Softcover ISBN:  9780821810026 
Product Code:  MAWRLD/14 
List Price:  $31.00 
MAA Member Price:  $27.90 
AMS Member Price:  $24.80 
Electronic ISBN:  9781470468262 
Product Code:  MAWRLD/14.E 
List Price:  $31.00 
MAA Member Price:  $27.90 
AMS Member Price:  $24.80 

Book DetailsMathematical WorldVolume: 14; 1999; 155 ppMSC: Primary 00;
This volume and
Kvant Selecta: Algebra and Analysis, II (MAWRLD/15) are the first volumes of articles published from 1970 to 1990 in the Russian journal,Kvant . The influence of this magazine on mathematics and physics education in Russia is unmatched. This collection represents the Russian tradition of expository mathematical writing at its best.
Articles selected for these two volumes are written by leading Russian mathematicians and expositors. Some articles contain classical mathematical gems still used in university curricula today. Others feature cuttingedge research from the twentieth century.
The articles in these books are written so as to present genuine mathematics in a conceptual, entertaining, and accessible way. The volumes are designed to be used by students and teachers who love mathematics and want to study its various aspects, thus deepening and expanding the school curriculum.
The first volume is mainly devoted to various topics in number theory, whereas the second volume treats diverse aspects of analysis and algebra.ReadershipAdvanced high school and undergraduate students interested in mathematics; mathematics teachers in high schools and colleges.

Table of Contents

Chapters

1. The arithmetic of binomial coefficients

2. Do you like messing around with integers?

3. On Bertrand’s conjecture

4. On best approximations. I

5. On best approximations. II

6. On a certain property of binomial coefficients

7. On $n!$ and the number $e$ (Several approaches to a certain problem)

8. Rational approximations and transcendence

9. Close fractions

10. On the equation $\binom {n}{m} = \binom {n+1}{m1}$

11. On regular polygons, Euler’s function, and Fermat numbers

12. 2adic numbers

13. On the number $e$

14. Markov’s Diophantine equation

15. The arithmetic of Gaussian integers

16. Three formulas of Ramanujan

17. Amazing adventures in the land of repeating decimals


Additional Material

Reviews

The slate of the authors is most impressive … It becomes even more impressive in view of the fact that these ‘serious’ mathematicians went out of their way to make their sophisticated material understandable by a broad readership … a welcome edition to mathematics literature where rigor coexists with fun and accessibility.
Zentralblatt MATH


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 Book Details
 Table of Contents
 Additional Material
 Reviews
 Requests
This volume and
Articles selected for these two volumes are written by leading Russian mathematicians and expositors. Some articles contain classical mathematical gems still used in university curricula today. Others feature cuttingedge research from the twentieth century.
The articles in these books are written so as to present genuine mathematics in a conceptual, entertaining, and accessible way. The volumes are designed to be used by students and teachers who love mathematics and want to study its various aspects, thus deepening and expanding the school curriculum.
The first volume is mainly devoted to various topics in number theory, whereas the second volume treats diverse aspects of analysis and algebra.
Advanced high school and undergraduate students interested in mathematics; mathematics teachers in high schools and colleges.

Chapters

1. The arithmetic of binomial coefficients

2. Do you like messing around with integers?

3. On Bertrand’s conjecture

4. On best approximations. I

5. On best approximations. II

6. On a certain property of binomial coefficients

7. On $n!$ and the number $e$ (Several approaches to a certain problem)

8. Rational approximations and transcendence

9. Close fractions

10. On the equation $\binom {n}{m} = \binom {n+1}{m1}$

11. On regular polygons, Euler’s function, and Fermat numbers

12. 2adic numbers

13. On the number $e$

14. Markov’s Diophantine equation

15. The arithmetic of Gaussian integers

16. Three formulas of Ramanujan

17. Amazing adventures in the land of repeating decimals

The slate of the authors is most impressive … It becomes even more impressive in view of the fact that these ‘serious’ mathematicians went out of their way to make their sophisticated material understandable by a broad readership … a welcome edition to mathematics literature where rigor coexists with fun and accessibility.
Zentralblatt MATH