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 to 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 Lei...
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| Superior document: | Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 English |
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2018] ©2019 |
| Year of Publication: | 2018 |
| Language: | English |
| Series: | Princeton Science Library ;
60 |
| Online Access: | |
| Physical Description: | 1 online resource (256 p.) |
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| LEADER | 07553nam a22019575i 4500 | ||
|---|---|---|---|
| 001 | 9780691184548 | ||
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| 072 | 7 | |a MAT005000 |2 bisacsh | |
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| 100 | 1 | |a Dunham, William, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 4 | |a The Calculus Gallery : |b Masterpieces from Newton to Lebesgue / |c William Dunham. |
| 264 | 1 | |a Princeton, NJ : |b Princeton University Press, |c [2018] | |
| 264 | 4 | |c ©2019 | |
| 300 | |a 1 online resource (256 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 0 | |a Princeton Science Library ; |v 60 | |
| 505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t Illustrations -- |t Acknowledgments -- |t Preface to the Princeton Science Library Edition -- |t INTRODUCTION -- |t CHAPTER 1. Newton -- |t CHAPTER 2. Leibniz -- |t CHAPTER 3. The Bernoullis -- |t CHAPTER 4. Euler -- |t CHAPTER 5. First Interlude -- |t CHAPTER 6. Cauchy -- |t CHAPTER 7. Riemann -- |t CHAPTER 8. Liouville -- |t CHAPTER 9. Weierstrass -- |t CHAPTER 10. Second Interlude -- |t CHAPTER 11. Cantor -- |t CHAPTER 12. Volterra -- |t CHAPTER 13. Baire -- |t CHAPTER 14. Lebesgue -- |t Afterword -- |t Notes -- |t Index |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway to 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. Now with a new preface by the author, this book documents 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, subtlest problems imaginable. In touring The Calculus Gallery, we can see how it all came to be. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 01. Dez 2022) | |
| 650 | 0 | |a Calculus |x History. | |
| 650 | 7 | |a MATHEMATICS / Calculus. |2 bisacsh | |
| 653 | |a Absolute value. | ||
| 653 | |a Addition. | ||
| 653 | |a Algebraic number. | ||
| 653 | |a Antiderivative. | ||
| 653 | |a Arc length. | ||
| 653 | |a Augustin-Louis Cauchy. | ||
| 653 | |a Baire category theorem. | ||
| 653 | |a Bernhard Riemann. | ||
| 653 | |a Binomial theorem. | ||
| 653 | |a Bounded function. | ||
| 653 | |a Calculation. | ||
| 653 | |a Central limit theorem. | ||
| 653 | |a Characterization (mathematics). | ||
| 653 | |a Coefficient. | ||
| 653 | |a Complex analysis. | ||
| 653 | |a Continuous function (set theory). | ||
| 653 | |a Continuous function. | ||
| 653 | |a Contradiction. | ||
| 653 | |a Convergent series. | ||
| 653 | |a Corollary. | ||
| 653 | |a Countable set. | ||
| 653 | |a Counterexample. | ||
| 653 | |a Dense set. | ||
| 653 | |a Derivative. | ||
| 653 | |a Diagram (category theory). | ||
| 653 | |a Dichotomy. | ||
| 653 | |a Differentiable function. | ||
| 653 | |a Differential calculus. | ||
| 653 | |a Differential equation. | ||
| 653 | |a Division by zero. | ||
| 653 | |a Equation. | ||
| 653 | |a Existential quantification. | ||
| 653 | |a Fluxion. | ||
| 653 | |a Fourier series. | ||
| 653 | |a Fundamental theorem. | ||
| 653 | |a Geometric progression. | ||
| 653 | |a Geometric series. | ||
| 653 | |a Geometry. | ||
| 653 | |a Georg Cantor. | ||
| 653 | |a Gottfried Wilhelm Leibniz. | ||
| 653 | |a Harmonic series (mathematics). | ||
| 653 | |a Henri Lebesgue. | ||
| 653 | |a Infimum and supremum. | ||
| 653 | |a Infinitesimal. | ||
| 653 | |a Infinity. | ||
| 653 | |a Integer. | ||
| 653 | |a Integration by parts. | ||
| 653 | |a Intermediate value theorem. | ||
| 653 | |a Interval (mathematics). | ||
| 653 | |a Joseph Fourier. | ||
| 653 | |a Karl Weierstrass. | ||
| 653 | |a L'Hôpital's rule. | ||
| 653 | |a Lebesgue integration. | ||
| 653 | |a Lebesgue measure. | ||
| 653 | |a Length. | ||
| 653 | |a Leonhard Euler. | ||
| 653 | |a Limit of a sequence. | ||
| 653 | |a Logarithm. | ||
| 653 | |a Mathematical analysis. | ||
| 653 | |a Mathematician. | ||
| 653 | |a Mathematics. | ||
| 653 | |a Mean value theorem. | ||
| 653 | |a Measurable function. | ||
| 653 | |a Natural number. | ||
| 653 | |a Notation. | ||
| 653 | |a Nowhere continuous function. | ||
| 653 | |a Number theory. | ||
| 653 | |a Pointwise. | ||
| 653 | |a Polynomial. | ||
| 653 | |a Power rule. | ||
| 653 | |a Princeton University Press. | ||
| 653 | |a Q.E.D. | ||
| 653 | |a Quadratic. | ||
| 653 | |a Quantity. | ||
| 653 | |a Rational number. | ||
| 653 | |a Real analysis. | ||
| 653 | |a Real number. | ||
| 653 | |a Rectangle. | ||
| 653 | |a Riemann integral. | ||
| 653 | |a Root test. | ||
| 653 | |a Scientific notation. | ||
| 653 | |a Series (mathematics). | ||
| 653 | |a Set theory. | ||
| 653 | |a Sign (mathematics). | ||
| 653 | |a Stone–Weierstrass theorem. | ||
| 653 | |a Subset. | ||
| 653 | |a Subtangent. | ||
| 653 | |a Summation. | ||
| 653 | |a Tangent. | ||
| 653 | |a Textbook. | ||
| 653 | |a Theorem. | ||
| 653 | |a Theory. | ||
| 653 | |a Transcendental number. | ||
| 653 | |a Trigonometric functions. | ||
| 653 | |a Uniform continuity. | ||
| 653 | |a Uniform convergence. | ||
| 653 | |a Unit interval. | ||
| 653 | |a Upper and lower bounds. | ||
| 653 | |a Vito Volterra. | ||
| 653 | |a Westmont College. | ||
| 700 | 1 | |a Dunham, William, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE COMPLETE 2018 English |z 9783110604252 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE COMPLETE 2018 |z 9783110603255 |o ZDB-23-DGG |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2018 English |z 9783110604191 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2018 |z 9783110603194 |o ZDB-23-DMA |
| 776 | 0 | |c print |z 9780691182858 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9780691184548?locatt=mode:legacy |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9780691184548 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9780691184548/original |
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| 912 | |a 978-3-11-060425-2 EBOOK PACKAGE COMPLETE 2018 English |b 2018 | ||
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