Magic Squares and Cubes by William Symes Andrews.
Magic Squares and Cubes - Table of Contents
0. Publishers’ Preface
1. Introduction (By Paul Carus)
2. Magic Squares (By W. S. Andrews)
3. Magic Cubes (By W. S. Andrews)
4. The Franklin Squares (By W. S. Andrews)
5. Reflections on Magic Squares (By Paul Carus)
6. A Mathematical Study of Magic Squares (By L. S. Frierson)
7. Magics and Pythagorean Numbers (By C. A. Browne)
8. Some Curious Magic Squares and Combinations (By W. S. Andrews)
9. Notes on Various Constructive Plans by which Magic Squares May be Classified (By W. S. Andrews)
10. Magic Cubes of the Sixth Order
11. Various Kinds of Magic Squares
12. Sundry Constructive Methods
13. The Theory of Reversions (By Dr. C. Planck)
14. Magic Circles, Spheres and Stars
15. Magic Octahedroids
16. Ornate Magic Squares
17. Index
18. Diagrams of Completed Magics
What You Will Learn in Magic Squares and Cubes
"Magic Squares and Cubes" by "William Symes Andrews." is a classic work exploring the fascinating world of "magic squares" and "magic cubes". Published in the early 20th century, the book combines rigorous mathematical structure with recreational mathematics, making it appealing to both serious mathematicians and enthusiasts. Andrews examines the history, theory, and construction techniques of magic squares, highlighting their patterns, symmetry, and numerical properties.
The book provides step-by-step methods for constructing "magic squares" of various sizes, from simple 3×3 squares to complex higher-order arrangements. Andrews also explores extensions to three-dimensional "magic cubes", discussing how numbers can be arranged so that sums along rows, columns, and diagonals remain constant. Each section is designed to build intuition while offering practical examples, making it suitable for self-study and classroom use.
Beyond construction techniques, Andrews delves into the historical development and mathematical curiosity behind magic squares and cubes. The book encourages readers to explore patterns, numerical relationships, and the elegant structure of these mathematical objects. It remains a valuable resource for those interested in "number theory", recreational math, and combinatorial design, blending education with enjoyment in an accessible, engaging format.
Book Details & Specifications
Title:
Magic Squares and Cubes by William Symes Andrews.
Publisher:
Dover
Year:
1917
Pages:
428
Type:
PDF
Language:
English
ISBN-10 #:
1258745593
ISBN-13 #:
978-1258745592
License:
Public Domain Work
Amazon:
Amazon
About the Author: William Symes Andrews.
The author
William Symes Andrews.
was a British mathematician and author known for his work in "recreational mathematics". He gained lasting recognition through his studies of numerical patterns and mathematical curiosities, especially those that blend logic, symmetry, and creativity. His writing made complex ideas approachable for both scholars and general readers. His book, "Magic Squares and Cubes", explores the construction, history, and theory of "magic squares" and higher-dimensional number arrangements. It explains methods for building squares of different orders and introduces "magic cubes", offering clear examples and diagrams.
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