On Fluctuating Functions (Classic Reprint) - Softcover

William Rowan Hamilton

 
9780282904418: On Fluctuating Functions (Classic Reprint)

Synopsis

This book delves into the intricate realm of fluctuating functions, a concept central to understanding various phenomena in mathematics and physics. The author embarks on a comprehensive exploration of these functions, meticulously examining their properties and applications. Emerging from the rich tapestry of 19th-century mathematical discourse, the text engages with the works of renowned mathematicians such as Fourier, Poisson, and Lagrange, placing their contributions within the context of fluctuating function theory. The author's analysis extends beyond established results, venturing into uncharted territories to uncover novel insights and connections. Central themes include the integration of fluctuating functions, their representation as infinite series, and their role in solving differential equations. The book delves into the intricacies of Fourier analysis, exploring its profound implications for understanding periodic phenomena and arbitrary functions. Ultimately, this book unveils the power and versatility of fluctuating functions as a tool for comprehending the complexities of the natural world, offering a glimpse into the elegant mathematical structures that underpin our understanding of physical reality.

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