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Description
Intermediate Mathematical AnalysisGeared toward those who have studied elementary calculus and intend to progress to more advanced mathematics, this book stresses concepts rather than techniques. It emphasizes the simplest setting of basic theorems so that students may progress from "one space" to ""n" space" calculus. An introductory section by the author reviews the roles of sets, relations, and functions. Subsequent chapters explore real numbers, the limit concept, useful theorems,
Geared toward those who have studied elementary calculus and intend to progress to more advanced mathematics, this book stresses concepts rather than techniques. It emphasizes the simplest setting of basic theorems so that students may progress from "one-space" to ""n"-space" calculus.An introductory section by the author reviews the roles of sets, relations, and functions. Subsequent chapters explore real numbers, the limit concept, useful theorems, continuity, differentiability, and integrability. The author focuses on real-valued functions of a real variable. Considerations ofcomplex numbers appear only in optional supplements to certain chapters, as well asin the final two chapters, which consist of in-depth explorations of sequences of functions and Fourier series. Each chapter features several helpful exercises."
Binding Type: Paperback
Publisher: Dover Publications
Published: 02/29/2008
ISBN: 9780486462974
Pages: 253
Weight: 0.85lbs
Size: 8.50h x 5.35w x 0.51d
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4.3 ★★★★★
Based on 644 reviews
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Product Reviews
★★★★★ 5
Excellent knowledge for the rest of us!
Format: Paperback
Excellent read! This book covers many of the great strategies used by sophisticated investors. A must read if you're tired of paying taxes, want to accelerate your income, and desire to be a better steward of your hard-earned dollars.
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Reviewed in the United States on February 13, 2026
★★★★★ 4
4.5 Stars - Highly Recommend- Will Buy Copies for My Kids
Format: Paperback
I was torn between 4 and 5 stars, because this book is very good. The pay no taxes part of the book is a solid 5 stars. However, I was much more interested in the buy, borrow, die strategies. Those strategies are good, including a fairly thorough explanation and use cases. But there wasn't enough explanation of the long-term handling of the debt and the possibility of margin calls. If you leverage 50% of your portfolio and the market goes down 30 to 35%, which does happen, you can quickly get in trouble. Many of the current ETFs that pay high dividends haven't been around long enough to go through a 30 - 35% market drop, so it's difficult to accurately predict how they'll perform. Of course, if you don't overleverage, the chances of a margin call are much lower, even if the market tanks.
Also, the book says to invest in assets you can borrow against, including stock, ETFs, real estate, crypto, and gold/silver. On the surface, this is a good strategy. While you can borrow against these things, borrowing against precious metals carries a higher interest rate (though I'm sure if you have tens of millions, you can find better rates, but most people don't have that much), and borrowing against crypto is dangerous. Hopefully crypto will become better protected, but right now, the company lending you money against your crypto can just run off with your crypto. It has happened.
The reason I rated the book 4 stars instead of 5 is solely because I'm more interested in buy, borrow, die than the tax coverage. If I bought the book for the tax avoidance, it would be a 5.
Overall, I highly recommend the book. I'm going to buy a copy for both of my children, who are in their 20's.
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Reviewed in the United States on March 14, 2025
★★★★★ 5
Informative process, with examples and suggestions!
Format: Paperback
Easy to read book on Buy, Borrow, Die method to build wealth for yourself and future generations. I learned enough that I bought the other books from Mark. His writing is comfortable, chapters are divided up nicely, and they are short enough that you can read one in just a few min (important for us people that get interrupted every 10 min).
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Reviewed in the United States on March 26, 2026
★★★★★ 5
Must Read
Format: Paperback
A must read if you are fed up and ready for change.
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Reviewed in the United States on April 11, 2026
★★★★★ 3
Zero taxes = zero country
Format: Paperback
Suppose every American was able to pay no taxes. What would happen? Seems reasonable that everyone should pay something to enjoy America’s freedom. It’s reasonable that we take advantage of tax laws but not to the point where no one pays taxes.
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Reviewed in the United States on March 15, 2026
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