Elements of Real Analysis (Dover Books on Mathematics)
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This classic text in introductory analysis delineates a...)
This classic text in introductory analysis delineates and explores the intermediate steps between the basics of calculus and the ultimate stage of mathematics: abstraction and generalization.
Since many abstractions and generalizations originate with the real line, the author has made it the unifying theme of the text, constructing the real number system from the point of view of a Cauchy sequence (a step which Dr. Sprecher feels is essential to learn what the real number system is).
The material covered in Elements of Real Analysis should be accessible to those who have completed a course in calculus. To help give students a sound footing, Part One of the text reviews the fundamental concepts of sets and functions and the rational numbers. Part Two explores the real line in terms of the real number system, sequences and series of number and the structure of point sets. Part Three examines the functions of a real variable in terms of continuity, differentiability, spaces of continuous functions, measure and integration, and the Fourier series.
An especially valuable feature of the book is the exercises which follow each section. There are over five hundred, ranging from the simple to the highly difficult, each focusing on a concept previously introduced.
David A. Sprecher, German university administrator, mathematician. Served with Israeli Army, 1948-1950. Member American Mathematics Society, Mathematics Association American.
Background
Sprecher, David A. was born on January 12, 1930 in Saarbrucken, Federal Republic Germany. Son of Wolfgang and Karolina (Jung) Sprecher.
Education
Student, Hebrew University, 1954. Bachelor of Arts Bridgeport, 1958. Doctor of Philosophy, University Maryland, 1963.
Career
Instructor mathematics University Maryland, 1961-1963. Assistant professor Syracuse University, 1963-1966. Associate professor mathematics University California-Santa Barbara, 1966-1971, professor, 1971-1992, professor emeritus, since 1993, chairman department, 1972-1975, associate dean College of Letters and Science, 1975-1978, dean College of Letters and Science, 1978-1981, provost/dean, 1981-1991.
Achievements
David A. Sprecher has been listed as a noteworthy university administrator, mathematician by Marquis Who's Who.
