Meticulously researched, Marshall Hall: A Law unto Himself is the first modern biography of a complex and influential man. In an age of inadequate defence funding, minimal forensic evidence, a rigid moral code and a reactionary judiciary, his only real weapons were his understanding of human psychology and the power of his personality.

Includes proof of van der Waerden's 1926 conjecture on permanents, Wilson's theorem on asymptotic existence, and other developments in combinatorics since 1967. Also covers coding theory and its important connection with designs, problems of enumeration, and partition. Presents fundamentals in addition to latest advances, with illustrative problems at the end of each chapter. Enlarged appendixes include a longer list of block designs.

Marshall Hall was trained as a physician in the early nineteenth century, scientifically oriented, University of Edinburgh Medical School. The son of a Methodist cotton manufacturer and bleacher at Nottingham, Hall believed that in science lay the future for progress in medicine. Following early work on diagnosis, on women's disorders and on blood-letting, Hall came to specialise in the nervous system and in particular on the concept of reflex action. For Hall, who proposed a mechanistic explanation of reflex action, Galenic animal spirits and souls in decapitated creatures were out. A superb experimentalist, Hall strove to establish experimental medicine (physiology) as the basis of the medical curriculum instead of anatomy, the long standing domain of the surgeons. They were among the strongest critics of Hall's vivisection procedures, despite his efforts to establish a Code of Practice. Hall was involved in several controversies within and without the Royal Society where he was victimised by its Physiological Committee. He addressed a range of social and public health issues including the abolition of slavery, and devised a new method of resuscitation and a more sensitive physiological test for strychnine detection. He also proposed plans for improving and linking sewage disposal and the transport system of the metropolis.

Spanning two decades of the cultural life of Melbourne, from 1891 until the start of World War I, this collection of the letters of the composer, conductor and critic G.W.L. Marshall-Hall samples the scandal, disappointments, achievements and camaraderie of those years. Sometimes caustic and often opinionated, the letters expose their author's infectious enthusaism for Art as well as his tendency to rile his enemies. Gathered here from public and private archives in Australia and Britain are 249 of the extant letters, each of which offers a vivid portrait of a man many described as a musical genius.