Author: Paul Nahin
Publisher: Princeton University Press
ISBN: 1400833892
Category : Mathematics
Languages : en
Pages : 297
Book Description
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 An Imaginary Tale, Paul Nahin tells the 2000-year-old history of one of mathematics' most elusive numbers, the square root of minus one, also known as i. He recreates 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, Nahin weaves into this narrative entertaining historical facts and mathematical discussions, including 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. Some images inside the book are unavailable due to digital copyright restrictions.
An Imaginary Tale
Author: Paul Nahin
Publisher: Princeton University Press
ISBN: 1400833892
Category : Mathematics
Languages : en
Pages : 297
Book Description
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 An Imaginary Tale, Paul Nahin tells the 2000-year-old history of one of mathematics' most elusive numbers, the square root of minus one, also known as i. He recreates 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, Nahin weaves into this narrative entertaining historical facts and mathematical discussions, including 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. Some images inside the book are unavailable due to digital copyright restrictions.
Publisher: Princeton University Press
ISBN: 1400833892
Category : Mathematics
Languages : en
Pages : 297
Book Description
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 An Imaginary Tale, Paul Nahin tells the 2000-year-old history of one of mathematics' most elusive numbers, the square root of minus one, also known as i. He recreates 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, Nahin weaves into this narrative entertaining historical facts and mathematical discussions, including 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. Some images inside the book are unavailable due to digital copyright restrictions.
Imaginary Tale The Story Of -1
Author: Paul J. Nahin
Publisher: Universities Press
ISBN: 9788173713996
Category :
Languages : en
Pages : 284
Book Description
Publisher: Universities Press
ISBN: 9788173713996
Category :
Languages : en
Pages : 284
Book Description
Dr. Euler's Fabulous Formula
Author: Paul J. Nahin
Publisher: Princeton University Press
ISBN: 0691175918
Category : Mathematics
Languages : en
Pages : 416
Book Description
In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even the occasional limerick. Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula—long regarded as the gold standard for mathematical beauty—and shows why it still lies at the heart of complex number theory. In some ways a sequel to Nahin's An Imaginary Tale, this book examines the many applications of complex numbers alongside intriguing stories from the history of mathematics. Dr. Euler's Fabulous Formula is accessible to any reader familiar with calculus and differential equations, and promises to inspire mathematicians for years to come.
Publisher: Princeton University Press
ISBN: 0691175918
Category : Mathematics
Languages : en
Pages : 416
Book Description
In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even the occasional limerick. Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula—long regarded as the gold standard for mathematical beauty—and shows why it still lies at the heart of complex number theory. In some ways a sequel to Nahin's An Imaginary Tale, this book examines the many applications of complex numbers alongside intriguing stories from the history of mathematics. Dr. Euler's Fabulous Formula is accessible to any reader familiar with calculus and differential equations, and promises to inspire mathematicians for years to come.
Superman & Batman Generations 2
Author: John Byrne
Publisher:
ISBN: 9781840237115
Category : Batman (Fictitious character)
Languages : en
Pages : 193
Book Description
From author and artist John Byrne comes another perspective on the development of both Superman and Batman that begins in 1942 and progresses right through to 2019.
Publisher:
ISBN: 9781840237115
Category : Batman (Fictitious character)
Languages : en
Pages : 193
Book Description
From author and artist John Byrne comes another perspective on the development of both Superman and Batman that begins in 1942 and progresses right through to 2019.
The Stories of the Mona Lisa
Author: Piotr Barsony
Publisher: Skyhorse Publishing Inc.
ISBN: 1620872285
Category : Juvenile Nonfiction
Languages : en
Pages : 57
Book Description
A history of modern painting, presented through the story of the Mona Lisa, features an artist who serves as a museum tour guide introducing famous movements while sharing creative images of how the Mona Lisa may have appeared if painted by other master artists.
Publisher: Skyhorse Publishing Inc.
ISBN: 1620872285
Category : Juvenile Nonfiction
Languages : en
Pages : 57
Book Description
A history of modern painting, presented through the story of the Mona Lisa, features an artist who serves as a museum tour guide introducing famous movements while sharing creative images of how the Mona Lisa may have appeared if painted by other master artists.
The Imaginary
Author: A.F. Harrold
Publisher: Bloomsbury Publishing
ISBN: 1408850176
Category : Juvenile Fiction
Languages : en
Pages : 216
Book Description
Rudger is Amanda's best friend. He doesn't exist, but nobody's perfect. Only Amanda can see her imaginary friend – until the sinister Mr Bunting arrives at Amanda's door. Mr Bunting hunts imaginaries. Rumour says that he eats them. And he's sniffed out Rudger. Soon Rudger is alone, and running for his imaginary life. But can a boy who isn't there survive without a friend to dream him up? A brilliantly funny, scary and moving read from the unique imagination of A.F. Harrold, this beautiful book is astoundingly illustrated with integrated art and colour spreads by the award-winning Emily Gravett.
Publisher: Bloomsbury Publishing
ISBN: 1408850176
Category : Juvenile Fiction
Languages : en
Pages : 216
Book Description
Rudger is Amanda's best friend. He doesn't exist, but nobody's perfect. Only Amanda can see her imaginary friend – until the sinister Mr Bunting arrives at Amanda's door. Mr Bunting hunts imaginaries. Rumour says that he eats them. And he's sniffed out Rudger. Soon Rudger is alone, and running for his imaginary life. But can a boy who isn't there survive without a friend to dream him up? A brilliantly funny, scary and moving read from the unique imagination of A.F. Harrold, this beautiful book is astoundingly illustrated with integrated art and colour spreads by the award-winning Emily Gravett.
Elizabeth and Zenobia
Author: Jessica Miller
Publisher: Abrams
ISBN: 168335186X
Category : Juvenile Fiction
Languages : en
Pages : 184
Book Description
Abandoned by her mother and neglected by her scientist father, timid Elizabeth Murmur has only her fearless friend, Zenobia, for company. And Zenobia’s company can be very trying! When Elizabeth’s father takes them to live in his family home, Witheringe House, Zenobia becomes obsessed with finding a ghost in the creepy old mansion and forces Elizabeth to hold séances and wander the rooms at night. With Zenobia’s constant pushing, Elizabeth investigates the history of the house and learns that it does hold a terrible secret: Her father’s younger sister disappeared from the grounds without a trace years ago. Elizabeth and Zenobia is a wonderfully compelling middle-grade story about friendship, courage, and the power of the imagination.
Publisher: Abrams
ISBN: 168335186X
Category : Juvenile Fiction
Languages : en
Pages : 184
Book Description
Abandoned by her mother and neglected by her scientist father, timid Elizabeth Murmur has only her fearless friend, Zenobia, for company. And Zenobia’s company can be very trying! When Elizabeth’s father takes them to live in his family home, Witheringe House, Zenobia becomes obsessed with finding a ghost in the creepy old mansion and forces Elizabeth to hold séances and wander the rooms at night. With Zenobia’s constant pushing, Elizabeth investigates the history of the house and learns that it does hold a terrible secret: Her father’s younger sister disappeared from the grounds without a trace years ago. Elizabeth and Zenobia is a wonderfully compelling middle-grade story about friendship, courage, and the power of the imagination.
Memoirs of an Imaginary Friend
Author: Matthew Dicks
Publisher: St. Martin's Press
ISBN: 1250024005
Category : Fiction
Languages : en
Pages : 320
Book Description
Imaginary friend Budo narrates this heartwarming story of love, loyalty, and the power of the imagination—the perfect read for anyone who has ever had a friend . . . real or otherwise Budo is lucky as imaginary friends go. He's been alive for more than five years, which is positively ancient in the world of imaginary friends. But Budo feels his age, and thinks constantly of the day when eight-year-old Max Delaney will stop believing in him. When that happens, Budo will disappear. Max is different from other children. Some people say that he has Asperger's Syndrome, but most just say he's "on the spectrum." None of this matters to Budo, who loves Max and is charged with protecting him from the class bully, from awkward situations in the cafeteria, and even in the bathroom stalls. But he can't protect Max from Mrs. Patterson, the woman who works with Max in the Learning Center and who believes that she alone is qualified to care for this young boy. When Mrs. Patterson does the unthinkable and kidnaps Max, it is up to Budo and a team of imaginary friends to save him—and Budo must ultimately decide which is more important: Max's happiness or Budo's very existence. Narrated by Budo, a character with a unique ability to have a foot in many worlds—imaginary, real, child, and adult— Memoirs of an Imaginary Friend touches on the truths of life, love, and friendship as it races to a heartwarming . . . and heartbreaking conclusion.
Publisher: St. Martin's Press
ISBN: 1250024005
Category : Fiction
Languages : en
Pages : 320
Book Description
Imaginary friend Budo narrates this heartwarming story of love, loyalty, and the power of the imagination—the perfect read for anyone who has ever had a friend . . . real or otherwise Budo is lucky as imaginary friends go. He's been alive for more than five years, which is positively ancient in the world of imaginary friends. But Budo feels his age, and thinks constantly of the day when eight-year-old Max Delaney will stop believing in him. When that happens, Budo will disappear. Max is different from other children. Some people say that he has Asperger's Syndrome, but most just say he's "on the spectrum." None of this matters to Budo, who loves Max and is charged with protecting him from the class bully, from awkward situations in the cafeteria, and even in the bathroom stalls. But he can't protect Max from Mrs. Patterson, the woman who works with Max in the Learning Center and who believes that she alone is qualified to care for this young boy. When Mrs. Patterson does the unthinkable and kidnaps Max, it is up to Budo and a team of imaginary friends to save him—and Budo must ultimately decide which is more important: Max's happiness or Budo's very existence. Narrated by Budo, a character with a unique ability to have a foot in many worlds—imaginary, real, child, and adult— Memoirs of an Imaginary Friend touches on the truths of life, love, and friendship as it races to a heartwarming . . . and heartbreaking conclusion.
Imaginary Girls
Author: Nova Ren Suma
Publisher: Penguin
ISBN: 1101516135
Category : Young Adult Fiction
Languages : en
Pages : 216
Book Description
Chloe's older sister, Ruby, is the girl everyone looks to and longs for, who can't be captured or caged. When a night with Ruby's friends goes horribly wrong and Chloe discovers the dead body of her classmate London Hayes left floating in the reservoir, Chloe is sent away from town and away from Ruby. But Ruby will do anything to get her sister back, and when Chloe returns to town two years later, deadly surprises await. As Chloe flirts with the truth that Ruby has hidden deeply away, the fragile line between life and death is redrawn by the complex bonds of sisterhood. With palpable drama and delicious craft, Nova Ren Suma bursts onto the YA scene with the story that everyone will be talking about.
Publisher: Penguin
ISBN: 1101516135
Category : Young Adult Fiction
Languages : en
Pages : 216
Book Description
Chloe's older sister, Ruby, is the girl everyone looks to and longs for, who can't be captured or caged. When a night with Ruby's friends goes horribly wrong and Chloe discovers the dead body of her classmate London Hayes left floating in the reservoir, Chloe is sent away from town and away from Ruby. But Ruby will do anything to get her sister back, and when Chloe returns to town two years later, deadly surprises await. As Chloe flirts with the truth that Ruby has hidden deeply away, the fragile line between life and death is redrawn by the complex bonds of sisterhood. With palpable drama and delicious craft, Nova Ren Suma bursts onto the YA scene with the story that everyone will be talking about.
e: The Story of a Number
Author: Eli Maor
Publisher: Princeton University Press
ISBN: 1400832349
Category : Mathematics
Languages : en
Pages : 242
Book Description
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.
Publisher: Princeton University Press
ISBN: 1400832349
Category : Mathematics
Languages : en
Pages : 242
Book Description
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.