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Titre : Almost periodic functions Type de document : texte imprimé Auteurs : Besicovitch, Abram Samoilovitch, Auteur Editeur : New York : Dover publications Année de publication : 1954 Importance : XIII-180 p. Format : 20 cm Note générale : Bibliogr. p. [179]-180. Index Langues : Anglais (eng) Mots-clés : Almost periodic functions
Fourier series
Harmonic analysisIndex. décimale : 517.5 Théorie des fonctions Résumé : The first portion of this book establishes theorems of uniformly a. p. functions, including Bohr's original work, and de la Vallée Poussin's ingenious short proof based on classical theory of purely periodic functions. It considers such matters as summation of Fourier series of u.a.p functions by partial sums, the brochner-Fejer summation of u.a.p. functions, particular cases of Fourier series, and u.a.p. functions of two variables.
The second portion of this work covers generalizations and extensions of the original theory, discussing relaxation of continuity restriction, auxiliary theorems and formulae, the Parseval equation and the Riesc-Fischer theorem, and similar matters. The third chapter discusses analytic a.p. functions, including results.Note de contenu : In summary :
1. Uniformly almost periodic functiond
2. Generalisation of almost periodic functions
3. Analytic almost periodic functionsAlmost periodic functions [texte imprimé] / Besicovitch, Abram Samoilovitch, Auteur . - New York : Dover publications, 1954 . - XIII-180 p. ; 20 cm.
Bibliogr. p. [179]-180. Index
Langues : Anglais (eng)
Mots-clés : Almost periodic functions
Fourier series
Harmonic analysisIndex. décimale : 517.5 Théorie des fonctions Résumé : The first portion of this book establishes theorems of uniformly a. p. functions, including Bohr's original work, and de la Vallée Poussin's ingenious short proof based on classical theory of purely periodic functions. It considers such matters as summation of Fourier series of u.a.p functions by partial sums, the brochner-Fejer summation of u.a.p. functions, particular cases of Fourier series, and u.a.p. functions of two variables.
The second portion of this work covers generalizations and extensions of the original theory, discussing relaxation of continuity restriction, auxiliary theorems and formulae, the Parseval equation and the Riesc-Fischer theorem, and similar matters. The third chapter discusses analytic a.p. functions, including results.Note de contenu : In summary :
1. Uniformly almost periodic functiond
2. Generalisation of almost periodic functions
3. Analytic almost periodic functionsRéservation
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Titre : An elementary introduction to the theory of probability Type de document : texte imprimé Auteurs : Gnedenko, Boris Vladimirovic, Auteur ; Aleksandr Yakovlevich Khinchin (1894-1959), Auteur ; Boron, Leo Francis, Traducteur Editeur : New York : Dover publications Année de publication : 1962 Importance : XII, 130 p. Présentation : ill. Format : 21 cm ISBN/ISSN/EAN : 978-0-486-60155-7 Note générale : Bibliogr. p. 125-127. - Index Langues : Anglais (eng) Mots-clés : Probabilities Index. décimale : 519.2 Probabilités. Statistique mathématique Résumé : This compact volume equips the reader with all the facts and principles essential to a fundamental understanding of the theory of probability. It is an introduction, no more: throughout the book the authors discuss the theory of probability for situations having only a finite number of possibilities, and the mathematics employed is held to the elementary level. But within its purposely restricted range it is extremely thorough, well organized, and absolutely authoritative. It is the only English translation of the latest revised Russian edition; and it is the only current translation on the market that has been checked and approved by Gnedenko himself. After explaining in simple terms the meaning of the concept of probability and the means by which an event is declared to be in practice, impossible, the authors take up the processes involved in the calculation of probabilities. They survey the rules for addition and multiplication of probabilities, the concept of conditional probability, the formula for total probability, Bayes's formula, Bernoulli's scheme and theorem, the concepts of random variables, insufficiency of the mean value for the characterization of a random variable, methods of measuring the variance of a random variable, theorems on the standard deviation, the Chebyshev inequality, normal laws of distribution, distribution curves, properties of normal distribution curves, and related topics. The book is unique in that, while there are several high school and college textbooks available on this subject, there is no other popular treatment for the layman that contains quite the same material presented with the same degree of clarity and authenticity. Anyone who desires a fundamental grasp of this increasingly important subject cannot do better than to start with this book. Note de contenu : In summary :
I. Probabilities
1. The probability of an event
2. Rule for the addition of probabilities
3. Conditional probabilitie and the multiplication rules
4. Consequences of the addition and multiplication rules
5. Bernoulli's scheme
6. Bernoulli's theorem
II. Random variations
7. Random variables and distribution laws
8. Mean values
9. Mean value of a sum and of a product
10. Dispersion and mean deviations
11. Law of large numbers
12. Normal lawsAn elementary introduction to the theory of probability [texte imprimé] / Gnedenko, Boris Vladimirovic, Auteur ; Aleksandr Yakovlevich Khinchin (1894-1959), Auteur ; Boron, Leo Francis, Traducteur . - New York : Dover publications, 1962 . - XII, 130 p. : ill. ; 21 cm.
ISBN : 978-0-486-60155-7
Bibliogr. p. 125-127. - Index
Langues : Anglais (eng)
Mots-clés : Probabilities Index. décimale : 519.2 Probabilités. Statistique mathématique Résumé : This compact volume equips the reader with all the facts and principles essential to a fundamental understanding of the theory of probability. It is an introduction, no more: throughout the book the authors discuss the theory of probability for situations having only a finite number of possibilities, and the mathematics employed is held to the elementary level. But within its purposely restricted range it is extremely thorough, well organized, and absolutely authoritative. It is the only English translation of the latest revised Russian edition; and it is the only current translation on the market that has been checked and approved by Gnedenko himself. After explaining in simple terms the meaning of the concept of probability and the means by which an event is declared to be in practice, impossible, the authors take up the processes involved in the calculation of probabilities. They survey the rules for addition and multiplication of probabilities, the concept of conditional probability, the formula for total probability, Bayes's formula, Bernoulli's scheme and theorem, the concepts of random variables, insufficiency of the mean value for the characterization of a random variable, methods of measuring the variance of a random variable, theorems on the standard deviation, the Chebyshev inequality, normal laws of distribution, distribution curves, properties of normal distribution curves, and related topics. The book is unique in that, while there are several high school and college textbooks available on this subject, there is no other popular treatment for the layman that contains quite the same material presented with the same degree of clarity and authenticity. Anyone who desires a fundamental grasp of this increasingly important subject cannot do better than to start with this book. Note de contenu : In summary :
I. Probabilities
1. The probability of an event
2. Rule for the addition of probabilities
3. Conditional probabilitie and the multiplication rules
4. Consequences of the addition and multiplication rules
5. Bernoulli's scheme
6. Bernoulli's theorem
II. Random variations
7. Random variables and distribution laws
8. Mean values
9. Mean value of a sum and of a product
10. Dispersion and mean deviations
11. Law of large numbers
12. Normal lawsRéservation
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Titre : An elementary treatise on elliptic functions Type de document : texte imprimé Auteurs : Arthur Cayley, Auteur Mention d'édition : 2nd ed Editeur : New York : Dover publications Année de publication : 1961 Importance : XII,386, [15] p. Présentation : ill. Format : 20 cm Note générale : Index Langues : Anglais (eng) Mots-clés : Fonctions elliptiques
Functions, EllipticIndex. décimale : 517.7 Fonctions elliptiques avec leur applications Note de contenu : In summary :
1. General outline.
2. The addition-equation. Landen's theorem.
3. Miscellaneous investigations.
4. On the elliptic functions sn, cn, dn.
5. The three kinds of elliptic integrals.
6. The functions II (u, a), Zu, Ou, Hu.
7. Transformation. General outline.
8. The quadric transformation n=2; and the odd-prime transformations n=3,5,7. Properties of the modular equation and the multiplier.An elementary treatise on elliptic functions [texte imprimé] / Arthur Cayley, Auteur . - 2nd ed . - New York : Dover publications, 1961 . - XII,386, [15] p. : ill. ; 20 cm.
Index
Langues : Anglais (eng)
Mots-clés : Fonctions elliptiques
Functions, EllipticIndex. décimale : 517.7 Fonctions elliptiques avec leur applications Note de contenu : In summary :
1. General outline.
2. The addition-equation. Landen's theorem.
3. Miscellaneous investigations.
4. On the elliptic functions sn, cn, dn.
5. The three kinds of elliptic integrals.
6. The functions II (u, a), Zu, Ou, Hu.
7. Transformation. General outline.
8. The quadric transformation n=2; and the odd-prime transformations n=3,5,7. Properties of the modular equation and the multiplier.Réservation
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Code-barres Cote Support Localisation Section Disponibilité Etat_Exemplaire 015324 517.7 CAY Papier Bibliothèque Centrale Mathématiques Disponible Consultation sur place
Titre : Analysis and design of experiments Type de document : texte imprimé Auteurs : Mann, Henry Berthold, Auteur Editeur : New York : Dover publications Année de publication : 1949 Importance : X-195 p. Format : 20 cm Note générale : Index Langues : Anglais (eng) Mots-clés : Statistics (Mathematics) Index. décimale : 517 Analyse mathématique Note de contenu : In summary :
1. Chi-square distribution and analysis of variance distribution
2. Matrices, quadratic forms and the multivariate normal distribution
3. Analysis of variance in a one way classification
4. Likelihood ratio tests and tests of linear hypotheses
5. Analysis of variance in r-way classification design
6. The power of analysis of variance tests
7. Latin squares and incomplete balanced block designs
8. Galois field and orthogonal latin squares
9. The construction of incomplete balanced block designs
10. Non-orthogonal data
....Analysis and design of experiments [texte imprimé] / Mann, Henry Berthold, Auteur . - New York : Dover publications, 1949 . - X-195 p. ; 20 cm.
Index
Langues : Anglais (eng)
Mots-clés : Statistics (Mathematics) Index. décimale : 517 Analyse mathématique Note de contenu : In summary :
1. Chi-square distribution and analysis of variance distribution
2. Matrices, quadratic forms and the multivariate normal distribution
3. Analysis of variance in a one way classification
4. Likelihood ratio tests and tests of linear hypotheses
5. Analysis of variance in r-way classification design
6. The power of analysis of variance tests
7. Latin squares and incomplete balanced block designs
8. Galois field and orthogonal latin squares
9. The construction of incomplete balanced block designs
10. Non-orthogonal data
....Réservation
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Code-barres Cote Support Localisation Section Disponibilité Etat_Exemplaire 015159 517 MAN Papier Bibliothèque Annexe Mathématiques Disponible Consultation sur place
Titre : Analytic and vector mechanics Type de document : texte imprimé Auteurs : Hiram Wheeler Edwards,, Auteur Editeur : New York : Dover publications Année de publication : 1933 Importance : X, 428 p Présentation : ill. Format : 22 cm. Note générale : Index Langues : Anglais (eng) Mots-clés : Mécanique analytique
Analyse vectorielleIndex. décimale : 517.93 Équations différentielles particulières. Systèmes de mécanique analytique, de contrôle automatique, d'opérateurs. Systèmes dynamique Résumé : Analytic and Vector Mechanics
By Hiram W. Edwards
From both the mathematical and physical points of view, this book is one of the most careful and intelligible introductions to mechanics on the market. Presupposing only a knowledge of calculus and of elementary concepts of physics, it is a pellucid intermediate-level account which can serve students as a fine course text in me-chanics or as supplementary reading for purposes of getting a clearer view of spe-cific topics.
The book is distinguished throughout by the special care Professor Edwards takes in his exposition of concepts and the mathematics involved. The first four chapters fur-nish particularly lucid accounts of fundamental topics, such as linear velocity, accel-eration, coordinate systems, vectors, angular velocity, etc. The author then takes up harmonic motion (including Lissajous curves, Fourier series, etc.), inertia and mass, and basic equations (force, work, impulse, etc.). Chapters also deal with statics, forces of attraction and potential, central forces and Kepler's laws, damped harmonic motion, and motion of a particle in fluids with resistance.
A discussion of vector fields takes into account the Gauss integral, Poisson's and Laplace's equations, the curl of a vector, and Stokes's theorem. The book continues with an examination of problems illustrating fundamental principles (the rolling cyl-inder, falling rod, swinging bar, sliding sphere, and so forth), the general motion of a rigid body (including Euler's equation and precessional motion), and a number of other general principles such as D'Alembert's principle, Lagrange's equations, and Hamilton's principle. One of the valuable features of this work is the wealth of suggestions and concrete illustrations needed for future study in the field.
The book employs vector methods extensively, but usually supplements them with the more familiar scalar treatments. Not only does this approach give the student a better understanding of mechanics and enable him to handle problems analytically, but it lays the groundwork for advanced work in which vector methods are com-monly used.
Note de contenu : Summary:
1. Velocity
2. Vector
3. Angular velocity
4. Acceleration
5. Harmonic montion
6. Inertia and mass
7. The fundamental equations in translation
8. The dynamical equations for pure rotation
9. Statics
10. Forces of attraction and potential
11. Central forces
12. Motion of particle in fluides with resistance
13. Dumped harmonic motion
14. Vector fields
15. Problems Illustrating the fundamental principles
16. General motion of a rigid body
17. Other general principles
Analytic and vector mechanics [texte imprimé] / Hiram Wheeler Edwards,, Auteur . - New York : Dover publications, 1933 . - X, 428 p : ill. ; 22 cm.
Index
Langues : Anglais (eng)
Mots-clés : Mécanique analytique
Analyse vectorielleIndex. décimale : 517.93 Équations différentielles particulières. Systèmes de mécanique analytique, de contrôle automatique, d'opérateurs. Systèmes dynamique Résumé : Analytic and Vector Mechanics
By Hiram W. Edwards
From both the mathematical and physical points of view, this book is one of the most careful and intelligible introductions to mechanics on the market. Presupposing only a knowledge of calculus and of elementary concepts of physics, it is a pellucid intermediate-level account which can serve students as a fine course text in me-chanics or as supplementary reading for purposes of getting a clearer view of spe-cific topics.
The book is distinguished throughout by the special care Professor Edwards takes in his exposition of concepts and the mathematics involved. The first four chapters fur-nish particularly lucid accounts of fundamental topics, such as linear velocity, accel-eration, coordinate systems, vectors, angular velocity, etc. The author then takes up harmonic motion (including Lissajous curves, Fourier series, etc.), inertia and mass, and basic equations (force, work, impulse, etc.). Chapters also deal with statics, forces of attraction and potential, central forces and Kepler's laws, damped harmonic motion, and motion of a particle in fluids with resistance.
A discussion of vector fields takes into account the Gauss integral, Poisson's and Laplace's equations, the curl of a vector, and Stokes's theorem. The book continues with an examination of problems illustrating fundamental principles (the rolling cyl-inder, falling rod, swinging bar, sliding sphere, and so forth), the general motion of a rigid body (including Euler's equation and precessional motion), and a number of other general principles such as D'Alembert's principle, Lagrange's equations, and Hamilton's principle. One of the valuable features of this work is the wealth of suggestions and concrete illustrations needed for future study in the field.
The book employs vector methods extensively, but usually supplements them with the more familiar scalar treatments. Not only does this approach give the student a better understanding of mechanics and enable him to handle problems analytically, but it lays the groundwork for advanced work in which vector methods are com-monly used.
Note de contenu : Summary:
1. Velocity
2. Vector
3. Angular velocity
4. Acceleration
5. Harmonic montion
6. Inertia and mass
7. The fundamental equations in translation
8. The dynamical equations for pure rotation
9. Statics
10. Forces of attraction and potential
11. Central forces
12. Motion of particle in fluides with resistance
13. Dumped harmonic motion
14. Vector fields
15. Problems Illustrating the fundamental principles
16. General motion of a rigid body
17. Other general principles
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