Background
Clark, Allan H. was born on July 16, 1935 in Cincinnati. Son of Elmer Edward and Dorothy Mildred (Hersh) Clark.
( This concise, readable, college-level text treats basic...)
This concise, readable, college-level text treats basic abstract algebra in remarkable depth and detail. An antidote to the usual surveys of structure, the book presents group theory, Galois theory, and classical ideal theory in a framework emphasizing proof of important theorems. Chapter I (Set Theory) covers the basics of sets. Chapter II (Group Theory) is a rigorous introduction to groups. It contains all the results needed for Galois theory as well as the Sylow theorems, the Jordan-Holder theorem, and a complete treatment of the simplicity of alternating groups. Chapter III (Field Theory) reviews linear algebra and introduces fields as a prelude to Galois theory. In addition there is a full discussion of the constructibility of regular polygons. Chapter IV (Galois Theory) gives a thorough treatment of this classical topic, including a detailed presentation of the solvability of equations in radicals that actually includes solutions of equations of degree 3 and 4 ― a feature omitted from all texts of the last 40 years. Chapter V (Ring Theory) contains basic information about rings and unique factorization to set the stage for classical ideal theory. Chapter VI (Classical Ideal Theory) ends with an elementary proof of the Fundamental Theorem of Algebraic Number Theory for the special case of Galois extensions of the rational field, a result which brings together all the major themes of the book. The writing is clear and careful throughout, and includes many historical notes. Mathematical proof is emphasized. The text comprises 198 articles ranging in length from a paragraph to a page or two, pitched at a level that encourages careful reading. Most articles are accompanied by exercises, varying in level from the simple to the difficult.
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Clark, Allan H. was born on July 16, 1935 in Cincinnati. Son of Elmer Edward and Dorothy Mildred (Hersh) Clark.
Bachelor of Science in Mathematics, Massachusetts Institute of Technology, 1957. Master of Arts in Mathematics, Princeton University, 1959. Doctor of Philosophy in Mathematics, Princeton University, 1961.
Instructor Brown University, Providence, 1961-1963, assistant professor, 1963-1966, associate professor, 1966-1970, professor, 1970-1975, head mathematics department, 1971-1973. Visiting member Institute Advanced Study, Princeton, New Jersey, 1965-1966. Guest professor Matematisk Institute, Aarhus (Denmark) University, 1970-1971.
Dean school science Purdue University, Lafayette, Indiana, 1975-1985. President Clarkson University, Potsdam, New York, since 1985. Vice president, board directors Northern Advanced Technology Corporation, since 1985.
President, board directors Associated Colleges of St. Lawrence Valley, since 1985. Administrative representative of Purdue University, University Corporation for Atmospheric Research, 1979-1985. Trustee Universities Research Association Inc., 1976-1982.
Board directors Marine Midland Bank. Member board overseers, chair visiting committee for research, publications public service Nelson A. Rockefeller Institute Government, since 1986.
( This concise, readable, college-level text treats basic...)
Board directors New York Council for Humanities, since 1986. Member American Association for the Advancement of Science, American Association Higher Education, American Mathematics Society, American Council Education, New York Academy of Sciences, American Association Presidents of Indiana Colleges & Universities, Sigma Xi.
Married Jean Cornelia Dunn, June 24, 1961 (divorced January 1979). Children: Edward, Geoffrey, Nathaniel.
