---
product_id: 18164509
title: "- Understanding Analysis (Undergraduate Texts in Mathematics)"
price: "₹ 8474"
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---

# - Understanding Analysis (Undergraduate Texts in Mathematics)

**Price:** ₹ 8474
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## Description

This lively introductory text exposes the student to the rewards of a rigorous study of functions of a real variable. In each chapter, informal discussions of questions that give analysis its inherent fascination are followed by precise, but not overly formal, developments of the techniques needed to make sense of them. By focusing on the unifying themes of approximation and the resolution of paradoxes that arise in the transition from the finite to the infinite, the text turns what could be a daunting cascade of definitions and theorems into a coherent and engaging progression of ideas. Acutely aware of the need for rigor, the student is much better prepared to understand what constitutes a proper mathematical proof and how to write one. Fifteen years of classroom experience with the first edition of Understanding Analysis have solidified and refined the central narrative of the second edition. Roughly 150 new exercises join a selection of the best exercises from the first edition, and three more project-style sections have been added. Investigations of Euler’s computation of ζ(2), the Weierstrass Approximation ­ Theorem, and the gamma function are now among the book’s cohort of seminal results serving as motivation and payoff for the beginning student to master the methods of analysis.

Review: A concise book with no fluff - Please note that this is written from the perspective of an undergraduate student with the only fundamentals in higher level math coming a proof writing class. I picked this up to supplement the book, "The Way of Analysis, Revised Edition" by Robert S. Strichartz for a first course in Real Analysis. The good: The book is compact, easy to read, and somewhat easy to find the results you are looking for. The occasional diagram really help develop geometric interpretation. The bad: The book itself is of lower quality. The pages are thin and feel like printer paper. The bottom line: If you are bad at math, like me, and need a book to hold your hand with a list of definitions and the theorems that emerge as a result with the occasional example sprinkled in? This book does just that. Heres some more info about me. I am bad at math. I don't know how I got to this point in my life taking this class. I don't know what is going on until I go home and re read my notes and watch videos and read through examples and sit on results for a week or two... You get the picture, I need a lot of extra help. This is where this book comes in. For some overarching topic where things are never as clear as I would like them to be, I know that I can turn to this book and find the results I am looking for, my hand held the entire time. One of the most frustrating parts of analysis, for me, is that at times statements are made that seem self evident or that you take for granted. However, the whole point of analysis is that you build a strong foundation in order to justify your thinking at every step. This book offers a great scaffolding for your own thoughts or offers you a template when you feel have nothing else to work off. One definition at a time.
Review: Excellent Text on Real Analysis. - I had studied math as a young man and had long felt I could do a better job. I started with Understanding Analysis and I'm nearly done with chapter one. The pedagogy is at a nice level for self study and I really like how the exercises are woven into the topic. First rate text book.

## Technical Specifications

| Specification | Value |
|---------------|-------|
| Best Sellers Rank | #34,537 in Books ( See Top 100 in Books ) #2 in Calculus (Books) #3 in Mathematical Analysis (Books) |
| Customer Reviews | 4.6 out of 5 stars 646 Reviews |

## Images

![- Understanding Analysis (Undergraduate Texts in Mathematics) - Image 1](https://m.media-amazon.com/images/I/51OS+nZ1bEL.jpg)

## Customer Reviews

### ⭐⭐⭐⭐⭐ A concise book with no fluff
*by M***M on February 19, 2024*

Please note that this is written from the perspective of an undergraduate student with the only fundamentals in higher level math coming a proof writing class. I picked this up to supplement the book, "The Way of Analysis, Revised Edition" by Robert S. Strichartz for a first course in Real Analysis. The good: The book is compact, easy to read, and somewhat easy to find the results you are looking for. The occasional diagram really help develop geometric interpretation. The bad: The book itself is of lower quality. The pages are thin and feel like printer paper. The bottom line: If you are bad at math, like me, and need a book to hold your hand with a list of definitions and the theorems that emerge as a result with the occasional example sprinkled in? This book does just that. Heres some more info about me. I am bad at math. I don't know how I got to this point in my life taking this class. I don't know what is going on until I go home and re read my notes and watch videos and read through examples and sit on results for a week or two... You get the picture, I need a lot of extra help. This is where this book comes in. For some overarching topic where things are never as clear as I would like them to be, I know that I can turn to this book and find the results I am looking for, my hand held the entire time. One of the most frustrating parts of analysis, for me, is that at times statements are made that seem self evident or that you take for granted. However, the whole point of analysis is that you build a strong foundation in order to justify your thinking at every step. This book offers a great scaffolding for your own thoughts or offers you a template when you feel have nothing else to work off. One definition at a time.

### ⭐⭐⭐⭐⭐ Excellent Text on Real Analysis.
*by B***H on January 30, 2026*

I had studied math as a young man and had long felt I could do a better job. I started with Understanding Analysis and I'm nearly done with chapter one. The pedagogy is at a nice level for self study and I really like how the exercises are woven into the topic. First rate text book.

### ⭐⭐⭐⭐⭐ Super user-friendly well written analysis book delightful to read!
*by S***. on June 21, 2009*

I currently own Baby Rudin, Kolmogorov and Fomin, Marsden, John Royden, Probability and Analysis and this book I think if this book provides a solutions manual, it will be the best self-study book. Sure Rudin is elegant and very general in a sense that it covers huge amount of materials through pithy and concise yet rigorous proofs but this is exactly why i don't think it is a good book to start. When i started with Rudin because of its fame, I was very frustrated because of the density of the book. It is very heavy reading that you need to explicate in your head to understand. This is all good and well if you already grasp the idea but for first time learners rudin should be used as a reference. ( i am sure lots of people disagree, this is just my view). This book on the other hand is super friendly and when you read it, it does the explicating of the ideas for you. it is as if you are listening to a professor who does the thinking for you. OF COURSE this is not GOOD for learning how to proof stuff. That, one must learn by himself. However, When one wants to learn the ideas and grasp the general overview and the beauty of analysis, it serves one well. I recommend this book to anyone who wants to leisurely yet rigorously learn analysis. usually, those two words are oxymorons but this book combines them - leisure and rigor come together.

## Frequently Bought Together

- Understanding Analysis (Undergraduate Texts in Mathematics)
- Linear Algebra Done Right (Undergraduate Texts in Mathematics)
- Real Analysis: A Long-Form Mathematics Textbook (The Long-Form Math Textbook Series)

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*Store origin: IN*
*Last updated: 2026-05-15*