Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
The St. Petersburg School of Number Theory
 
B. N. Delone
A co-publication of the AMS and London Mathematical Society
The St. Petersburg School of Number Theory
Hardcover ISBN:  978-0-8218-3457-2
Product Code:  HMATH/26
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
eBook ISBN:  978-1-4704-3894-4
Product Code:  HMATH/26.E
List Price: $120.00
MAA Member Price: $108.00
AMS Member Price: $96.00
Hardcover ISBN:  978-0-8218-3457-2
eBook: ISBN:  978-1-4704-3894-4
Product Code:  HMATH/26.B
List Price: $245.00 $185.00
MAA Member Price: $220.50 $166.50
AMS Member Price: $196.00 $148.00
Add to cart
The St. Petersburg School of Number Theory
Click above image for expanded view
The St. Petersburg School of Number Theory
B. N. Delone
A co-publication of the AMS and London Mathematical Society
Hardcover ISBN:  978-0-8218-3457-2
Product Code:  HMATH/26
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
eBook ISBN:  978-1-4704-3894-4
Product Code:  HMATH/26.E
List Price: $120.00
MAA Member Price: $108.00
AMS Member Price: $96.00
Hardcover ISBN:  978-0-8218-3457-2
eBook ISBN:  978-1-4704-3894-4
Product Code:  HMATH/26.B
List Price: $245.00 $185.00
MAA Member Price: $220.50 $166.50
AMS Member Price: $196.00 $148.00
Add to cart
  • Book Details
     
     
    History of Mathematics
    Volume: 26; 2005; 278 pp
    MSC: Primary 01; 11

    For over two centuries, the work of the St. Petersburg mathematicians in number theory has constituted a glorious contribution to mathematics. The Russian book, The St. Petersburg School of Number Theory, is about the life and work of prominent members of this school, such as Chebyshev, Korkin, Zolotarev, Markov, Voronoĭ, and Vinogradov. These mathematicians are indeed a very distinguished group. Their work in number theory is of the highest quality and continues to have lasting significance.

    This English translation acquaints the reader with the most important works of these six eminent members of the St. Petersburg school. A short biography is given for each of them, followed by an exposition of some of his most significant contributions. Each contribution features the author's original terminology and notation and is followed by commentary. Certain works receive relatively complete expositions, while others are dealt with more briefly.

    With a Foreword written for the English edition, this volume will appeal to a broad mathematical audience, including mathematical historians. It is particularly suitable for graduate students and researchers interested in number theory.
    Readership

    Historians, graduate students, and research mathematicians interested in number theory and mathematical history.
  • Table of Contents
     
     
    • Pafnutiĭ L’vovich Chebyshev (1821–1894)
    • Pafnutiĭ L’vovich Chebyshev
    • Chebyshev’s articles on the prime numbers
    • Aleksandr Nikolaevich Korkin (1837–1908)
    • Aleksandr Nikolaevich Korkin
    • The articles of Korkin and Zolotarev on the minima of positive quadratic forms
    • Egor Ivanovich Zolotarev (1847–1878)
    • Egor Ivanovich Zolotarev
    • Zolotarev’s memoirs on the theory of ideal numbers
    • Andreĭ Andreevich Markov (1856–1922)
    • Andreĭ Andreevich Markov
    • On binary quadratic forms of positive determinant
    • Georgiĭ Fedoseevich Voronoĭ (1868–1908)
    • Georgiĭ Fedoseevich Voronoĭ
    • Voronoĭ’s dissertations on algebraic numbers of the third degree
    • Voronoĭ’s memoir of 1903: “On a problem from the theory of asymptotic functions”
    • Voronoĭ’s memoirs on quadratic forms
    • Ivan Matveevich Vinogradov (1891–1983)
    • Ivan Matveevich Vinogradov
    • Works of Vinogradov from the first period of his mathematical activity
    • Waring’s problem
    • The Goldbach problem
    • Estimation of Weyl sums and the problem of the fractional parts of a polynomial
  • Additional Material
     
     
  • Reviews
     
     

    • (Readers) encounter a marvelous cross-section of topics from 19th and early 20th century number theory, very classical themes today, and certainly possessed of a classical beauty. ... It's a very interesting book on a number of counts.
      MAA Reviews

    • The book should be very interesting to a broad mathematical community, in particular mathematicians working in number theory as well as historians of mathematics concentrating on the development of mathematics in the second part of the 19th century.
      EMS Newsletter
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
History of Mathematics
Volume: 26; 2005; 278 pp
MSC: Primary 01; 11

For over two centuries, the work of the St. Petersburg mathematicians in number theory has constituted a glorious contribution to mathematics. The Russian book, The St. Petersburg School of Number Theory, is about the life and work of prominent members of this school, such as Chebyshev, Korkin, Zolotarev, Markov, Voronoĭ, and Vinogradov. These mathematicians are indeed a very distinguished group. Their work in number theory is of the highest quality and continues to have lasting significance.

This English translation acquaints the reader with the most important works of these six eminent members of the St. Petersburg school. A short biography is given for each of them, followed by an exposition of some of his most significant contributions. Each contribution features the author's original terminology and notation and is followed by commentary. Certain works receive relatively complete expositions, while others are dealt with more briefly.

With a Foreword written for the English edition, this volume will appeal to a broad mathematical audience, including mathematical historians. It is particularly suitable for graduate students and researchers interested in number theory.
Readership

Historians, graduate students, and research mathematicians interested in number theory and mathematical history.
  • Pafnutiĭ L’vovich Chebyshev (1821–1894)
  • Pafnutiĭ L’vovich Chebyshev
  • Chebyshev’s articles on the prime numbers
  • Aleksandr Nikolaevich Korkin (1837–1908)
  • Aleksandr Nikolaevich Korkin
  • The articles of Korkin and Zolotarev on the minima of positive quadratic forms
  • Egor Ivanovich Zolotarev (1847–1878)
  • Egor Ivanovich Zolotarev
  • Zolotarev’s memoirs on the theory of ideal numbers
  • Andreĭ Andreevich Markov (1856–1922)
  • Andreĭ Andreevich Markov
  • On binary quadratic forms of positive determinant
  • Georgiĭ Fedoseevich Voronoĭ (1868–1908)
  • Georgiĭ Fedoseevich Voronoĭ
  • Voronoĭ’s dissertations on algebraic numbers of the third degree
  • Voronoĭ’s memoir of 1903: “On a problem from the theory of asymptotic functions”
  • Voronoĭ’s memoirs on quadratic forms
  • Ivan Matveevich Vinogradov (1891–1983)
  • Ivan Matveevich Vinogradov
  • Works of Vinogradov from the first period of his mathematical activity
  • Waring’s problem
  • The Goldbach problem
  • Estimation of Weyl sums and the problem of the fractional parts of a polynomial

  • (Readers) encounter a marvelous cross-section of topics from 19th and early 20th century number theory, very classical themes today, and certainly possessed of a classical beauty. ... It's a very interesting book on a number of counts.
    MAA Reviews

  • The book should be very interesting to a broad mathematical community, in particular mathematicians working in number theory as well as historians of mathematics concentrating on the development of mathematics in the second part of the 19th century.
    EMS Newsletter
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Powered by MathJax
Please select which format for which you are requesting permissions.