Background
Boas, Ralph Philip was born on August 8, 1912 in Walla Walla, Washington, District of Columbia, United States. Son of Ralph Philip and Louise (Schutz) Boas.
(This is a revised, updated, and augmented edition of a cl...)
This is a revised, updated, and augmented edition of a classic Carus monograph with a new chapter on integration and its applications. Earlier editions covered sets, metric spaces, continuous functions, and differentiable functions. To that, this edition adds sections on measurable sets and functions and the Lebesgue and Stieltjes integrals. The book retains the informal chatty style of the previous editions. It presents a variety of interesting topics, many of which are not commonly encountered in undergraduate textbooks, such as the existence of continuous everywhere-oscillating functions; two functions having equal derivatives, yet not differing by a constant; application of Stieltjes integration to the speed of convergence of infinite series. For readers with a background in calculus, the book is suitable either for self-study or for supplemental reading in a course on advanced calculus or real analysis. Students of mathematics will find here the sense of wonder that was associated with the subject in its early days.
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(The Mathematical Association of America presents the thir...)
The Mathematical Association of America presents the thirteenth Carus Mathematical Monograph about A Primer of Real Functions, written by Ralph P. Boas, Jr., in 1961
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(In A Primer of Real Functions: The Carus Mathematical Mon...)
In A Primer of Real Functions: The Carus Mathematical Monographs Number Thirteen, the author presents concepts and methods of "real variables" and uses them to obtain some interesting results. Written as a course of informal lectures, it covers mathematical sets and functions and contains various exercises with their answers and black and white illustrations.
http://www.amazon.com/gp/product/B0051TM0A8/?tag=2022091-20
(Ideal for a first course in complex analysis, this book c...)
Ideal for a first course in complex analysis, this book can be used either as a classroom text or for independent study. Written at a level accessible to advanced undergraduates and beginning graduate students, the book is suitable for readers acquainted with advanced calculus or introductory real analysis. The treatment goes beyond the standard material of power series, Cauchy's theorem, residues, conformal mapping, and harmonic functions by including accessible discussions of intriguing topics that are uncommon in a book at this level. The flexibility afforded by the supplementary topics and applications makes the book adaptable either to a short, one-term course or to a comprehensive, full-year course. Detailed solutions of the exercises both serve as models for students and facilitate independent study. Supplementary exercises, not solved in the book, provide an additional teaching tool. This second edition has been painstakingly revised by the author's son, himself an award-winning mathematical expositor.
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Boas, Ralph Philip was born on August 8, 1912 in Walla Walla, Washington, District of Columbia, United States. Son of Ralph Philip and Louise (Schutz) Boas.
Bachelor of Arts, Harvard University, 1933; Doctor of Philosophy, Harvard University, 1937.
National Research fellow, Princeton University and.
(In A Primer of Real Functions: The Carus Mathematical Mon...)
(The Mathematical Association of America presents the thir...)
(This is a revised, updated, and augmented edition of a cl...)
(Ideal for a first course in complex analysis, this book c...)
(Book by Boas, Ralph Philip)
Fellow American Association for the Advancement of Science. Member American Mathematics Society (vice president 1959-1960, trustee 1966-1971), Mathematics Association American (chairman undergraduate program in mathematics 1968-1971, president 1973-1974, editor 1977-1981, Distinguished Service award 1981), London Mathematics Society, American Translators Association Beta Kappa, Sigma Xi.
Married Mary Elizabeth Layne, June12, 1941. Children: Ralph Layne, Anne Louise, Harold Philip.