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Gamma: Erforschung der Eulerschen Konstante [Princeton Science Library]
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Artikelmerkmale
- Artikelzustand
- Book Title
- Gamma: Exploring Euler's Constant (Princeton Science Library)
- ISBN
- 9780691099835
- Publication Year
- 2003
- Series
- Princeton Science Library
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Publication Name
- Gamma : Exploring Euler's Constant
- Item Length
- 9.2in
- Publisher
- Princeton University Press
- Item Width
- 6in
- Item Weight
- 20 Oz
- Number of Pages
- 296 Pages
Über dieses Produkt
Product Information
Among the many constants that appear in mathematics, , e , and i are the most familiar. Following closely behind is y , or gamma, a constant that arises in many mathematical areas yet maintains a profound sense of mystery. In a tantalizing blend of history and mathematics, Julian Havil takes the reader on a journey through logarithms and the harmonic series, the two defining elements of gamma, toward the first account of gamma's place in mathematics. Introduced by the Swiss mathematician Leonhard Euler (1707-1783), who figures prominently in this book, gamma is defined as the limit of the sum of 1 + 1/2 + 1/3 + . . . Up to 1/ n , minus the natural logarithm of n --the numerical value being 0.5772156. . . . But unlike its more celebrated colleagues and e , the exact nature of gamma remains a mystery--we don't even know if gamma can be expressed as a fraction. Among the numerous topics that arise during this historical odyssey into fundamental mathematical ideas are the Prime Number Theorem and the most important open problem in mathematics today--the Riemann Hypothesis (though no proof of either is offered ). Sure to be popular with not only students and instructors but all math aficionados, Gamma takes us through countries, centuries, lives, and works, unfolding along the way the stories of some remarkable mathematics from some remarkable mathematicians.
Product Identifiers
Publisher
Princeton University Press
ISBN-10
0691099839
ISBN-13
9780691099835
eBay Product ID (ePID)
2423159
Product Key Features
Publication Name
Gamma : Exploring Euler's Constant
Format
Hardcover
Language
English
Publication Year
2003
Series
Princeton Science Library
Type
Textbook
Number of Pages
296 Pages
Dimensions
Item Length
9.2in
Item Width
6in
Item Weight
20 Oz
Additional Product Features
Series Volume Number
53
Lc Classification Number
Qa41.H23 2003
Reviews
"[A] wonderful book. . . . Havil's emphasis on historical context and his conversational style make this a pleasure to read. . . . Gamma is a gold mine of irresistible mathematical nuggets. Anyone with a serious interest in maths will find it richly rewarding." --Ben Longstaff, New Scientist, "There is plenty of motivation to be found in this book with anecdotes and general historical exposition providing context for the significance of results and bridging the material." ---Johar Ashfaque, Mathematics Today, Wonderful. . . . Havil's emphasis on historical context and his conversational style make this a pleasure to read. . . . Gamma is a gold mine of irresistible mathematical nuggets. Anyone with a serious interest in math will find it richly rewarding."-- New Scientist "A joy from start to finish."-- Mathematical Gazette "[ Gamma ] is not a book about mathematics, but a book of mathematics. . . . [It] is something like a picaresque novel; the hero, Euler's constant g , serves as the unifying motif through a wide range of mathematical adventures., [A] wonderful book. . . Havil's emphasis on historical context and his conversational style make this a pleasure to read. Anyone with a serious interest in math will find it richly rewarding., [A] wonderful book. . . . Havil's emphasis on historical context and his conversational style make this a pleasure to read. . . .Gammais a gold mine of irresistible mathematical nuggets. Anyone with a serious interest in maths will find it richly rewarding. -- Ben Longstaff, New Scientist, "[A] wonderful book. . . . Havil's emphasis on historical context and his conversational style make this a pleasure to read. . . . Gamma is a gold mine of irresistible mathematical nuggets. Anyone with a serious interest in maths will find it richly rewarding."-- Ben Longstaff, New Scientist, "[ Gamma ] is not a book about mathematics, but a book of mathematics. . . . [It] is something like a picaresque novel; the hero, Euler's constant g , serves as the unifying motif through a wide range of mathematical adventures."-- Dan Segal, Notices of the American Mathematical Society, "[ Gamma ] is not a book about mathematics, but a book of mathematics. . . . [It] is something like a picaresque novel; the hero, Eulers constant g , serves as the unifying motif through a wide range of mathematical adventures."-- Dan Segal, Notices of the American Mathematical Society, "It is only fitting that someone should write a book about gamma, or Euler's constant. Havil takes on this task and does an excellent job." -- Choice, The book is enjoyable for many reasons. Here are just two. First, the explanations are not only complete, but they have the right amount of generality. . . . Second, the pleasure Havil has in contemplating this material is infectious., "[A] wonderful book. . . . Havil's emphasis on historical context and his conversational style make this a pleasure to read. . . . Gamma is a gold mine of irresistible mathematical nuggets. Anyone with a serious interest in maths will find it richly rewarding." ---Ben Longstaff, New Scientist, The book is enjoyable for many reasons. Here are just two. First, the explanations are not only complete, but they have the right amount of generality. . . . Second, the pleasure Havil has in contemplating this material is infectious. -- Jeremy Gray, MAA Online, "Mathematics is presented throughout as something connected to reality. . . . Many readers will find in [ Gamma ] exactly what they have been missing." ---Mohammad Akbar, Plus Magazine, "This book is written in an informal, engaging, and often amusing style. The author takes pains to make the mathematics clear. He writes about the mathematical geniuses of the past with reverence and awe. It is especially nice that the mathematical topics are discussed within a historical context." ---Ward R. Stewart, Mathematics Teacher, [A] wonderful book. . . . Havil's emphasis on historical context and his conversational style make this a pleasure to read. . . . Gamma is a gold mine of irresistible mathematical nuggets. Anyone with a serious interest in maths will find it richly rewarding. -- Ben Longstaff, New Scientist, "I like this book very much. So much, in fact, that I found myself muttering 'neat stuff!' all the way through. While it is about an important topic, there isn't a single competitor. This amazing oversight by past authors is presumably the result of the topic requiring an author with a pretty sophisticated mathematical personality. Havil clearly has that. His skillful weaving of mathematics and history makes the book a 'fun' read. Many instructors will surely find the book attractive." --Paul J. Nahin, author of Duelling Idiots and Other Probability Puzzlers and An Imaginary Tale, This book is accessible to a wide range of readers, and should particularly appeal to those who feel a love for mathematics and are dissuaded by the dryness and formality of text-books, but are also not satisfied by the less rigorous approach of most popular books. Mathematics is presented throughout as something connected to reality. . . . Many readers will find in this book exactly what they have been missing., "The book is enjoyable for many reasons. Here are just two. First, the explanations are not only complete, but they have the right amount of generality. . . . Second, the pleasure Havil has in contemplating this material is infectious." --Jeremy Gray, MAA Online, It is only fitting that someone should write a book about gamma, or Euler's constant. Havil takes on this task and does an excellent job., This book is written in an informal, engaging, and often amusing style. The author takes pains to make the mathematics clear. He writes about the mathematical geniuses of the past with reverence and awe. It is especially nice that the mathematical topics are discussed within a historical context. ---Ward R. Stewart, Mathematics Teacher, [Gamma] is not a book about mathematics, but a book of mathematics. . . . [It] is something like a picaresque novel; the hero, Euler's constantg, serves as the unifying motif through a wide range of mathematical adventures., [ Gamma ] is not a book about mathematics, but a book of mathematics. . . . [It] is something like a picaresque novel; the hero, Euler's constant g , serves as the unifying motif through a wide range of mathematical adventures. -- Dan Segal, Notices of the American Mathematical Society, "This book is accessible to a wide range of readers, and should particularly appeal to those who feel a love for mathematics and are dissuaded by the dryness and formality of text-books, but are also not satisfied by the less rigorous approach of most popular books. Mathematics is presented throughout as something connected to reality. . . . Many readers will find in this book exactly what they have been missing." --Mohammad Akbar, Plus Magazine , Millennium Mathematics Project, University of Cambridge, This book is written in an informal, engaging, and often amusing style. The author takes pains to make the mathematics clear. He writes about the mathematical geniuses of the past with reverence and awe. It is especially nice that the mathematical topics are discussed within a historical context. -- Ward R. Stewart, Mathematics Teacher, "This is an excellent book, mathematically as well as historically. It represents a significant contribution to the literature on mathematics and its history at the upper undergraduate and graduate levels. Julian Havil injects genuine excitement into the topic." --Eli Maor, author of e: The Story of a Number, "The book is enjoyable for many reasons. Here are just two. First, the explanations are not only complete, but they have the right amount of generality. . . . Second, the pleasure Havil has in contemplating this material is infectious."-- Jeremy Gray, MAA Online, "[A] wonderful book. . . . Havils emphasis on historical context and his conversational style make this a pleasure to read. . . . Gamma is a gold mine of irresistible mathematical nuggets. Anyone with a serious interest in maths will find it richly rewarding."-- Ben Longstaff, New Scientist, This book is accessible to a wide range of readers, and should particularly appeal to those who feel a love for mathematics and are dissuaded by the dryness and formality of text-books, but are also not satisfied by the less rigorous approach of most popular books. Mathematics is presented throughout as something connected to reality. . . . Many readers will find in this book exactly what they have been missing. -- Mohammad Akbar, Plus Magazine, "This book is accessible to a wide range of readers, and should particularly appeal to those who feel a love for mathematics and are dissuaded by the dryness and formality of text-books, but are also not satisfied by the less rigorous approach of most popular books. Mathematics is presented throughout as something connected to reality. . . . Many readers will find in this book exactly what they have been missing."-- Mohammad Akbar, Plus Magazine , Millennium Mathematics Project, University of Cambridge, It is only fitting that someone should write a book about gamma, or Euler's constant. Havil takes on this task and does an excellent job. -- Choice, "This book is written in an informal, engaging, and often amusing style. The author takes pains to make the mathematics clear. He writes about the mathematical geniuses of the past with reverence and awe. It is especially nice that the mathematical topics are discussed within a historical context." --Ward R. Stewart, Mathematics Teacher, [ Gamma ] is enjoyable for many reasons. Here are just two. First, the explanations are not only complete, but they have the right amount of generality. . . . Second, the pleasure Havil has in contemplating this material is infectious., "[ Gamma ] is not a book about mathematics, but a book of mathematics. . . . [It] is something like a picaresque novel; the hero, Euler's constant g , serves as the unifying motif through a wide range of mathematical adventures." --Dan Segal, Notices of the American Mathematical Society, Mathematics is presented throughout as something connected to reality. . . . Many readers will find in [ Gamma ] exactly what they have been missing. ---Mohammad Akbar, Plus Magazine, "It is only fitting that someone should write a book about gamma, or Euler's constant. Havil takes on this task and does an excellent job."-- Choice, "This book is written in an informal, engaging, and often amusing style. The author takes pains to make the mathematics clear. He writes about the mathematical geniuses of the past with reverence and awe. It is especially nice that the mathematical topics are discussed within a historical context."-- Ward R. Stewart, Mathematics Teacher, [A] wonderful book. . . . Havil's emphasis on historical context and his conversational style make this a pleasure to read. . . . Gamma is a gold mine of irresistible mathematical nuggets. Anyone with a serious interest in maths will find it richly rewarding. ---Ben Longstaff, New Scientist, "Wonderful. . . . Havil's emphasis on historical context and his conversational style make this a pleasure to read. . . . Gamma is a gold mine of irresistible mathematical nuggets. Anyone with a serious interest in math will find it richly rewarding."-- New Scientist "A joy from start to finish."-- Mathematical Gazette "[ Gamma ] is not a book about mathematics, but a book of mathematics. . . . [It] is something like a picaresque novel; the hero, Euler's constant g , serves as the unifying motif through a wide range of mathematical adventures.", This book is written in an informal, engaging, and often amusing style. The author takes pains to make the mathematics clear. He writes about the mathematical geniuses of the past with reverence and awe. It is especially nice that the mathematical topics are discussed within a historical context., [Gamma] is not a book about mathematics, but a book of mathematics. . . . [It] is something like a picaresque novel; the hero, Euler's constantg, serves as the unifying motif through a wide range of mathematical adventures. -- Dan Segal, Notices of the American Mathematical Society
Copyright Date
2003
Target Audience
College Audience
Topic
History & Philosophy, General, History, Science & Technology
Lccn
2002-192453
Dewey Decimal
513
Dewey Edition
22
Illustrated
Yes
Genre
Biography & Autobiography, Science, Mathematics
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