An Imaginary Tale The Story of 1 by Paul J Nahin
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Very Nice Condition with Dust jacket.
Publication Date:
1998-09-13
Pages:
280
Publication Name:
Imaginary Tale : the Story of &Radic;-1
Item Length:
9in.
Publisher:
Princeton University Press
Publication Year:
1998
Type:
Textbook
Format:
Hardcover
Language:
English
Item Height:
0.9in.
Author:
Paul J. Nahin
Features:
Revised
Item Width:
6in.
Item Weight:
20 Oz
Number of Pages:
280 Pages
Written specifically for Cambridge International Examinations‘ revised Secondary 1 syllabus, this series provides complete curriculum framework coverage for Stages 7¿. It has been written by an experienced author team and provides a seamless link into Cambridge IGCSE, maximising students‘ potential.
Product Identifiers
Publisher
Princeton University Press
Product Key Features
Author
Paul J. Nahin
Publication Name
Imaginary Tale : the Story of &Radic;-1
Format
Hardcover
Language
English
Features
Revised
Publication Year
1998
Type
Textbook
Number of Pages
280 Pages
Dimensions
Item Length
9in.
Item Height
0.9in.
Item Width
6in.
Item Weight
20 Oz
Additional Product Features
Lc Classification Number
Qa255.N34 1998
Edition Description
Revised Edition
Reviews
[An Imaginary Tale] can be read for fun and profit by anyone who has taken courses in introductory calculus, plane geometry and trigonometry. -- William Thompson, American Scientist, " An Imaginary Tale is marvelous reading and hard to put down. Readers will find that Nahin has cleared up many of the mysteries surrounding the use of complex numbers." ---Victor J. Katz, Science, Someone has finally delivered a definitive history of this ‘imaginary‘ number. . . . A must read for anyone interested in mathematics and its history. -- D. S. Larson, Choice, "Imaginary numbers! Threeve! Ninety-fifteen! No, not those kind of imaginary numbers. If you have any interest in where the concept of imaginary numbers comes from, you will be drawn into the wonderful stories of how i was discovered."-- Rebecca Russ, Math Horizons, "Someone has finally delivered a definitive history of this ‘imaginary‘ number. . . . A must read for anyone interested in mathematics and its history." ---D. S. Larson, Choice, "A book-length hymn of praise to the square root of minus one." ---Brian Rotman, Times Literary Supplement, "Attempting to explain imaginary numbers to a non-mathematician can be a frustrating experience. . . . On such occasions, it would be most useful to have a copy of Paul Nahin‘s excellent book at hand."-- A. Rice, Mathematical Gazette, Someone has finally delivered a definitive history of this ‘imaginary‘ number. . . . A must read for anyone interested in mathematics and its history. ---D. S. Larson, Choice, [ An Imaginary Tale ] can be read for fun and profit by anyone who has taken courses in introductory calculus, plane geometry and trigonometry. -- William Thompson, American Scientist, " An Imaginary Tale is marvelous reading and hard to put down. Readers will find that Nahin has cleared up many of the mysteries surrounding the use of complex numbers." --Victor J. Katz, Science, "There Will Be Something of Reward in this Book for Everyone." ---R.G. Keesing, Contemporary Physics, [An Imaginary Tale] can be read for fun and profit by anyone who has taken courses in introductory calculus, plane geometry and trigonometry., Nahin has given us a fine addition to the family of books about particular numbers. It is interesting to speculate what the next member of the family will be about. Zero? The Euler constant? The square root of two? While we are waiting, we can enjoy An Imaginary Tale . -- Ed Sandifer, MAA Online, "Nahin has given us a fine addition to the family of books about particular numbers. It is interesting to speculate what the next member of the family will be about. Zero? The Euler constant? The square root of two? While we are waiting, we can enjoy An Imaginary Tale ." ---Ed Sandifer, MAA Online, Honorable Mention for the 1998 Award for Best Professional/Scholarly Book in Mathematics, Association of American Publishers One of Choice ‘s Outstanding Academic Titles for 1999, Honorable Mention for the 1998 Award for Best Professional/Scholarly Book in Mathematics, Association of American Publishers, "Nahin has given us a fine addition to the family of books about particular numbers. It is interesting to speculate what the next member of the family will be about. Zero? The Euler constant? The square root of two? While we are waiting, we can enjoy An Imaginary Tale ." --Ed Sandifer, MAA Online, "A book-length hymn of praise to the square root of minus one." --Brian Rotman, Times Literary Supplement, A book-length hymn of praise to the square root of minus one. ---Brian Rotman, Times Literary Supplement, "Attempting to explain imaginary numbers to a non-mathematician can be a frustrating experience. . . . On such occasions, it would be most useful to have a copy of Paul Nahin‘s excellent book at hand." --A. Rice, Mathematical Gazette, "Nahin has given us a fine addition to the family of books about particular numbers. It is interesting to speculate what the next member of the family will be about. Zero? The Euler constant? The square root of two? While we are waiting, we can enjoy An Imaginary Tale ."-- Ed Sandifer, MAA Online, "[ An Imaginary Tale ] can be read for fun and profit by anyone who has taken courses in introductory calculus, plane geometry and trigonometry."-- William Thompson, American Scientist, An Imaginary Tale is marvelous reading and hard to put down. Readers will find that Nahin has cleared up many of the mysteries surrounding the use of complex numbers. ---Victor J. Katz, Science, "[ An Imaginary Tale ] can be read for fun and profit by anyone who has taken courses in introductory calculus, plane geometry and trigonometry." --William Thompson, American Scientist, [ An Imaginary Tale ] can be read for fun and profit by anyone who has taken courses in introductory calculus, plane geometry and trigonometry. ---William Thompson, American Scientist, "Paul Nahin‘s book is a delightful romp through the development of imaginary numbers." ---Robin J. Wilson, London Mathematical Society Newsletter, Attempting to explain imaginary numbers to a non-mathematician can be a frustrating experience. . . . On such occasions, it would be most useful to have a copy of Paul Nahin‘s excellent book at hand., "[ An Imaginary Tale ] can be read for fun and profit by anyone who has taken courses in introductory calculus, plane geometry and trigonometry." ---William Thompson, American Scientist, Imaginary numbers! Threeve! Ninety-fifteen! No, not those kind of imaginary numbers. If you have any interest in where the concept of imaginary numbers comes from, you will be drawn into the wonderful stories of how i was discovered., "Dispelling many common myths about the origin of the mystic ‘imaginary‘ unit, Nahin tells the story of i from a historic as well as human perspective. His enthusiasm and informal style easily catch on to the reader. An Imaginary Tale is a must for anyone curious about the evolution of our number concept." --Eli Maor, author of Trigonometric Delights , e: The Story of a Number , and To Infinity and Beyond, "A book-length hymn of praise to the square root of minus one."-- Brian Rotman, Times Literary Supplement, "Attempting to explain imaginary numbers to a non-mathematician can be a frustrating experience. . . . On such occasions, it would be most useful to have a copy of Paul Nahin‘s excellent book at hand." ---A. Rice, Mathematical Gazette, "Imaginary numbers! Threeve! Ninety-fifteen! No, not those kind of imaginary numbers. If you have any interest in where the concept of imaginary numbers comes from, you will be drawn into the wonderful stories of how i was discovered." --Rebecca Russ, Math Horizons, Nahin has given us a fine addition to the family of books about particular numbers. It is interesting to speculate what the next member of the family will be about. Zero? The Euler constant? The square root of two? While we are waiting, we can enjoy "An Imaginary Tale,", Paul Nahin‘s book is a delightful romp through the development of imaginary numbers. -- Robin J. Wilson, London Mathematical Society Newsletter, Attempting to explain imaginary numbers to a non-mathematician can be a frustrating experience. . . . On such occasions, it would be most useful to have a copy of Paul Nahin‘s excellent book at hand. ---A. Rice, Mathematical Gazette, Nahin has given us a fine addition to the family of books about particular numbers. It is interesting to speculate what the next member of the family will be about. Zero? The Euler constant? The square root of two? While we are waiting, we can enjoy An Imaginary Tale . ---Ed Sandifer, MAA Online, "Paul Nahin‘s book is a delightful romp through the development of imaginary numbers." --Robin J. Wilson, London Mathematical Society Newsletter, "Someone has finally delivered a definitive history of this ‘imaginary‘ number. . . . A must read for anyone interested in mathematics and its history."-- D. S. Larson, Choice, Imaginary numbers! Threeve! Ninety-fifteen! No, not those kind of imaginary numbers. If you have any interest in where the concept of imaginary numbers comes from, you will be drawn into the wonderful stories of how i was discovered. ---Rebecca Russ, Math Horizons, Someone has finally delivered a definitive history of this ‘imaginary‘ number. . . . A must read for anyone interested in mathematics and its history., "Someone has finally delivered a definitive history of this ‘imaginary‘ number. . . . A must read for anyone interested in mathematics and its history." --D. S. Larson, Choice, An Imaginary Tale is marvelous reading and hard to put down. Readers will find that Nahin has cleared up many of the mysteries surrounding the use of complex numbers. -- Victor J. Katz, Science, Paul Nahin‘s book is a delightful romp through the development of imaginary numbers. ---Robin J. Wilson, London Mathematical Society Newsletter, "Paul Nahin‘s book is a delightful romp through the development of imaginary numbers."-- Robin J. Wilson, London Mathematical Society Newsletter, " An Imaginary Tale is marvelous reading and hard to put down. Readers will find that Nahin has cleared up many of the mysteries surrounding the use of complex numbers."-- Victor J. Katz, Science, "Imaginary numbers! Threeve! Ninety-fifteen! No, not those kind of imaginary numbers. If you have any interest in where the concept of imaginary numbers comes from, you will be drawn into the wonderful stories of how i was discovered." ---Rebecca Russ, Math Horizons, An Imaginary Taleis marvelous reading and hard to put down. Readers will find that Nahin has cleared up many of the mysteries surrounding the use of complex numbers.
Table of Content
List of Illustrations Preface Introduction 3 Ch. 1 The Puzzles of Imaginary Numbers 8 Ch. 2 A First Try at Understanding the Geometry of [the square root of] -1 31 Ch. 3 The Puzzles Start to Clear 48 Ch. 4 Using Complex Numbers 84 Ch. 5 More Uses of Complex Numbers 105 Ch. 6 Wizard Mathematics 142 Ch. 7 The Nineteenth Century, Cauchy, and the Beginning of Complex Function Theory 187 App. A The Fundamental Theorem of Algebra 227 App. B The Complex Roots of a Transcendental Equation 230 App. C ([the square root of] -1)[superscript [square root of] -1] to 135 Decimal Places, and How It Was Computed 235 Notes 239 Name Index 251 Subject Index 255 Acknowledgments 259
Copyright Date
1999
Target Audience
College Audience
Topic
History & Philosophy, Complex Analysis
Illustrated
Yes
Genre
Mathematics
FREE SHIPPIN\G
An Imaginary Tale The Story of 1 by Paul J Nahin
$80.00
Sale price
$80.00
Regular price
Publication Date:
1998-09-13
Pages:
280
Publication Name:
Imaginary Tale : the Story of &Radic;-1
Item Length:
9in.
Publisher:
Princeton University Press
Publication Year:
1998
Type:
Textbook
Format:
Hardcover
Language:
English
Item Height:
0.9in.
Author:
Paul J. Nahin
Features:
Revised
Item Width:
6in.
Item Weight:
20 Oz
Number of Pages:
280 Pages
Written specifically for Cambridge International Examinations‘ revised Secondary 1 syllabus, this series provides complete curriculum framework coverage for Stages 7¿. It has been written by an experienced author team and provides a seamless link into Cambridge IGCSE, maximising students‘ potential.
Product Identifiers
Publisher
Princeton University Press
Product Key Features
Author
Paul J. Nahin
Publication Name
Imaginary Tale : the Story of &Radic;-1
Format
Hardcover
Language
English
Features
Revised
Publication Year
1998
Type
Textbook
Number of Pages
280 Pages
Dimensions
Item Length
9in.
Item Height
0.9in.
Item Width
6in.
Item Weight
20 Oz
Additional Product Features
Lc Classification Number
Qa255.N34 1998
Edition Description
Revised Edition
Reviews
[An Imaginary Tale] can be read for fun and profit by anyone who has taken courses in introductory calculus, plane geometry and trigonometry. -- William Thompson, American Scientist, " An Imaginary Tale is marvelous reading and hard to put down. Readers will find that Nahin has cleared up many of the mysteries surrounding the use of complex numbers." ---Victor J. Katz, Science, Someone has finally delivered a definitive history of this ‘imaginary‘ number. . . . A must read for anyone interested in mathematics and its history. -- D. S. Larson, Choice, "Imaginary numbers! Threeve! Ninety-fifteen! No, not those kind of imaginary numbers. If you have any interest in where the concept of imaginary numbers comes from, you will be drawn into the wonderful stories of how i was discovered."-- Rebecca Russ, Math Horizons, "Someone has finally delivered a definitive history of this ‘imaginary‘ number. . . . A must read for anyone interested in mathematics and its history." ---D. S. Larson, Choice, "A book-length hymn of praise to the square root of minus one." ---Brian Rotman, Times Literary Supplement, "Attempting to explain imaginary numbers to a non-mathematician can be a frustrating experience. . . . On such occasions, it would be most useful to have a copy of Paul Nahin‘s excellent book at hand."-- A. Rice, Mathematical Gazette, Someone has finally delivered a definitive history of this ‘imaginary‘ number. . . . A must read for anyone interested in mathematics and its history. ---D. S. Larson, Choice, [ An Imaginary Tale ] can be read for fun and profit by anyone who has taken courses in introductory calculus, plane geometry and trigonometry. -- William Thompson, American Scientist, " An Imaginary Tale is marvelous reading and hard to put down. Readers will find that Nahin has cleared up many of the mysteries surrounding the use of complex numbers." --Victor J. Katz, Science, "There Will Be Something of Reward in this Book for Everyone." ---R.G. Keesing, Contemporary Physics, [An Imaginary Tale] can be read for fun and profit by anyone who has taken courses in introductory calculus, plane geometry and trigonometry., Nahin has given us a fine addition to the family of books about particular numbers. It is interesting to speculate what the next member of the family will be about. Zero? The Euler constant? The square root of two? While we are waiting, we can enjoy An Imaginary Tale . -- Ed Sandifer, MAA Online, "Nahin has given us a fine addition to the family of books about particular numbers. It is interesting to speculate what the next member of the family will be about. Zero? The Euler constant? The square root of two? While we are waiting, we can enjoy An Imaginary Tale ." ---Ed Sandifer, MAA Online, Honorable Mention for the 1998 Award for Best Professional/Scholarly Book in Mathematics, Association of American Publishers One of Choice ‘s Outstanding Academic Titles for 1999, Honorable Mention for the 1998 Award for Best Professional/Scholarly Book in Mathematics, Association of American Publishers, "Nahin has given us a fine addition to the family of books about particular numbers. It is interesting to speculate what the next member of the family will be about. Zero? The Euler constant? The square root of two? While we are waiting, we can enjoy An Imaginary Tale ." --Ed Sandifer, MAA Online, "A book-length hymn of praise to the square root of minus one." --Brian Rotman, Times Literary Supplement, A book-length hymn of praise to the square root of minus one. ---Brian Rotman, Times Literary Supplement, "Attempting to explain imaginary numbers to a non-mathematician can be a frustrating experience. . . . On such occasions, it would be most useful to have a copy of Paul Nahin‘s excellent book at hand." --A. Rice, Mathematical Gazette, "Nahin has given us a fine addition to the family of books about particular numbers. It is interesting to speculate what the next member of the family will be about. Zero? The Euler constant? The square root of two? While we are waiting, we can enjoy An Imaginary Tale ."-- Ed Sandifer, MAA Online, "[ An Imaginary Tale ] can be read for fun and profit by anyone who has taken courses in introductory calculus, plane geometry and trigonometry."-- William Thompson, American Scientist, An Imaginary Tale is marvelous reading and hard to put down. Readers will find that Nahin has cleared up many of the mysteries surrounding the use of complex numbers. ---Victor J. Katz, Science, "[ An Imaginary Tale ] can be read for fun and profit by anyone who has taken courses in introductory calculus, plane geometry and trigonometry." --William Thompson, American Scientist, [ An Imaginary Tale ] can be read for fun and profit by anyone who has taken courses in introductory calculus, plane geometry and trigonometry. ---William Thompson, American Scientist, "Paul Nahin‘s book is a delightful romp through the development of imaginary numbers." ---Robin J. Wilson, London Mathematical Society Newsletter, Attempting to explain imaginary numbers to a non-mathematician can be a frustrating experience. . . . On such occasions, it would be most useful to have a copy of Paul Nahin‘s excellent book at hand., "[ An Imaginary Tale ] can be read for fun and profit by anyone who has taken courses in introductory calculus, plane geometry and trigonometry." ---William Thompson, American Scientist, Imaginary numbers! Threeve! Ninety-fifteen! No, not those kind of imaginary numbers. If you have any interest in where the concept of imaginary numbers comes from, you will be drawn into the wonderful stories of how i was discovered., "Dispelling many common myths about the origin of the mystic ‘imaginary‘ unit, Nahin tells the story of i from a historic as well as human perspective. His enthusiasm and informal style easily catch on to the reader. An Imaginary Tale is a must for anyone curious about the evolution of our number concept." --Eli Maor, author of Trigonometric Delights , e: The Story of a Number , and To Infinity and Beyond, "A book-length hymn of praise to the square root of minus one."-- Brian Rotman, Times Literary Supplement, "Attempting to explain imaginary numbers to a non-mathematician can be a frustrating experience. . . . On such occasions, it would be most useful to have a copy of Paul Nahin‘s excellent book at hand." ---A. Rice, Mathematical Gazette, "Imaginary numbers! Threeve! Ninety-fifteen! No, not those kind of imaginary numbers. If you have any interest in where the concept of imaginary numbers comes from, you will be drawn into the wonderful stories of how i was discovered." --Rebecca Russ, Math Horizons, Nahin has given us a fine addition to the family of books about particular numbers. It is interesting to speculate what the next member of the family will be about. Zero? The Euler constant? The square root of two? While we are waiting, we can enjoy "An Imaginary Tale,", Paul Nahin‘s book is a delightful romp through the development of imaginary numbers. -- Robin J. Wilson, London Mathematical Society Newsletter, Attempting to explain imaginary numbers to a non-mathematician can be a frustrating experience. . . . On such occasions, it would be most useful to have a copy of Paul Nahin‘s excellent book at hand. ---A. Rice, Mathematical Gazette, Nahin has given us a fine addition to the family of books about particular numbers. It is interesting to speculate what the next member of the family will be about. Zero? The Euler constant? The square root of two? While we are waiting, we can enjoy An Imaginary Tale . ---Ed Sandifer, MAA Online, "Paul Nahin‘s book is a delightful romp through the development of imaginary numbers." --Robin J. Wilson, London Mathematical Society Newsletter, "Someone has finally delivered a definitive history of this ‘imaginary‘ number. . . . A must read for anyone interested in mathematics and its history."-- D. S. Larson, Choice, Imaginary numbers! Threeve! Ninety-fifteen! No, not those kind of imaginary numbers. If you have any interest in where the concept of imaginary numbers comes from, you will be drawn into the wonderful stories of how i was discovered. ---Rebecca Russ, Math Horizons, Someone has finally delivered a definitive history of this ‘imaginary‘ number. . . . A must read for anyone interested in mathematics and its history., "Someone has finally delivered a definitive history of this ‘imaginary‘ number. . . . A must read for anyone interested in mathematics and its history." --D. S. Larson, Choice, An Imaginary Tale is marvelous reading and hard to put down. Readers will find that Nahin has cleared up many of the mysteries surrounding the use of complex numbers. -- Victor J. Katz, Science, Paul Nahin‘s book is a delightful romp through the development of imaginary numbers. ---Robin J. Wilson, London Mathematical Society Newsletter, "Paul Nahin‘s book is a delightful romp through the development of imaginary numbers."-- Robin J. Wilson, London Mathematical Society Newsletter, " An Imaginary Tale is marvelous reading and hard to put down. Readers will find that Nahin has cleared up many of the mysteries surrounding the use of complex numbers."-- Victor J. Katz, Science, "Imaginary numbers! Threeve! Ninety-fifteen! No, not those kind of imaginary numbers. If you have any interest in where the concept of imaginary numbers comes from, you will be drawn into the wonderful stories of how i was discovered." ---Rebecca Russ, Math Horizons, An Imaginary Taleis marvelous reading and hard to put down. Readers will find that Nahin has cleared up many of the mysteries surrounding the use of complex numbers.
Table of Content
List of Illustrations Preface Introduction 3 Ch. 1 The Puzzles of Imaginary Numbers 8 Ch. 2 A First Try at Understanding the Geometry of [the square root of] -1 31 Ch. 3 The Puzzles Start to Clear 48 Ch. 4 Using Complex Numbers 84 Ch. 5 More Uses of Complex Numbers 105 Ch. 6 Wizard Mathematics 142 Ch. 7 The Nineteenth Century, Cauchy, and the Beginning of Complex Function Theory 187 App. A The Fundamental Theorem of Algebra 227 App. B The Complex Roots of a Transcendental Equation 230 App. C ([the square root of] -1)[superscript [square root of] -1] to 135 Decimal Places, and How It Was Computed 235 Notes 239 Name Index 251 Subject Index 255 Acknowledgments 259
Copyright Date
1999
Target Audience
College Audience
Topic
History & Philosophy, Complex Analysis
Illustrated
Yes
Genre
Mathematics
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