Mathematical Foundations for Design: Civil Engineering Systems (Dover Civil and Mechanical Engineering)

Major Percy A. Macmahon

ISBN 10: 0486495868 / ISBN 13: 9780486495866

Published by Dover Publications Inc., 2005

About this Item

VG condition book without dust jacket. Boards are clean with little wear. Book has clean and bright contents.

Seller Inventory # 9999-99987628453

Bibliographic Details

• Title: Mathematical Foundations for Design: Civil Engineering Systems (Dover Civil and Mechanical Engineering)
• Publisher: Dover Publications Inc.
• Publication Date: 2005
• ISBN 10: 0486495868
• ISBN 13: 9780486495866
• Condition: Very Good

About this title

Synopsis

This volume offers mathematicians and students an account of the theorems employed in combinatory analysis, showing their connections and bringing them together as parts of a general doctrine. Combinatory analysis as considered in this work occupies the ground between algebra and the higher arithmetic; the methods used here are distinctly algebraic and not arithmetic.
The first section shows that the general theory of combination is essentially involved in the algebra of monomial symmetric functions. The following section extends the simple theory of symmetric functions, making the point of departure no longer an integer, but the partition of an integer; thus, students deal not with the partitions of a number, but with the separations of a partition. This extension is important to the theory of distributions, and it enables the intuitive derivation of many theorems of algebraic reciprocity.
The third section is devoted to certain points in the theory of permutations that are of value in theories of combination or distribution, and the fourth section is entirely concerned with the compositions of numbers. The final sections deal with the perfect partitions of numbers as a necessary preliminary to the discussion of arrangements on a chessboard, and with the direct application of the theory of distributions to the enumeration of the partitions of multipartite numbers.