The Calculus Gallery : : Masterpieces from Newton to Lebesgue /

The Calculus Gallery : : Masterpieces from Newton to Lebesgue / / William Dunham.

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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
VerfasserIn:
Dunham, William,
MitwirkendeR:
Dunham, William,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2018]
©2019
Year of Publication:2018
Language:English
Series:Princeton Science Library ; 60
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Physical Description:1 online resource (256 p.)
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(OCoLC)1050754035
collection bib_alma
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spelling 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, [2018]
©2019
1 online resource (256 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Princeton Science Library ; 60
Frontmatter -- Contents -- Illustrations -- Acknowledgments -- Preface to the Princeton Science Library Edition -- INTRODUCTION -- CHAPTER 1. Newton -- CHAPTER 2. Leibniz -- CHAPTER 3. The 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 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.
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 01. Dez 2022)
Calculus History.
MATHEMATICS / Calculus. bisacsh
Absolute value.
Addition.
Algebraic number.
Antiderivative.
Arc length.
Augustin-Louis Cauchy.
Baire category theorem.
Bernhard Riemann.
Binomial theorem.
Bounded function.
Calculation.
Central limit theorem.
Characterization (mathematics).
Coefficient.
Complex analysis.
Continuous function (set theory).
Continuous function.
Contradiction.
Convergent series.
Corollary.
Countable set.
Counterexample.
Dense set.
Derivative.
Diagram (category theory).
Dichotomy.
Differentiable function.
Differential calculus.
Differential equation.
Division by zero.
Equation.
Existential quantification.
Fluxion.
Fourier series.
Fundamental theorem.
Geometric progression.
Geometric series.
Geometry.
Georg Cantor.
Gottfried Wilhelm Leibniz.
Harmonic series (mathematics).
Henri Lebesgue.
Infimum and supremum.
Infinitesimal.
Infinity.
Integer.
Integration by parts.
Intermediate value theorem.
Interval (mathematics).
Joseph Fourier.
Karl Weierstrass.
L'Hôpital's rule.
Lebesgue integration.
Lebesgue measure.
Length.
Leonhard Euler.
Limit of a sequence.
Logarithm.
Mathematical analysis.
Mathematician.
Mathematics.
Mean value theorem.
Measurable function.
Natural number.
Notation.
Nowhere continuous function.
Number theory.
Pointwise.
Polynomial.
Power rule.
Princeton University Press.
Q.E.D.
Quadratic.
Quantity.
Rational number.
Real analysis.
Real number.
Rectangle.
Riemann integral.
Root test.
Scientific notation.
Series (mathematics).
Set theory.
Sign (mathematics).
Stone–Weierstrass theorem.
Subset.
Subtangent.
Summation.
Tangent.
Textbook.
Theorem.
Theory.
Transcendental number.
Trigonometric functions.
Uniform continuity.
Uniform convergence.
Unit interval.
Upper and lower bounds.
Vito Volterra.
Westmont College.
Dunham, William, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 English 9783110604252
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 9783110603255 ZDB-23-DGG
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2018 English 9783110604191
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2018 9783110603194 ZDB-23-DMA
print 9780691182858
https://doi.org/10.1515/9780691184548?locatt=mode:legacy
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language English
format eBook
author Dunham, William,
Dunham, William,
spellingShingle Dunham, William,
Dunham, William,
The Calculus Gallery : Masterpieces from Newton to Lebesgue /
Princeton Science Library ;
Frontmatter --
Contents --
Illustrations --
Acknowledgments --
Preface to the Princeton Science Library Edition --
INTRODUCTION --
CHAPTER 1. Newton --
CHAPTER 2. Leibniz --
CHAPTER 3. The 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,
Dunham, William,
Dunham, William,
author_variant w d wd
w d wd
author_role VerfasserIn
VerfasserIn
author2 Dunham, William,
Dunham, William,
author2_variant w d wd
w d wd
author2_role MitwirkendeR
MitwirkendeR
author_sort 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 --
Preface to the Princeton Science Library Edition --
INTRODUCTION --
CHAPTER 1. Newton --
CHAPTER 2. Leibniz --
CHAPTER 3. The 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 /
series Princeton Science Library ;
series2 Princeton Science Library ;
publisher Princeton University Press,
publishDate 2018
physical 1 online resource (256 p.)
contents Frontmatter --
Contents --
Illustrations --
Acknowledgments --
Preface to the Princeton Science Library Edition --
INTRODUCTION --
CHAPTER 1. Newton --
CHAPTER 2. Leibniz --
CHAPTER 3. The 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 9780691184548
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9783110604191
9783110603194
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callnumber-first Q - Science
callnumber-subject QA - Mathematics
callnumber-label QA303
callnumber-sort QA 3303.2
url https://doi.org/10.1515/9780691184548?locatt=mode:legacy
https://www.degruyter.com/isbn/9780691184548
https://www.degruyter.com/document/cover/isbn/9780691184548/original
illustrated Not 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
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Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2018 English
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2018
is_hierarchy_title The Calculus Gallery : Masterpieces from Newton to Lebesgue /
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