Complete Arithmetic
Author : George Wentworth
Publisher :
Page : 288 pages
File Size : 14,77 MB
Release : 1909
Category : Arithmetic
ISBN :
Author : George Wentworth
Publisher :
Page : 288 pages
File Size : 14,77 MB
Release : 1909
Category : Arithmetic
ISBN :
Author : Christopher James Phillips
Publisher : University of Chicago Press
Page : 242 pages
File Size : 19,27 MB
Release : 2015
Category : Education
ISBN : 022618496X
An era of sweeping cultural change in America, the postwar years saw the rise of beatniks and hippies, the birth of feminism, and the release of the first video game. This book examines the rise and fall of the new math as a marker of the period's political and social ferment.
Author : G. Arnell Williams
Publisher : Rowman & Littlefield Publishers
Page : 347 pages
File Size : 23,51 MB
Release : 2013-04-04
Category : Education
ISBN : 1442218762
We hear all the time how American children are falling behind their global peers in various basic subjects, but particularly in math. Is it our fear of math that constrains us? Or our inability to understand math’s place in relation to our everyday lives? How can we help our children better understand the basics of arithmetic if we’re not really sure we understand them ourselves? Here, G. Arnell Williams helps parents and teachers explore the world of math that their elementary school children are learning. Taking readers on a tour of the history of arithmetic, and its growth into the subject we know it to be today, Williams explores the beauty and relevance of mathematics by focusing on the great conceptual depth and genius already inherent in the elementary mathematics familiar to us all, and by connecting it to other well-known areas such as language and the conceptual aspects of everyday life. The result is a book that will help you to better explain mathematics to your children. For those already well versed in these areas, the book offers a tour of the great conceptual and historical facts and assumptions that most simply take for granted. If you are someone who has always struggled with mathematics either because you couldn’t do it or because you never really understood why the rules are the way they are, if you were irritated with the way it was taught to you with the emphasis being only on learning the rules and “recipes” by rote as opposed to obtaining a good conceptual understanding, then How Math Works is for you!
Author : Paul Lockhart
Publisher : Belknap Press
Page : 232 pages
File Size : 21,38 MB
Release : 2019-07-15
Category : Mathematics
ISBN : 067423751X
“Inspiring and informative...deserves to be widely read.” —Wall Street Journal “This fun book offers a philosophical take on number systems and revels in the beauty of math.” —Science News Because we have ten fingers, grouping by ten seems natural, but twelve would be better for divisibility, and eight is well suited to repeated halving. Grouping by two, as in binary code, has turned out to have its own remarkable advantages. Paul Lockhart presents arithmetic not as rote manipulation of numbers—a practical if mundane branch of knowledge best suited for filling out tax forms—but as a fascinating, sometimes surprising intellectual craft that arises from our desire to add, divide, and multiply important things. Passionate and entertaining, Arithmetic invites us to experience the beauty of mathematics through the eyes of a beguiling teacher. “A nuanced understanding of working with numbers, gently connecting procedures that we once learned by rote with intuitions long since muddled by education...Lockhart presents arithmetic as a pleasurable pastime, and describes it as a craft like knitting.” —Jonathon Keats, New Scientist “What are numbers, how did they arise, why did our ancestors invent them, and how did they represent them? They are, after all, one of humankind’s most brilliant inventions, arguably having greater impact on our lives than the wheel. Lockhart recounts their fascinating story...A wonderful book.” —Keith Devlin, author of Finding Fibonacci
Author : J-P. Serre
Publisher : Springer Science & Business Media
Page : 126 pages
File Size : 36,93 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1468498843
This book is divided into two parts. The first one is purely algebraic. Its objective is the classification of quadratic forms over the field of rational numbers (Hasse-Minkowski theorem). It is achieved in Chapter IV. The first three chapters contain some preliminaries: quadratic reciprocity law, p-adic fields, Hilbert symbols. Chapter V applies the preceding results to integral quadratic forms of discriminant ± I. These forms occur in various questions: modular functions, differential topology, finite groups. The second part (Chapters VI and VII) uses "analytic" methods (holomor phic functions). Chapter VI gives the proof of the "theorem on arithmetic progressions" due to Dirichlet; this theorem is used at a critical point in the first part (Chapter Ill, no. 2.2). Chapter VII deals with modular forms, and in particular, with theta functions. Some of the quadratic forms of Chapter V reappear here. The two parts correspond to lectures given in 1962 and 1964 to second year students at the Ecole Normale Superieure. A redaction of these lectures in the form of duplicated notes, was made by J.-J. Sansuc (Chapters I-IV) and J.-P. Ramis and G. Ruget (Chapters VI-VII). They were very useful to me; I extend here my gratitude to their authors.
Author : Rosanne Proga
Publisher :
Page : pages
File Size : 29,26 MB
Release : 1994
Category : Algebra
ISBN :
Author : Andrew H. Baker
Publisher :
Page : 204 pages
File Size : 16,62 MB
Release : 1878
Category : Arithmetic
ISBN :
Author : Nicholas PIKE (A.M.)
Publisher :
Page : 376 pages
File Size : 35,21 MB
Release : 1798
Category :
ISBN :
Author : Joseph Ray
Publisher :
Page : 402 pages
File Size : 24,53 MB
Release : 1877
Category : Arithmetic
ISBN :
Author : Thomas A. Garrity
Publisher : 清华大学出版社有限公司
Page : 380 pages
File Size : 15,97 MB
Release : 2004
Category : Mathematics
ISBN : 9787302090854