Books by "Peter S. Carmichael"
4 books found
This is a book for an undergraduate number theory course, senior thesis work, graduate level study, or for those wishing to learn about applications of number theory to data encryption and security. With no abstract algebra background required, it covers congruences, the Euclidean algorithm, linear Diophantine equations, the Chinese Remainder Theorem, Mobius inversion formula, Pythagorean triplets, perfect numbers and amicable pairs, Law of Quadratic Reciprocity, theorems on sums of squares, Farey fractions, periodic continued fractions, best rational approximations, and Pell’s equation. Results are applied to factoring and primality testing including those for Mersenne and Fermat primes, probabilistic primality tests, Pollard’s rho and p-1 factorization algorithms, and others. Also an introduction to cryptology with a full discussion of the RSA algorithm, discrete logarithms, and digital signatures. Chapters on analytic number theory including the Riemann zeta function, average orders of the lattice and divisor functions, Chebyshev’s theorems, and Bertrand’s Postulate. A chapter introduces additive number theory with discussion of Waring’s Problem, the pentagonal number theorem for partitions, and Schnirelmann density.
Urban Pollution and Changes to Materials and Building Surfaces
by Peter Brimblecombe
2015 · World Scientific
Pollution damages materials, but it has changed dramatically in the past century, with a reduction in the concentration of corrosive primary pollutants in urban atmospheres. At the same time, architectural styles and types of materials have changed, as we have moved to more organically rich, photochemically active atmospheres. Contemporary pollutants have a greater potential to degrade organic coatings and polymers, which are of great importance to modern structures.Urban Pollution and Changes to Materials and Building Surfaces examines a range of materials, discussing the ways in which they are likely to be damaged by contemporary urban pollutants, with an emphasis on the effects of air pollution. A chapter on graffiti is also included.The wide scope covered means that this volume is suitable for readers from a broad background. It should be of interest to scientists and policymakers dealing with the effects of urban pollution, as well as undergraduate and graduate students working in this area.This book, with its wealth of information, is of exceedingly good value for readers who seek to understand more on the changes of materials and building surfaces by urban pollution.
How do we know which snakes are dangerous? This seemingly simple question caused constant concern for the white settlers who colonised Australia after 1788. Facing a multitude of serpents in the bush, their fields and their homes, colonists wanted to know which were the harmful species and what to do when bitten. But who could provide this expertise? Liberally illustrated with period images, Venomous Encounters argues that much of the knowledge about which snakes were deadly was created by observing snakebite in domesticated creatures, from dogs to cattle. Originally accidental, by the middle of the nineteenth century this process became deliberate. Doctors, naturalists and amateur antidote sellers all caused snakes to bite familiar creatures in order to demonstrate the effects of venom - and the often erratic impact of 'cures'. In exploring this culture of colonial vivisection, Venomous Encounters asks fundamental questions about human-animal relationships and the nature of modern medicine.
“There will be a black Springbok over my dead body.” — Dr Danie Craven, President of the South African Rugby Board, 1969 Just a year after the controversial D’Oliveira affair, the organised disruption of the all-white 1969/70 South African rugby and cricket tours to Britain represented a significant challenge to apartheid politics. Led by future cabinet minister Peter Hain, the ‘Stop the Seventy Tour’ campaign brought about the cancellation of both tours, presaging white South Africa’s expulsion from the Olympics and the end of apartheid sport altogether. With his brand of attention-grabbing, direct action sports protest, the 19-year-old Hain emerged as a hero to some and enemy to others. Now, reflecting on these experiences with fifty years of hindsight, Lord Hain, together with South Africa’s foremost sports historian and fellow anti-apartheid activist André Odendaal, shows how decades of relentless international and domestic campaigning for equality led to a Springbok team captained by black athlete Siya Kolisi winning the 2019 Rugby World Cup. Interspersing a wide range of examples with personal testimony, Pitch Battles explores the themes of sport, globalisation and resistance from the deep past to the present day. Published in the same year as the Stop The Tour documentary from acclaimed director Louis Myles, this compelling story of sacrifice, struggle and triumph reveals how sport should never be divorced from politics or society’s values.