The Calculus Gallery : : Masterpieces from Newton to Lebesgue / / William Dunham.
More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway into higher mathematics. This book charts its growth and development by sampling from the work of some of its foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm L...
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Dunham, William, author. aut http://id.loc.gov/vocabulary/relators/aut The Calculus Gallery : Masterpieces from Newton to Lebesgue / William Dunham. Princeton, NJ : Princeton University Press, [2015] ©2005 1 online resource (256 p.) : 19 halftones. 44 line illus. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Frontmatter -- Contents -- Illustrations -- Acknowledgments -- Introduction -- Chapter 1. Newton -- Chapter 2. Leibniz -- Chapter 3. Bernoullis -- Chapter 4. Euler -- Chapter 5. First Interlude -- Chapter 6. Cauchy -- Chapter 7. Riemann -- Chapter 8. Liouville -- Chapter 9. Weierstrass -- Chapter 10. Second Interlude -- Chapter 11. Cantor -- Chapter 12. Volterra -- Chapter 13. Baire -- Chapter 14. Lebesgue -- Afterword -- Notes -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway into higher mathematics. This book charts its growth and development by sampling from the work of some of its foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm Leibniz in the late seventeenth century and continuing to Henri Lebesgue at the dawn of the twentieth--mathematicians whose achievements are comparable to those of Bach in music or Shakespeare in literature. William Dunham lucidly presents the definitions, theorems, and proofs. "Students of literature read Shakespeare; students of music listen to Bach," he writes. But this tradition of studying the major works of the "masters" is, if not wholly absent, certainly uncommon in mathematics. This book seeks to redress that situation. Like a great museum, The Calculus Gallery is filled with masterpieces, among which are Bernoulli's early attack upon the harmonic series (1689), Euler's brilliant approximation of pi (1779), Cauchy's classic proof of the fundamental theorem of calculus (1823), Weierstrass's mind-boggling counterexample (1872), and Baire's original "category theorem" (1899). Collectively, these selections document the evolution of calculus from a powerful but logically chaotic subject into one whose foundations are thorough, rigorous, and unflinching--a story of genius triumphing over some of the toughest, most subtle problems imaginable. Anyone who has studied and enjoyed calculus will discover in these pages the sheer excitement each mathematician must have felt when pushing into the unknown. In touring The Calculus Gallery, we can see how it all came to be. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) Calculus History. MATHEMATICS / History & Philosophy. bisacsh Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 9783110442502 print 9780691136264 https://doi.org/10.1515/9781400866793 https://www.degruyter.com/isbn/9781400866793 Cover https://www.degruyter.com/cover/covers/9781400866793.jpg |
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English |
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Dunham, William, Dunham, William, |
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Dunham, William, Dunham, William, The Calculus Gallery : Masterpieces from Newton to Lebesgue / Frontmatter -- Contents -- Illustrations -- Acknowledgments -- Introduction -- Chapter 1. Newton -- Chapter 2. Leibniz -- Chapter 3. Bernoullis -- Chapter 4. Euler -- Chapter 5. First Interlude -- Chapter 6. Cauchy -- Chapter 7. Riemann -- Chapter 8. Liouville -- Chapter 9. Weierstrass -- Chapter 10. Second Interlude -- Chapter 11. Cantor -- Chapter 12. Volterra -- Chapter 13. Baire -- Chapter 14. Lebesgue -- Afterword -- Notes -- Index |
author_facet |
Dunham, William, Dunham, William, |
author_variant |
w d wd w d wd |
author_role |
VerfasserIn VerfasserIn |
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Dunham, William, |
title |
The Calculus Gallery : Masterpieces from Newton to Lebesgue / |
title_sub |
Masterpieces from Newton to Lebesgue / |
title_full |
The Calculus Gallery : Masterpieces from Newton to Lebesgue / William Dunham. |
title_fullStr |
The Calculus Gallery : Masterpieces from Newton to Lebesgue / William Dunham. |
title_full_unstemmed |
The Calculus Gallery : Masterpieces from Newton to Lebesgue / William Dunham. |
title_auth |
The Calculus Gallery : Masterpieces from Newton to Lebesgue / |
title_alt |
Frontmatter -- Contents -- Illustrations -- Acknowledgments -- Introduction -- Chapter 1. Newton -- Chapter 2. Leibniz -- Chapter 3. Bernoullis -- Chapter 4. Euler -- Chapter 5. First Interlude -- Chapter 6. Cauchy -- Chapter 7. Riemann -- Chapter 8. Liouville -- Chapter 9. Weierstrass -- Chapter 10. Second Interlude -- Chapter 11. Cantor -- Chapter 12. Volterra -- Chapter 13. Baire -- Chapter 14. Lebesgue -- Afterword -- Notes -- Index |
title_new |
The Calculus Gallery : |
title_sort |
the calculus gallery : masterpieces from newton to lebesgue / |
publisher |
Princeton University Press, |
publishDate |
2015 |
physical |
1 online resource (256 p.) : 19 halftones. 44 line illus. Issued also in print. |
contents |
Frontmatter -- Contents -- Illustrations -- Acknowledgments -- Introduction -- Chapter 1. Newton -- Chapter 2. Leibniz -- Chapter 3. Bernoullis -- Chapter 4. Euler -- Chapter 5. First Interlude -- Chapter 6. Cauchy -- Chapter 7. Riemann -- Chapter 8. Liouville -- Chapter 9. Weierstrass -- Chapter 10. Second Interlude -- Chapter 11. Cantor -- Chapter 12. Volterra -- Chapter 13. Baire -- Chapter 14. Lebesgue -- Afterword -- Notes -- Index |
isbn |
9781400866793 9783110442502 9780691136264 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA303 |
callnumber-sort |
QA 3303.2 D86 42008EB |
url |
https://doi.org/10.1515/9781400866793 https://www.degruyter.com/isbn/9781400866793 https://www.degruyter.com/cover/covers/9781400866793.jpg |
illustrated |
Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
515 - Analysis |
dewey-full |
515 |
dewey-sort |
3515 |
dewey-raw |
515 |
dewey-search |
515 |
doi_str_mv |
10.1515/9781400866793 |
oclc_num |
979630239 |
work_keys_str_mv |
AT dunhamwilliam thecalculusgallerymasterpiecesfromnewtontolebesgue AT dunhamwilliam calculusgallerymasterpiecesfromnewtontolebesgue |
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cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
is_hierarchy_title |
The Calculus Gallery : Masterpieces from Newton to Lebesgue / |
container_title |
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
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