Background
Meserve, Bruce Elwyn was born on February 2, 1917 in Portland, Maine, United States. Son of Walter Joseph and Bessie Adelia (Bailey) Meserve.
( Fundamental Concepts of Geometry demonstrates in a clea...)
Fundamental Concepts of Geometry demonstrates in a clear and lucid manner the relationships of several types of geometry to one another. This highly regarded work is a superior teaching text, especially valuable in teacher preparation, as well as providing an excellent overview of the foundations and historical evolution of geometrical concepts. Professor Meserve (University of Vermont) offers students and prospective teachers the broad mathematical perspective gained from an elementary treatment of the fundamental concepts of mathematics. The clearly presented text is written on an undergraduate (or advanced secondary-school) level and includes numerous exercises and a brief bibliography. An indispensable taddition to any math library, this helpful guide will enable the reader to discover the relationships among Euclidean plane geometry and other geometries; obtain a practical understanding of "proof"; view geometry as a logical system based on postulates and undefined elements; and appreciate the historical evolution of geometric concepts.
http://www.amazon.com/gp/product/0486634159/?tag=2022091-20
(Fundamental Concepts of Geometry demonstrates in a clear ...)
Fundamental Concepts of Geometry demonstrates in a clear and lucid manner the relationships of several types of geometry to one another. This highly regarded work is a superior teaching text, especially valuable in teacher preparation, as well as providing an excellent overview of the foundations and historical evolution of geometrical concepts. Professor Meserve (University of Vermont) offers students and prospective teachers the broad mathematical perspective gained from an elementary treatment of the fundamental concepts of mathematics. The clearly presented text is written on an undergraduate (or advanced secondary-school) level and includes numerous exercises and a brief bibliography. An indispensable taddition to any math library, this helpful guide will enable the reader to discover the relationships among Euclidean plane geometry and other geometries; obtain a practical understanding of "proof"; view geometry as a logical system based on postulates and undefined elements; and appreciate the historical evolution of geometric concepts. - See more at: http://store.doverpublications.com/0486634159.html#sthash.fiEAVHtj.dpuf
http://www.amazon.com/gp/product/B010TTFGVO/?tag=2022091-20
( This uncommonly interesting volume has been a favorite ...)
This uncommonly interesting volume has been a favorite for 30 years, and is now available for the first time in a modestly priced paperback edition. Beginning with the fundamentals of numbers and sets, the author clearly guides the reader through the often discouraging complexities of algebra. Meserve presents the fundamental concepts of algebra illustrated by numerous examples- and, in many cases, the theory is further explicated by suitable sequences of exercises. The author's aim is to introduce the concepts of higher mathematics while bringing the reader to a more thorough understanding of elementary mathematics. His lucid explanations cover these major areas: OUR NUMBER SYSTEM: Sets, Cardinal Numbers, Order Relations, Real Numbers, Fields and Number Systems, more. THEORY OF NUMBERS: Divisibility, Prime Numbers, Bases, Division Algorithm, Decimal Notations, Linear Congruences, more. THEORY OF POLYNOMIALS: Rational Functions, Irreducible Polynomials, Functions, Limits, Continuity, Derivatives, more. THEORY OF EQUATIONS: Zeros of a Polynomial, Change of a Variable, Number of Roots, Quartic Equations, more. DETERMINANTS AND MATRICES: Historical Development, Permutations, Inversions, Transpositions, Cramer's Rule, more. CONSTRUCTIONS: The Algebraic Viewpoint, Classical Constructions, Mechanical Angle Trisectors, Linkages, more. GRAPHICAL REPRESENTATIONS: Euclidean and Complex Spaces, Conic Sections, Quadric Surfaces, Curve Tracing, more. While intended for students who have previously studied college mathematics through calculus, this book has also been successfully used where calculus was not a prerequisite. It provides a very easily followed presentation and may also be used as an introductory or supplementary textbook. For prospective teachers of secondary mathematics, for students preparing for specialized advanced undergraduate courses in mathematics, and for the general reader in search of a firmer grasp of the essentials of algebra, there is no better, more helpful guide than Meserve.
http://www.amazon.com/gp/product/0486614700/?tag=2022091-20
Meserve, Bruce Elwyn was born on February 2, 1917 in Portland, Maine, United States. Son of Walter Joseph and Bessie Adelia (Bailey) Meserve.
AB, Bates College, Lewiston, Maine, 1938. Master of Arts, Duke University, 1941. Doctor of Philosophy, Duke University, 1947.
Teacher, Moses Brown School, Providence, Rhode Island, 1938-1941; from instructor to assistant professor, University of Illinois, Champaign, 1946-1954; from associate professor to professor, chairman mathematics department, Montclair State College, Upper Montclair, New Jersey, 1954-1964; professor, U. Vermont, Burlington, 1964-1983; professor emeritus, U. Vermont, Burlington, since 1983. Co-chairman International Study Group on Rels. Between History and Pedagogy of Mathematics, 1980-1984.
( This uncommonly interesting volume has been a favorite ...)
( Fundamental Concepts of Geometry demonstrates in a clea...)
(Fundamental Concepts of Geometry demonstrates in a clear ...)
Moderator Town of Fairfax, Vermont, 1976-1984. Fellow American Association for the Advancement of Science. Member American Mathematics Society, Mathematics Association American, National Council Teachers of Mathematics (president 1964-1966, board directors 1958-1967), Phi Beta Kappa, Sigma Pi Sigma.
Married Gertrude Morey Holland, June 7, 1941 (divorced 1961). Children: Arthur, Virginia, Donald. Married Dorothy Spencer Tucker, August 5, 1961.