- Hardcover
- Publisher: MATHEMATICAL ASSOC #OF AMERICA
- ASIN: B000WD4VPU
- Average Customer Review: 5.0 out of 5 stars See all reviews (2 customer reviews)
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5 of 5 people found the following review helpful:
5.0 out of 5 stars
A "must have" book if you love real analysis.,
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This review is from: A Primer of Real Functions (Mathematical Association of America Textbooks) (Hardcover)
I've always enjoyed Ralph Boas' mathematical writing style. He is at his best in this small book. He covers topics in introductory and intermediate real analysis of one variable, but with an enthusiasm that pulls you along, like a good novel. This does not mean, however, that Boas skimps on theory and proof. This is an excellent resource for undergraduate/graduate study. The "Notes" section is a cornucopia of references to advanced topics by leaders in the field. And every exercise is answered, or at least addressed.
5.0 out of 5 stars
Great on Cantor's middle third set,
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This review is from: A Primer of Real Functions (Mathematical Association of America Textbooks) (Hardcover)
Boas adds humor and curious anecdotes to his presentation of real functions. His book includes Lebesque integration and gives an excellent presentation of the Cantor set.
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Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
Inside This Book
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First Sentence:
1. Sets. In order to read anything about our subject, you will have to learn the language that is used in it. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
universal chord theorem, pure jump function, horizontal chord, intermediate value property, least upper bound property, everywhere dense set, finite derivative, complementary interval, termwise differentiation, ruler function, ternary expansions, disjoint open intervals, nowhere dense sets, uniformly convergent sequence, finite subcollection, outer measure, measure zero Key Phrases - Capitalized Phrases (CAPs): (learn more)
American Mathematical Monthly, New York, Duke Mathematical Journal, Fundamenta Mathematicae, Proceedings of the American Mathematical Society, Cambridge University Press, Colloquium Mathematicum, Mathematical Gazette, Mathematical Reviews, San Francisco New!
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Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
1. Sets. In order to read anything about our subject, you will have to learn the language that is used in it. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
universal chord theorem, pure jump function, horizontal chord, intermediate value property, least upper bound property, everywhere dense set, finite derivative, complementary interval, termwise differentiation, ruler function, ternary expansions, disjoint open intervals, nowhere dense sets, uniformly convergent sequence, finite subcollection, outer measure, measure zero Key Phrases - Capitalized Phrases (CAPs): (learn more)
American Mathematical Monthly, New York, Duke Mathematical Journal, Fundamenta Mathematicae, Proceedings of the American Mathematical Society, Cambridge University Press, Colloquium Mathematicum, Mathematical Gazette, Mathematical Reviews, San Francisco New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
Citations (learn more)
This book cites 51
books:
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45
books
cite this book:
See all 45 books citing this book
- Theory of the Integral (Dover Books on Mathematics) by Stanislaw Saks on page 155, and page 174
- Differentiation of Real Functions (Crm Monograph Series) by Andrew Bruckner on page 90, and page 155
- Functional Analysis (Dover Books on Mathematics) by Frigyes Riesz on page 158, and page 205
- Generalized Riemann Integral (Carus Mathematical Monographs) by R. M. McLeod in Front Matter, and page 211
- Irrational Numbers (Carus Mathematical Monographs) by Ivan Niven in Front Matter, and page 21
See all 51 books this book cites
- Lion Hunting and Other Mathematical Pursuits: A Collection of Mathematics, Verse, and Stories (Dolciani Mathematical Expositions) by Ralph P. Boas Jr in Front Matter (1), Front Matter (2), and page 116
- Real Mathematical Analysis by Charles Chapman Pugh on page 189, page 248, and page 415
- Excursions in Calculus: An Interplay of the Continuous and the Discrete (Dolciani Mathematical Expositions) by Robert M. Young on page 281, and Back Matter
- Lebesgue Integration (Universitext) by Soo B. Chae on page 159, and Back Matter
- Introduction to Real Analysis, 3rd Edition by Robert G. Bartle in Back Matter
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