Additive Number Theory The Classical Bases

Released on by Melvyn B. Nathanson
preview-18

  • Additive Number Theory The Classical Bases Book Detail

  • Author : Melvyn B. Nathanson
  • Release Date : 1996-06-25
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 362
  • ISBN 13 : 9780387946566
  • File Size : 56,56 MB
DOWNLOAD BOOK

Additive Number Theory The Classical Bases by Melvyn B. Nathanson PDF Summary

Book Description: [Hilbert's] style has not the terseness of many of our modem authors in mathematics, which is based on the assumption that printer's labor and paper are costly but the reader's effort and time are not. H. Weyl [143] The purpose of this book is to describe the classical problems in additive number theory and to introduce the circle method and the sieve method, which are the basic analytical and combinatorial tools used to attack these problems. This book is intended for students who want to lel?Ill additive number theory, not for experts who already know it. For this reason, proofs include many "unnecessary" and "obvious" steps; this is by design. The archetypical theorem in additive number theory is due to Lagrange: Every nonnegative integer is the sum of four squares. In general, the set A of nonnegative integers is called an additive basis of order h if every nonnegative integer can be written as the sum of h not necessarily distinct elements of A. Lagrange 's theorem is the statement that the squares are a basis of order four. The set A is called a basis offinite order if A is a basis of order h for some positive integer h. Additive number theory is in large part the study of bases of finite order. The classical bases are the squares, cubes, and higher powers; the polygonal numbers; and the prime numbers. The classical questions associated with these bases are Waring's problem and the Goldbach conjecture.

Disclaimer: www.yourbookbest.com does not own Additive Number Theory The Classical Bases books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Additive Number Theory The Classical Bases

Additive Number Theory The Classical Bases

File Size : 49,49 MB
Total View : 5184 Views
DOWNLOAD

[Hilbert's] style has not the terseness of many of our modem authors in mathematics, which is based on the assumption that printer's labor and paper are costly

Additive Theory of Prime Numbers

Additive Theory of Prime Numbers

File Size : 39,39 MB
Total View : 8798 Views
DOWNLOAD

Loo-Keng Hua was a master mathematician, best known for his work using analytic methods in number theory. In particular, Hua is remembered for his contributions

Additive Combinatorics

Additive Combinatorics

File Size : 90,90 MB
Total View : 9751 Views
DOWNLOAD

Additive combinatorics is the theory of counting additive structures in sets. This theory has seen exciting developments and dramatic changes in direction in re