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, Voronoi, 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.
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First Sentence:
Pafnutii L'vovich Chebyshev was born on May 14 (26), 1821, on his father's property, which included the village Okatovo, situated in the Borovsk district, Kaluga province. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
primitive parallelohedra, primitive tesselation, doubly infinite chain, canonical inequalities, cubic number field, extremal lattices, extremal form, indefinite binary quadratic forms, integral complex numbers, indefinite ternary quadratic forms, ideal prime factor, fundamental parallelepiped, normal rectangle, prime ideal factors, complex integers, normalized frames, generating frame, adjacent simplices, densest lattice packing, relative minima, positive quadratic forms, continued fraction algorithm, positive ordinate, exact upper bound, hyperbolic rotation Key Phrases - Capitalized Phrases (CAPs): (learn more)
Academy of Sciences, Petersburg University, Ivan Matveevich, Aleksandr Nikolaevich Korkin, Andrei Andreevich Markov, Prime Number Theorem, Zolotarev's Master New!
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Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Pafnutii L'vovich Chebyshev was born on May 14 (26), 1821, on his father's property, which included the village Okatovo, situated in the Borovsk district, Kaluga province. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
primitive parallelohedra, primitive tesselation, doubly infinite chain, canonical inequalities, cubic number field, extremal lattices, extremal form, indefinite binary quadratic forms, integral complex numbers, indefinite ternary quadratic forms, ideal prime factor, fundamental parallelepiped, normal rectangle, prime ideal factors, complex integers, normalized frames, generating frame, adjacent simplices, densest lattice packing, relative minima, positive quadratic forms, continued fraction algorithm, positive ordinate, exact upper bound, hyperbolic rotation Key Phrases - Capitalized Phrases (CAPs): (learn more)
Academy of Sciences, Petersburg University, Ivan Matveevich, Aleksandr Nikolaevich Korkin, Andrei Andreevich Markov, Prime Number Theorem, Zolotarev's Master New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Citations (learn more)
This book cites 2
books:
- Elements of Number Theory (Dover Phoenix Editions) by Ivan Matveevich Vinogradov in Front Matter
- St. Petersburg (Eyewitness Travel Guides) by Catherine Phillips in Back Matter
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