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History of the theory of numbers

Dickson, Leonard Eugene

New York, NY

1966

History of the theory of numbers

Tác giả: Dickson, Leonard Eugene
Loại tài liệu: Sách, chuyên khảo, tuyển tập
Ký hiệu: Lv5277
Mã giá: 11DI
Nội dung tóm tắt: Xem chi tiết
This second volume is a comprehensive treatment of Diophantine analysis. Besides the familiar cases of Diophantine equations, this rubric also covers partitions, representations as a sum of two, three, four or ; squares, Waring's problem in general and Hilbert's solution of it, and perfect squares in artihmetical and geometrical progressions. Of course, many important Diophantine equations, such as Pell's equation, and classes of equations, such as quadratic, cubic and quartic equations, are treated in detail. As usual with Dickson, the account is encyclopedic and the references are numerous.
Mục lục: Xem chi tiết
Chapter I. Polynomial, Pyramidal and Figurate numbers II. Linear Diophantine Equations and Congruences III. Partitions IV. Rational Right Triangles V. Triangles, Quadrilaterals and Tetrahedra VI.Sum of Two Squares VII. Sum of Three Squares VIII. Sum of Four Squares IX. Sum of ; Squares X. Numbers of Solutions of Quadratic Congruences in ; Unknowns XII. Pell Equation; ; x^2+bx+ ; mad a Square XIII. Further Single Equations of the Second Degree XIV.Squares in Arithmetical or Gemetrical Progression XV. Two or more Linear Functions made Squares XVI. Two Quadratic Functions of one or two unknowns mad Squares XVII. Systems of two Equations of degree two XVIII. Three or more quadratic functions of one or two unknowns mad squares XIX. Systems of three or more equations of onw or two unknowns XX. Quadratic form made an ; power XXI. Equations of degree three XXII. Equations of degree four XXIII. Equations of degree n XXIV. Sets of integers with equal sums of like powers XXV. Waring's problem and related results XXVI. Fermat's theorem ; x^r+by^s=cz^ ; and the congruence ; ^n+y^n=z^n equiv

Thông tin chi tiết

    Dạng tài liệu:Bản in
    Chỉ số ISBN:0-8218-1935-6
    Ngôn ngữ:eng
    Mã giá:11DI
    Mã MSC:Đang cập nhật ...
    Tác giả:Dickson, Leonard Eugene
    Nhan đề:History of the theory of numbers
    Lần xuất bản:1
    Xuất bản, phát hành:H : New York, NY , 1966
    Số trang:803;
    Kích thước:24cm

Thông tin xếp giá

  • ĐKCB: 1145030074085
  • Tổng số bản: 1
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