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Information Theory: Three Theorems by Claude Shannon by Antoine Chambert-Loir
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Item specifics
- Condition
- Book Title
- Information Theory: Three Theorems by Claude Shannon
- Publication Date
- 2023-03-16
- ISBN
- 9783031215605
- Subject Area
- Mathematics, Computers, Science
- Publication Name
- Information Theory : Three Theorems of Claude Shannon
- Publisher
- Springer International Publishing A&G
- Item Length
- 9.3 in
- Subject
- Information Theory, Computer Science, General, Applied
- Publication Year
- 2023
- Series
- Unitext Ser.
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Weight
- 15.1 Oz
- Item Width
- 6.1 in
- Number of Pages
- Xii, 209 Pages
About this product
Product Identifiers
Publisher
Springer International Publishing A&G
ISBN-10
3031215605
ISBN-13
9783031215605
eBay Product ID (ePID)
26058385943
Product Key Features
Number of Pages
Xii, 209 Pages
Publication Name
Information Theory : Three Theorems of Claude Shannon
Language
English
Publication Year
2023
Subject
Information Theory, Computer Science, General, Applied
Type
Textbook
Subject Area
Mathematics, Computers, Science
Series
Unitext Ser.
Format
Trade Paperback
Dimensions
Item Weight
15.1 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Reviews
"This book can be especially useful for those who are just getting to know the basics of information theory." (Eszter Gselmann, zbMATH 1526.94001, 2024)
Dewey Edition
23
Series Volume Number
144
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
003.54
Original Language
French
Table Of Content
Elements of Theory of Probability.- Entropy and Mutual Information.- Coding.- Sampling.- Solutions to Exercises.- Bibliography.- Notation.- Index.
Synopsis
This book provides an introduction to information theory, focussing on Shannon's three foundational theorems of 1948-1949. Shannon's first two theorems, based on the notion of entropy in probability theory, specify the extent to which a message can be compressed for fast transmission and how to erase errors associated with poor transmission. The third theorem, using Fourier theory, ensures that a signal can be reconstructed from a sufficiently fine sampling of it. These three theorems constitute the roadmap of the book. The first chapter studies the entropy of a discrete random variable and related notions. The second chapter, on compression and error correcting, introduces the concept of coding, proves the existence of optimal codes and good codes (Shannon's first theorem), and shows how information can be transmitted in the presence of noise (Shannon's second theorem). The third chapter proves the sampling theorem (Shannon's third theorem) and looks at its connections with other results, such as the Poisson summation formula. Finally, there is a discussion of the uncertainty principle in information theory. Featuring a good supply of exercises (with solutions), and an introductory chapter covering the prerequisites, this text stems out lectures given to mathematics/computer science students at the beginning graduate level.
LC Classification Number
QA76.9.M35
Item description from the seller
Seller feedback (511,688)
- m***m (2281)- Feedback left by buyer.Past monthVerified purchaseI’m thrilled with my recent purchase . The website was user-friendly, and the product descriptions were accurate. Customer service was prompt and helpful, answering all my questions. My order arrived quickly, well-packaged, and the product exceeded my expectations in quality. I’m impressed with the attention to detail and the overall experience. I’ll definitely shop here again and highly recommend from this seller to others. Thank you for a fantastic experience!
- a***n (43)- Feedback left by buyer.Past monthVerified purchaseMistakenly ordered a paperback that I thought was a hardcover, not sellers fault; it was described properly on the listing. Seller still processed a refund the day I went to return the item and let me keep the item anyway. A+++ service. Book arrived quickly in great condition and for a great price. Thank you so much! Amazing seller!
- n***c (94)- Feedback left by buyer.Past monthVerified purchaseseller was communicative about my shipment, media mail took a while and tracking wasn't updated frequently, but seller communicated to me very quickly on status. the item came new and wrapped as described, though the packaging in it was packed wasn't sturdy and falling apart when it got to me.
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Seller feedback (511,688)
- m***m (2281)- Feedback left by buyer.Past monthVerified purchaseI’m thrilled with my recent purchase . The website was user-friendly, and the product descriptions were accurate. Customer service was prompt and helpful, answering all my questions. My order arrived quickly, well-packaged, and the product exceeded my expectations in quality. I’m impressed with the attention to detail and the overall experience. I’ll definitely shop here again and highly recommend from this seller to others. Thank you for a fantastic experience!
- a***n (43)- Feedback left by buyer.Past monthVerified purchaseMistakenly ordered a paperback that I thought was a hardcover, not sellers fault; it was described properly on the listing. Seller still processed a refund the day I went to return the item and let me keep the item anyway. A+++ service. Book arrived quickly in great condition and for a great price. Thank you so much! Amazing seller!
- n***c (94)- Feedback left by buyer.Past monthVerified purchaseseller was communicative about my shipment, media mail took a while and tracking wasn't updated frequently, but seller communicated to me very quickly on status. the item came new and wrapped as described, though the packaging in it was packed wasn't sturdy and falling apart when it got to me.