## The new encyclopaedia Britannica: in 32 vol. Macropaedia, Accounting - Architecture, Volume 13 |

### From inside the book

Results 1-3 of 43

Page 263

Linear algebra is concerned primarily with finite-dimensional

Although many of the theorems of linear algebra can be generalized to infinite-

dimensional spaces, in order to do so it is usually necessary to introduce a

topology ...

Linear algebra is concerned primarily with finite-dimensional

**vector spaces**.Although many of the theorems of linear algebra can be generalized to infinite-

dimensional spaces, in order to do so it is usually necessary to introduce a

topology ...

Page 267

spaces over 3, and if t is a bilinear mapping from U, X U2 into '21, then the pair (

31, x) is a tensor product of the

a from U, X U2 into 3, there exists a unique linear transformation <p from "21 into

...

spaces over 3, and if t is a bilinear mapping from U, X U2 into '21, then the pair (

31, x) is a tensor product of the

**vector spaces**U,, U2, if for every bilinear mappinga from U, X U2 into 3, there exists a unique linear transformation <p from "21 into

...

Page 456

a similar sense from the

numbers between 0 and n. Therefore, the real numbers are needed for such

computations; for simplicity the scalar field can be chosen to be the complex

numbers (£ ...

a similar sense from the

**space**of all ordered pairs of**vectors**into the realnumbers between 0 and n. Therefore, the real numbers are needed for such

computations; for simplicity the scalar field can be chosen to be the complex

numbers (£ ...

### What people are saying - Write a review

#### The New Encyclopaedia Britannica (Encyclopaedia)

User Review - Not Available - Book VerdictFor virtually all its 238 years,Britannica has ruled the shelves as a peerless general encyclopedia. Reviewers have consistently given it high marks for most of the 12 criteria identified inKister's ... Read full review

### Other editions - View all

### Common terms and phrases

20th century Abelian group addition Afghanistan agriculture Albania alcohol algae algebra animals basin called central centre ceremonial climate coast common complex numbers Congo contains Cote d'lvoire countries crops cultivation culture dance defined desert developed drinking drug East eastern economic Egypt elements equations European example farming feet field Figure finite fish forest function functor important Indians integers irrigation isomorphism Kabul Kalahari Kenya Lake Lake Chad Lake Victoria land languages lattice Lie algebra linear major mapping miles modern mountains multiplication Niger Nigeria Nile northern operations patterns percent period Plains plants Plateau polynomial population problem rainfall real numbers region ring ritual River Sahara savanna social soil South Africa southern Africa species structure subgroup Sudan Tanzania theory tion traditional tribes tropical United valley vector space vegetation village West Africa western Yoruba Zaire Zimbabwe