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The Critical Length for Growing a Droplet
Béla Bollobás
:
University of Cambridge, Cambridge, United Kigdom and University of Memphis, Memphis, Tennessee

Softcover ISBN: | 978-1-4704-7487-4 |
Product Code: | MEMO/310/1571 |
List Price: | $85.00 |
MAA Member Price: | $76.50 |
AMS Member Price: | $68.00 |
eBook ISBN: | 978-1-4704-8189-6 |
Product Code: | MEMO/310/1571.E |
List Price: | $85.00 |
MAA Member Price: | $76.50 |
AMS Member Price: | $68.00 |
Softcover ISBN: | 978-1-4704-7487-4 |
eBook: ISBN: | 978-1-4704-8189-6 |
Product Code: | MEMO/310/1571.B |
List Price: | $170.00 $127.50 |
MAA Member Price: | $153.00 $114.75 |
AMS Member Price: | $136.00 $102.00 |

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The Critical Length for Growing a Droplet
Béla Bollobás
:
University of Cambridge, Cambridge, United Kigdom and University of Memphis, Memphis, Tennessee
Softcover ISBN: | 978-1-4704-7487-4 |
Product Code: | MEMO/310/1571 |
List Price: | $85.00 |
MAA Member Price: | $76.50 |
AMS Member Price: | $68.00 |
eBook ISBN: | 978-1-4704-8189-6 |
Product Code: | MEMO/310/1571.E |
List Price: | $85.00 |
MAA Member Price: | $76.50 |
AMS Member Price: | $68.00 |
Softcover ISBN: | 978-1-4704-7487-4 |
eBook ISBN: | 978-1-4704-8189-6 |
Product Code: | MEMO/310/1571.B |
List Price: | $170.00 $127.50 |
MAA Member Price: | $153.00 $114.75 |
AMS Member Price: | $136.00 $102.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 310; 2025; 180 ppMSC: Primary 60
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Table of Contents
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Chapters
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1. Introduction
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2. The resistance of an update family
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3. The main theorem and an outline of the proof
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4. Locally inherited resistance
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5. Finding a rational direction in which to grow
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6. Construction of the quasistable set
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7. The resistance of induced update families
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8. Polytopes
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9. The bootstrap process in a polytope
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10. Interiors, extensions, buffers, and growth sequences
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11. Deterministic growth of droplets
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12. The proof of Theorem
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A. Properties of canonical polytopes
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B. The distance between faces of a polytope
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C. Interiors and extensions
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D. Some technical details from Chapters and
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E. Perfectly covering a polytope with smaller polytopes
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Additional Material
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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
- Additional Material
- Requests
Volume: 310; 2025; 180 pp
MSC: Primary 60
-
Chapters
-
1. Introduction
-
2. The resistance of an update family
-
3. The main theorem and an outline of the proof
-
4. Locally inherited resistance
-
5. Finding a rational direction in which to grow
-
6. Construction of the quasistable set
-
7. The resistance of induced update families
-
8. Polytopes
-
9. The bootstrap process in a polytope
-
10. Interiors, extensions, buffers, and growth sequences
-
11. Deterministic growth of droplets
-
12. The proof of Theorem
-
A. Properties of canonical polytopes
-
B. The distance between faces of a polytope
-
C. Interiors and extensions
-
D. Some technical details from Chapters and
-
E. Perfectly covering a polytope with smaller polytopes
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.