Distributivity : Mathematics, Abstract Algebra, Binary Operation, Addition, Multiplication, Real Number, Universal Quantification, Set (Mathematics)

Frederic P. Miller

ISBN 10: 6134101060 / ISBN 13: 9786134101066

Published by Omniscriptum, 2010

About this Item

nach der Bestellung gedruckt Neuware - Printed after ordering.

Seller Inventory # 9786134101066

Bibliographic Details

• Title: Distributivity : Mathematics, Abstract Algebra, Binary Operation, Addition, Multiplication, Real Number, Universal Quantification, Set (Mathematics)
• Publisher: Omniscriptum
• Publication Date: 2010
• Language: English
• ISBN 10: 6134101060
• ISBN 13: 9786134101066
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 10D millimeters 220 millimeters width by 150 millimeters height by 10 millimeters depth
• Weight: 262 grams

About this title

Synopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, and in particular in abstract algebra, distributivity is a property of binary operations that generalises the distributive law from elementary algebra. For example: 2 × (1 + 3) = (2 × 1) + (2 × 3). In the left-hand side of the above equation, the 2 multiplies the sum of 1 and 3; on the right-hand side, it multiplies the 1 and the 3 individually, with the results added afterwards. Because these give the same final answer (8), we say that multiplication by 2 distributes over addition of 1 and 3. Since we could have put any real numbers in place of 2, 1, and 3 above, and still have obtained a true equation, we say that multiplication of real numbers distributes over addition of real numbers. Multiplication of numbers is distributive over addition of numbers, for a broad class of different kinds of numbers ranging from natural numbers to complex numbers and cardinal numbers.