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Tag Archives: number theory
A Collection of Problems in The Theory of Numbers – Sierpinski
In this post, we will see the book A Collection of Problems in The Theory of Numbers by Waclaw Sierpinski. About the book A Selection of Problems in the Theory of Numbers focuses on mathematical problems within the boundaries … Continue reading
Posted in books, mathematics, soviet
Tagged arithmetic progressions, difficult problems, elementary problems, fermat numbers, goldbach conjecture, high school, lagrange's theorem, mathematics, mersenne numbers, natural numbers, number theory, patterns, polynomials, prime factors, prime numbers, problem books, problems, solutions
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Elements of Number Theory – Vinogradov
In this post, we will see the book Elements Of Number Theory by I. M. Vinogradov. About the book (from the author) In my book I present a systematic exposition of the funda mentals of number theory within the scope … Continue reading
Posted in books, mathematics, soviet
Tagged composite modulus, congruences, congruences of second degree, continued fractions, divisibility theory, Euclid’s Algorithm, Euler Function, fermat's theorem, mathematics, Mobius Function, number theoretical functions, number theory, prime numbers, primitive indices, primitive roots, residues, soviet
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Criteria For Divisibility (Popular Lectures in Mathematics Vol 16) – Vorob’ev
In this post, we will see the book Criteria For Divisibility by N. N. Vorob’ev. This book is Volume 16 of Popular Lectures in Mathematics series. About the book N. N. Vorob’ev’s Criteria for Divisibility introduces the high school or … Continue reading
Posted in books, mathematics, popular lectures in mathematics, soviet
Tagged algorithms, divisibility, equivalence classes, equivalence relations, integers, linear ordering, mathematics, number theory, numbers, partial ordering, popular lectures in mathematics, sets, soviet, well-ordered sets, well-ordering principles
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Generalized Functions (Vols. 1-6) – Gelfand, Shilov, Graev, Vilenkin, Pyatetskii-Shapiro
In this post we will see the six volume set of Generalized Functions by I. M. Gelfand, G. E. Shilov, M. I. Graev, N. Ya. Vilenkin, I. I. Pyatetskii-Shapiro. About the books The first systematic theory of generalized functions (also … Continue reading
Posted in books, mathematics, soviet
Tagged 2 spaces, analysis, automorphic forms, cauchy problems, complex space, convolution, decomposition, differential equations, differentiation, fields, fourier transforms, general spaces, generalized eigenfunctions, generalized functions, generalized random processes, harmonic analysis, homogeneous spaces, integral geometry, integration, k spaces, kernel theorem, lie groups, linear topological spaces, lorentz group, mathematics, measure, nuclear spaces, number theory, operators, p-adic fields, paley-wiener theorem, partial differential equations, particular types, positive deifinite generalized functions, power series, properties, radon transform, representation theory, rigged hilbert space, rings, s spaces, schwartz spaces, soviet, subgroups, theory, transforms, type-s spaces, unimodular matrices, uniqueness of solutions
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Three Pearls of Number Theory – Khinchin
In this post, we will see the book Three Pearls of Number Theory by A. Y. Khinchin. About the book This little book is devoted to three theorems in arithmetic, which, in spite of their apparent simplicity, have been the … Continue reading
Fibonacci Numbers – Vorob’ev
In this post, we will see the book Fibonacci Numbers by N. N. Vorob’ev. This book is a part of the Popular Lectures In Mathematics series. About the book In elementary mathematics there are many difficult and interesting problems not connected … Continue reading
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