The Mathematical Theory of Information (The Springer International Series in Engineering and Computer Science)

4.5 avg rating
( 2 ratings by Goodreads )
 
9781402070648: The Mathematical Theory of Information (The Springer International Series in Engineering and Computer Science)

The general concept of information is here, for the first time, defined mathematically by adding one single axiom to the probability theory. This Mathematical Theory of Information is explored in fourteen chapters: 1. Information can be measured in different units, in anything from bits to dollars. We will here argue that any measure is acceptable if it does not violate the Law of Diminishing Information. This law is supported by two independent arguments: one derived from the Bar-Hillel ideal receiver, the other is based on Shannon's noisy channel. The entropy in the 'classical information theory' is one of the measures conforming to the Law of Diminishing Information, but it has, however, properties such as being symmetric, which makes it unsuitable for some applications. The measure reliability is found to be a universal information measure. 2. For discrete and finite signals, the Law of Diminishing Information is defined mathematically, using probability theory and matrix algebra. 3. The Law of Diminishing Information is used as an axiom to derive essential properties of information. Byron's law: there is more information in a lie than in gibberish. Preservation: no information is lost in a reversible channel. Etc. The Mathematical Theory of Information supports colligation, i. e. the property to bind facts together making 'two plus two greater than four'. Colligation is a must when the information carries knowledge, or is a base for decisions. In such cases, reliability is always a useful information measure. Entropy does not allow colligation.

"synopsis" may belong to another edition of this title.

Top Search Results from the AbeBooks Marketplace

1.

Jan Kåhre
Published by Springer (2002)
ISBN 10: 1402070640 ISBN 13: 9781402070648
New Hardcover Quantity Available: 1
Seller:
Irish Booksellers
(Rumford, ME, U.S.A.)
Rating
[?]

Book Description Springer, 2002. Hardcover. Book Condition: New. book. Bookseller Inventory # M1402070640

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 62.18
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

2.

KÃ¥hre, Jan
Published by Springer (2016)
ISBN 10: 1402070640 ISBN 13: 9781402070648
New Paperback Quantity Available: 1
Print on Demand
Seller:
Ria Christie Collections
(Uxbridge, United Kingdom)
Rating
[?]

Book Description Springer, 2016. Paperback. Book Condition: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Bookseller Inventory # ria9781402070648_lsuk

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 78.75
Convert Currency

Add to Basket

Shipping: US$ 5.12
From United Kingdom to U.S.A.
Destination, Rates & Speeds

3.

JAN KǾHRE
Published by Springer (2002)
ISBN 10: 1402070640 ISBN 13: 9781402070648
New Hardcover Quantity Available: 1
Seller:
Herb Tandree Philosophy Books
(Stroud, GLOS, United Kingdom)
Rating
[?]

Book Description Springer, 2002. Hardback. Book Condition: NEW. 9781402070648 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Bookseller Inventory # HTANDREE0291805

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 73.42
Convert Currency

Add to Basket

Shipping: US$ 10.56
From United Kingdom to U.S.A.
Destination, Rates & Speeds

4.

Kåhre, Jan
Published by Springer (2017)
ISBN 10: 1402070640 ISBN 13: 9781402070648
New Hardcover Quantity Available: 2
Print on Demand
Seller:
Murray Media
(North Miami Beach, FL, U.S.A.)
Rating
[?]

Book Description Springer, 2017. Hardcover. Book Condition: New. Never used! This item is printed on demand. Bookseller Inventory # P111402070640

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 83.78
Convert Currency

Add to Basket

Shipping: US$ 1.99
Within U.S.A.
Destination, Rates & Speeds

5.

Jan Kahre
Published by Kluwer Academic Publishers (2002)
ISBN 10: 1402070640 ISBN 13: 9781402070648
New Quantity Available: > 20
Print on Demand
Seller:
Pbshop
(Wood Dale, IL, U.S.A.)
Rating
[?]

Book Description Kluwer Academic Publishers, 2002. HRD. Book Condition: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Bookseller Inventory # IP-9781402070648

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 88.67
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

6.

Jan Kåhre
Published by Springer-Verlag New York Inc., United States (2002)
ISBN 10: 1402070640 ISBN 13: 9781402070648
New Hardcover Quantity Available: 10
Seller:
Book Depository hard to find
(London, United Kingdom)
Rating
[?]

Book Description Springer-Verlag New York Inc., United States, 2002. Hardback. Book Condition: New. 2002 ed.. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. The general concept of information is here, for the first time, defined mathematically by adding one single axiom to the probability theory. This Mathematical Theory of Information is explored in fourteen chapters: 1. Information can be measured in different units, in anything from bits to dollars. We will here argue that any measure is acceptable if it does not violate the Law of Diminishing Information. This law is supported by two independent arguments: one derived from the Bar-Hillel ideal receiver, the other is based on Shannon s noisy channel. The entropy in the classical information theory is one of the measures conforming to the Law of Diminishing Information, but it has, however, properties such as being symmetric, which makes it unsuitable for some applications. The measure reliability is found to be a universal information measure. 2. For discrete and finite signals, the Law of Diminishing Information is defined mathematically, using probability theory and matrix algebra. 3. The Law of Diminishing Information is used as an axiom to derive essential properties of information. Byron s law: there is more information in a lie than in gibberish. Preservation: no information is lost in a reversible channel. Etc. The Mathematical Theory of Information supports colligation, i. e. the property to bind facts together making two plus two greater than four . Colligation is a must when the information carries knowledge, or is a base for decisions. In such cases, reliability is always a useful information measure. Entropy does not allow colligation. Bookseller Inventory # LIE9781402070648

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 94.09
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

7.

Jan Kahre
Published by Kluwer Academic Publishers (2002)
ISBN 10: 1402070640 ISBN 13: 9781402070648
New Quantity Available: > 20
Print on Demand
Seller:
Books2Anywhere
(Fairford, GLOS, United Kingdom)
Rating
[?]

Book Description Kluwer Academic Publishers, 2002. HRD. Book Condition: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Bookseller Inventory # IP-9781402070648

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 93.85
Convert Currency

Add to Basket

Shipping: US$ 11.88
From United Kingdom to U.S.A.
Destination, Rates & Speeds

8.

Jan Kåhre
Published by Springer (2002)
ISBN 10: 1402070640 ISBN 13: 9781402070648
New Hardcover Quantity Available: 15
Print on Demand
Seller:
Rating
[?]

Book Description Springer, 2002. Book Condition: New. This item is printed on demand for shipment within 3 working days. Bookseller Inventory # LP9781402070648

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 105.98
Convert Currency

Add to Basket

Shipping: US$ 3.52
From Germany to U.S.A.
Destination, Rates & Speeds

9.

Jan KÃ¥hre
Published by Springer
ISBN 10: 1402070640 ISBN 13: 9781402070648
New Hardcover Quantity Available: > 20
Seller:
BuySomeBooks
(Las Vegas, NV, U.S.A.)
Rating
[?]

Book Description Springer. Hardcover. Book Condition: New. Hardcover. 502 pages. Dimensions: 9.3in. x 6.4in. x 1.5in.The Mathematical Theory of Information presents a new mathematical theory of information, built on a single powerful postulate: the Law of Diminishing Information. The concept of information is here, for the first time, defined mathematically by adding this postulate to the axioms of the probability theory. The Law of Diminishing Information is founded on a fusion of two fundamental ideas: Carnap and Bar-Hillels Ideal Receiver and Shannons Noisy Channel. The Law of Diminishing Information is applied to information technology, game theory, legislation, logic of research, algorithmic information, chaos theory, control engineering, medical tests, and biological evolution. In physics, both the Second Law of Thermodynamics and Schrdingers wave function are derived from the Law of Diminishing Information. Conventional information theory, that of telecommunications, is analyzed as a special case, and eight conditions for its applicability are listed. The reader will get the essential ideas to understand and use the concept of information. The Mathematical Theory of Information is suitable as a textbook in general information theory for students of technical, scientific, and mathematical subjects. The book is ideal as a supplementary textbook in traditional courses on telecommunications information theory at all levels. The website of the book is www. matheory. info. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Hardcover. Bookseller Inventory # 9781402070648

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 114.51
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

10.

K?hre, Jan
Published by Springer (2002)
ISBN 10: 1402070640 ISBN 13: 9781402070648
New Hardcover Quantity Available: 10
Seller:
Ergodebooks
(RICHMOND, TX, U.S.A.)
Rating
[?]

Book Description Springer, 2002. Hardcover. Book Condition: New. Bookseller Inventory # INGM9781402070648

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 111.54
Convert Currency

Add to Basket

Shipping: US$ 4.99
Within U.S.A.
Destination, Rates & Speeds

There are more copies of this book

View all search results for this book