Among the myriad of constants that appear in mathematics, p, e, and i are the most familiar. Following closely behind is g, or gamma, a constant that arises in many mathematical areas yet maintains a profound sense of mystery. In a tantalizing blend of history and mathematics, Julian Havil takes the reader on a journey through logarithms and the harmonic series, the two defining elements of gamma, toward the first account of gamma's place in mathematics. Introduced by the Swiss mathematician Leonhard Euler (1707-1783), who figures prominently in this.
Among the many constants that appear in mathematics, π, e, and i are the most familiar. Following closely behind is y, or gamma, a constant that arises in many mathematical areas yet maintains a profound sense of mystery. In a tantalizing blend of history and mathematics, Julian Havil takes the reader on a journey through logarithms and the harmonic series, the two defining elements of gamma, toward the first account of gamma's place in mathematics. Introduced by the Swiss mathematician Leonhard Euler (1707-1783), who figures prominently in this book, gamma is defined as the limit of the sum of 1 + 1/2 + 1/3 + . . . Up to 1/n, minus the natural logarithm of n--the numerical value being 0.5772156. . . . But unlike its more celebrated colleagues π and e, the exact nature of gamma remains a mystery--we don't even know if gamma can be expressed as a fraction. Among the numerous topics that arise during this historical odyssey into fundamental mathematical ideas are the Prime Number Theorem and the most important open problem in mathematics today--the Riemann Hypothesis (though no proof of either is offered!). Sure to be popular with not only students and instructors but all math aficionados, Gamma takes us through countries, centuries, lives, and works, unfolding along the way the stories of some remarkable mathematics from some remarkable mathematicians.
“Addison Cain's writing blows me away each time!” NYT Bestselling author Anna Zaires My love for her is forbidden. When the princess was placed in my care, the devil ordered that I never show his daughter mercy, affection, or a gentle hand. To keep her safe from the denizens of our dark king’s Cathedral, Jade’s life as my ward has been pitiless. She despises me. Yet I am utterly, irrevocably in love. Infamous for my coldness, unquestioned in my fealty, the devil forgets that there are older, more terrible monsters in the dark—and I have sold my soul to the most ancient of evil so that Jade might one day be mine. CATHERDRAL is a standalone novel in the Cradle of Darkness series culminating in an HEA. The horror prequel, Catacombs, will enrich the experience of this book but is not necessary. Keywords: Vampire, capture fantasy, vampire romance, possessive alpha male dark romance, Dark romance, psychological romance, gothic romance, paranormal romance, dystopian, dystopian romance, complete power exchange, seductive romance, Alpha Hero, Antihero, antihero romance, antihero dark romance, Suffering Heroine, Obsessive Hero, abduction to love, Abuse of Power, beauty and the beast, blackmail, passionate lovers, tortured heroine, tragic past, unrequited love, sexually romantic books, series, romantic suspense, collections, anthologies, jealous possessive romance, forbidden romance, hunted female, angsty alpha romance, horror romance, romantic suspense, thriller, #freepearl, standalone, guaranteed HEA
Prompt gamma activation analysis (PGAA) is a unique, non-destructive nuclear analytical method with multi-element capabilities. It is most effective if intense neutron beams (especially cold beams) of nuclear reactors are used to induce the prompt gamma radiation. Based largely on the authors' pioneering research in cold neutron PGAA, the handbook describes the methodology in self-contained manner and reviews recent applications. The library of prompt gamma ray data and spectra for all natural elements is a unique aid to the practitioner. The level is understandable by a broad audience, which facilitates teaching and training. The Handbook of Prompt Gamma Activation Analysis is a comprehensive handbook written for those practising the method, wanting to implement it at a reactor facility, or just looking for a powerful non-destructive method of element analysis. The book is also useful for nuclear physics, chemistry and engineering scientists, scholars and graduate students interested in neutron-induced gamma ray spectroscopy and nuclear analytical methods.
This publication provides an excellent overview of Japan's 20-year experience with stereotactic radiosurgery using the Leksell Gamma Knife. Leading experts discuss their long-term results with gamma knife radiosurgery. Studies focusing on dose selection for optimal treatment results and avoidance of complications are also presented. In addition, gamma knife treatments of extracranial pathologies are reviewed.
Since their discovery was first announced in 1973, gamma-ray bursts (GRBs) have been among the most fascination objects in the universe. While the initial mystery has gone, the fascination continues, sustained by the close connection linking GRBs with some of the most fundamental topics in modern astrophysics and cosmology. Both authors have been active in GRB observations for over two decades and have produced an outstanding account on both the history and the perspectives of GRB research.
This large (8.5" X 11") paperback journal has a matte, flexible soft-cover. There are 100 wide-ruled lined pages (50 letter size sheets) for all of your writing. A perfect journal, notebook, composition book, planner, diary, or note pad for all of your lists, thoughts, doodles, ideas, and notes.
Today, over 500,000 patients have been treated world wide in 250 Gamma Knife Centres in 37 countries each one treating between 150 and 700 patients a year. The current book serves as a textbook, training manual and reference book for those involved in Gamma Knife practice covering the theoretical background, the practical aspects of treatment, the social side of the method and necessary information not only for users but for those who refer to the Gamma Knife. It also covers some aspects of the hospital and social administration required for optimal use of the technology, also looking at the effect of the internet on specialist medical practice. It also presents the completely new Gamma Knife (Perfexion), a new technology which extends the range of the Gamma Knife and will be the treatment standard for the future.
Provides a definitive overview of the current status of gamma-ray lasers including contributions from scientists pursuing active research in areas relevant to the graser problem. Describes a range of programmes which deal with selecting candidate nuclei, procuring the right lasing medium and forming it into an acicular geometry, working in an energy regime that enables utilizing the Mossbauer Effect, using the Campbell-Borrmann Effect to decrease electronic absorption, designing basic experiments that demonstrate critical steps necessary to produce a graser, and clarifying a number of theoretical problems specific to the nuclear laser.
