perfect for advanced undergraduates, grad students, and future math mentors. - • **Self-Study Friendly:** Includes clear exercises, hints, and solutions to ensure correct understanding. - • **Concise & Structured:** Well-organized content avoids unnecessary complexity for efficient learning. - • **Interdisciplinary Foundations:** Bridges algebra, topology, and analysis for modern math applications. - • **Streamlined Graduate-Level Mastery:** Achieve rapid command of manifold theory with minimal prerequisites. ## Overview Springer’s 'An Introduction to Manifolds' is a concise, expertly structured textbook designed for advanced undergraduates and graduate students. It covers the fundamentals of manifold theory, including de Rham cohomology, with minimal prerequisites. The book integrates algebra, topology, and analysis, providing exercises with hints and solutions to support self-study and classroom use alike. Highly rated for clarity and depth, it’s a must-have for anyone serious about modern geometry and topology. ## 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: Concise introduction. Very readable. - Bought this book since my university completely didn't care to teach it's mathematicians any geometry beyond Euclidean... For me this book is quite concise I worked trough the entire book during the last two weeks. It consists of a lot of small subsegments that are easily understood. Not too much unnecessary text very well structured. Cannot say how understandable it is for non mathematicians, however it for for me self studying geometry. Will see how it works now as reference manual. 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. ## Features - Item Category: Abis Book - Item Trademark: SPRINGER - Manufacturer: Springer-Verlag New York Inc. ## Technical Specifications | Specification | Value | |---------------|-------| | Customer Reviews | 4.7 out of 5 stars 159 Reviews | ## Images ![Springer An Introduction to Manifolds - Image 1](https://m.media-amazon.com/images/I/51Wl1T+JpZL.jpg) ## Customer Reviews ### ⭐⭐⭐⭐⭐ Concise introduction. Very readable. *by D***B on 20 September 2022* Bought this book since my university completely didn't care to teach it's mathematicians any geometry beyond Euclidean... For me this book is quite concise I worked trough the entire book during the last two weeks. It consists of a lot of small subsegments that are easily understood. Not too much unnecessary text very well structured. Cannot say how understandable it is for non mathematicians, however it for for me self studying geometry. Will see how it works now as reference manual. ### ⭐⭐⭐⭐⭐ Great Text and Clear Exposition *by A***Y on 3 February 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. ### ⭐⭐⭐⭐⭐ Parfait *by A***T on 5 May 2019* Très bon livre d’introduction ! Achat pas parfait ! ## 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.no/products/317047593-springer-an-introduction-to-manifolds](https://www.desertcart.no/products/317047593-springer-an-introduction-to-manifolds) --- *Product available on Desertcart Norway* *Store origin: NO* *Last updated: 2026-09-16*