--- product_id: 149823354 title: "Real Analysis: A Long-Form Mathematics Textbook (The Long-Form Math Textbook Series)" price: "₱5247" currency: PHP in_stock: true reviews_count: 13 url: https://www.desertcart.ph/products/149823354-real-analysis-a-long-form-mathematics-textbook-the-long-form store_origin: PH region: Philippines --- # Real Analysis: A Long-Form Mathematics Textbook (The Long-Form Math Textbook Series) **Price:** ₱5247 **Availability:** ✅ In Stock ## Quick Answers - **What is this?** Real Analysis: A Long-Form Mathematics Textbook (The Long-Form Math Textbook Series) - **How much does it cost?** ₱5247 with free shipping - **Is it available?** Yes, in stock and ready to ship - **Where can I buy it?** [www.desertcart.ph](https://www.desertcart.ph/products/149823354-real-analysis-a-long-form-mathematics-textbook-the-long-form) ## 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 This textbook is designed for students. Rather than the typical definition-theorem-proof-repeat style, this text includes much more commentary, motivation and explanation. The proofs are not terse, and aim for understanding over economy. Furthermore, dozens of proofs are preceded by "scratch work" or a proof sketch to give students a big-picture view and an explanation of how they would come up with it on their own. Examples often drive the narrative and challenge the intuition of the reader. The text also aims to make the ideas visible, and contains over 200 illustrations. The writing is relaxed and includes interesting historical notes, periodic attempts at humor, and occasional diversions into other interesting areas of mathematics. The text covers the real numbers, cardinality, sequences, series, the topology of the reals, continuity, differentiation, integration, and sequences and series of functions. Each chapter ends with exercises, and nearly all include some open questions. The first appendix contains a construction the reals, and the second is a collection of additional peculiar and pathological examples from analysis. The author believes most textbooks are extremely overpriced and endeavors to help change this.Hints and solutions to select exercises can be found at LongFormMath.com. This is the 2 + epsilon edition of this book. The second edition was published in July 2019. In January 2024, an epsilon of changes were made and the manuscript was updated, without officially creating a new edition. Review: Fantastic treatise of proof-extensive Real Analysis - The author introduces all central proofs required for a one-semester long module on real analysis in an easily understandable and comprehensive approach. I will facilitate mastering the challenging, abstract syllabus of any undergraduate maths curriculum. However, every year-long modules will cover more topics and at greater depth, requiring an additional good textbook like Elementary Real Analysis by Bruckner, Thompson, Thompson. Nonetheless, the value of the book is at least 10 times as high as its very fair price, and it ought to be purchased as a treatise that covers the main proofs in all steps and details - way better than any video-course on YouTube. Review: A superb tour de force of Real Analysis with excellent proofs - I have a number of RA texts and I have to say this one really impressed. Obviously the thoroughness is there (it's a big book for such a low price) but what impressed most is the sketches of proofs before the proofs and the explanations within. The author really goes to great depths to fully explain everything which makes this an excellent text for self learners. Highly recommend, along with the author's other text on Proof. Hints to exercises are on his website, but I would have liked a more substantial bank of solutions. ## Technical Specifications | Specification | Value | |---------------|-------| | Best Sellers Rank | 46,252 in Books ( See Top 100 in Books ) 653 in Mathematics Teaching Aids 2,229 in Scientific, Technical & Medical | | Customer Reviews | 4.8 out of 5 stars 826 Reviews | ## Images ![Real Analysis: A Long-Form Mathematics Textbook (The Long-Form Math Textbook Series) - Image 1](https://m.media-amazon.com/images/I/51LQTavml+L.jpg) ## Customer Reviews ### ⭐⭐⭐⭐⭐ Fantastic treatise of proof-extensive Real Analysis *by K***L on 14 October 2023* The author introduces all central proofs required for a one-semester long module on real analysis in an easily understandable and comprehensive approach. I will facilitate mastering the challenging, abstract syllabus of any undergraduate maths curriculum. However, every year-long modules will cover more topics and at greater depth, requiring an additional good textbook like Elementary Real Analysis by Bruckner, Thompson, Thompson. Nonetheless, the value of the book is at least 10 times as high as its very fair price, and it ought to be purchased as a treatise that covers the main proofs in all steps and details - way better than any video-course on YouTube. ### ⭐⭐⭐⭐⭐ A superb tour de force of Real Analysis with excellent proofs *by J***S on 5 January 2022* I have a number of RA texts and I have to say this one really impressed. Obviously the thoroughness is there (it's a big book for such a low price) but what impressed most is the sketches of proofs before the proofs and the explanations within. The author really goes to great depths to fully explain everything which makes this an excellent text for self learners. Highly recommend, along with the author's other text on Proof. Hints to exercises are on his website, but I would have liked a more substantial bank of solutions. ### ⭐⭐⭐⭐⭐ Title your review *by D***. on 26 February 2025* Very well-written book and I enjoy the constant humour littered in. ## Frequently Bought Together - Real Analysis: A Long-Form Mathematics Textbook (The Long-Form Math Textbook Series) - Proofs: A Long-Form Mathematics Textbook (The Long-Form Math Textbook Series) - How to Prove It: A Structured Approach --- ## 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.ph/products/149823354-real-analysis-a-long-form-mathematics-textbook-the-long-form](https://www.desertcart.ph/products/149823354-real-analysis-a-long-form-mathematics-textbook-the-long-form) --- *Product available on Desertcart Philippines* *Store origin: PH* *Last updated: 2026-06-05*