The Calculus Gallery (eBook)

Masterpieces from Newton to Lebesgue

William Dunham (Autor)

eBook Download: EPUB

2018
256 Seiten
Princeton University Press (Verlag)
978-0-691-18454-8 (ISBN)

Infos

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.

Autor

William Dunham is a Research Associate in Mathematics at Bryn Mawr College. He is the author of Journey Through Genius: The Great Theorems of Mathematics, The Mathematical Universe, and Euler: The Master of Us All, and is a co-editor (along with Jerry Alexanderson and Don Albers) of The G.H. Hardy Reader. He received the Mathematical Association of America's George Polya, Trevor Evans, and Lester R. Ford awards, as well as its Beckenbach Prize for expository writing.

Produkt-Details

• Erscheint lt. Verlag: 13.11.2018
• Reihe/Serie: Princeton Science Library
• Reihe/Serie: Princeton Science Library
• Vorwort: William Dunham
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik
• Schlagworte: 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 • Continuous function (set theory) • 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 • Lebesgue integration • Lebesgue measure • length • Leonhard Euler • L'Hôpital's rule • 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
• ISBN-10: 0-691-18454-2 / 0691184542
• ISBN-13: 978-0-691-18454-8 / 9780691184548