A Historian Looks Back: The Calculus as Algebra and Selected by Judith V. Grabiner

By Judith V. Grabiner

Judith Grabiner, the writer of A Historian appears to be like Back, has lengthy been attracted to investigating what mathematicians truly do, and the way arithmetic really has built. She addresses the result of her investigations now not mostly to different historians, yet to mathematicians and lecturers of arithmetic. This ebook brings jointly a lot of what she has needed to say to this viewers.

The centerpiece of the booklet is The Calculus as Algebra: J.-L. Lagrange, 1736-1813. The booklet describes the achievements, setbacks, and effect of Lagrange s pioneering try to decrease the calculus to algebra. 9 extra articles around out the publication describing the historical past of the spinoff; the starting place of delta-epsilon proofs; Descartes and challenge fixing; the distinction among the calculus of Newton and Maclaurin, and that of Lagrange; Maclaurin s approach of doing arithmetic and technology and his unusually very important impression; a few commonly held myths concerning the heritage of arithmetic; Lagrange s try and end up Euclid s parallel postulate; and the valuable function that arithmetic has performed during the background of western civilization.

The improvement of arithmetic can't be programmed or anticipated. nonetheless, seeing how rules were shaped over the years and what the problems have been will help lecturers locate new how you can clarify arithmetic. Appreciating its cultural history can humanize arithmetic for college kids. And recognized mathematicians struggles and successes may still curiosity -- and maybe motivate -- researchers. Readers will see not just what the mathematical previous used to be like, but in addition how very important elements of the mathematical current got here to be.

Show description

Read Online or Download A Historian Looks Back: The Calculus as Algebra and Selected Writings PDF

Best science & mathematics books

M-Structure and the Banach-Stone Theorem

Publication by way of Behrends, E.

Handbook of Hilbert Geometry

This quantity provides surveys, written by means of specialists within the box, on a number of classical and sleek elements of Hilbert geometry. They imagine a number of issues of view: Finsler geometry, calculus of diversifications, projective geometry, dynamical structures, and others. a few fruitful family among Hilbert geometry and different matters in arithmetic are emphasised, together with Teichmüller areas, convexity conception, Perron-Frobenius concept, illustration thought, partial differential equations, coarse geometry, ergodic idea, algebraic teams, Coxeter teams, geometric workforce idea, Lie teams and discrete crew activities.

Extra info for A Historian Looks Back: The Calculus as Algebra and Selected Writings

Sample text

Ppg=50 Copyright © Mathematical Association of America. All rights reserved. S. or applicable copyright law. Grabiner, Judith V.. Spectrum : Historian Looks Back : The Calculus as Algebra and Selected Writings. : Mathematical Association of America, . ppg=51 Copyright © Mathematical Association of America. All rights reserved. S. or applicable copyright law. Grabiner, Judith V.. Spectrum : Historian Looks Back : The Calculus as Algebra and Selected Writings. : Mathematical Association of America, .

Grabiner, Judith V.. Spectrum : Historian Looks Back : The Calculus as Algebra and Selected Writings. : Mathematical Association of America, . ppg=36 Copyright © Mathematical Association of America. All rights reserved. S. or applicable copyright law. Grabiner, Judith V.. Spectrum : Historian Looks Back : The Calculus as Algebra and Selected Writings. : Mathematical Association of America, . ppg=37 Copyright © Mathematical Association of America. All rights reserved. S. or applicable copyright law.

S. or applicable copyright law. Grabiner, Judith V.. Spectrum : Historian Looks Back : The Calculus as Algebra and Selected Writings. : Mathematical Association of America, . ppg=64 Copyright © Mathematical Association of America. All rights reserved. S. or applicable copyright law. Grabiner, Judith V.. Spectrum : Historian Looks Back : The Calculus as Algebra and Selected Writings. : Mathematical Association of America, . ppg=65 Copyright © Mathematical Association of America. All rights reserved.

Download PDF sample

Rated 4.02 of 5 – based on 37 votes