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Elemente der Mathematik: Von Euklid zu G?del von John Stillwell (Englisch) Paperb-
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eBay-Artikelnr.:365732236608
Artikelmerkmale
- Artikelzustand
- ISBN-13
- 9780691178547
- Book Title
- Elements of Mathematics
- ISBN
- 9780691178547
Über dieses Produkt
Product Identifiers
Publisher
Princeton University Press
ISBN-10
0691178542
ISBN-13
9780691178547
eBay Product ID (ePID)
237795155
Product Key Features
Number of Pages
440 Pages
Language
English
Publication Name
Elements of Mathematics : from Euclid to Gödel
Subject
History & Philosophy, Study & Teaching, General, History
Publication Year
2017
Type
Textbook
Subject Area
Mathematics, Science
Format
Trade Paperback
Dimensions
Item Height
1 in
Item Weight
24.1 Oz
Item Length
9.4 in
Item Width
7.6 in
Additional Product Features
Intended Audience
College Audience
Dewey Edition
23
Reviews
"An accessible read. . . . Stillwell breaks down the basics, providing both historical and practical perspectives from arithmetic to infinity." ---Gemma Tarlach, Discover, " Elements of Mathematics is a fine . . . overview of the field of mathematics. . . . The writing is clear, succinct, organized, and the diagrams [and] illustrations excellent. . . . While some of the discussion is introductory or elementary, it always leads to deeper, more challenging ideas. . . . [T]his will make a fine basic addition to most mathematicians' bookshelves." -- Math Tango, "[A] wonderful book . . . I think that [ Elements of Mathematics ] will itself become a modern classic and a reference work for anyone trying to learn basic topics in any of the major fields of mathematics." ---Victor Katz, Bulletin of the American Mathematical Society, An accessible read. . . . Stillwell breaks down the basics, providing both historical and practical perspectives from arithmetic to infinity. ---Gemma Tarlach, Discover, Stillwell uses his broad and impressive command of mathematics to transport a reader through each topic and to a higher level of understanding and questioning., "[A] wonderful book. . . . I think that [ Elements of Mathematics ] will itself become a modern classic and a reference work for anyone trying to learn basic topics in any of the major fields of mathematics." --Victor Katz, Bulletin of the American Mathematical Society, "[ Elements of Mathematics ] is quite a tour de force, organized by areas of mathematics--arithmetic, computation, algebra, geometry, calculus, and so on--and in each area Stillwell manages to distill down the big ideas and the connections with other areas. He is a master expositor, and the text manages to be engaging and accessible without watering down the mathematics. I definitely learned new things from the book!" ---Brent Yorgey, Math Less Traveled, This excellent book is definitely for mathematicians and fellow travelers. It filled several gaps in areas of my own purported expertise, and opened vistas in others. ---George Hacken, Computing Reviews, [A] wonderful book . . . I think that [ Elements of Mathematics ] will itself become a modern classic and a reference work for anyone trying to learn basic topics in any of the major fields of mathematics. ---Victor Katz, Bulletin of the American Mathematical Society, "Readers familiar with Stillwell's previous books . . . Will not be surprised that this beautifully produced book features crystal-clear prose which is mathematically accurate, historically aware, philosophically sensitive and rich with novel twists and refreshing insights. . . . I thoroughly enjoyed this thought-provoking and very readable book. It is notably strong (and notably clear) on foundational issues and the manner in which these now permeate the whole of mathematics and, by the end, I really warmed to the idea of trying sensitively to locate the boundary between elementary and advanced mathematics." --Nick Lord, Mathematical Gazette, From a lifetime of teaching, Stillwell has distilled some nice examples from the entire gamut of elementary mathematics., "[Stillwell] writes clearly and engagingly. . . . [ Elements of Mathematics ] can appeal to various constituencies at different levels of mathematical sophistication." --Mark Hunacek, MAA Reviews, [ Elements of Mathematics ] is a book that everybody should read. You will be the better for it. ---Reuben Hersh, American Mathematical Monthly, "A great exploration of elementary mathematics, its limitations, how infinity complicates things, and how various branches of mathematics fit together." ---Antonio Cangiano, Math-Blog, "Readers familiar with Stillwell's previous books . . . Will not be surprised that this beautifully produced book features crystal-clear prose which is mathematically accurate, historically aware, philosophically sensitive and rich with novel twists and refreshing insights. . . . I thoroughly enjoyed this thought-provoking and very readable book. It is notably strong (and notably clear) on foundational issues and the manner in which these now permeate the whole of mathematics and, by the end, I really warmed to the idea of trying sensitively to locate the boundary between elementary and advanced mathematics." ---Nick Lord, Mathematical Gazette, One of Forbes.com's 10 Best Astronomy, Physics and Mathematics Books of 2017, chosen by GrrlScientist, "The coherence of mathematics is on display in this masterful, beautifully written synthesis. With probing questions, lucid explanations, and fascinating examples and stories, John Stillwell reveals where the seemingly separate branches of math came from, how they intertwine, and why the hidden unifier is the deepest idea of all: infinity." --Steven Strogatz, Cornell University and author of The Joy of x, "This fascinating book by John Stillwell, an Australian mathematician who won the prestigious Chauvenet Prize, is a carefully structured and clearly written overview of a variety of 'elementary' mathematical topics, from number theory, computability, algebra, geometry, calculus, combinatorics, probability, and logic. . . . Specialists will enjoy it, whilst the rest of us will learn a lot." ---Forbes.com, "This fascinating book by John Stillwell, an Australian mathematician who won the prestigious Chauvenet Prize, is a carefully structured and clearly written overview of a variety of 'elementary' mathematical topics, from number theory, computability, algebra, geometry, calculus, combinatorics, probability, and logic. . . . Specialists will enjoy it, whilst the rest of us will learn a lot." ---Forbes.com,, Stillwell is . . . One of the better current mathematical authors: he writes clearly and engagingly, and makes more of an effort than most to provide historical detail and a sense of how various mathematical ideas tie in with one another. . . . The features we have learned to expect from Stillwell (including, but not limited to, excellent writing) are present in [ Elements of Mathematics ] as well., "[A] wonderful book. . . . I think that [ Elements of Mathematics ] will itself become a modern classic and a reference work for anyone trying to learn basic topics in any of the major fields of mathematics." ---Victor Katz, Bulletin of the American Mathematical Society, "Stillwell uses his broad and impressive command of mathematics to transport a reader through each topic and to a higher level of understanding and questioning." -- Convergence, "[ Elements of Mathematics ] is a book that everybody should read. You will be the better for it." ---Reuben Hersh, American Mathematical Monthly, "This is a beautifully written overview and excursion through elementary mathematics, written to appeal to nonspecialists. The book is distinguished by its breadth of scope and precise details. It will be a classic in the field." --David Bressoud, Macalester College, A great exploration of elementary mathematics, its limitations, how infinity complicates things, and how various branches of mathematics fit together. ---Antonio Cangiano, Math-Blog, One of Forbes.com'e(tm)s 10 Best Astronomy, Physics and Mathematics Books of 2017, chosen by GrrlScientist, "This fascinating book by John Stillwell, an Australian mathematician who won the prestigious Chauvenet Prize, is a carefully structured and clearly written overview of a variety of 'e~elementary'e(tm) mathematical topics, from number theory, computability, algebra, geometry, calculus, combinatorics, probability, and logic. . . . Specialists will enjoy it, whilst the rest of us will learn a lot." ---Forbes.com,, Elements of Mathematics is a fine . . . overview of the field of mathematics. . . . The writing is clear, succinct, organized, and the diagrams [and] illustrations excellent. . . . While some of the discussion is introductory or elementary, it always leads to deeper, more challenging ideas. . . . [T]his will make a fine basic addition to most mathematicians' bookshelves., "This excellent book is definitely for mathematicians and fellow travelers. It filled several gaps in areas of my own purported expertise, and opened vistas in others." ---George Hacken, Computing Reviews, "This is a beautifully written overview and excursion through elementary mathematics, written to appeal to nonspecialists. The book is distinguished by its breadth of scope and precise details. It will be a classic in the field." 'e"David Bressoud, Macalester College, "Stillwell is . . . One of the better current mathematical authors: he writes clearly and engagingly, and makes more of an effort than most to provide historical detail and a sense of how various mathematical ideas tie in with one another. . . . The features we have learned to expect from Stillwell (including, but not limited to, excellent writing) are present in [ Elements of Mathematics ] as well." -- MAA Reviews, [ Elements of Mathematics ] is quite a tour de force, organized by areas of mathematics--arithmetic, computation, algebra, geometry, calculus, and so on--and in each area Stillwell manages to distill down the big ideas and the connections with other areas. He is a master expositor, and the text manages to be engaging and accessible without watering down the mathematics. I definitely learned new things from the book! ---Brent Yorgey, Math Less Traveled, Elements of Mathematics is a fine . . . overview of the field of mathematics. . . . The writing is clear, succinct, organized, and the diagrams [and] illustrations excellent. . . . While some of the discussion is introductory or elementary, it always leads to deeper, more challenging ideas. . . . [T]his will make a fine basic addition to most mathematicians' bookshelves., Readers familiar with Stillwell's previous books . . . Will not be surprised that this beautifully produced book features crystal-clear prose which is mathematically accurate, historically aware, philosophically sensitive and rich with novel twists and refreshing insights. . . . I thoroughly enjoyed this thought-provoking and very readable book. It is notably strong (and notably clear) on foundational issues and the manner in which these now permeate the whole of mathematics and, by the end, I really warmed to the idea of trying sensitively to locate the boundary between elementary and advanced mathematics. ---Nick Lord, Mathematical Gazette, "From a lifetime of teaching, Stillwell has distilled some nice examples from the entire gamut of elementary mathematics." -- Mathematical Reviews Clippings, [Stillwell] writes clearly and engagingly. . . . [ Elements of Mathematics ] can appeal to various constituencies at different levels of mathematical sophistication. ---Mark Hunacek, MAA Reviews, [A] wonderful book. . . . I think that [ Elements of Mathematics ] will itself become a modern classic and a reference work for anyone trying to learn basic topics in any of the major fields of mathematics. ---Victor Katz, Bulletin of the American Mathematical Society, This fascinating book by John Stillwell, an Australian mathematician who won the prestigious Chauvenet Prize, is a carefully structured and clearly written overview of a variety of 'elementary' mathematical topics, from number theory, computability, algebra, geometry, calculus, combinatorics, probability, and logic. . . . Specialists will enjoy it, whilst the rest of us will learn a lot. ---Forbes.com,, "The coherence of mathematics is on display in this masterful, beautifully written synthesis. With probing questions, lucid explanations, and fascinating examples and stories, John Stillwell reveals where the seemingly separate branches of math came from, how they intertwine, and why the hidden unifier is the deepest idea of all: infinity." 'e"Steven Strogatz, Cornell University and author of The Joy of x
Illustrated
Yes
Dewey Decimal
510.71/1
Synopsis
Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematics--but, as John Stillwell shows, this subject is not as elementary or straightforward as one might think. Not all topics that are part of today's elementary mathematics were always considered as such, and great mathematical advances and discoveries had to occur in order for certain subjects to become "elementary." Stillwell examines elementary mathematics from a distinctive twenty-first-century viewpoint and describes not only the beauty and scope of the discipline, but also its limits. From Gaussian integers to propositional logic, Stillwell delves into arithmetic, computation, algebra, geometry, calculus, combinatorics, probability, and logic. He discusses how each area ties into more advanced topics to build mathematics as a whole. Through a rich collection of basic principles, vivid examples, and interesting problems, Stillwell demonstrates that elementary mathematics becomes advanced with the intervention of infinity.Infinity has been observed throughout mathematical history, but the recent development of "reverse mathematics" confirms that infinity is essential for proving well-known theorems, and helps to determine the nature, contours, and borders of elementary mathematics. Elements of Mathematics gives readers, from high school students to professional mathematicians, the highlights of elementary mathematics and glimpses of the parts of math beyond its boundaries., An exciting look at the world of elementary mathematics Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematics--but, as John Stillwell shows, this subject is not as elementary or straightforward as one might think. Not all topics that are part of today's elementary mathematics were always considered as such, and great mathematical advances and discoveries had to occur in order for certain subjects to become "elementary." Stillwell examines elementary mathematics from a distinctive twenty-first-century viewpoint and describes not only the beauty and scope of the discipline, but also its limits. From Gaussian integers to propositional logic, Stillwell delves into arithmetic, computation, algebra, geometry, calculus, combinatorics, probability, and logic. He discusses how each area ties into more advanced topics to build mathematics as a whole. Through a rich collection of basic principles, vivid examples, and interesting problems, Stillwell demonstrates that elementary mathematics becomes advanced with the intervention of infinity. Infinity has been observed throughout mathematical history, but the recent development of "reverse mathematics" confirms that infinity is essential for proving well-known theorems, and helps to determine the nature, contours, and borders of elementary mathematics. Elements of Mathematics gives readers, from high school students to professional mathematicians, the highlights of elementary mathematics and glimpses of the parts of math beyond its boundaries., Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematics--but, as John Stillwell shows, this subject is not as elementary or straightforward as one might think. Not all topics that are part of today's elementary mathematics were always considered as such, and great mathematical advances and discoveries had t, An exciting look at the world of elementary mathematics Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematics-but, as John Stillwell shows, this subject is not as elementary or straightforward as one might think. Not all topics that are part of today's elementary mathematics were always considered as such, and great mathematical advances and discoveries had to occur in order for certain subjects to become "elementary." Stillwell examines elementary mathematics from a distinctive twenty-first-century viewpoint and describes not only the beauty and scope of the discipline, but also its limits. From Gaussian integers to propositional logic, Stillwell delves into arithmetic, computation, algebra, geometry, calculus, combinatorics, probability, and logic. He discusses how each area ties into more advanced topics to build mathematics as a whole. Through a rich collection of basic principles, vivid examples, and interesting problems, Stillwell demonstrates that elementary mathematics becomes advanced with the intervention of infinity. Infinity has been observed throughout mathematical history, but the recent development of "reverse mathematics" confirms that infinity is essential for proving well-known theorems, and helps to determine the nature, contours, and borders of elementary mathematics. Elements of Mathematics gives readers, from high school students to professional mathematicians, the highlights of elementary mathematics and glimpses of the parts of math beyond its boundaries.
LC Classification Number
QA11.2.S8485 2017
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grandeagleretail
98,2% positive Bewertungen•2,8 Mio. Artikel verkauft
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Verkäuferbewertungen (1.057.319)
- c***a (121)- Bewertung vom Käufer.Letzter MonatBestätigter KaufThe seller was very responsive and answered me on a timely matter. The product itself came in its packaging and was new, not used at all. The packaging was not beat up or anything, safely delivered to my mailbox. No mix ups and zero stress with delivery. The price for the product is completely understandable for the product. I really appreciate the seller and I am very happy to have purchased through this seller. Completely trustable!
- m***4 (1608)- Bewertung vom Käufer.Letzter MonatBestätigter KaufLeaving positive feedback because 1) item was packed well & arrived as described 2) seller did give partial refund when subsequent price dropped below org purchase price. 3) communication was quick However, there was a downside to this transaction -item listed as in-stock but ended up waiting nearly a month for them to get it from their distributer then ship it to me (bought June 29th, arrived around July 21). Auction said 12-15 days. Better clarity would have prevented lot of frustration
- w***i (876)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufAbsolutely Wonderful Seller!! Terrific Item As Described!!! Great Service and Communication!! Shipped In Waterproof Packaging!! I Received Item In About One Week!! Very Pleased With Seller! I Will Buy From This Seller Again!!