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Developed from the author's popular text, A Concise Introduction to the Theory of Numbers, this book provides a comprehensive initiation to all the major branches of number theory. Beginning with the rudiments of the subject, the author proceeds to more advanced topics, including elements of cryptography and primality testing, an account of number fields in the classical vein including properties of their units, ideals and ideal classes, aspects of analytic number theory including studies of the Riemann zeta-function, the prime-number theorem and primes in arithmetical progressions, a description of the Hardy–Littlewood and sieve methods from respectively additive and multiplicative number theory and an exposition of the arithmetic of elliptic curves. The book includes many worked examples, exercises and further reading. Its wider coverage and versatility make this book suitable for courses extending from the elementary to beginning graduate studies.
How did the universe begin and how will it end? What happens to us when we die? Do intelligent beings exist elsewhere in our galaxy and beyond? The Edge of Science addresses these and many other questions that have bewildered and perplexed humanity for centuries. Some of these enigmas have been solved through the ingenuity of their investigators; others remain a mystery and have given rise to equally bizarre speculations. From the Tunguska explosion of 1908 to the enigma of the Moon's origin, from the possibility of time travel to the search for zero-point energy, author Alan Baker examines the many theories that have been presented to account for the world's most enduring mysteries. Each chapter deals with an enigma that has caused wonder, excitement or fear to all who have pondered it, including: the discovery of strange fossils that hint at an unknown early history of humanity; anomalous structures photographed on the Moon and Mars; the mystery of dark matter and dark energy; and strange disappearances of people and objects. Join Alan Baker as he embarks on a strange, stimulating and sometimes frightening journey to The Edge of Science.
An approachable overview of the nature, purpose, and functional roles of chaplaincy Chaplaincy is unlike any other kind of ministry. It involves working outside a church, without a congregation, usually in a secular organization. It requires ministering to those with starkly different religious convictions, many of whom may never enter a house of worship. It is, as Alan Baker writes, “ministry in motion.” Those who are embarking upon this unique and specialized call deserve equally unique and specialized guidance, and Foundations of Chaplaincy offers exactly that. Baker surveys the biblical and theological foundations of chaplaincy before enumerating four specific responsibilities and sk...
Containing over 500 entries, this historical reference work provides an A-Z of alien and non-human encounters. It details the events, encounters, personalities and theories that have created this field of human experience and inquiry.
First published in 1975, this classic book gives a systematic account of transcendental number theory, that is those numbers which cannot be expressed as the roots of algebraic equations having rational coefficients. Their study has developed into a fertile and extensive theory enriching many branches of pure mathematics. Expositions are presented of theories relating to linear forms in the logarithms of algebraic numbers, of Schmidt's generalisation of the Thue-Siegel-Roth theorem, of Shidlovsky's work on Siegel's |E|-functions and of Sprindzuk's solution to the Mahler conjecture. The volume was revised in 1979: however Professor Baker has taken this further opportunity to update the book including new advances in the theory and many new references.
Originally published in 1981. Risk is a problem which all business decision makers have to cope with. The problem is not insurmountable, however, as there now exist well-established techniques for minimising risk and for calculating which of various available options is the optimal one to pursue. This book outlines and discusses these techniques and the theories behind them. Unlike many economic theories which only rarely have any practical applications, the techniques put forward in this book can be used by real businessmen to solve real business problems. The book concentrates on decision-making in two main areas: the allocation of a firm’s resources and the selection of new investments; and the techniques and theories discussed fall into three broad groups: linear programming, decision theory and capital market theory. Intended as an advanced undergraduate textbook for students taking business economics or managerial economics courses, this valuable book will interest specialists and students involved in management studies, microeconomics, strategic planning, operational research, accounting and MBA programmes.
As he surveys his messy room one fine morning, Gray Rabbit decides that the only way to find his book is to clean up.
When Mouse visits each of his friends as they busily prepare for Christmas, he wonders if they have forgotten about him--until he finds a surprise awaiting him at home.
London 1899. The ambassador from Mars dies under suspicious circumstances during a banquet. Before the Martians take matters in their own hands, possibly igniting an interplanetary war in the process, special investigator Thomas Blackwood and Lady Sophia Harrington are charged with the task of solving the mystery