عنوان

An imaginary tale :

شابک

0691027951

شابک

0691127980

شابک

9780691027951

شابک

9780691127989

شماره

b794143

عنوان اصلي

An imaginary tale :

نام عام مواد

[Book]

ساير اطلاعات عنواني

the story of [the square root of minus one] /

نام نخستين پديدآور

Paul J. Nahin.

محل نشرو پخش و غیره

Princeton, N.J. :

نام ناشر، پخش کننده و غيره

Princeton University Press,

تاریخ نشرو بخش و غیره

©1998.

نام خاص و کميت اثر

xvi, 257 pages :

ساير جزييات

illustrations ;

ابعاد

25 cm

متن يادداشت

Includes indexes.

متن يادداشت

On t.p. "[the square root of minus one]" appears as a radical over "-1."

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

Today complex numbers have such widespread practical use, from electrical engineering to aeronautics, that few people would expect the story behind their derivation to be filled with adventure and enigma. In this book, the author tells the 2000 year old history of one of mathematics' most elusive numbers, the square root of minus one, also known as i, re-creating the baffling mathematical problems that conjured it up and the colorful characters who tried to solve them. In 1878, when two brothers stole a mathematical papyrus from the ancient Egyptian burial site in the Valley of Kings, they led scholars to the earliest known occurrence of the square root of a negative number. The papyrus offered a specific numerical example of how to calculate the volume of a truncated square pyramid, which implied the need for i. In the first century, the mathematician-engineer Heron of Alexandria encountered i in a separate project, but fudged the arithmetic. Medieval mathematicians stumbled upon the concept while grappling with the meaning of negative numbers, but dismissed their square roots as nonsense. By the time of Descartes, a theoretical use for these elusive square roots, now called "imaginary numbers", was suspected, but efforts to solve them led to intense, bitter debates. The notorious i finally won acceptance and was put to use in complex analysis and theoretical physics in Napoleonic times. Addressing readers with both a general and scholarly interest in mathematics, the author weaves into this narrative entertaining historical facts, mathematical discussions, and the application of complex numbers and functions to important problems, such as Kepler's laws of planetary motion and ac electrical circuits. This book can be read as an engaging history, almost a biography, of one of the most evasive and pervasive "numbers" in all of mathematics.

عنوان اصلي به زبان ديگر

Story of [square root] -1

عنوان اصلي به زبان ديگر

Story of [the square root of minus one]

موضوع مستند نشده

Numbers, Complex.

موضوع مستند نشده

Numbers, Complex.

موضوع مستند نشده

Nombres complexes.

موضوع مستند نشده

Imaginary numbers-- History.

موضوع مستند نشده

Mathématiques-- Histoire.

موضوع مستند نشده

Nombres complexes.

موضوع مستند نشده

Numbers, Complex.

موضوع مستند نشده

Números complexos (geometria)

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Nahin, Paul J.

تاريخ عمليات

20201207071952.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y