eBook ISBN: | 978-0-88385-938-4 |
Product Code: | NML/23.E |
List Price: | $50.00 |
MAA Member Price: | $37.50 |
AMS Member Price: | $37.50 |
eBook ISBN: | 978-0-88385-938-4 |
Product Code: | NML/23.E |
List Price: | $50.00 |
MAA Member Price: | $37.50 |
AMS Member Price: | $37.50 |
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Book DetailsAnneli Lax New Mathematical LibraryVolume: 23; 1970; 206 pp
Readers who sit with this book for half to three-quarters of an hour will have mastered an elegant and pleasing bit of mathematics. Nineteen independent essays on topics, including number theory, geometry, combinatorics, logic, and probability. The nineteen essays contained in this volume are independent of one another; they represent many different aspects of mathematical thinking. Standard high school courses in algebra and geometry furnish a sufficient basis for understanding each essay.
The topics treated in this volume include number theory, geometry, combinatorics, logic, probability. The methods used often involve an interaction of these various disciplines. Some essays are easy to read, and others are more challenging. Some exercises are routine; others will lead the reader deeper into the subject.
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Table of Contents
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Chapters
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Essay 1. Probability and $\pi $
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Essay 2. Odd and Even Numbers
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Essay 3. Sylvester’s Problem of Collinear Triads
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Essay 4. The Algebra of Statements
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Essay 5. The Farey Series
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Essay 6. A Property of $a^n$
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Essay 7. Squaring the Square
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Essay 8. Writing a Number as a Sum of Two Squares
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Essay 9. The Isoperimetric Problem
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Essay 10. Five Curiosities from Arithmetic
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Essay 11. A Problem of Regiomontanus
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Essay 12. Complementary Sequences
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Essay 13. Pythagorean Arithmetic
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Essay 14. Abundant Numbers
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Essay 15. Mascheroni and Steiner
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Essay 16. A Property of Some Repeating Decimals
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Essay 17. The Theorem of Barbier
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Essay 18. The Series of Reciprocals of Primes
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Essay 19. Van Schooten’s Problem
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Reviews
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This is a well written and thought provoking book with open endedness to make the reader really work on each essay. It would certainly be a useful resource for aspiring young mathematicians.
The Australian Mathematics Teacher
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Reviews
- Requests
Readers who sit with this book for half to three-quarters of an hour will have mastered an elegant and pleasing bit of mathematics. Nineteen independent essays on topics, including number theory, geometry, combinatorics, logic, and probability. The nineteen essays contained in this volume are independent of one another; they represent many different aspects of mathematical thinking. Standard high school courses in algebra and geometry furnish a sufficient basis for understanding each essay.
The topics treated in this volume include number theory, geometry, combinatorics, logic, probability. The methods used often involve an interaction of these various disciplines. Some essays are easy to read, and others are more challenging. Some exercises are routine; others will lead the reader deeper into the subject.
-
Chapters
-
Essay 1. Probability and $\pi $
-
Essay 2. Odd and Even Numbers
-
Essay 3. Sylvester’s Problem of Collinear Triads
-
Essay 4. The Algebra of Statements
-
Essay 5. The Farey Series
-
Essay 6. A Property of $a^n$
-
Essay 7. Squaring the Square
-
Essay 8. Writing a Number as a Sum of Two Squares
-
Essay 9. The Isoperimetric Problem
-
Essay 10. Five Curiosities from Arithmetic
-
Essay 11. A Problem of Regiomontanus
-
Essay 12. Complementary Sequences
-
Essay 13. Pythagorean Arithmetic
-
Essay 14. Abundant Numbers
-
Essay 15. Mascheroni and Steiner
-
Essay 16. A Property of Some Repeating Decimals
-
Essay 17. The Theorem of Barbier
-
Essay 18. The Series of Reciprocals of Primes
-
Essay 19. Van Schooten’s Problem
-
This is a well written and thought provoking book with open endedness to make the reader really work on each essay. It would certainly be a useful resource for aspiring young mathematicians.
The Australian Mathematics Teacher