Combinatorics / / N. Ya Villenkin ; translated by A. Shenitzer aned S. Shenitzer |
Autore | Vilenkin N. I͡A (Naum I͡Akovlevich) |
Pubbl/distr/stampa | New York, New York ; ; London, England : , : Academic Press, , 1971 |
Descrizione fisica | 1 online resource (313 p.) |
Disciplina |
511.6
511/.6 |
Soggetto topico | Combinatorial analysis |
ISBN | 1-4832-6611-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Front Cover; Combinatorics; Copyright Page; Table of Contents; Foreword; Preface to the Russian Edition; Chapter I. General Rules of Combinatorics; Superstitious Cyclists; Samples with Repetitions; Systems of Numeration; Combination Lock; The Morse Code; Signaling at Sea; Electronic Computers; Genetic Code; General Rules of Combinatorics; A Domino Problem; Crew of a Spaceship; A Checkers Problem; How Many People Do Not Know a Foreign Language?; The Principle of Inclusion and Exclusion; Find the Error!; The Sieve of Erastothenes; Chapter II. Samples, Permutations, and Combinations
Soccer TournamentSamples without Repetitions; Learned Society; Permutations; A Rook Problem; Linguistic Problems; Dancing in a Circle; Permutations with Repetitions; Anagrams; Combinations; The Genoa Lottery; Buying Pastry; Combinations with Repetitions; The Soccer Tournament Revisited; Properties of Combinations; Special Case of the Inclusion and Exclusion Formula; Alternating Sums of Combinations; Chapter III. Combinatorial Problems with Restrictions; Lions and Tigers; Construction of a Staircase; A Bookshelf; Knights of the Round Table; A Girl Has a Date; A Telepathic Séance; Derangements SubfactorialsCaravan in the Desert; On the Merry-Go-Round; Queue at the Box Office; Problem of Two Rows; Additional Properties of Combinations; Chapter IV. Distributions and Partitions; A Domino Game; Putting Things in Boxes; A Bouquet; The Number of Divisors; Picking Apples; Picking Mushrooms; Sending Photographs; Flags on Masts; Count of All Signals; Various Statistics; Partitions of Numbers; Mailing of Printed Matter; The General Postage Problem; Combinatorial Problems in Information Theory; Problem of the University Applicant; Paying for a Purchase; Purchase of Candy; Getting Change (Unordered) Partitions of an IntegerUse of Graphs; Dual Graphs; Euler's Formula; Chapter V5. Combinatorics on a Chessboard; Walking in a Town; The Arithmetical Square; Figurate Numbers; Arithmetical Triangle; The Extended Arithmetical Triangle; Chess King; The Generalized Arithmetical Triangle; Generalized Arithmetical Triangles and Numbers to the Base m; Some Properties of the Numbers Cm(k, n); Checker in a Corner; The Arithmetical Pentagon; Geometric Proofs of Properties of Combinations; Random Walk; Brownian Motion; In the Realm of the Tsarina of Shemakhan; An Absorbing Wall Roaming on an Infinite PlaneThe General Rook Problem; Symmetric Arrangements; Two Knights; Chapter VI. Recurrence Relations; Fibonacci Numbers; Another Method of Proof; Successive Partitions; Multiplication and Division of Numbers; Polygon Problems; The Head Steward Faces a Difficulty; Lucky Bus Ticket Numbers; Recurrent Tables; Another Solution of the Problem of the Chief Steward; Solution of Recurrence Relations; Linear Recurrence Relations with Constant Coefficients; The Case of Equal Roots of the Characteristic Equation Application of the Theory of Recurrence Relations to Information Theory |
Record Nr. | UNINA-9910786640103321 |
Vilenkin N. I͡A (Naum I͡Akovlevich) | ||
New York, New York ; ; London, England : , : Academic Press, , 1971 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Combinatorics / / N. Ya Villenkin ; translated by A. Shenitzer aned S. Shenitzer |
Autore | Vilenkin N. I͡A (Naum I͡Akovlevich) |
Pubbl/distr/stampa | New York, New York ; ; London, England : , : Academic Press, , 1971 |
Descrizione fisica | 1 online resource (313 p.) |
Disciplina |
511.6
511/.6 |
Soggetto topico | Combinatorial analysis |
ISBN | 1-4832-6611-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Front Cover; Combinatorics; Copyright Page; Table of Contents; Foreword; Preface to the Russian Edition; Chapter I. General Rules of Combinatorics; Superstitious Cyclists; Samples with Repetitions; Systems of Numeration; Combination Lock; The Morse Code; Signaling at Sea; Electronic Computers; Genetic Code; General Rules of Combinatorics; A Domino Problem; Crew of a Spaceship; A Checkers Problem; How Many People Do Not Know a Foreign Language?; The Principle of Inclusion and Exclusion; Find the Error!; The Sieve of Erastothenes; Chapter II. Samples, Permutations, and Combinations
Soccer TournamentSamples without Repetitions; Learned Society; Permutations; A Rook Problem; Linguistic Problems; Dancing in a Circle; Permutations with Repetitions; Anagrams; Combinations; The Genoa Lottery; Buying Pastry; Combinations with Repetitions; The Soccer Tournament Revisited; Properties of Combinations; Special Case of the Inclusion and Exclusion Formula; Alternating Sums of Combinations; Chapter III. Combinatorial Problems with Restrictions; Lions and Tigers; Construction of a Staircase; A Bookshelf; Knights of the Round Table; A Girl Has a Date; A Telepathic Séance; Derangements SubfactorialsCaravan in the Desert; On the Merry-Go-Round; Queue at the Box Office; Problem of Two Rows; Additional Properties of Combinations; Chapter IV. Distributions and Partitions; A Domino Game; Putting Things in Boxes; A Bouquet; The Number of Divisors; Picking Apples; Picking Mushrooms; Sending Photographs; Flags on Masts; Count of All Signals; Various Statistics; Partitions of Numbers; Mailing of Printed Matter; The General Postage Problem; Combinatorial Problems in Information Theory; Problem of the University Applicant; Paying for a Purchase; Purchase of Candy; Getting Change (Unordered) Partitions of an IntegerUse of Graphs; Dual Graphs; Euler's Formula; Chapter V5. Combinatorics on a Chessboard; Walking in a Town; The Arithmetical Square; Figurate Numbers; Arithmetical Triangle; The Extended Arithmetical Triangle; Chess King; The Generalized Arithmetical Triangle; Generalized Arithmetical Triangles and Numbers to the Base m; Some Properties of the Numbers Cm(k, n); Checker in a Corner; The Arithmetical Pentagon; Geometric Proofs of Properties of Combinations; Random Walk; Brownian Motion; In the Realm of the Tsarina of Shemakhan; An Absorbing Wall Roaming on an Infinite PlaneThe General Rook Problem; Symmetric Arrangements; Two Knights; Chapter VI. Recurrence Relations; Fibonacci Numbers; Another Method of Proof; Successive Partitions; Multiplication and Division of Numbers; Polygon Problems; The Head Steward Faces a Difficulty; Lucky Bus Ticket Numbers; Recurrent Tables; Another Solution of the Problem of the Chief Steward; Solution of Recurrence Relations; Linear Recurrence Relations with Constant Coefficients; The Case of Equal Roots of the Characteristic Equation Application of the Theory of Recurrence Relations to Information Theory |
Record Nr. | UNINA-9910828238603321 |
Vilenkin N. I͡A (Naum I͡Akovlevich) | ||
New York, New York ; ; London, England : , : Academic Press, , 1971 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Geometric transformations . IV Circular transformations / / I.M. Yaglom ; translated by A. Shenitzer [[electronic resource]] |
Autore | I︠A︡glom I. M (Isaak Moiseevich), <1921-1988, > |
Pubbl/distr/stampa | Washington : , : Mathematical Association of America, , 2009 |
Descrizione fisica | 1 online resource (viii, 285 pages) : digital, PDF file(s) |
Disciplina | 511.3/3 |
Collana | Anneli Lax new mathematical library |
Soggetto topico | Inversions (Geometry) |
ISBN | 0-88385-958-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Reflections in a circle (inversion) -- Application of inversions to the solution of constructions -- Pencils of circles. The radical axis of two circles -- Inversion (concluding section) -- Axial circular transformations -- Non-Euclidean geometry of Lobachevskiĭ-Bolyai, or hyperbolic geometry -- Solutions. |
Altri titoli varianti | Circular transformations |
Record Nr. | UNINA-9910790364703321 |
I︠A︡glom I. M (Isaak Moiseevich), <1921-1988, > | ||
Washington : , : Mathematical Association of America, , 2009 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Geometric transformations . III / / by I.M. Yaglom ; translated from the Russian by A. Shenitzer [[electronic resource]] |
Autore | I︠A︡glom I. M (Isaak Moiseevich), <1921-1988, > |
Pubbl/distr/stampa | Washington : , : Mathematical Association of America, , 1973 |
Descrizione fisica | 1 online resource (viii, 237 pages) : digital, PDF file(s) |
Disciplina | 516.5 |
Collana | Anneli Lax new mathematical library |
Soggetto topico |
Geometry, Modern - Plane
Geometry Transformations (Mathematics) |
ISBN | 0-88385-939-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Contents -- Translator's Preface -- From the Author's Preface -- Introduction. What is Geometry? (Final Essay) -- Chapter I. Affine and Projective Transformations (Affinities and Projectivities) -- 1. Parallel projection of a plane onto a plane : Affine transformations of the plane -- 2. Central projection of a plane onto a plane : Projective transformations of a plane -- 3. Central projections which carry a circle into a circle: Stereographic projections -- 4. Reciprocation (polarity) of the plane : Principle of duality -- 5. Projective transformation of a line and a circle : Straightedge construction -- Supplement -- Non-Euclidean Geometry of Lobachevsky-Bolyai (Hyperbolic Geometry) -- Solutions -- Chapter One. Affine and projective transformations -- Supplement. Hyperbolic geometry. |
Altri titoli varianti | Geometric transformations 3 |
Record Nr. | UNINA-9910791742603321 |
I︠A︡glom I. M (Isaak Moiseevich), <1921-1988, > | ||
Washington : , : Mathematical Association of America, , 1973 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|