James R Warren

For army nurse Arnoldina Feng a new warmeans a New Continent; a Promotion; New Colleaguesand a New Husband in a very foreign billet.Through death Charles Charmliss, soil scientist and former naval spy turned Quaker, has won youthful health and a responsible newrole he barely understands.Feng and Charmliss fall in loveand bed as Man and Wife.Each devoutly religious, they despise the adulteryof which they separately consider themselves guilty.They just cannot help themselves.

WE DELVE DEEP INTO THE SCIENCE AND INTER-RELATIONSHIPS OF FOUR FAMOUS MATHEMATICAL CONSTANTS: EULER'S NUMBER, e, THE LUDOLPHINE CONSTANT, ( pi ), PYTHAGORAS' CONSTANT AND THE RATIO OF PHIDIAS ( phi ). ALONG THE WAY WE ASSESS THE USEFULNESS OF DIVERSE METHODS OF COMPUTING THESE NUMBERS, TECHNIQUES DATING FROM THE BRONZE AGE TO THE TWENTY-FIRST CENTURY. FROM THE EARLIEST DAYS OF VISIBLE LIFE TO OUR OWN TIMES, TINY ANIMALS HAVE PLOWED AND BURROWED THE DEEP SEA FLOOR IN SYSTEMATIC, GEOMETRICAL PATHS. THEY OFTEN SEEMED TO HAVE CONFORMED TO THE MATHEMATICS OF OUR FAMOUS NUMBERS CAN THIS REALLY BE TRUE? WE CONSIDER THE EVIDENCE. THIS SECOND EDITION, CORRECTED AND EXTENDED, IS PROFUSELY ILLUSTRATED AND HAS ORIGINAL RESEARCH, ALGEBRAIC DERIVATIONS, FULL ACADEMIC REFERENCES, AND A COMPREHENSIVE INDEX. "FOUR FAMOUS NUMBERS" WILL APPEAL TO ENTHUSIASTS, UNDERGRADUATES AND TEACHERS IN HIGHER EDUCATION.

We delve deep into the science and interrelationships ofFour Famous mathematical constantsEuler's Number e, The Ludolphine Constant ( Pi ), Pythagoras' Constant and The Ratio of Phidias ( phi ). Along the way we assess the usefulness of diverse methodsof computing these numbers, techniques dating from theBronze Age to the twenty-first century. From the earliest days of visible life to our own times, tiny animals have plowed or burrowed the deep sea floorin systematic, geometrical paths.They often seem to have conformed to the mathematics ofour famous numbers Can this really be true? We consider the evidence. Profusely illustrated with original research, algebraic derivations, full academic references, and acomprehensive index "Four Famous Numbers"will appeal to enthusiasts, undergraduates and teachersin higher education.

In this selective conspectus mathematician and essayist James Warren takes an in-depth look at the Ludolphine Constant, p, and its relationships ( if any ) with the Phidian Ratio, F, sometimes called the Golden Section. Simply-defined and deeply-mysterious the two numbers' many go-betweens include algebraic, trigonometric and hyperbolic functions and yet there is no simple finite equation relating them, though many such structures come very close The quality of estimators is part of the underlying science of this intricate liaison. Both numbers share the protean interpretabilities of great art and literature, and yet also seem to reflect the realities of growth in the physical and biological worlds. If you read this book and then understand the relationship entirely, then I have not done my job. This corrected and extended Second Edition continues the examination of the Pi-Phi relationship until 2023.

A Compilation of Original Mathematical and StatisticalResearch Reports on Diverse Themes. The Treatments presented contain full Equations, Diagrams, Tabulations, and, where appropriate, Computer Programs. Topics explored in the First Volume include: - - Mathematical Aspects of Coding - The Theory of Mixtures - The Desmotropic Disk System - Spacial Applications - Studies in Spacial Association

A Compilation of Original Mathematical and StatisticalResearch Reports on Diverse Themes. The Treatments presented contain full Equations, Diagrams, and Tabulations. Topics explored in the Third Volume include: - - Search patterns - Spacial Association - The Geometry of Roman Enceinte Design

A Compilation of Original Mathematical and StatisticalResearch Reports on Diverse Themes. The Treatments presented contain full Equations, Diagrams, Tabulations, and, where appropriate, Computer Programs. Topics explored in the Second Volume include: - - Aspects of Approximation - Gamma Function and Factorial Approximation - Miscellaneous Disquisitions - Verse - Some Studies in the Historical Time Series of British and European Lead Mine Production

Unreasonable mathematics constitutes a very diverse, some would say miscellaneous, congeries of topics: Merely those which excited the curiosity of this author. Notwithstanding, like any mathematics, these areas can be researched with the greatest rigor, as long as we retain a sense of humor and a flexible and workmanlike approach that integrates mathematical, statistical and computational devices in a practical way. Topics touched upon include: Calibrating a Pedometer; Iterating the Theorem of Pythagoras; Fitting Non-Linear Equations; Mineral Crystal Chemistry; The Types of Names that can be Pronounced; and the Quadrature of Irregular Polygons. Enjoy the work and I hope you find it useful as a starting point.Full algebraic derivations and diagrams included.

Mathematical Explorations can take an infinity offorms, at least as diverse as the explorations of space and time.Unlike explorations of space there is no need for expensiveequipment such as ice-axes, GPS systems or space rockets.Indeed, even the semi-invalid may pursue such adventureswithout leaving their desks, though admittedly it helps to have asmall computer to hand. ( Not essential ). In this further album of research reports Jim Warrenexplores inter alia the Re-Binning of Grouped Statistics; theMathematics of Ancient Pyramid Planning; ways of AssessingComputer Efficiency; the Mechanics of Planetary Flattening;Unusual Aspects of Algebraic Polynomials; and Testing theIntegrity of Decision Logic. Enjoy the work and I hope you find it useful as a starting point.Full algebraic developments and diagrams included

The Scotch Brook Valley, and its tributary The ModdeshallValley proper, convey brisk and reliable watercourses thatfor centuries supported twelve traditional watermills.In the nineteenth and twentieth centuries most of these millswere used to grind animal bones and flint to supply theLongton fine bone china industry. Latterly, the uppermost mill generated electricity to lightthe hamlet of Moddeshall. James R Warren investigates the hydraulics and hydrologicalscience of this small English catchment to consider its revivalfor the generation of small-scale hydro-electricity supply.Traditional watermill scholarship and craft is re-evaluated interms of the physics of flowing water.Contains text, photographs, tabulations, engineering equations and geometrical diagrams.