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I. G. Bashmakova
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Diophantus and Diophantine Equations (Dolciani Mathematical Expositions)

3.9 3.9 out of 5 stars 3 ratings
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This book tells the story of Diophantine analysis, a subject that, owing to its thematic proximity to algebraic geometry, became fashionable in the last half century and has remained so ever since. This new treatment of the methods of Diophantus - a person whose very existence has long been doubted by most historians of mathematics - will be accessible to readers who have taken some university mathematics. It includes the elementary facts of algebraic geometry indispensable for its understanding. The heart of the book is a fascinating account of the development of Diophantine methods during the Renaissance and in the work of Fermat. This account is continued to our own day and ends with an afterword by Joseph Silverman who notes the most recent developments including the proof of Fermat's Last Theorem.
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  1. ISBN-10
    0883855267
  2. ISBN-13
    978-0883855263
  3. Publisher
    The Mathematical Association of America
  4. Publication date
    January 1, 1997
  5. Language
    English
  6. Dimensions
    6.25 x 0.5 x 9 inches
  7. Print length
    103 pages
  8. See all details
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Editorial Reviews

Review

This book deserves the highest praise. For general readers: undergraduates through professionals. -- Choice

Book Description

Semi-popular maths on an area of number theory related to Fermat.

Product details

  • Publisher ‏ : ‎ The Mathematical Association of America (January 1, 1997)
  • Language ‏ : ‎ English
  • Paperback ‏ : ‎ 103 pages
  • ISBN-10 ‏ : ‎ 0883855267
  • ISBN-13 ‏ : ‎ 978-0883855263
  • Item Weight ‏ : ‎ 4.8 ounces
  • Dimensions ‏ : ‎ 6.25 x 0.5 x 9 inches
  • Customer Reviews:
    3.9 3.9 out of 5 stars 3 ratings

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I. G. Bashmakova

I. G. Bashmakova

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Customer reviews

3.9 out of 5 stars
3.9 out of 5
We don’t use a simple average to calculate the overall star rating and percentage breakdown by star. Our system gives more weight to certain factors—including how recent the review is and if the reviewer bought it on Amazon. Learn more
3 global ratings
Excellent author and content, incompetent publisher with over 50 wrongly typeset equations
2 Stars
Excellent author and content, incompetent publisher with over 50 wrongly typeset equations
It's completely the publisher's fault and not the author's. Someone needs to make sure that the "y" is printed in equations where the author intended there to be a "y" variable, rather than leaving a blank space. This book is marred by at least 50 wrong equations caused by missing "y" variables (for some reason all of the "x" are fine). Since I was trying to learn, it wasn't a major problem - it's kind of like when you're in school and the teacher gives you notes with many blanks which you need to fill in during lectures to keep you from nodding off. So that's how it is with this book. You have to derive everything as you go to fix all the typesetting issues. The content is great - it's a thin book which you can get through in less than a week and the author makes very good comments about Diophantus which I found very insightful - I learned a lot from this book in a short time - but be sure to have a pencil on hand to fix all of the equations. I spotted missing brackets too. What a mess! What kind of math publisher can let such a garbage printing through without anyone noticing all the obviously wrong equations with blank areas in them?
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Top reviews from the United States

Leandrea Hall
5.0 out of 5 stars Wonderful gem of a book!
Reviewed in the United States on September 21, 2018
Verified Purchase
Excellent book for anyone interested in number theory, elliptic curves, cryptography, math history or just general math nerds. It is fascinating to read about the history of number theory and especially how Bashmakova has reconstructed the ancient methods used by Diophantus. To find out more about it search on YouTube for a lecture on Elliptic Curve Cryptography given by Dan Boneh. In it he recommends this book and briefly goes over the relevance of it's content in the modern world.
One person found this helpful
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Aaron
2.0 out of 5 stars Excellent author and content, incompetent publisher with over 50 wrongly typeset equations
Reviewed in the United States on August 17, 2021
Verified Purchase
It's completely the publisher's fault and not the author's. Someone needs to make sure that the "y" is printed in equations where the author intended there to be a "y" variable, rather than leaving a blank space. This book is marred by at least 50 wrong equations caused by missing "y" variables (for some reason all of the "x" are fine). Since I was trying to learn, it wasn't a major problem - it's kind of like when you're in school and the teacher gives you notes with many blanks which you need to fill in during lectures to keep you from nodding off. So that's how it is with this book. You have to derive everything as you go to fix all the typesetting issues. The content is great - it's a thin book which you can get through in less than a week and the author makes very good comments about Diophantus which I found very insightful - I learned a lot from this book in a short time - but be sure to have a pencil on hand to fix all of the equations. I spotted missing brackets too. What a mess! What kind of math publisher can let such a garbage printing through without anyone noticing all the obviously wrong equations with blank areas in them?
Customer image
Aaron
2.0 out of 5 stars Excellent author and content, incompetent publisher with over 50 wrongly typeset equations
Reviewed in the United States on August 17, 2021
It's completely the publisher's fault and not the author's. Someone needs to make sure that the "y" is printed in equations where the author intended there to be a "y" variable, rather than leaving a blank space. This book is marred by at least 50 wrong equations caused by missing "y" variables (for some reason all of the "x" are fine). Since I was trying to learn, it wasn't a major problem - it's kind of like when you're in school and the teacher gives you notes with many blanks which you need to fill in during lectures to keep you from nodding off. So that's how it is with this book. You have to derive everything as you go to fix all the typesetting issues. The content is great - it's a thin book which you can get through in less than a week and the author makes very good comments about Diophantus which I found very insightful - I learned a lot from this book in a short time - but be sure to have a pencil on hand to fix all of the equations. I spotted missing brackets too. What a mess! What kind of math publisher can let such a garbage printing through without anyone noticing all the obviously wrong equations with blank areas in them?
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One person found this helpful
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