Download or read book Leonardo Pisano Fibonacci written by L. E. Sigler and published by Elsevier. This book was released on 2014-06-28 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Book of Squares by Fibonacci is a gem in the mathematical literature and one of the most important mathematical treatises written in the Middle Ages. It is a collection of theorems on indeterminate analysis and equations of second degree which yield, among other results, a solution to a problem proposed by Master John of Palermo to Leonardo at the Court of Frederick II. The book was dedicated and presented to the Emperor at Pisa in 1225. Dating back to the 13th century the book exhibits the early and continued fascination of men with our number system and the relationship among numbers with special properties such as prime numbers, squares, and odd numbers. The faithful translation into modern English and the commentary by the translator make this book accessible to professional mathematicians and amateurs who have always been intrigued by the lure of our number system.
Download or read book Color By Number Quest written by Color Quest and published by . This book was released on 2021-03-03 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: Enjoy 30 Color by Number pictures hidden by small CIRCLES on various topics such as animals, travel, fruits, flowers, people, birds, patterns and more. Use the 22-color palette to create beautiful art-works!
Download or read book Magic Squares written by Clarity Media and published by CreateSpace. This book was released on 2015-07-15 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: Welcome to this fantastic collection of 100 magic square puzzles! Looking for a brain-teasing challenge? Look no further! Magic squares provide two key pieces of information for every puzzle; the sum of the numbers in each row, column and the two diagonals, and secondly the range of numbers that will feature, so 15-30 for example. With this information, you must completely fill the grid using the numbers already given in place. Can you complete all 100? If you get a little stuck along the way, solutions are featured towards the back of the book so take a peek there! All of our puzzle books are printed on very high quality paper, perfect for notes and scribbles! For other puzzle books, visit us at www.puzzle-book.co.uk
Download or read book Geometric Magic Squares written by Lee C.F. Sallows and published by Courier Corporation. This book was released on 2013-10-03 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: This innovative work replaces magic square numbers with two-dimensional forms. The result is a revelation that traditional magic squares are now better seen as the one-dimensional instance of this self-same geometrical activity.
Download or read book Sums of Squares of Integers written by Carlos J. Moreno and published by CRC Press. This book was released on 2005-12-09 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sums of Squares of Integers covers topics in combinatorial number theory as they relate to counting representations of integers as sums of a certain number of squares. The book introduces a stimulating area of number theory where research continues to proliferate. It is a book of "firsts" - namely it is the first book to combine Liouville's elementary methods with the analytic methods of modular functions to study the representation of integers as sums of squares. It is the first book to tell how to compute the number of representations of an integer n as the sum of s squares of integers for any s and n. It is also the first book to give a proof of Szemeredi's theorem, and is the first number theory book to discuss how the modern theory of modular forms complements and clarifies the classical fundamental results about sums of squares. The book presents several existing, yet still interesting and instructive, examples of modular forms. Two chapters develop useful properties of the Bernoulli numbers and illustrate arithmetic progressions, proving the theorems of van der Waerden, Roth, and Szemeredi. The book also explains applications of the theory to three problems that lie outside of number theory in the areas of cryptanalysis, microwave radiation, and diamond cutting. The text is complemented by the inclusion of over one hundred exercises to test the reader's understanding.
Download or read book Amazing Properties of Squares Their Calculations written by Kiran Parulekar and published by Kiran Anil Parulekar. This book was released on 2012-06-17 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Amazing Properties of Squares & Their Calculations is a humble endeavor of the author to write a book on speed arithmetic. The book contains some of the very exciting facts about squares of natural numbers. This book illustrates some special types of numbers and calculation of their squares. The author also attempts to explain and illustrate the general concepts on square calculation. This book is the Bible on calculation of squares and properties of squares. Each chapter is independent of each other. Hence, no particular reading order is recommended for this book. Some of the chapters are very useful in preparing for competitive exams. Book assumes no other prior mathematical background to grasp the concepts explained in this book. The only pre-requisite to read this book is to have prior knowledge about tables of 1 to 10 numbers and squares of 1 to 25 numbers. Following are the salient features of this book...- This book contains originality. It means in most chapters things are discussed, which we will not find in any other book on speed arithmetic. Even if particular concept is found in some book or website, author has represented it in a little different way.- It is useful for competitive exam- Author has given enough examples on each type of square calculation of a number (minimum 3 examples) so that reader will not have any doubt.- Almost all the chapters are having different style from traditional learning maths taught in school or college or in books.- Each chapter has been discussed separately without any prior knowledge of previous chapters so that reader can read any chapter independently and can move in any order in reading this book.- The approach used in this book is on calculation of last two digits of a square which is different from other approaches.This book will develop high interest levels in people who have do not have passion for mathematics can develop liking for math not only in calculation of squares but also in other areas like multiplication and division.- Till now methods like casting out 9's and casting out 11's were used in checking calculation , but in this book in chapter 17 and 18 these two methods are used to calculate square of two and three digit numbers respectively which is a very new thing.- Examples are explained step by step and are plenty in number and any student above seventh standard can understand it. Also topics range from elementary to medium level.- All the methods to calculate square of a number that are present in other books are discussed here in addition to some new methods. Following are the methods discussed in this book to calculate square of a general number.Chapter 6, Algebraic Identity (a+b)2 square calculationChapter 7, Square calculation using a2 = b2 + (a+b)*(a-b) formulaChapter 8, Vedic Mathematic Method Chapter 9 and 10, Two digit numbers method generalization for 3 and 4 digit numbers.Chapter 13, Square of a no. near to power/multiple/sub-multiple of power of 10 Chapter 14, Vedic Mathmetic's 'Urdhva Tiryak' method Chapter 15, Ratio Method uses ratio of two successive digitsChapter 16, Vinculum calculation method, often used to calculate big digits are bigChapter 17, Square of two digit number using casting out 9's methodChapter 18, Square of three digit number using casting out 9's and casting out 11's method- Theory behind every concept is explained which will help keen maths students proud. Superficial readers can use last result given in theory.- Various square calculation methods for number like 97 using (a+b)2 formula, Vedic maths method (100-x)2 = 100-2*x | x2, method to calculate square of a number near to power of 10, Vedic 'Urdhva Tiryak' method, Ratio method, Vinculum method, and Casting out 9's. You would learn different methods to calculate any square.- Chapters 11 and 12 are fun to read as specific digit or specific number repeated any no. of times can be squared using arithmetic progression method
Download or read book Representations of Integers as Sums of Squares written by E. Grosswald and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the academic year 1980-1981 I was teaching at the Technion-the Israeli Institute of Technology-in Haifa. The audience was small, but con sisted of particularly gifted and eager listeners; unfortunately, their back ground varied widely. What could one offer such an audience, so as to do justice to all of them? I decided to discuss representations of natural integers as sums of squares, starting on the most elementary level, but with the inten tion of pushing ahead as far as possible in some of the different directions that offered themselves (quadratic forms, theory of genera, generalizations and modern developments, etc.), according to the interests of the audience. A few weeks after the start of the academic year I received a letter from Professor Gian-Carlo Rota, with the suggestion that I submit a manuscript for the Encyclopedia of Mathematical Sciences under his editorship. I answered that I did not have a ready manuscript to offer, but that I could use my notes on representations of integers by sums of squares as the basis for one. Indeed, about that time I had already started thinking about the possibility of such a book and had, in fact, quite precise ideas about the kind of book I wanted it to be.
Download or read book Latin Squares written by József Dénes and published by Elsevier. This book was released on 1991-01-24 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1974 the editors of the present volume published a well-received book entitled ``Latin Squares and their Applications''. It included a list of 73 unsolved problems of which about 20 have been completely solved in the intervening period and about 10 more have been partially solved. The present work comprises six contributed chapters and also six further chapters written by the editors themselves. As well as discussing the advances which have been made in the subject matter of most of the chapters of the earlier book, this new book contains one chapter which deals with a subject (r-orthogonal latin squares) which did not exist when the earlier book was written. The success of the former book is shown by the two or three hundred published papers which deal with questions raised by it.
Download or read book The Encyclopaedia Britannica written by Thomas Spencer Baynes and published by . This book was released on 1884 with total page 1026 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Magic Squares written by Jacques Sesiano and published by Springer. This book was released on 2019-05-21 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Intuitive calculations the readiest and most concise methods written by Daniel O'Gorman and published by . This book was released on 1885 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Zen Of Magic Squares Circles And Stars written by M K Joseph and published by Universities Press. This book was released on with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Zen of Magic Squares Circles and Stars written by Clifford A. Pickover and published by Princeton University Press. This book was released on 2011-11-28 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mathematics Today 8 ICSE written by S.K. Gupta & Anubhuti Gangal and published by S. Chand Publishing. This book was released on with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: All mathematical concepts have been presented in a very simple and lucid form. Unit summary of key facts at the end, Mental Maths Exercises, Unit Review Exercises, Historical Notes, Quizzes, Puzzles, and Enrichment Material have been included. The special feature of this edition is the inclusion of Multiple Choice Questions, Challengers (HOTS), Worksheets and Chapter Tests. The ebook version does not contain CD.
Download or read book A Primer on Partial Least Squares Structural Equation Modeling PLS SEM written by Joseph F. Hair and published by SAGE. This book was released on 2014 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A Primer on Partial Least Squares Structural Equation Modeling (PLS-SEM), by Hair, Hult, Ringle, and Sarstedt, provides a concise yet very practical guide to understanding and using PLS structural equation modeling (PLS-SEM). PLS-SEM is evolving as a statistical modeling technique and its use has increased exponentially in recent years within a variety of disciplines, due to the recognition that PLS-SEM's distinctive methodological features make it a viable alternative to the more popular covariance-based SEM approach. This text includes extensive examples on SmartPLS software, and is accompanied by multiple data sets that are available for download from the accompanying website (www.pls-sem.com). "--Publisher's website.
Download or read book Practical Bacteriology Blood Work and Animal Parasitology written by Edward Rhodes Stitt and published by . This book was released on 1914 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Our Knowledge of the External World as a Field for Scientific Method in Philosophy written by Bertrand Russell and published by Routledge. This book was released on 1922 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Synopsis: Bertrand Russell's Our Knowledge of the External World investigates the problem of perception from an analytic-philosophical perspective. Here the great British mathematician and philosopher gives a thoughtful exposition of his logically motivated epistemology and argues for a controversial solution to a long-standing philosophical riddle. Skillfully written with an accessible lucidity by a brilliant scholar, it requires of the reader neither prior knowledge of logic nor aptitude for philosophical inquiry. The book serves as essential reading for anyone interested in the intersection of logic and epistemology including the development of analytic philosophy in the twentieth century.
