The Theory Of Arithmetic
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A Selection Of Problems In The Theory Of Numbers
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Author : Waclaw Sierpinski
language : en
Publisher: Elsevier
Release Date : 2014-05-16
A Selection Of Problems In The Theory Of Numbers written by Waclaw Sierpinski and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-16 with Mathematics categories.
A Selection of Problems in the Theory of Numbers focuses on mathematical problems within the boundaries of geometry and arithmetic, including an introduction to prime numbers. This book discusses the conjecture of Goldbach; hypothesis of Gilbreath; decomposition of a natural number into prime factors; simple theorem of Fermat; and Lagrange's theorem. The decomposition of a prime number into the sum of two squares; quadratic residues; Mersenne numbers; solution of equations in prime numbers; and magic squares formed from prime numbers are also elaborated in this text. This publication is a good reference for students majoring in mathematics, specifically on arithmetic and geometry.
The Philosophy Of Arithmetic
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Author : Sir John Leslie
language : en
Publisher:
Release Date : 1817
The Philosophy Of Arithmetic written by Sir John Leslie and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1817 with Arithmetic categories.
The Higher Arithmetic
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Author : Harold Davenport
language : en
Publisher:
Release Date : 1968
The Higher Arithmetic written by Harold Davenport and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Number theory categories.
The Higher Arithmetic
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Author : H. Davenport
language : en
Publisher: Cambridge University Press
Release Date : 1999-12-09
The Higher Arithmetic written by H. Davenport and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-12-09 with Mathematics categories.
Seventh edition of a classic elementary number theory book.
An Introduction To The Theory Of Numbers
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Author : Leo Moser
language : en
Publisher: The Trillia Group
Release Date : 2004
An Introduction To The Theory Of Numbers written by Leo Moser and has been published by The Trillia Group this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
"This book, which presupposes familiarity only with the most elementary concepts of arithmetic (divisibility properties, greatest common divisor, etc.), is an expanded version of a series of lectures for graduate students on elementary number theory. Topics include: Compositions and Partitions; Arithmetic Functions; Distribution of Primes; Irrational Numbers; Congruences; Diophantine Equations; Combinatorial Number Theory; and Geometry of Numbers. Three sections of problems (which include exercises as well as unsolved problems) complete the text."--Publisher's description
The Theory Of Numbers
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Author : Anthony A. Gioia
language : en
Publisher:
Release Date : 1970
The Theory Of Numbers written by Anthony A. Gioia and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Mathematics categories.
The Arithmetic Theory Of Quadratic Forms
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Author : Burton W Jones
language : en
Publisher: American Mathematical Soc.
Release Date : 1950-12-31
The Arithmetic Theory Of Quadratic Forms written by Burton W Jones and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1950-12-31 with Forms, Binary categories.
This monograph presents the central ideas of the arithmetic theory of quadratic forms in self-contained form, assuming only knowledge of the fundamentals of matric theory and the theory of numbers. Pertinent concepts of p -adic numbers and quadratic ideals are introduced. It would have been possible to avoid these concepts, but the theory gains elegance as well as breadth by the introduction of such relationships. Some results, and many of the methods, are here presented for the first time. The development begins with the classical theory in the field of reals from the point of view of representation theory; for in these terms, many of the later objectives and methods may be revealed. The successive chapters gradually narrow the fields and rings until one has the tools at hand to deal with the classical problems in the ring of rational integers. The analytic theory of quadratic forms is not dealt with because of the delicate analysis involved. However, some of the more important results are stated and references are given.
Introduction To The Arithmetic Theory Of Automorphic Functions
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Author : Gorō Shimura
language : en
Publisher: Princeton University Press
Release Date : 1971-08-21
Introduction To The Arithmetic Theory Of Automorphic Functions written by Gorō Shimura and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971-08-21 with Mathematics categories.
The theory of automorphic forms is playing increasingly important roles in several branches of mathematics, even in physics, and is almost ubiquitous in number theory. This book introduces the reader to the subject and in particular to elliptic modular forms with emphasis on their number-theoretical aspects. After two chapters geared toward elementary levels, there follows a detailed treatment of the theory of Hecke operators, which associate zeta functions to modular forms. At a more advanced level, complex multiplication of elliptic curves and abelian varieties is discussed. The main question is the construction of abelian extensions of certain algebraic number fields, which is traditionally called "Hilbert's twelfth problem." Another advanced topic is the determination of the zeta function of an algebraic curve uniformized by modular functions, which supplies an indispensable background for the recent proof of Fermat's last theorem by Wiles.
An Introduction To The Theory Of Numbers
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Author : Ivan Niven
language : en
Publisher: John Wiley & Sons
Release Date : 1991-09-03
An Introduction To The Theory Of Numbers written by Ivan Niven and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-09-03 with Mathematics categories.
The Fifth Edition of one of the standard works on number theory, written by internationally-recognized mathematicians. Chapters are relatively self-contained for greater flexibility. New features include expanded treatment of the binomial theorem, techniques of numerical calculation and a section on public key cryptography. Contains an outstanding set of problems.
An Introduction To The Theory Of Numbers
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Author : Godfrey Harold Hardy
language : en
Publisher: Oxford University Press
Release Date : 1979
An Introduction To The Theory Of Numbers written by Godfrey Harold Hardy and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Science categories.
This is the fifth edition of a work (first published in 1938) which has become the standard introduction to the subject. The book has grown out of lectures delivered by the authors at Oxford, Cambridge, Aberdeen, and other universities. It is neither a systematic treatise on the theory of numbers nor a 'popular' book for non-mathematical readers. It contains short accounts of the elements of many different sides of the theory, not usually combined in a single volume; and, although it iswritten for mathematicians, the range of mathematical knowledge presupposed is not greater than that of an intelligent first-year student. In this edition the main changes are in the notes at the end of each chapter; Sir Edward Wright seeks to provide up-to-date references for the reader who wishes to pursue a particular topic further and to present, both in the notes and in the text, a reasonably accurate account of the present state of knowledge.