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Paul Nahin

The Mathematical Radio: Inside the Magic of AM, FM, and Single-Sideband

The Mathematical Radio: Inside the Magic of AM, FM, and Single-Sideband

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  • More about The Mathematical Radio: Inside the Magic of AM, FM, and Single-Sideband

The Mathematical Radio is a book that explains how radios work, using mathematics and historical discussion, accompanied by puzzles for math buffs to ponder. It covers key developments over a century, placing them in historical and technological context. The author, Paul Nahin, is a prolific author of math books for the general reader and describes the mathematical underpinnings of a technology we use daily. Readers need advanced high school-level math to follow the discussions, and chapters end with "challenge problems" and an appendix with solutions, partial answers, and hints.

Format: Hardback
Length: 376 pages
Publication date: 16 January 2024
Publisher: Princeton University Press


The modern radio is a marvel, and mathematics is the key to its enchantment. In his book, The Mathematical Radio, Paul Nahin delves into the workings of radios, employing mathematics and historical insights, accompanied by a series of captivating puzzles for math enthusiasts to unravel. Starting with oscillators and circuits, he progresses to AM, FM, and single-sideband radio, emphasizing the elegant mathematics that underpin these technologies rather than the engineering aspects. Nahin, a renowned author of math books for the general public, intricately describes the mathematical foundations of a technology we rely on daily. He elucidates and solves, for instance, Maxwell's equations for the electromagnetic field. While readers with a solid grasp of advanced high school-level math will find Nahin's mathematical discussions accessible, he has crafted his writing to cater to non-engineers as well. The book explores topics such as impulses in time and frequency, spectrum shifting at the transmitter, the superheterodyne, the physics of single-sideband radio, and FM sidebands. Each chapter concludes with "challenge problems," providing opportunities for readers to test their understanding, while an appendix offers solutions, partial answers, and hints. By the end of this captivating journey, readers will develop a newfound admiration for the beauty of even the most practical mathematics.

Weight: 778g
Dimension: 159 x 237 x 24 (mm)
ISBN-13: 9780691235318

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