Background
Burn, Robert Pemberton was born on August 15, 1934 in London. Son of Joshua Harold and Katharine Frances (Pemberton) Burn.
(Number theory is concerned with the properties of the nat...)
Number theory is concerned with the properties of the natural numbers: 1,2,3,.... During the seventeenth and eighteenth centuries, number theory became established through the work of Fermat, Euler and Gauss. With the hand calculators and computers of today, the results of extensive numerical work are instantly available and mathematicians may traverse the road leading to their discoveries with comparative ease. Now in its second edition, this book consists of a sequence of exercises that will lead readers from quite simple number work to the point where they can prove algebraically the classical results of elementary number theory for themselves. A modern high school course in mathematics is sufficient background for the whole book which, as a whole, is designed to be used as an undergraduate course in number theory to be pursued by independent study without supporting lectures.
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(Following the same successful approach as Dr. Burn's prev...)
Following the same successful approach as Dr. Burn's previous book on number theory, this text consists of a carefully constructed sequence of questions that will enable the reader, through participation, to study all the group theory covered by a conventional first university course. An introduction to vector spaces, leading to the study of linear groups, and an introduction to complex numbers, leading to the study of Möbius transformations and stereographic projection, are also included. Quaternions and their relationships to 3-dimensional isometries are covered, and the climax of the book is a study of the crystallographic groups, with a complete analysis of these groups in two dimensions.
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(The transition from studying calculus in high school to s...)
The transition from studying calculus in high school to studying mathematical analysis in college is notoriously difficult. In this new edition of Numbers and Functions, Dr. Burn invites the student to tackle each of the key concepts, progressing from experience through a structured sequence of several hundred problems to concepts, definitions and proofs of classical real analysis. The problems, with all solutions supplied, draw readers into constructing definitions and theorems. This novel approach to rigorous analysis will enable students to grow in confidence and skill and thus overcome traditional difficulties in learning this subject.
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(Book by Burn, R. P.)
Book by Burn, R. P.
http://www.amazon.com/gp/product/0521205654/?tag=2022091-20
(The transition from studying calculus in schools to study...)
The transition from studying calculus in schools to studying mathematical analysis at university is notoriously difficult. In this third edition of Numbers and Functions, Professor Burn invites the student reader to tackle each of the key concepts in turn, progressing from experience through a structured sequence of more than 800 problems to concepts, definitions and proofs of classical real analysis. The sequence of problems, of which most are supplied with brief answers, draws students into constructing definitions and theorems for themselves. This natural development is informed and complemented by historical insight. Carefully corrected and updated throughout, this new edition also includes extra questions on integration and an introduction to convergence. The novel approach to rigorous analysis offered here is designed to enable students to grow in confidence and skill and thus overcome the traditional difficulties.
http://www.amazon.com/gp/product/1107444535/?tag=2022091-20
Burn, Robert Pemberton was born on August 15, 1934 in London. Son of Joshua Harold and Katharine Frances (Pemberton) Burn.
Bachelor, Peterhouse, Cambridge, England, 1956. Master of Arts, Peterhouse, Cambridge, England, 1960. Doctor of Philosophy, Westfield College, London, 1967.
Teacher Mill Hill School, London, 1957—1960. Lecturer mathematics St. John's College, Palayamkottai, India, 1961—1965, head postgraduate mathematics department, 1967—1971. Lecturer Homerton College, Cambridge, 1971—1988, Exeter University, England, 1988—1996, reader, 1996—1997.
Professor Agder University College, Kristiansand, Norway, 1997—2000. Associate lecturer Open University, 2002—2007.
(The transition from studying calculus in high school to s...)
(The transition from studying calculus in schools to study...)
(Number theory is concerned with the properties of the nat...)
(Number theory is concerned with the properties of the nat...)
(Following the same successful approach as Dr. Burn's prev...)
(Book by Burn, R. P.)
Member Mathematics Association, Association Teachers of Mathematics, British Society History of Math.
Married Isabel Joyce Bennett, August 1958. Children: Christopher, Katherine, Nicholas, Sarah.
