Books written by Garrett Birkhoff

  • Numerical Solution of Elliptic Problems

    Southwell's relaxation methods were inspired by this classical mechanical analogy. He interpreted the Poisson DE –V*u = f(x,y) as “governing the small transverse displacement of a transversely loaded membrane” (Southwell [46, $38]), ...

  • 近世代数概论

    全书共分为15章,内容包括:整数、有理数和域、多项式、实数、复数、群、向量与向量空间、矩阵代数、线性群、行列式与标准型、布尔代数与格、超限算术、环与理想、代数数域和 ...

  • Numerical Solution of Elliptic Problems

    (3-2) V “U: lijui—l,j+bijui,j—l+rijui+l,j+tijui,j+l dijuij+€ijr di'j = li'j = ' ' ', 6 ... (Approximating normal derivatives is harder, by all methods!) For example, one can let this H This is the approximation used by Shortley-Weller ...

  • Lattice Theory

    Since its original publication in 1940, this book has been revised and modernized several times, most notably in 1948 (second edition) and in 1967 (third edition).

  • The Numerical Solution of Elliptic Equations

    This volume provides a case study in scientific computing?the art of utilizing physical intuition, mathematical theorems and algorithms, and modern computer technology to construct and explore realistic models of problems arising in the ...

  • Elliptic Problem Solvers

    The book focuses on various aspects of the numerical solution of elliptic boundary value problems.

  • Orbit Theory

    Leverrier's epoch is 1850 ; for T he chooses 250 years , and he computes the new elements for 1600 , 2100 , 2350. The practical merit of the procedure is obvious , but G. W. Hill [ 4 ] remarks that , though the two sets of formulas ...

  • Transport Theory

    The industrial and military applications of atomic energy have stimulated much mathematical research in neutron transport theory.

  • Trends in Lattice Theory

    Trends in Lattice Theory

  • Algebra: Third Edition

    The present book presents the developments from that time to the first printing of this book. This third edition includes corrections made by the authors.