Author: Kathleen Ollerenshaw
Publisher:
ISBN:
Category : Magic squares
Languages : en
Pages : 188
Book Description
Most-perfect Pandiagonal Magic Squares
Author: Kathleen Ollerenshaw
Publisher:
ISBN:
Category : Magic squares
Languages : en
Pages : 188
Book Description
Publisher:
ISBN:
Category : Magic squares
Languages : en
Pages : 188
Book Description
The Zen of Magic Squares, Circles, and Stars
Author: Clifford A. Pickover
Publisher: Princeton University Press
ISBN: 1400841518
Category : Mathematics
Languages : en
Pages : 424
Book Description
Humanity's love affair with mathematics and mysticism reached a critical juncture, legend has it, on the back of a turtle in ancient China. As Clifford Pickover briefly recounts in this enthralling book, the most comprehensive in decades on magic squares, Emperor Yu was supposedly strolling along the Yellow River one day around 2200 B.C. when he spotted the creature: its shell had a series of dots within squares. To Yu's amazement, each row of squares contained fifteen dots, as did the columns and diagonals. When he added any two cells opposite along a line through the center square, like 2 and 8, he always arrived at 10. The turtle, unwitting inspirer of the ''Yu'' square, went on to a life of courtly comfort and fame. Pickover explains why Chinese emperors, Babylonian astrologer-priests, prehistoric cave people in France, and ancient Mayans of the Yucatan were convinced that magic squares--arrays filled with numbers or letters in certain arrangements--held the secret of the universe. Since the dawn of civilization, he writes, humans have invoked such patterns to ward off evil and bring good fortune. Yet who would have guessed that in the twenty-first century, mathematicians would be studying magic squares so immense and in so many dimensions that the objects defy ordinary human contemplation and visualization? Readers are treated to a colorful history of magic squares and similar structures, their construction, and classification along with a remarkable variety of newly discovered objects ranging from ornate inlaid magic cubes to hypercubes. Illustrated examples occur throughout, with some patterns from the author's own experiments. The tesseracts, circles, spheres, and stars that he presents perfectly convey the age-old devotion of the math-minded to this Zenlike quest. Number lovers, puzzle aficionados, and math enthusiasts will treasure this rich and lively encyclopedia of one of the few areas of mathematics where the contributions of even nonspecialists count.
Publisher: Princeton University Press
ISBN: 1400841518
Category : Mathematics
Languages : en
Pages : 424
Book Description
Humanity's love affair with mathematics and mysticism reached a critical juncture, legend has it, on the back of a turtle in ancient China. As Clifford Pickover briefly recounts in this enthralling book, the most comprehensive in decades on magic squares, Emperor Yu was supposedly strolling along the Yellow River one day around 2200 B.C. when he spotted the creature: its shell had a series of dots within squares. To Yu's amazement, each row of squares contained fifteen dots, as did the columns and diagonals. When he added any two cells opposite along a line through the center square, like 2 and 8, he always arrived at 10. The turtle, unwitting inspirer of the ''Yu'' square, went on to a life of courtly comfort and fame. Pickover explains why Chinese emperors, Babylonian astrologer-priests, prehistoric cave people in France, and ancient Mayans of the Yucatan were convinced that magic squares--arrays filled with numbers or letters in certain arrangements--held the secret of the universe. Since the dawn of civilization, he writes, humans have invoked such patterns to ward off evil and bring good fortune. Yet who would have guessed that in the twenty-first century, mathematicians would be studying magic squares so immense and in so many dimensions that the objects defy ordinary human contemplation and visualization? Readers are treated to a colorful history of magic squares and similar structures, their construction, and classification along with a remarkable variety of newly discovered objects ranging from ornate inlaid magic cubes to hypercubes. Illustrated examples occur throughout, with some patterns from the author's own experiments. The tesseracts, circles, spheres, and stars that he presents perfectly convey the age-old devotion of the math-minded to this Zenlike quest. Number lovers, puzzle aficionados, and math enthusiasts will treasure this rich and lively encyclopedia of one of the few areas of mathematics where the contributions of even nonspecialists count.
The Zen Of Magic Squares,Circles And Stars
Author: M K Joseph
Publisher: Universities Press
ISBN: 9788173714665
Category :
Languages : en
Pages : 434
Book Description
Publisher: Universities Press
ISBN: 9788173714665
Category :
Languages : en
Pages : 434
Book Description
Magic Squares
Author: Jacques Sesiano
Publisher: Springer
ISBN: 3030179931
Category : Mathematics
Languages : en
Pages : 321
Book Description
The science of magic squares witnessed an important development in the Islamic world during the Middle Ages, with a great variety of construction methods being created and ameliorated. The initial step was the translation, in the ninth century, of an anonymous Greek text containing the description of certain highly developed arrangements, no doubt the culmination of ancient research on magic squares.
Publisher: Springer
ISBN: 3030179931
Category : Mathematics
Languages : en
Pages : 321
Book Description
The science of magic squares witnessed an important development in the Islamic world during the Middle Ages, with a great variety of construction methods being created and ameliorated. The initial step was the translation, in the ninth century, of an anonymous Greek text containing the description of certain highly developed arrangements, no doubt the culmination of ancient research on magic squares.
The Kingdom of Infinite Number
Author: Bryan Bunch
Publisher: Macmillan
ISBN: 9780716744474
Category : Mathematics
Languages : en
Pages : 414
Book Description
A guide to numbers, suggesting ways of looking at individual numbers and their unique properties.
Publisher: Macmillan
ISBN: 9780716744474
Category : Mathematics
Languages : en
Pages : 414
Book Description
A guide to numbers, suggesting ways of looking at individual numbers and their unique properties.
To Talk of Many Things
Author: Dame Kathleen Ollerenshaw
Publisher: Manchester University Press
ISBN: 9780719069871
Category : Biography & Autobiography
Languages : en
Pages : 324
Book Description
A remarkable account of the life of Dame Kathleen Ollerenshaw, former Lord Mayor, Freeman of the City of Manchester, and President of the Insitute of Mathematics.
Publisher: Manchester University Press
ISBN: 9780719069871
Category : Biography & Autobiography
Languages : en
Pages : 324
Book Description
A remarkable account of the life of Dame Kathleen Ollerenshaw, former Lord Mayor, Freeman of the City of Manchester, and President of the Insitute of Mathematics.
Magic Square Lexicon
Author: Harvey D. Heinz
Publisher: Surrey, B.C. : HDH
ISBN: 9780968798508
Category : Magic cubes
Languages : en
Pages : 184
Book Description
This book defines 239 terms associated with magic squares, cubes, tesseracts, stars, hexagrams, etc. Many tables compare characteristics between orders or dimensions. The illustrations were chosen, where possible, to demonstrate additional features besides the particular definition.
Publisher: Surrey, B.C. : HDH
ISBN: 9780968798508
Category : Magic cubes
Languages : en
Pages : 184
Book Description
This book defines 239 terms associated with magic squares, cubes, tesseracts, stars, hexagrams, etc. Many tables compare characteristics between orders or dimensions. The illustrations were chosen, where possible, to demonstrate additional features besides the particular definition.
A Gardner's Workout
Author: Martin Gardner
Publisher: CRC Press
ISBN: 1439864098
Category : Mathematics
Languages : en
Pages : 332
Book Description
For many decades, Martin Gardner, the Grand Master of mathematical puzzles, has provided the tools and projects to furnish our all-too-sluggish minds with an athletic workout. Gardner's problems foster an agility of the mind as they entertain. This volume presents a new collection of problems and puzzles not previously published in book form. Martin Gardner has dedicated it to "all the underpaid teachers of mathematics everywhere, who love their subject and are able to communicate that love to their students."
Publisher: CRC Press
ISBN: 1439864098
Category : Mathematics
Languages : en
Pages : 332
Book Description
For many decades, Martin Gardner, the Grand Master of mathematical puzzles, has provided the tools and projects to furnish our all-too-sluggish minds with an athletic workout. Gardner's problems foster an agility of the mind as they entertain. This volume presents a new collection of problems and puzzles not previously published in book form. Martin Gardner has dedicated it to "all the underpaid teachers of mathematics everywhere, who love their subject and are able to communicate that love to their students."
Principles and Practice of Constraint Programming - CP 2005
Author: Peter van Beek
Publisher: Springer
ISBN: 3540320504
Category : Computers
Languages : en
Pages : 906
Book Description
The 11th International Conference on the Principles and Practice of Constraint Programming (CP 2005) was held in Sitges (Barcelona), Spain, October 1-5, 2005. Information about the conference can be found on the web at http://www.iiia.csic.es/cp2005/.Informationaboutpastconferencesinthe series can be found athttp://www.cs.ualberta.ca/~ai/cp/. The CP conference series is the premier international conference on c- straint programming and is held annually. The conference is concerned with all aspects of computing with constraints, including: algorithms, applications, environments, languages, models and systems. This year, we received 164 submissions. All of the submitted papers received atleastthreereviews, andthepapersandtheirreviewswerethenextensivelyd- cussed during an online Program Committee meeting. As a result, the Program Committee chose 48 (29.3%) papers to be published in full in the proceedings and a further 22 (13.4%)papers to be published as short papers.The full papers werepresentedattheconferencein twoparalleltracksandtheshortpaperswere presented as posters during a lively evening session. Two papers were selected by a subcommittee of the ProgramCommittee--consisting of Chris Beck, Gilles Pesant, and myself--to receive best paper awards. The conference program also includedexcellentinvitedtalksbyHþ ectorGe?ner, IanHorrocks, FrancescaRossi, and Peter J. Stuckey. As a permanent record, the proceedings contain four-page extended abstracts of the invited talks.
Publisher: Springer
ISBN: 3540320504
Category : Computers
Languages : en
Pages : 906
Book Description
The 11th International Conference on the Principles and Practice of Constraint Programming (CP 2005) was held in Sitges (Barcelona), Spain, October 1-5, 2005. Information about the conference can be found on the web at http://www.iiia.csic.es/cp2005/.Informationaboutpastconferencesinthe series can be found athttp://www.cs.ualberta.ca/~ai/cp/. The CP conference series is the premier international conference on c- straint programming and is held annually. The conference is concerned with all aspects of computing with constraints, including: algorithms, applications, environments, languages, models and systems. This year, we received 164 submissions. All of the submitted papers received atleastthreereviews, andthepapersandtheirreviewswerethenextensivelyd- cussed during an online Program Committee meeting. As a result, the Program Committee chose 48 (29.3%) papers to be published in full in the proceedings and a further 22 (13.4%)papers to be published as short papers.The full papers werepresentedattheconferencein twoparalleltracksandtheshortpaperswere presented as posters during a lively evening session. Two papers were selected by a subcommittee of the ProgramCommittee--consisting of Chris Beck, Gilles Pesant, and myself--to receive best paper awards. The conference program also includedexcellentinvitedtalksbyHþ ectorGe?ner, IanHorrocks, FrancescaRossi, and Peter J. Stuckey. As a permanent record, the proceedings contain four-page extended abstracts of the invited talks.
Mathematical Recreations and Essays
Author: W. W. Rouse Ball
Publisher: Createspace Independent Publishing Platform
ISBN: 9781722814885
Category :
Languages : en
Pages : 376
Book Description
Mathematical Recreations and Essays W. W. Rouse Ball For nearly a century, this sparkling classic has provided stimulating hours of entertainment to the mathematically inclined. The problems posed here often involve fundamental mathematical methods and notions, but their chief appeal is their capacity to tease and delight. In these pages you will find scores of "recreations" to amuse you and to challenge your problem-solving faculties-often to the limit. Now in its 13th edition, Mathematical Recreations and Essays has been thoroughly revised and updated over the decades since its first publication in 1892. This latest edition retains all the remarkable character of the original, but the terminology and treatment of some problems have been updated and new material has been added. Among the challenges in store for you: Arithmetical and geometrical recreations; Polyhedra; Chess-board recreations; Magic squares; Map-coloring problems; Unicursal problems; Cryptography and cryptanalysis; Calculating prodigies; ... and more. You'll even find problems which mathematical ingenuity can solve but the computer cannot. No knowledge of calculus or analytic geometry is necessary to enjoy these games and puzzles. With basic mathematical skills and the desire to meet a challenge you can put yourself to the test and win. "A must to add to your mathematics library."-The Mathematics Teacher We are delighted to publish this classic book as part of our extensive Classic Library collection. Many of the books in our collection have been out of print for decades, and therefore have not been accessible to the general public. The aim of our publishing program is to facilitate rapid access to this vast reservoir of literature, and our view is that this is a significant literary work, which deserves to be brought back into print after many decades. The contents of the vast majority of titles in the Classic Library have been scanned from the original works. To ensure a high quality product, each title has been meticulously hand curated by our staff. Our philosophy has been guided by a desire to provide the reader with a book that is as close as possible to ownership of the original work. We hope that you will enjoy this wonderful classic work, and that for you it becomes an enriching experience.
Publisher: Createspace Independent Publishing Platform
ISBN: 9781722814885
Category :
Languages : en
Pages : 376
Book Description
Mathematical Recreations and Essays W. W. Rouse Ball For nearly a century, this sparkling classic has provided stimulating hours of entertainment to the mathematically inclined. The problems posed here often involve fundamental mathematical methods and notions, but their chief appeal is their capacity to tease and delight. In these pages you will find scores of "recreations" to amuse you and to challenge your problem-solving faculties-often to the limit. Now in its 13th edition, Mathematical Recreations and Essays has been thoroughly revised and updated over the decades since its first publication in 1892. This latest edition retains all the remarkable character of the original, but the terminology and treatment of some problems have been updated and new material has been added. Among the challenges in store for you: Arithmetical and geometrical recreations; Polyhedra; Chess-board recreations; Magic squares; Map-coloring problems; Unicursal problems; Cryptography and cryptanalysis; Calculating prodigies; ... and more. You'll even find problems which mathematical ingenuity can solve but the computer cannot. No knowledge of calculus or analytic geometry is necessary to enjoy these games and puzzles. With basic mathematical skills and the desire to meet a challenge you can put yourself to the test and win. "A must to add to your mathematics library."-The Mathematics Teacher We are delighted to publish this classic book as part of our extensive Classic Library collection. Many of the books in our collection have been out of print for decades, and therefore have not been accessible to the general public. The aim of our publishing program is to facilitate rapid access to this vast reservoir of literature, and our view is that this is a significant literary work, which deserves to be brought back into print after many decades. The contents of the vast majority of titles in the Classic Library have been scanned from the original works. To ensure a high quality product, each title has been meticulously hand curated by our staff. Our philosophy has been guided by a desire to provide the reader with a book that is as close as possible to ownership of the original work. We hope that you will enjoy this wonderful classic work, and that for you it becomes an enriching experience.