Ancient And Modern Mathematics

Author : DAT PHUNG TO
Publisher : Trafford Publishing
Page : 235 pages
File Size : 44,8 Mb
Release : 2012-08-27
Category : Mathematics
ISBN : 9781466900950

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Ancient and Modern Mathematics by DAT PHUNG TO Pdf

Discover modern solutions to ancient mathematical problems with this engaging guide, written by a mathematics enthusiast originally from South Vietnam. Author Dat Phung To provides a theory that defines the partial permutations as the compositions of the permutations nPn=n!. To help you apply it, he looks back at the ancient mathematicians who solved challenging problems. Unlike people today, the scholars who lived in the ancient world didnt have calculators and computers to help answer complicated questions. Even so, they still achieved great works, and their methods continue to hold relevance. In this textbook, youll find fourteen ancient problems along with their solutions. The problems are arranged from easiest to toughest, so you can focus on building your knowledge as you progress through the text. Fourteen Ancient Problems also explores partial permutations theory, a mathematical discovery that has many applications. It provides a specific and unique method to write down the whole expansion of nPn = n! into single permutations with n being a finite number. Take a thrilling journey throughout the ancient world, discover an important theory, and build upon your knowledge of mathematics with Fourteen Ancient Problems.

Author : George Gheverghese Joseph
Publisher : World Scientific
Page : 512 pages
File Size : 46,5 Mb
Release : 2016-07-28
Category : Mathematics
ISBN : 9781786340634

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Indian Mathematics by George Gheverghese Joseph Pdf

Indian Mathematics gives a unique insight into the history of mathematics within a historical global context. It builds on research into the connection between mathematics and the world-wide advancement of economics and technology. Joseph draws out parallel developments in other cultures and carefully examines the transmission of mathematical ideas across geographical and cultural borders. Accessible to those who have an interest in the global history of mathematical ideas, for the historians, philosophers and sociologists of mathematics, it is a book not to be missed.

Author : T. S. Bhanu Murthy
Publisher : New Age International
Page : 230 pages
File Size : 42,6 Mb
Release : 1993
Category : Hindu mathematics
ISBN : 8122403719

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A Modern Introduction to Ancient Indian Mathematics by T. S. Bhanu Murthy Pdf

The Purpose Of This Book Is To Draw The Attention Of Students And Teachers Of Mathematics To The Historical Continuity Of Indian Mathematics, Starting From The Sulba Sutras Of The Vedas Up To The 17Th Century. The Book Includes Proofs, Not Presented So Far, Of The Propositions Stated In The Well-Known Treatise Vedic Mathematics By Sri Bharati Krishna Teertha. It Also Introduces To The Modern Reader The Work Of Aryabhata, Brahmagupta, Bhaskara And Madhava.

Author : Robin Wilson,John J. Watkins
Publisher : OUP Oxford
Page : 392 pages
File Size : 47,5 Mb
Release : 2013-06-27
Category : Mathematics
ISBN : 9780191630620

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Combinatorics: Ancient & Modern by Robin Wilson,John J. Watkins Pdf

Who first presented Pascal's triangle? (It was not Pascal.) Who first presented Hamiltonian graphs? (It was not Hamilton.) Who first presented Steiner triple systems? (It was not Steiner.) The history of mathematics is a well-studied and vibrant area of research, with books and scholarly articles published on various aspects of the subject. Yet, the history of combinatorics seems to have been largely overlooked. This book goes some way to redress this and serves two main purposes: 1) it constitutes the first book-length survey of the history of combinatorics; and 2) it assembles, for the first time in a single source, researches on the history of combinatorics that would otherwise be inaccessible to the general reader. Individual chapters have been contributed by sixteen experts. The book opens with an introduction by Donald E. Knuth to two thousand years of combinatorics. This is followed by seven chapters on early combinatorics, leading from Indian and Chinese writings on permutations to late-Renaissance publications on the arithmetical triangle. The next seven chapters trace the subsequent story, from Euler's contributions to such wide-ranging topics as partitions, polyhedra, and latin squares to the 20th century advances in combinatorial set theory, enumeration, and graph theory. The book concludes with some combinatorial reflections by the distinguished combinatorialist, Peter J. Cameron. This book is not expected to be read from cover to cover, although it can be. Rather, it aims to serve as a valuable resource to a variety of audiences. Combinatorialists with little or no knowledge about the development of their subject will find the historical treatment stimulating. A historian of mathematics will view its assorted surveys as an encouragement for further research in combinatorics. The more general reader will discover an introduction to a fascinating and too little known subject that continues to stimulate and inspire the work of scholars today.

Author : Dat Phung To
Publisher : Trafford Publishing
Page : 231 pages
File Size : 43,5 Mb
Release : 2012-08
Category : Mathematics
ISBN : 9781466900943

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Ancient and Modern Mathematics by Dat Phung To Pdf

Discover modern solutions to ancient mathematical problems with this engaging guide, written by a mathematics enthusiast originally from South Vietnam. Author Dat Phung To provides a theory that defines the partial permutations as the compositions of the permutations nPn=n!. To help you apply it, he looks back at the ancient mathematicians who solved challenging problems. Unlike people today, the scholars who lived in the ancient world didn?t have calculators and computers to help answer complicated questions. Even so, they still achieved great works, and their methods continue to hold relevance. In this textbook, you?ll find fourteen ancient problems along with their solutions. The problems are arranged from easiest to toughest, so you can focus on building your knowledge as you progress through the text. Fourteen Ancient Problems also explores partial permutations theory, a mathematical discovery that has many applications. It provides a specific and unique method to write down the whole expansion of nPn = n! into single permutations with n being a finite number. Take a thrilling journey throughout the ancient world, discover an important theory, and build upon your knowledge of mathematics with Fourteen Ancient Problems.

Author : Sarju Tiwari
Publisher : Mittal Publications
Page : 312 pages
File Size : 52,7 Mb
Release : 1992
Category : Mathematics
ISBN : 8170994047

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Mathematics in History, Culture, Philosophy, and Science by Sarju Tiwari Pdf

Author : Eberhard Knobloch,Hikosaburo Komatsu,Dun Liu
Publisher : Springer Science & Business Media
Page : 588 pages
File Size : 41,9 Mb
Release : 2013-11-13
Category : Mathematics
ISBN : 9784431542735

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Seki, Founder of Modern Mathematics in Japan by Eberhard Knobloch,Hikosaburo Komatsu,Dun Liu Pdf

Seki was a Japanese mathematician in the seventeenth century known for his outstanding achievements, including the elimination theory of systems of algebraic equations, which preceded the works of Étienne Bézout and Leonhard Euler by 80 years. Seki was a contemporary of Isaac Newton and Gottfried Wilhelm Leibniz, although there was apparently no direct interaction between them. The Mathematical Society of Japan and the History of Mathematics Society of Japan hosted the International Conference on History of Mathematics in Commemoration of the 300th Posthumous Anniversary of Seki in 2008. This book is the official record of the conference and includes supplements of collated texts of Seki's original writings with notes in English on these texts. Hikosaburo Komatsu (Professor emeritus, The University of Tokyo), one of the editors, is known for partial differential equations and hyperfunction theory, and for his study on the history of Japanese mathematics. He served as the President of the International Congress of Mathematicians Kyoto 1990.

Author : Eleanor Robson
Publisher : Princeton University Press
Page : 399 pages
File Size : 44,6 Mb
Release : 2020-06-30
Category : Mathematics
ISBN : 9780691201405

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Mathematics in Ancient Iraq by Eleanor Robson Pdf

This monumental book traces the origins and development of mathematics in the ancient Middle East, from its earliest beginnings in the fourth millennium BCE to the end of indigenous intellectual culture in the second century BCE when cuneiform writing was gradually abandoned. Eleanor Robson offers a history like no other, examining ancient mathematics within its broader social, political, economic, and religious contexts, and showing that mathematics was not just an abstract discipline for elites but a key component in ordering society and understanding the world. The region of modern-day Iraq is uniquely rich in evidence for ancient mathematics because its prehistoric inhabitants wrote on clay tablets, many hundreds of thousands of which have been archaeologically excavated, deciphered, and translated. Drawing from these and a wealth of other textual and archaeological evidence, Robson gives an extraordinarily detailed picture of how mathematical ideas and practices were conceived, used, and taught during this period. She challenges the prevailing view that they were merely the simplistic precursors of classical Greek mathematics, and explains how the prevailing view came to be. Robson reveals the true sophistication and beauty of ancient Middle Eastern mathematics as it evolved over three thousand years, from the earliest beginnings of recorded accounting to complex mathematical astronomy. Every chapter provides detailed information on sources, and the book includes an appendix on all mathematical cuneiform tablets published before 2007.

Author : B.S. Yadav,Man Mohan
Publisher : Springer Science & Business Media
Page : 218 pages
File Size : 45,9 Mb
Release : 2011-01-20
Category : Mathematics
ISBN : 9780817646950

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Ancient Indian Leaps into Mathematics by B.S. Yadav,Man Mohan Pdf

This book presents contributions of mathematicians covering topics from ancient India, placing them in the broader context of the history of mathematics. Although the translations of some Sanskrit mathematical texts are available in the literature, Indian contributions are rarely presented in major Western historical works. Yet some of the well-known and universally-accepted discoveries from India, including the concept of zero and the decimal representation of numbers, have made lasting contributions to the foundation of modern mathematics. Through a systematic approach, this book examines these ancient mathematical ideas that were spread throughout India, China, the Islamic world, and Western Europe.

Author : Morris Kline
Publisher : Oxford University Press
Page : 480 pages
File Size : 46,9 Mb
Release : 1990-03-01
Category : Mathematics
ISBN : 0199840423

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Mathematical Thought From Ancient to Modern Times by Morris Kline Pdf

This comprehensive history traces the development of mathematical ideas and the careers of the men responsible for them. Volume 1 looks at the disciplines origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the 19th century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Godel on recent mathematical study.

Author : V. S. Varadarajan
Publisher : American Mathematical Soc.
Page : 164 pages
File Size : 55,7 Mb
Release : 1998
Category : Mathematics
ISBN : 082180989X

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Algebra in Ancient and Modern Times by V. S. Varadarajan Pdf

The author uses an historical approach to show the advancement of algebra from its ancient beginnings to its modern usage.

Author : Anonim
Publisher : Unknown
Page : 154 pages
File Size : 49,6 Mb
Release : 2021
Category : Electronic
ISBN : 8194747546

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New Thoughts on Ancient and Modern Mathematics by Anonim Pdf

Author : David Reimer
Publisher : Princeton University Press
Page : 250 pages
File Size : 52,5 Mb
Release : 2014-04-27
Category : Mathematics
ISBN : 9780691160122

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Count Like an Egyptian by David Reimer Pdf

A lively collection of fun and challenging problems in ancient Egyptian math The mathematics of ancient Egypt was fundamentally different from our math today. Contrary to what people might think, it wasn't a primitive forerunner of modern mathematics. In fact, it can’t be understood using our current computational methods. Count Like an Egyptian provides a fun, hands-on introduction to the intuitive and often-surprising art of ancient Egyptian math. David Reimer guides you step-by-step through addition, subtraction, multiplication, and more. He even shows you how fractions and decimals may have been calculated—they technically didn’t exist in the land of the pharaohs. You’ll be counting like an Egyptian in no time, and along the way you’ll learn firsthand how mathematics is an expression of the culture that uses it, and why there’s more to math than rote memorization and bewildering abstraction. Reimer takes you on a lively and entertaining tour of the ancient Egyptian world, providing rich historical details and amusing anecdotes as he presents a host of mathematical problems drawn from different eras of the Egyptian past. Each of these problems is like a tantalizing puzzle, often with a beautiful and elegant solution. As you solve them, you’ll be immersed in many facets of Egyptian life, from hieroglyphs and pyramid building to agriculture, religion, and even bread baking and beer brewing. Fully illustrated in color throughout, Count Like an Egyptian also teaches you some Babylonian computation—the precursor to our modern system—and compares ancient Egyptian mathematics to today’s math, letting you decide for yourself which is better.

Author : Jacob Klein,Eva Brann
Publisher : Mit Press
Page : 376 pages
File Size : 51,8 Mb
Release : 1976-08-01
Category : Mathematics
ISBN : 0262610221

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Greek Mathematical Thought and the Origin of Algebra by Jacob Klein,Eva Brann Pdf

The development of symbolic algebra as a fundamental change in the concept of number.

Author : Christos B. Glavas
Publisher : Unknown
Page : 184 pages
File Size : 53,7 Mb
Release : 1994
Category : Geometry
ISBN : UOM:39015037270314

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The Place of Euclid in Ancient and Modern Mathematics by Christos B. Glavas Pdf