Problems for mathematicians, young and old:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Washington, DC
Mathematical Association of America
1991
|
| Schriftenreihe: | The Dolciani Mathematical Expositions
12 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVIII, 318 Seiten graph. Darst. |
| ISBN: | 0883853205 |
Internformat
MARC
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| 245 | 1 | 0 | |a Problems for mathematicians, young and old |c Paul Halmos |
| 264 | 1 | |a Washington, DC |b Mathematical Association of America |c 1991 | |
| 300 | |a XVIII, 318 Seiten |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a The Dolciani Mathematical Expositions |v 12 | |
| 650 | 7 | |a Jeux mathématiques |2 ram | |
| 650 | 4 | |a Mathématiques - Problèmes et exercices | |
| 650 | 7 | |a Mathématiques - Problèmes et exercices |2 ram | |
| 650 | 7 | |a algèbre |2 inriac | |
| 650 | 7 | |a calcul |2 inriac | |
| 650 | 7 | |a combinatoire |2 inriac | |
| 650 | 7 | |a géométrie |2 inriac | |
| 650 | 7 | |a matrice |2 inriac | |
| 650 | 7 | |a probabilités |2 inriac | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Mathematics |x Problems, exercises, etc | |
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| 830 | 0 | |a The Dolciani Mathematical Expositions |v 12 |w (DE-604)BV001900740 |9 12 | |
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Datensatz im Suchindex
| _version_ | 1804122771012190208 |
|---|---|
| adam_text | Contents
Chapter 1. Combinatorics 1
1 A. Tennis matches
1 B. Friends and strangers
1 C. Symmetric matrices
1 D, The marriage problem
1 E. Marital infidelity
1 F. Monotone subsequences
1 G. Increasing rows
1 H. Handshakes
11. Seating
1 J. Unending chess
1 K. Surgical gloves
Chapter 2. Calculus 11
2 A. Cosine iterated
2 B. Square root limits
2 C. Irrational multiples
2 D. Square roots as limits
2 E. A maximum
2 F. Double integral
2 G. Product rule
2 H. Exponential inequality
21. Railroad track
2 J. Acceleration
xiii
XJV PROBLEMS FOR MATHEMATICIANS, YOUNG AND OLD
Chapter 3. Puzzles 21
3 A. Cucumbers
3 B.Irrational exponents
3 C. Million factorial
3 D. Coconuts
3 E. Three 2 s
3 F. Magic squares
3 G. Consecutive integers
Chapter 4. Numbers 25
4 A. Powers and primes
4 B. Primes of l s and O s
4 C. Chinese remainder theorem
4 D. Non square free sequences
4 E. Sums of digits
4 F. Non divisibility
4 G. Blockless sequences
4 H. Maximum product
41. Towers of fives and tens
4 J. Towers of threes
4 K. Irrational punch
Chapter 5. Geometry 33
5 A. Pyramid and tetrahedron
5 B. Join closed finite sets
5 C. Maximal triangle
5 D. Minimal triangle
5 E. Minimal roads
5 F. Short straightedge
5 G. Disjoint triangles
5 H. Maximal rectangle
5 I. Bisection of triangles
5 J. Cavalieri congruence
5 K. Extreme points, two dimensional
5 L. Extreme points, three dimensional
5 M. Extreme points, finite dimensional
5 N. Closed convex hulls
Chapter 6. Tilings 43
6 A. Chomp, square
Contents XV
6 B. Chomp, thin
6 C. Chomp, infinite
6 D. Chomp, finite
6 E. Plane, three colors
6 F. Plane, ten colors
6 G. Domino tiling
6 H. Domino tiling, other
61. Dominoes, long
6 J. Dominoes, comer
6 K. Integer rectangles
Chapter 7. Probability 53
7 A. Loaded dice
7 B. Honestly loaded dice
7 C. Renumbered dice
7 D. Transitive probability
7 E. Best horse loses
7 F. Odd man out
7 G. Odd one of four
7 H. Probability 1/3
71. Probability answers
7 J. Balls in boxes
7 K. Expectation of sums
7 L. Numbers in a hat
Chapter 8. Analysis 61
8 A. Towers of roots
8 B. The L1 norm of a derivative
8 C. The boundedness of a derivative
8 D. Log square integrability
8 E. Log over square integrability
8 F. Universal chords
8 G. Cesaro continuity
8 H. Cantor function
81. Fixed points of entire functions
8 J. Monk polynomials
8 K. Semiuniversal chords
8 L. Bounded polynomials
8 M. Polynomial limits
8 N. Harmonic series, primes
xvi PROBLEMS FOR MATHEMATICIANS, YOUNG AND OLD
8 O. Rational exponentials
8 P. Harmonic series, values
8 Q. Harmonic series, gaps
Chapter 9. Matrices 77
9 A. Unions of subspaces
9 B. Simultaneous complements
9 C. Square roots of matrices
9 D. Inverses and polynomials
9 E. Extra eigenvectors
9 F. Even matrices
9 G. Null power matrices
9 H. Moving averages
9 I. Square roots and polynomials
9 J. Linear isometries
9 K. Perturbation of the identity
9 L. Commuting normal transformations
9 M. Norms of normal products
9 N. Law of exponents
9 O. Necessary commutativity
9 P. Hermitian law of exponents
9 Q. Exponential inequality
Chapter 10. Algebra 91
10 A. Reals mod 1
10 B. Groups in fields
10 C. Elementary symmetric functions
10 D. Polynomial divisibility
10 E. Non isomorphic fields
10 F. Polynomial values
10 G. Left inverses
10 H. Total product
101. Cosets
10 J. Non trivial automorphisms
10 K. Automorphisms, |
10 L. Automorphisms, |
10 M. Semigroup embedding
10 N. Unions of subgroups
10 O. Maximal subgroups
10 P. Schroder Bernstein groups
Contents xvii
Chapter 11. Sets 101
11 A. Lines in the plane
11 B. Almost disjoint sets
11C. Boundedly almost disjoint sets
11 D. Complex real vector space
HE. Rational irrational functions
11 F. Real semigroups
11 G. Closures and complements
11 H. Sums of sets
111. Cantor plus Cantor
11 J. Decreasing balls
11 K. Decreasing convex
Chapter 12. Spaces 107
12 A. Cocountable connected
12 B. Countable connected
12 C. Decreasing connected
12 D. Plane filling circles, honest
12 E. Plane filling circles, topological
12 F. Space filling circles, topological
12 G. Space filling circles, honest
12 H. Closed versus open intervals
121. Unions of closed intervals
12 J. Unions of open intervals
12 K. Interval as product
12 L. Convex metrics
12 M. Circular maps
Chapter 13. Mappings 117
13 A. Simultaneous fixed points
13 B. Maps in maps
13 C. Incompressible transformations
13 D. Non isomorphic topological groups
13 E. Connected groups
13 F. Inverse mapping theorem for groups
Chapter 14. Measures 121
14 A. Cake problem—wrong
14 B. Cake problem—right
14 C. Integrals of variable size
xviii PROBLEMS FOR MATHEMATICIANS, YOUNG AND OLD
14 D. Measure zero covers
14 E. Unbounded functions
14 F. Measures of fixed size
14 G. Intersections of positive measure
14 H. Uncountable intersections
141. Intersections, non empty
Hints 127
Solutions
Chapter 1. Combinatorics 145
Chapter 2. Calculus 159
Chapter 3. Puzzles 170
Chapter 4. Numbers 179
Chapter 5. Geometry 191
Chapter 6. Tilings 212
Chapter 7. Probability 225
Chapter 8. Analysis 240
Chapter 9. Matrices 258
Chapter 10. Algebra 274
Chapter 11. Sets 286
Chapter 12. Spaces 294
Chapter 13. Mappings 305
Chapter 14. Measures 309
|
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| id | DE-604.BV008402255 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:19:10Z |
| institution | BVB |
| isbn | 0883853205 |
| language | English |
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| publisher | Mathematical Association of America |
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| series | The Dolciani Mathematical Expositions |
| series2 | The Dolciani Mathematical Expositions |
| spelling | Halmos, Paul R. 1916-2006 Verfasser (DE-588)118746677 aut Problems for mathematicians, young and old Paul Halmos Washington, DC Mathematical Association of America 1991 XVIII, 318 Seiten graph. Darst. txt rdacontent n rdamedia nc rdacarrier The Dolciani Mathematical Expositions 12 Jeux mathématiques ram Mathématiques - Problèmes et exercices Mathématiques - Problèmes et exercices ram algèbre inriac calcul inriac combinatoire inriac géométrie inriac matrice inriac probabilités inriac Mathematik Mathematics Problems, exercises, etc Mathematik (DE-588)4037944-9 gnd rswk-swf (DE-588)4143389-0 Aufgabensammlung gnd-content Mathematik (DE-588)4037944-9 s DE-604 The Dolciani Mathematical Expositions 12 (DE-604)BV001900740 12 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005535966&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Halmos, Paul R. 1916-2006 Problems for mathematicians, young and old The Dolciani Mathematical Expositions Jeux mathématiques ram Mathématiques - Problèmes et exercices Mathématiques - Problèmes et exercices ram algèbre inriac calcul inriac combinatoire inriac géométrie inriac matrice inriac probabilités inriac Mathematik Mathematics Problems, exercises, etc Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4143389-0 |
| title | Problems for mathematicians, young and old |
| title_auth | Problems for mathematicians, young and old |
| title_exact_search | Problems for mathematicians, young and old |
| title_full | Problems for mathematicians, young and old Paul Halmos |
| title_fullStr | Problems for mathematicians, young and old Paul Halmos |
| title_full_unstemmed | Problems for mathematicians, young and old Paul Halmos |
| title_short | Problems for mathematicians, young and old |
| title_sort | problems for mathematicians young and old |
| topic | Jeux mathématiques ram Mathématiques - Problèmes et exercices Mathématiques - Problèmes et exercices ram algèbre inriac calcul inriac combinatoire inriac géométrie inriac matrice inriac probabilités inriac Mathematik Mathematics Problems, exercises, etc Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Jeux mathématiques Mathématiques - Problèmes et exercices algèbre calcul combinatoire géométrie matrice probabilités Mathematik Mathematics Problems, exercises, etc Aufgabensammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005535966&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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