Softcover ISBN:  9780821819159 
Product Code:  MAWRLD/15 
List Price:  $49.00 
MAA Member Price:  $44.10 
AMS Member Price:  $39.20 
eBook ISBN:  9781470468804 
Product Code:  MAWRLD/15.E 
List Price:  $45.00 
MAA Member Price:  $40.50 
AMS Member Price:  $36.00 
Softcover ISBN:  9780821819159 
eBook: ISBN:  9781470468804 
Product Code:  MAWRLD/15.B 
List Price:  $94.00 $71.50 
MAA Member Price:  $84.60 $64.35 
AMS Member Price:  $75.20 $57.20 
Softcover ISBN:  9780821819159 
Product Code:  MAWRLD/15 
List Price:  $49.00 
MAA Member Price:  $44.10 
AMS Member Price:  $39.20 
eBook ISBN:  9781470468804 
Product Code:  MAWRLD/15.E 
List Price:  $45.00 
MAA Member Price:  $40.50 
AMS Member Price:  $36.00 
Softcover ISBN:  9780821819159 
eBook ISBN:  9781470468804 
Product Code:  MAWRLD/15.B 
List Price:  $94.00 $71.50 
MAA Member Price:  $84.60 $64.35 
AMS Member Price:  $75.20 $57.20 

Book DetailsMathematical WorldVolume: 15; 1999; 165 ppMSC: Primary 00;
This volume and Kvant Selecta: Algebra and Analysis, I (MAWRLD/14) 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.
Cover art created by Sergei Ivanov. Used with permission.ReadershipAdvanced high school and undergraduate students interested in mathematics; mathematics teachers in high schools and colleges.

Table of Contents

Chapters

1. Binomial coefficients, polynomials, and sequences (Several approaches to a certain problem)

2. Formulas for prime numbers

3. Fermat’s theorem for polynomials

4. Commuting polynomials

5. On the removal of parentheses, on Euler, Gauss, and Macdonald, and on missed opportunities

6. Chebyshev polynomials and recurrence relations

7. Why resistance does not decrease

8. Evolution processes and ordinary differential equations

9. Irrationality and irreducibility

10. Irreducibility and irrationality

11. The arithmetic of elliptic curves

12. Pascal’s hexagrams and cubic curves

13. Kepler’s second law and the topology of Abelian integrals (According to Newton)

14. Partitions of integers

15. On the Denogardus great number and Hooke’s law

16. Polynomials having least deviation from zero


Additional Material

Reviews

The slate of the authors is most impressive ... It is most impressive and commendable 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


RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
 Book Details
 Table of Contents
 Additional Material
 Reviews
 Requests
This volume and Kvant Selecta: Algebra and Analysis, I (MAWRLD/14) 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.
Advanced high school and undergraduate students interested in mathematics; mathematics teachers in high schools and colleges.

Chapters

1. Binomial coefficients, polynomials, and sequences (Several approaches to a certain problem)

2. Formulas for prime numbers

3. Fermat’s theorem for polynomials

4. Commuting polynomials

5. On the removal of parentheses, on Euler, Gauss, and Macdonald, and on missed opportunities

6. Chebyshev polynomials and recurrence relations

7. Why resistance does not decrease

8. Evolution processes and ordinary differential equations

9. Irrationality and irreducibility

10. Irreducibility and irrationality

11. The arithmetic of elliptic curves

12. Pascal’s hexagrams and cubic curves

13. Kepler’s second law and the topology of Abelian integrals (According to Newton)

14. Partitions of integers

15. On the Denogardus great number and Hooke’s law

16. Polynomials having least deviation from zero

The slate of the authors is most impressive ... It is most impressive and commendable 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