Book Description
No other description available.
Author : DAVID. SPENCER
Publisher :
Page : pages
File Size : 37,77 MB
Release : 2014-12
Category :
ISBN : 9781786325273
No other description available.
Author : David Spencer
Publisher :
Page : 160 pages
File Size : 23,57 MB
Release : 2011
Category : English language
ISBN : 9780230723443
Gateway is an academically-rich five-level course designed to lead teenage students to success in school-leaving and university entrance exams and prepare them for university and the world of work.
Author : David Spencer
Publisher : Macmillan Elt
Page : 167 pages
File Size : 23,10 MB
Release : 2011-12-15
Category : Juvenile Nonfiction
ISBN : 9780230723566
Gateway is an academically rich, multi-level general English course designed to lead teenage students to success in school-leaving/university entrance examinations, and prepare them for university and the world of work.
Author : David Spencer
Publisher : MacMillan
Page : 167 pages
File Size : 25,62 MB
Release : 2012-01-01
Category :
ISBN : 9780230723627
Gateway is an academically rich five-level course designed to lead teenage students to success in school-leaving and university entrance exams and prepare them for university and the world of work.
Author : Lynda Edwards
Publisher : GATEWAY 2ND EDITION
Page : 104 pages
File Size : 46,56 MB
Release : 2015-12-31
Category :
ISBN : 9780230470880
Author : David Spencer
Publisher : GATEWAY 2ND EDITION
Page : 96 pages
File Size : 47,12 MB
Release : 2015-12-31
Category :
ISBN : 9780230470910
Author : Frances Treloar
Publisher : Macmillan Elt
Page : 127 pages
File Size : 23,13 MB
Release : 2012-01-01
Category : Education
ISBN : 9780230723573
Gateway is an academically rich five-level course designed to lead teenage students to success in school-leaving and university entrance exams and prepare them for university and the world of work.
Author : Robert Messer
Publisher : American Mathematical Soc.
Page : 420 pages
File Size : 47,67 MB
Release : 2021-07-12
Category : Education
ISBN : 1470462958
Linear Algebra: Gateway to Mathematics uses linear algebra as a vehicle to introduce students to the inner workings of mathematics. The structures and techniques of mathematics in turn provide an accessible framework to illustrate the powerful and beautiful results about vector spaces and linear transformations. The unifying concepts of linear algebra reveal the analogies among three primary examples: Euclidean spaces, function spaces, and collections of matrices. Students are gently introduced to abstractions of higher mathematics through discussions of the logical structure of proofs, the need to translate terminology into notation, and efficient ways to discover and present proofs. Application of linear algebra and concrete examples tie the abstract concepts to familiar objects from algebra, geometry, calculus, and everyday life. Students will finish a course using this text with an understanding of the basic results of linear algebra and an appreciation of the beauty and utility of mathematics. They will also be fortified with a degree of mathematical maturity required for subsequent courses in abstract algebra, real analysis, and elementary topology. Students who have prior background in dealing with the mechanical operations of vectors and matrices will benefit from seeing this material placed in a more general context.
Author : Gill Holley
Publisher : GATEWAY 2ND EDITION
Page : 96 pages
File Size : 37,76 MB
Release : 2016-03-10
Category :
ISBN : 9780230470972
Author : David Spencer
Publisher :
Page : 5 pages
File Size : 43,30 MB
Release : 2016
Category : English language
ISBN : 9780230473126