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Kvant Selecta: Algebra and Analysis, I
 
Edited by: Serge Tabachnikov University of Arkansas at Fayetteville, Fayetteville, AR
Kvant Selecta: Algebra and Analysis, I
Softcover ISBN:  978-0-8218-1002-6
Product Code:  MAWRLD/14
List Price: $49.00
MAA Member Price: $44.10
AMS Member Price: $39.20
eBook ISBN:  978-1-4704-6826-2
Product Code:  MAWRLD/14.E
List Price: $45.00
MAA Member Price: $40.50
AMS Member Price: $36.00
Softcover ISBN:  978-0-8218-1002-6
eBook: ISBN:  978-1-4704-6826-2
Product Code:  MAWRLD/14.B
List Price: $94.00 $71.50
MAA Member Price: $84.60 $64.35
AMS Member Price: $75.20 $57.20
Kvant Selecta: Algebra and Analysis, I
Click above image for expanded view
Kvant Selecta: Algebra and Analysis, I
Edited by: Serge Tabachnikov University of Arkansas at Fayetteville, Fayetteville, AR
Softcover ISBN:  978-0-8218-1002-6
Product Code:  MAWRLD/14
List Price: $49.00
MAA Member Price: $44.10
AMS Member Price: $39.20
eBook ISBN:  978-1-4704-6826-2
Product Code:  MAWRLD/14.E
List Price: $45.00
MAA Member Price: $40.50
AMS Member Price: $36.00
Softcover ISBN:  978-0-8218-1002-6
eBook ISBN:  978-1-4704-6826-2
Product Code:  MAWRLD/14.B
List Price: $94.00 $71.50
MAA Member Price: $84.60 $64.35
AMS Member Price: $75.20 $57.20
  • Book Details
     
     
    Mathematical World
    Volume: 141999; 155 pp
    MSC: 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 cutting-edge 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.
    Readership

    Advanced 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 $\binom {n}{m} = \binom {n+1}{m-1}$
    • 11. On regular polygons, Euler’s function, and Fermat numbers
    • 12. 2-adic 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 co-exists with fun and accessibility.

      Zentralblatt MATH
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 141999; 155 pp
MSC: 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 cutting-edge 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.
Readership

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 $\binom {n}{m} = \binom {n+1}{m-1}$
  • 11. On regular polygons, Euler’s function, and Fermat numbers
  • 12. 2-adic 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 co-exists with fun and accessibility.

    Zentralblatt MATH
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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