Celebrating 18 Years on the Web
TODAY IN SCIENCE HISTORY ®
Find science on or your birthday

Today in Science History - Quickie Quiz
Who said: “A people without children would face a hopeless future; a country without trees is almost as helpless.”
more quiz questions >>
Home > Category Index for Science Quotations > Category Index D > Category: Differential Calculus

Differential Calculus Quotes (8 quotes)

But how is one to make a scientist understand that there is something unalterably deranged about differential calculus, quantum theory, or the obscene and so inanely liturgical ordeals of the precession of the equinoxes.
…...
Science quotes on:  |  Deranged (2)  |  Equinox (4)  |  Obscene (3)  |  Precession (2)  |  Quantum Theory (57)  |  Scientist (519)  |  Understand (326)

I’m very good at integral and differential calculus,
I know the scientific names of beings animalculous:
In short, in matters vegetable, animal, and mineral,
I am the very model of a modern Major-General.
In The Pirates of Penzance (1879), Act 1.
Science quotes on:  |  Animal (356)  |  Good (345)  |  Integral Calculus (4)  |  Know (547)  |  Matter (340)  |  Mineral (41)  |  Model (80)  |  Modern (159)  |  Name (165)  |  Scientific (232)  |  Vegetable (22)

Like almost every subject of human interest, this one [mathematics] is just as easy or as difficult as we choose to make it. A lifetime may be spent by a philosopher in discussing the truth of the simplest axiom. The simplest fact as to our existence may fill us with such wonder that our minds will remain overwhelmed with wonder all the time. A Scotch ploughman makes a working religion out of a system which appalls a mental philosopher. Some boys of ten years of age study the methods of the differential calculus; other much cleverer boys working at mathematics to the age of nineteen have a difficulty in comprehending the fundamental ideas of the calculus.
In Teaching of Mathematics (1902), 19-20.
Science quotes on:  |  Age (174)  |  All The Time (3)  |  Appall (2)  |  Axiom (52)  |  Boy (46)  |  Calculus (48)  |  Choose (59)  |  Clever (18)  |  Comprehend (39)  |  Difficult (116)  |  Difficulty (144)  |  Discuss (22)  |  Easy (98)  |  Existence (296)  |  Fact (725)  |  Fill (61)  |  Fundamental (158)  |  Human (548)  |  Idea (577)  |  Interest (235)  |  Lifetime (28)  |  Mathematics (1149)  |  Mental (78)  |  Method (230)  |  Mind (743)  |  Overwhelm (5)  |  Philosopher (164)  |  Ploughman (3)  |  Religion (239)  |  Remain (111)  |  Simple (172)  |  Spend (43)  |  Study (461)  |  Subject (235)  |  System (191)  |  Teaching of Mathematics (31)  |  Truth (914)  |  Wonder (169)  |  Work (626)  |  Year (299)

Nothing has afforded me so convincing a proof of the unity of the Deity as these purely mental conceptions of numerical and mathematical science which have been by slow degrees vouchsafed to man, and are still granted in these latter times by the Differential Calculus, now superseded by the Higher Algebra, all of which must have existed in that sublimely omniscient Mind from eternity.
Martha Somerville (ed.) Personal Recollections, from Early Life to Old Age, of Mary Somerville (1874), 140-141.
Science quotes on:  |  Algebra (92)  |  Conception (88)  |  Convince (23)  |  Deity (17)  |  Eternity (49)  |  Grant (32)  |  Mathematics (1149)  |  Mental (78)  |  Mind (743)  |  Nothing (385)  |  Numerical (13)  |  Omniscient (5)  |  Proof (243)  |  Science (2043)  |  Sublime (27)  |  Supersede (7)  |  Unity (53)  |  Vouchsafe (2)

On Tuesday evening at Museum, at a ball in the gardens. The night was chill, I dropped too suddenly from Differential Calculus into ladies’ society, and could not give myself freely to the change. After an hour’s attempt so to do, I returned, cursing the mode of life I was pursuing; next morning I had already shaken hands, however, with Diff. Calculus, and forgot the ladies….
From his diary for 10 Aug 1851, as quoted in J. Helen Gardner and Robin J. Wilson, 'Thomas Archer Hirst—Mathematician Xtravagant II: Student Days in Germany', The American Mathematical Monthly (Jun-Jul 1993), 6, No. 100, 534.
Science quotes on:  |  Already (28)  |  Attempt (121)  |  Ball (31)  |  Change (363)  |  Chill (9)  |  Drop (39)  |  Forget (63)  |  Garden (33)  |  Hand (141)  |  Hour (71)  |  Lady (11)  |  Life (1124)  |  Mode (40)  |  Morning (43)  |  Museum (24)  |  Next (35)  |  Night (117)  |  Pursue (21)  |  Return (55)  |  Shake (29)  |  Society (227)  |  Sudden (32)

Science is the Differential Calculus of the mind. Art the Integral Calculus; they may be beautiful when apart, but are greatest only when combined.
Quoted in The Complete Poems of Hugh MacDiarmid 1920-76 (1978), Vol. 2, 1360.
Science quotes on:  |  Apart (7)  |  Beauty (239)  |  Combination (91)  |  Greatest (62)  |  Integral Calculus (4)  |  Mind (743)  |  Science And Art (181)

That mathematics “do not cultivate the power of generalization,”; … will be admitted by no person of competent knowledge, except in a very qualified sense. The generalizations of mathematics, are, no doubt, a different thing from the generalizations of physical science; but in the difficulty of seizing them, and the mental tension they require, they are no contemptible preparation for the most arduous efforts of the scientific mind. Even the fundamental notions of the higher mathematics, from those of the differential calculus upwards are products of a very high abstraction. … To perceive the mathematical laws common to the results of many mathematical operations, even in so simple a case as that of the binomial theorem, involves a vigorous exercise of the same faculty which gave us Kepler’s laws, and rose through those laws to the theory of universal gravitation. Every process of what has been called Universal Geometry—the great creation of Descartes and his successors, in which a single train of reasoning solves whole classes of problems at once, and others common to large groups of them—is a practical lesson in the management of wide generalizations, and abstraction of the points of agreement from those of difference among objects of great and confusing diversity, to which the purely inductive sciences cannot furnish many superior. Even so elementary an operation as that of abstracting from the particular configuration of the triangles or other figures, and the relative situation of the particular lines or points, in the diagram which aids the apprehension of a common geometrical demonstration, is a very useful, and far from being always an easy, exercise of the faculty of generalization so strangely imagined to have no place or part in the processes of mathematics.
In An Examination of Sir William Hamilton’s Philosophy (1878), 612-13.
Science quotes on:  |  Abstract (79)  |  Abstraction (38)  |  Admit (44)  |  Agreement (39)  |  Aid (41)  |  Apprehension (15)  |  Arduous (3)  |  Binomial Theorem (3)  |  Call (127)  |  Case (98)  |  Class (83)  |  Common (118)  |  Competent (18)  |  Configuration (7)  |  Confuse (18)  |  Contemptible (8)  |  Creation (239)  |  Cultivate (19)  |  Demonstration (81)  |  Renι Descartes (81)  |  Diagram (13)  |  Difference (246)  |  Different (178)  |  Difficulty (144)  |  Diversity (51)  |  Doubt (159)  |  Easy (98)  |  Effort (143)  |  Elementary (45)  |  Exercise (64)  |  Faculty (65)  |  Far (154)  |  Figure (68)  |  Fundamental (158)  |  Furnish (40)  |  Generalization (41)  |  Geometrical (10)  |  Geometry (215)  |  Give (200)  |  Gravitation (38)  |  Great (524)  |  Group (72)  |  High (152)  |  Higher Mathematics (6)  |  Imagine (74)  |  Inductive (10)  |  Involve (47)  |  Johannes Kepler (90)  |  Knowledge (1293)  |  Large (130)  |  Law (513)  |  Lesson (41)  |  Line (89)  |  Management (12)  |  Mathematics (1149)  |  Mental (78)  |  Nature Of Mathematics (77)  |  Notion (57)  |  Object (169)  |  Operation (118)  |  Part (220)  |  Particular (75)  |  Perceive (40)  |  Person (153)  |  Physical Science (65)  |  Place (174)  |  Point (122)  |  Power (358)  |  Practical (129)  |  Preparation (41)  |  Problem (490)  |  Process (261)  |  Product (82)  |  Purely (28)  |  Qualify (4)  |  Reason (454)  |  Relative (39)  |  Require (79)  |  Result (376)  |  Rise (70)  |  Same (155)  |  Science (2043)  |  Scientific Mind (5)  |  Seize (14)  |  Sense (315)  |  Simple (172)  |  Single (119)  |  Situation (52)  |  Solve (76)  |  Strangely (5)  |  Successor (9)  |  Superior (40)  |  Tension (9)  |  Theory (690)  |  Train (45)  |  Triangle (10)  |  Universal (100)  |  Upwards (6)  |  Useful (98)  |  Vigorous (20)  |  Whole (189)  |  Wide (27)

The invention of the differential calculus marks a crisis in the history of mathematics. The progress of science is divided between periods characterized by a slow accumulation of ideas and periods, when, owing to the new material for thought thus patiently collected, some genius by the invention of a new method or a new point of view, suddenly transforms the whole subject on to a higher level.
In An Introduction to Mathematics (1911), 217. Whitehead continued by quoting the poet, Percy Shelley, who compared the slow accumulation of thoughts leading to an avalanche following the laying down of a great truth. See the poetic quote beginning, “The sun-awakened avalanche…” on the Percy Shelley Quotations page.
Science quotes on:  |  Accumulation (30)  |  Characterize (17)  |  Collect (16)  |  Crisis (19)  |  Divide (40)  |  Genius (243)  |  Higher Level (3)  |  History Of Mathematics (7)  |  Idea (577)  |  Invention (318)  |  Material (154)  |  Method (230)  |  New (483)  |  Patient (125)  |  Period (64)  |  Point Of View (41)  |  Progress Of Science (28)  |  Slow (55)  |  Subject (235)  |  Sudden (32)  |  Thought (536)  |  Transform (35)


Carl Sagan Thumbnail In science it often happens that scientists say, 'You know that's a really good argument; my position is mistaken,' and then they would actually change their minds and you never hear that old view from them again. They really do it. It doesn't happen as often as it should, because scientists are human and change is sometimes painful. But it happens every day. I cannot recall the last time something like that happened in politics or religion. (1987) -- Carl Sagan
Quotations by: • Albert Einstein • Isaac Newton • Lord Kelvin • Charles Darwin • Srinivasa Ramanujan • Carl Sagan • Florence Nightingale • Thomas Edison • Aristotle • Marie Curie • Benjamin Franklin • Winston Churchill • Galileo Galilei • Sigmund Freud • Robert Bunsen • Louis Pasteur • Theodore Roosevelt • Abraham Lincoln • Ronald Reagan • Leonardo DaVinci • Michio Kaku • Karl Popper • Johann Goethe • Robert Oppenheimer • Charles Kettering  ... (more people)

Quotations about: • Atomic  Bomb • Biology • Chemistry • Deforestation • Engineering • Anatomy • Astronomy • Bacteria • Biochemistry • Botany • Conservation • Dinosaur • Environment • Fractal • Genetics • Geology • History of Science • Invention • Jupiter • Knowledge • Love • Mathematics • Measurement • Medicine • Natural Resource • Organic Chemistry • Physics • Physician • Quantum Theory • Research • Science and Art • Teacher • Technology • Universe • Volcano • Virus • Wind Power • Women Scientists • X-Rays • Youth • Zoology  ... (more topics)
Sitewide search within all Today In Science History pages:
Visit our Science and Scientist Quotations index for more Science Quotes from archaeologists, biologists, chemists, geologists, inventors and inventions, mathematicians, physicists, pioneers in medicine, science events and technology.

Names index: | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z |

Categories index: | 1 | 2 | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z |

- 100 -
Sophie Germain
Gertrude Elion
Ernest Rutherford
James Chadwick
Marcel Proust
William Harvey
Johann Goethe
John Keynes
Carl Gauss
Paul Feyerabend
- 90 -
Antoine Lavoisier
Lise Meitner
Charles Babbage
Ibn Khaldun
Euclid
Ralph Emerson
Robert Bunsen
Frederick Banting
Andre Ampere
Winston Churchill
- 80 -
John Locke
Bronislaw Malinowski
Bible
Thomas Huxley
Alessandro Volta
Erwin Schrodinger
Wilhelm Roentgen
Louis Pasteur
Bertrand Russell
Jean Lamarck
- 70 -
Samuel Morse
John Wheeler
Nicolaus Copernicus
Robert Fulton
Pierre Laplace
Humphry Davy
Thomas Edison
Lord Kelvin
Theodore Roosevelt
Carolus Linnaeus
- 60 -
Francis Galton
Linus Pauling
Immanuel Kant
Martin Fischer
Robert Boyle
Karl Popper
Paul Dirac
Avicenna
James Watson
William Shakespeare
- 50 -
Stephen Hawking
Niels Bohr
Nikola Tesla
Rachel Carson
Max Planck
Henry Adams
Richard Dawkins
Werner Heisenberg
Alfred Wegener
John Dalton
- 40 -
Pierre Fermat
Edward Wilson
Johannes Kepler
Gustave Eiffel
Giordano Bruno
JJ Thomson
Thomas Kuhn
Leonardo DaVinci
Archimedes
David Hume
- 30 -
Andreas Vesalius
Rudolf Virchow
Richard Feynman
James Hutton
Alexander Fleming
Emile Durkheim
Benjamin Franklin
Robert Oppenheimer
Robert Hooke
Charles Kettering
- 20 -
Carl Sagan
James Maxwell
Marie Curie
Rene Descartes
Francis Crick
Hippocrates
Michael Faraday
Srinivasa Ramanujan
Francis Bacon
Galileo Galilei
- 10 -
Aristotle
John Watson
Rosalind Franklin
Michio Kaku
Isaac Asimov
Charles Darwin
Sigmund Freud
Albert Einstein
Florence Nightingale
Isaac Newton



who invites your feedback
Thank you for sharing.
Today in Science History
Sign up for Newsletter
with quiz, quotes and more.