Author: Anne Rooney

Publisher: Arcturus Publishing

ISBN:

Category: Mathematics

Page:

View: 779

In order to understand the universe you must know the language in which it is written. And that language is mathematics.' Galileo (1564-1642) For hundreds of thousands of years, we have sought order in the apparent chaos of the universe. Mathematics has been our most valuable tool in that search, uncovering the patterns and rules that govern...

Author: Richard Mankiewicz

Publisher: Weidenfeld & Nicolson

ISBN:

Category: Mathematicians

Page: 192

View: 645

Mathematics is not only a discipline integral to humankind's desire to navigate and trade, it is also an artistic inspiration and a guide to the movement of the heavens. This book takes us on a journey through mathematical ideas across the centuries and across different cultures, from Babylonian clay tablets to computer images of complexity: from Renaissance perspective to game theory. Written as a compelling narrative and accompanied by sumptuous images from illuminated manuscripts to Modern art, this is a beautiful and inspirational book that sheds light on a world rarely supposed to possess such importance, intrigue and charm.

Author: Ian Stewart

Publisher:

ISBN:

Category: Mathematics

Page: 384

View: 662

Explains the major developments in the history of mathematics--from tally marks to chaos theory--and how each has impacted society.

Author: Lloyd Motz

Publisher: Basic Books

ISBN:

Category: Mathematics

Page: 356

View: 719

Traces the development of mathematics from its primitive times to current calculations done on computers

Author: Eli Maor

Publisher: Princeton University Press

ISBN:

Category: Mathematics

Page: 248

View: 299

The interest earned on a bank account, the arrangement of seeds in a sunflower, and the shape of the Gateway Arch in St. Louis are all intimately connected with the mysterious number e. In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number. Designed for a reader with only a modest mathematical background, this biography brings out the central importance of e to mathematics and illuminates a golden era in the age of science.

Author: Dana Mackenzie

Publisher: NewSouth

ISBN:

Category: Mathematics

Page: 224

View: 995

In this fascinating and richly illustrated book, Dana Mackenzie brings to life the 4000-year history of mathematics through the lives and work of its greatest practitioners. * Discover the world's simplest equation and what it means * Find out how Newton's Laws of Motion help us do everything from building bridges to predicting the weather * See how mathematics got nasty and personal in 16th-century Italy * Understand how Newton and Leibniz unlocked the key to mastering infinity with the fundamental theorem of calculus * Find out how Fermat's Last Theorem was solved after 350 years.

Author: Władysław Narkiewicz

Publisher: Springer

ISBN:

Category: Mathematics

Page: 443

View: 918

The book is aimed at people working in number theory or at least interested in this part of mathematics. It presents the development of the theory of algebraic numbers up to the year 1950 and contains a rather complete bibliography of that period. The reader will get information about results obtained before 1950. It is hoped that this may be helpful in preventing rediscoveries of old results, and might also inspire the reader to look at the work done earlier, which may hide some ideas which could be applied in contemporary research.

Author: John McLeish

Publisher: Ballantine Books

ISBN:

Category: Mathematics

Page: 266

View: 216

The history of mathematics is enumerated in human terms, including the development of number systems in cultures from ancient to modern times, how systems and cultures shaped each other, and everyday people working with everyday problems. Reprint.

Author: Mallik Asok Kumar

Publisher: #N/A

ISBN:

Category: Juvenile Nonfiction

Page: 196

View: 843

This book is more than a mathematics textbook. It discusses various kinds of numbers and curious interconnections between them. Without getting into hardcore and difficult mathematical technicalities, the book lucidly introduces all kinds of numbers that mathematicians have created. Interesting anecdotes involving great mathematicians and their marvelous creations are included. The reader will get a glimpse of the thought process behind the invention of new mathematics. Starting from natural numbers, the book discusses integers, real numbers, imaginary and complex numbers and some special numbers like quaternions, dual numbers and p-adic numbers. Real numbers include rational, irrational and transcendental numbers. Iterations on real numbers are shown to throw up some unexpected behavior, which has given rise to the new science of "Chaos". Special numbers like e, pi, golden ratio, Euler's constant, Gauss's constant, amongst others, are discussed in great detail. The origin of imaginary numbers and the use of complex numbers constitute the next topic. It is shown why modern mathematics cannot even be imagined without imaginary numbers. Iterations on complex numbers are shown to generate a new mathematical object called 'Fractal', which is ubiquitous in nature. Finally, some very special numbers, not mentioned in the usual textbooks, and their applications, are introduced at an elementary level. The level of mathematics discussed in this book is easily accessible to young adults interested in mathematics, high school students, and adults having some interest in basic mathematics. The book concentrates more on the story than on rigorous mathematics.

Author: Ian Stewart

Publisher:

ISBN:

Category: Mathematicians

Page: 287

View: 427

This visually stunning volume takes the reader on an illustrated tour of mathematics across cultures and civilizations, bringing to life a world of important ideas and-rarely supposed-great intrigue and charm

Author: Walter Denham Larrett

Publisher:

ISBN:

Category: Mathematics

Page: 87

View: 869

Author: James T. Rogers

Publisher:

ISBN:

Category: Mathematics

Page: 127

View: 542

Presents the story of the creation and development of mathematics from the time of primitive man who counted on his fingers to today with the concept of the "new math" and the use of the electronic computer.

Author: Constance Reid

Publisher: Copernicus

ISBN:

Category: Language Arts & Disciplines

Page: 314

View: 691

Biographical account of mathematician, Richard Courant, who had been removed by the Nazis from his position as director of the internationally famous mathematics institute in Göttingen and emigrated to the United States and built another mathematics institute in New York.

Author: Hyman Ruchlis

Publisher:

ISBN:

Category: Geometry

Page: 149

View: 887

Author: Craig Bauer

Publisher: CRC Press

ISBN:

Category: Computers

Page: 640

View: 996

The first edition of this award-winning book attracted a wide audience. This second edition is both a joy to read and a useful classroom tool. Unlike traditional textbooks, it requires no mathematical prerequisites and can be read around the mathematics presented. If used as a textbook, the mathematics can be prioritized, with a book both students and instructors will enjoy reading. Secret History: The Story of Cryptology, Second Edition incorporates new material concerning various eras in the long history of cryptology. Much has happened concerning the political aspects of cryptology since the first edition appeared. The still unfolding story is updated here. The first edition of this book contained chapters devoted to the cracking of German and Japanese systems during World War II. Now the other side of this cipher war is also told, that is, how the United States was able to come up with systems that were never broken. The text is in two parts. Part I presents classic cryptology from ancient times through World War II. Part II examines modern computer cryptology. With numerous real-world examples and extensive references, the author skillfully balances the history with mathematical details, providing readers with a sound foundation in this dynamic field. FEATURES Presents a chronological development of key concepts Includes the Vigenère cipher, the one-time pad, transposition ciphers, Jefferson's wheel cipher, Playfair cipher, ADFGX, matrix encryption, Enigma, Purple, and other classic methods Looks at the work of Claude Shannon, the origin of the National Security Agency, elliptic curve cryptography, the Data Encryption Standard, the Advanced Encryption Standard, public-key cryptography, and many other topics New chapters detail SIGABA and SIGSALY, successful systems used during World War II for text and speech, respectively Includes quantum cryptography and the impact of quantum computers

Author: Norman Biggs

Publisher: Oxford University Press

ISBN:

Category: Mathematics

Page: 208

View: 761

Mathematics did not spring spontaneously into life, with rules set in stone for all time. Its story is closely linked with the problems of measurement and money that have often driven its progress. Quite Right explains how mathematical ideas have gradually emerged since prehistoric times, so that they pervade almost every aspect of life in the twenty-first century. Many histories of mathematics focus on the activities of those for whom mathematics itself was the motivation. Professor Biggs adopts a wider viewpoint. Making use of new discoveries of artefacts and documents, he explains the part that mathematics has played in the human story, and what that tells us about the nature of mathematics. The story reveals the power and beauty of mathematical concepts, which often belie their utilitarian origins. The twin paradigms of logical justification and algorithmic calculation recur throughout the book. No other book tells the story of mathematics, measurement, and money in this way. Includes secontions on: — The origins of calculation in ancient and medieval times — How mathematics provides answers that are right, and what that means — The impact of trade and the use of money on the development of mathematical algorithms — The use of mathematics for secure communications — How money and information are linked in our electronic world Quite Right is a fascinating story, suitable for anyone interested in the mathematical foundations of the world we live in. Norman Biggs is Professor (Emeritus) of Mathematics at the London School of Economics. He is the author of 12 books, including a perennial best-selling book Discrete Mathematics (Oxford University Press). He has a special interest in measurement and was Chair of the International Society of Weights and Scales Collectors from 2009-14. He served as a Vice President of the British Society for the History of Mathematics in 2014 and is an active member of the British Numismatic Society. 'This is a history of mathematics book with a difference. Instead of the usual chronological sequence of events, presented with mathematical hindsight (interpreting mathematical achievements from a modern point of view), this book tries to see things more from the context of the time - presenting the topics thematically rather than strictly chronologically, and including results and problems only when they fit into the themes ... the level of exposition is first-rate, with a far greater fluency than most mathematical writers can attain ... I am very happy to recommend it wholeheartedly.' Professor Robin Wilson, University of Oxford

Author: A.W.F. Edwards

Publisher: Courier Dover Publications

ISBN:

Category: Mathematics

Page: 224

View: 228

A triangular array of the binomial coefficients.

Author: Aleksandr Kalmanovich Zvonkin

Publisher: American Mathematical Soc.

ISBN:

Category: Mathematics

Page: 300

View: 386

This book is a captivating account of a professional mathematician's experiences conducting a math circle for preschoolers in his apartment in Moscow in the 1980s. As anyone who has taught or raised young children knows, mathematical education for little kids is a real mystery. What are they capable of? What should they learn first? How hard should they work? Should they even "work" at all? Should we push them, or just let them be? There are no correct answers to these questions, and the author deals with them in classic math-circle style: he doesn't ask and then answer a question, but shows us a problem--be it mathematical or pedagogical--and describes to us what happened. His book is a narrative about what he did, what he tried, what worked, what failed, but most important, what the kids experienced. This book does not purport to show you how to create precocious high achievers. It is just one person's story about things he tried with a half-dozen young children. Mathematicians, psychologists, educators, parents, and everybody interested in the intellectual development in young children will find this book to be an invaluable, inspiring resource. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession. Titles in this series are co-published with the Mathematical Sciences Research Institute (MSRI).

Author: David Eugene Smith

Publisher:

ISBN:

Category:

Page:

View: 421

Author: Mark Ronan

Publisher: Oxford University Press

ISBN:

Category: History

Page: 255

View: 266

Imagine a giant snowflake in 196,884 dimensions... This is the story of a mathematical quest that began two hundred years ago in revolutionary France, which led to the biggest collaboration ever between mathematicians across the world, and revealed the 'Monster' - a structure of beauty and complexity. And it is a story that is not yet over, for we have yet to understand the deep significance of the Monster - and its tantalising hints of connections with the physical structure of spacetime. Once we understand the full nature of the Monster, we may well have revealed a whole new and deeper understanding of the nature of our Universe.