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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.

Mathematician and essayist James Warren looks at the Cornish megalithic stone circle Boscawen-Ûn, nineteen granite or quartz menhirs arranged in a rough oval, with a single sloping stone in their midst. The monument was possibly laid-out in Chalcolithic times for unknown reasons. James Warren measures the layout from an aerial photograph. The plan is not circular and the author demonstrates that the whole array and indeed any choice of three or more component stones cannot mathematically lie on an arc of a circle. The author shows that the stone circuit is plausibly comprised of four elliptical arcs and that these were likely generated by dragging a taut loop of rope or chain around four posts driven at the corners of a square.

Britain is a land of paradox. Its borders are mostly physicaland very obvious on the map, and yet it is impossible to saywhat it really is, or signifies, for it is entire of itself and yet aflowing synthesis of creatures and customs from around theWorld. A fragment of storm-lashed land, yet eponymouslygreat; a ramshackle polity whose demise has frequently beenforecast, but never consummated. With words and pictures James R Warren presents somecharacteristic themes, exemplified by little things andunfrequented places,which yet have stories of their own to tell,always engrossing and often momentous.Full geographical co-ordinates are given for each monument location as well as at least one recent photograph. There are fifteen subtopic chapters.