A pesar de su formación en ingeniería eléctrica, Paul J. Nahin se ha establecido como un respetado divulgador de las matemáticas. Sus libros, que a menudo incorporan elementos de lógica e ingeniería, han atraído a un amplio público lector. Nahin hace que los conceptos matemáticos complejos sean accesibles y atractivos para una audiencia general. Su obra demuestra que las matemáticas pueden ser fascinantes y accesibles.
What's the point of calculating definite integrals since you can't possibly do them all?. What makes doing the specific integrals in this book of value aren't the specific answers we'll obtain, but rather the methods we'll use in obtaining those answers;
Physics can explain many of the things that we commonly encounter. It can tell us why the night is dark, what causes the tides, and even how best to catch a baseball. With "In Praise of Simple Physics", Paul Nahin presents a plethora of situations that explore the science and maths behind the wonders of everyday life. Roaming through a diverse range of puzzles, he illustrates how physics shows us ways to wring more energy from renewable sources, to measure the gravity in our car garages, to figure out which of three light switches in the basement controls the light bulb in the attic, and much, much more. How fast can you travel from London to Paris? How do scientists calculate the energy of an atomic bomb explosion? How do you kick a football so it stays in the air and goes a long way downfield?
This book contains a multitude of challenging problems and solutions that are not commonly found in classical textbooks. One goal of the book is to present these fascinating mathematical problems in a new and engaging way and illustrate the connections between integrals, sums, and series, many of which involve zeta functions, harmonic series, polylogarithms, and various other special functions and constants. Throughout the book, the reader will find both classical and new problems, with numerous original problems and solutions coming from the personal research of the author. Where classical problems are concerned, such as those given in Olympiads or proposed by famous mathematicians like Ramanujan, the author has come up with new, surprising or unconventional ways of obtaining the desired results. The book begins with a lively foreword by renowned author Paul Nahin and is accessible to those with a good knowledge of calculus from undergraduate students to researchers, and will appeal to all mathematical puzzlers who love a good integral or series.
The Life, Work, and Times of an Electrical Genius of the Victorian Age
The book presents a detailed and engaging account of Heaviside's life and contributions to physics, emphasizing his historical context within the Victorian era. The author, a meticulous engineer, draws from extensive research of archives and contemporary sources, providing a rich narrative that highlights Heaviside's significance in the field. The blend of personal biography and scientific exploration offers readers a comprehensive understanding of his impact on physics and engineering.
We all played tag when we were kids. What most of us don't realize is that this simple chase game is in fact an application of pursuit theory. This book gives us the complete history of this area of mathematics, from its classical analytical beginnings to the present day.
Some probability problems are so difficult that they stump the smartest mathematicians. This text shows readers how to get numerical answers to difficult probability problems without having to solve complicated mathematical questions.
"An entertaining mathematical exploration of the heat equation and its role in the triumphant development of the trans-Atlantic telegraph cable."--Inside cover
Its Origin, Its Importance, and Its Calculation
Focusing on the probability integral, the book explores its historical significance and various analytical approaches developed by prominent mathematicians like De Moivre and Laplace. It highlights the integral's pervasive presence in diverse fields such as mathematics, physics, engineering, and probability theory, emphasizing its challenges and the techniques used to evaluate it. The author also delves into applications in thermodynamics and signal processing, making the content accessible to undergraduates and appealing to those interested in mathematics and its history.
Elementary Switched-Circuit Analysis in the Time and Laplace Transform Domains (with a touch of MATLAB®)
Focusing on the analysis of electrical transients, this book serves as a comprehensive introduction for students with a foundational understanding of circuits and calculus. It delves into both lumped and continuous parameter circuits using differential equations in the time domain and the Laplace transform, which is thoroughly explained for beginners. The text emphasizes the application of singular time functions like unit step and impulse, providing detailed examples to enhance understanding without oversimplifying the mathematical and physical concepts.
Demonstrates how odd and unusual math problems can be solved by bringing together basic physics ideas and powerful computers. This title looks at how the art of number-crunching has changed since the advent of computers, and how high-speed technology helps to solve conundrums such as the three-body, Monte Carlo, and gambler's ruin problems.