** Chapter 1** — MATHEMATICS AND THE BEGINNINGS OF THE COLONIES — Tales of the early explorers; School and adult education; Mathematics and science in early Australia

** Chapter 2** — MATHEMATICS AND THE RISE OF THE UNIVERSITIES — The University of Sydney; The University of Melbourne; The University of Adelaide; The University of Tasmania

** Chapter 3** —MATHEMATICS OUTSIDE THE UNIVERSITIES — Australia’s Royal Societies; The Australasian Association for the Advancement of Science; Statisticians; William Farrer

** Chapter 4** — MATHEMATICS IN THE UNIVERSITIES IN THE FIRST HALF OF THE TWENTIETH CENTURY — The University of Queensland; The University of Western Australia; The University of Sydney; New England University College; The University of Melbourne; The University of Adelaide; The University of Tasmania

** Chapter 5** — AUSTRALIA’S MATHEMATICIANS IN WORLD WAR 2 — Individual exploits; Cryptography; Operational research; Public health statistics; The scientists; Bailey’s radar courses

** Chapter 6** — POST-WAR MATHEMATICS IN THE OLDER UNIVERSITIES — The University of Sydney; The University of New England; The University of Melbourne; The University of Adelaide; The University of Tasmania; The University of Queensland; The University of Western Australia; The University of New South Wales

** Chapter 7** — MATHEMATICS IN CANBERRA’S COLLEGES AND UNIVERSITIES — Australia’s military, naval and air force colleges, and ADFA; Canberra University College; The Australian National University; The University of Canberra and the Australian Mathematics Trust

** Chapter 8** — NATIONAL ORGANISATIONS AND MATHEMATICS — The Australian Bureau of Statistics; CSIR and CSIRO; The Academy of Science; ‘Adding to Australia’

** Chapter 9** — MATHEMATICS AND THE LATER UNIVERSITIES — The University of Newcastle and the University of Wollongong; Monash University; Other universities of the 1960s and 1970s; The former institutes of technology; The universities founded since the late 1980s

** Chapter 10** — THE AUSTRALIAN MATHEMATICAL SOCIETY — Foundation; The first 25 years; The last 25 years; The Division of Applied Mathematics (ANZIAM)

*Appendix 1* — A SNAPSHOT OF AUSTRALIAN MATHEMATICS, 1914

*Appendix 2* — THE SPIRIT OF APPLIED MATHEMATICS by K. E. Bullen

*Appendix 3* — LISTS —The Australian Mathematical Society: First members; Office holders; Honorary members; Medallists and prize winners. Mahler Lecturers. Editors of the publications of the Australian Mathematical Society. Presidents of the Australian Mathematical Sciences Council; Fellows of the Australian Academy of Science