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A Pythagorean Introduction to Number Theory : Right Triangles, Sums of Squares, and Arithmetic / Ramin Takloo-Bighash
| A Pythagorean Introduction to Number Theory : Right Triangles, Sums of Squares, and Arithmetic / Ramin Takloo-Bighash |
| Autore | Takloo-Bighash, Ramin |
| Pubbl/distr/stampa | Cham, : Springer, 2018 |
| Descrizione fisica | xviii, 279 p. : ill. ; 24 cm |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
11A25 - Arithmetic functions; related numbers; inversion formulas [MSC 2020] 11H55 - Quadratic forms (reduction theory, extreme forms, etc.) [MSC 2020] 11D85 - Representation problems [MSC 2020] 11H06 - Lattices and convex bodies (number-theoretic aspects) [MSC 2020] |
| Soggetto non controllato |
Counting lattice points
Diophantine Equations Elementary number theory Fermat's theorem Four-squares theorem Gauss sums Number theory with SageMath Primes of the form 4k+1 Pythagorean theorem Pythagorean triples Quadratic forms and sums of squares Quadratic reciprocity |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0124515 |
Takloo-Bighash, Ramin
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| Cham, : Springer, 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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A Pythagorean Introduction to Number Theory : Right Triangles, Sums of Squares, and Arithmetic / Ramin Takloo-Bighash
| A Pythagorean Introduction to Number Theory : Right Triangles, Sums of Squares, and Arithmetic / Ramin Takloo-Bighash |
| Autore | Takloo-Bighash, Ramin |
| Pubbl/distr/stampa | Cham, : Springer, 2018 |
| Descrizione fisica | xviii, 279 p. : ill. ; 24 cm |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
11A25 - Arithmetic functions; related numbers; inversion formulas [MSC 2020] 11D85 - Representation problems [MSC 2020] 11H06 - Lattices and convex bodies (number-theoretic aspects) [MSC 2020] 11H55 - Quadratic forms (reduction theory, extreme forms, etc.) [MSC 2020] |
| Soggetto non controllato |
Counting lattice points
Diophantine Equations Elementary number theory Fermat's theorem Four-squares theorem Gauss sums Number theory with SageMath Primes of the form 4k+1 Pythagorean theorem Pythagorean triples Quadratic forms and sums of squares Quadratic reciprocity |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00124515 |
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Takloo-Bighash, Ramin
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| Cham, : Springer, 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Diffusion, quantum theory, and radically elementary mathematics / / edited by William G. Faris
| Diffusion, quantum theory, and radically elementary mathematics / / edited by William G. Faris |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2006 |
| Descrizione fisica | 1 online resource (257 p.) |
| Disciplina | 530.15 |
| Collana | Mathematical Notes |
| Soggetto topico |
Mathematical physics
Diffusion Quantum theory |
| Soggetto non controllato |
Affine space
Algebra Axiom Bell's theorem Brownian motion Central limit theorem Classical mathematics Classical mechanics Clifford algebra Combinatorial proof Commutative property Constructive quantum field theory Continuum hypothesis David Hilbert Dimension (vector space) Discrete mathematics Distribution (mathematics) Eigenfunction Equation Euclidean space Experimental mathematics Fermi–Dirac statistics Feynman–Kac formula First-order logic Fokker–Planck equation Foundations of mathematics Fractal dimension Gaussian process Girsanov theorem Gödel's incompleteness theorems Hilbert space Hilbert's program Holomorphic function Infinitesimal Integer Internal set theory Interval (mathematics) Limit (mathematics) Mathematical induction Mathematical optimization Mathematical physics Mathematical proof Mathematician Mathematics Measurable function Measure (mathematics) Minkowski space Natural number Neo-Riemannian theory Non-standard analysis Number theory Operator algebra Ornstein–Uhlenbeck process Orthonormal basis Perturbation theory (quantum mechanics) Philosophy of mathematics Predicate (mathematical logic) Probability measure Probability space Probability theory Probability Projection (linear algebra) Pure mathematics Pythagorean theorem Quantum field theory Quantum fluctuation Quantum gravity Quantum harmonic oscillator Quantum mechanics Quantum system Quantum teleportation Random variable Real number Renormalization group Renormalization Riemann mapping theorem Riemann surface Riemannian geometry Riemannian manifold Schrödinger equation Scientific notation Set (mathematics) Sign (mathematics) Sobolev inequality Special relativity Spectral theorem Spin (physics) Statistical mechanics Stochastic calculus Stochastic differential equation Tensor algebra Theorem Theoretical physics Theory Turing machine Variable (mathematics) Von Neumann algebra Wiener process Wightman axioms Zermelo–Fraenkel set theory |
| ISBN | 1-4008-6525-5 |
| Classificazione | 33.65 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter One. Introduction: Diffusive Motion and Where It Leads / Faris, William G. -- Chapter Two. Hypercontractivity, Logarithmic Sobolev Inequalities, and Applications: A Survey of Surveys / Gross, Leonard -- Chapter Three. Ed Nelson's Work in Quantum Theory / Simon, Barry -- Chapter Four Symanzik, Nelson, and Self-Avoiding Walk / Brydges, David C. -- Chapter Five. Stochastic Mechanics: A Look Back and a Look Ahead / Carlen, Eric -- Chapter Six. Current Trends in Optimal Transportation: A Tribute to Ed Nelson / Villani, Cédric -- Chapter Seven. Internal Set Theory and Infinitesimal Random Walks / Lawler, Gregory F. -- Chapter Eight. Nelson's Work on Logic and Foundations and Other Reflections on the Foundations of Mathematics / Buss, Samuel R. -- Chapter Nine. Some Musical Groups: Selected Applications of Group Theory in Music / Hook, Julian -- Chapter Ten. Afterword / Nelson, Edward -- Appendix A. Publications by Edward Nelson -- Index |
| Record Nr. | UNINA-9910786749603321 |
| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Diffusion, quantum theory, and radically elementary mathematics / / edited by William G. Faris
| Diffusion, quantum theory, and radically elementary mathematics / / edited by William G. Faris |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2006 |
| Descrizione fisica | 1 online resource (257 p.) |
| Disciplina | 530.15 |
| Collana | Mathematical Notes |
| Soggetto topico |
Mathematical physics
Diffusion Quantum theory |
| Soggetto non controllato |
Affine space
Algebra Axiom Bell's theorem Brownian motion Central limit theorem Classical mathematics Classical mechanics Clifford algebra Combinatorial proof Commutative property Constructive quantum field theory Continuum hypothesis David Hilbert Dimension (vector space) Discrete mathematics Distribution (mathematics) Eigenfunction Equation Euclidean space Experimental mathematics Fermi–Dirac statistics Feynman–Kac formula First-order logic Fokker–Planck equation Foundations of mathematics Fractal dimension Gaussian process Girsanov theorem Gödel's incompleteness theorems Hilbert space Hilbert's program Holomorphic function Infinitesimal Integer Internal set theory Interval (mathematics) Limit (mathematics) Mathematical induction Mathematical optimization Mathematical physics Mathematical proof Mathematician Mathematics Measurable function Measure (mathematics) Minkowski space Natural number Neo-Riemannian theory Non-standard analysis Number theory Operator algebra Ornstein–Uhlenbeck process Orthonormal basis Perturbation theory (quantum mechanics) Philosophy of mathematics Predicate (mathematical logic) Probability measure Probability space Probability theory Probability Projection (linear algebra) Pure mathematics Pythagorean theorem Quantum field theory Quantum fluctuation Quantum gravity Quantum harmonic oscillator Quantum mechanics Quantum system Quantum teleportation Random variable Real number Renormalization group Renormalization Riemann mapping theorem Riemann surface Riemannian geometry Riemannian manifold Schrödinger equation Scientific notation Set (mathematics) Sign (mathematics) Sobolev inequality Special relativity Spectral theorem Spin (physics) Statistical mechanics Stochastic calculus Stochastic differential equation Tensor algebra Theorem Theoretical physics Theory Turing machine Variable (mathematics) Von Neumann algebra Wiener process Wightman axioms Zermelo–Fraenkel set theory |
| ISBN | 1-4008-6525-5 |
| Classificazione | 33.65 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter One. Introduction: Diffusive Motion and Where It Leads / Faris, William G. -- Chapter Two. Hypercontractivity, Logarithmic Sobolev Inequalities, and Applications: A Survey of Surveys / Gross, Leonard -- Chapter Three. Ed Nelson's Work in Quantum Theory / Simon, Barry -- Chapter Four Symanzik, Nelson, and Self-Avoiding Walk / Brydges, David C. -- Chapter Five. Stochastic Mechanics: A Look Back and a Look Ahead / Carlen, Eric -- Chapter Six. Current Trends in Optimal Transportation: A Tribute to Ed Nelson / Villani, Cédric -- Chapter Seven. Internal Set Theory and Infinitesimal Random Walks / Lawler, Gregory F. -- Chapter Eight. Nelson's Work on Logic and Foundations and Other Reflections on the Foundations of Mathematics / Buss, Samuel R. -- Chapter Nine. Some Musical Groups: Selected Applications of Group Theory in Music / Hook, Julian -- Chapter Ten. Afterword / Nelson, Edward -- Appendix A. Publications by Edward Nelson -- Index |
| Record Nr. | UNINA-9910811911703321 |
| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Encounters with Euclid : how an ancient Greek geometry text shaped the world / / Benjamin Wardhaugh
| Encounters with Euclid : how an ancient Greek geometry text shaped the world / / Benjamin Wardhaugh |
| Autore | Wardhaugh Benjamin |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , [2021] |
| Descrizione fisica | 1 online resource (416 p.) : 34 b/w illus |
| Disciplina | 516.2 |
| Soggetto topico |
Geometry
Mathematics |
| Soggetto genere / forma | Early works. |
| Soggetto non controllato |
Alfred North Whitehead
Baruch Spinoza Bodleian Library Copernicus Edna St. Vincent Millay Euclidean geometry Galileo Galilei Galileo Hobbes Johannes Kepler Kepler Platonic solids Proclus Ptolemaic Egypt Pythagorean theorem Spinoza Thales' theorem Thomas Hobbes Vatican Library book history geometric algebra golden ratio great books history of math history of mathematics history of the book lemma logic mathematical proofs music theory parallel postulate perspective plane geometry prime numbers |
| ISBN | 0-691-21981-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Prologue -- I: AUTHOR -- Alexandria -- Elephantine -- Hypsicles -- Theon of Alexandria -- Stephanos the scribe -- Al-Hajjaj -- Adelard -- Erhard Ratdolt -- Marget Seymer her hand -- Edward Bernard -- Interlude -- II: SAGE -- Plato -- Proclus Diadochus -- Hroswitha of Gandersheim -- Rabbi Levi ben Gershom -- Christoph Clavius -- Xu Guangqi -- Blame not our author -- Baruch Spinoza -- Anne Lister -- Interlude -- III: HERO -- Petechonsis -- Dividing the monochord -- Hyginus -- Muhammad Abu al-Wafa al-Buzjani -- Lady Geometria -- Piero della Francesca -- Euclid Speidell -- Isaac Newton -- Interlude -- IV: SHADOW AND MASK -- Mary Fairfax -- François Peyrard -- Nicolai Ivanovich Lobachevskii -- Maggie and Tom -- Simson in Urdu -- His modern rivals -- Thomas Little Heath -- Max Ernst -- Euclidean designs -- Lambda -- Epilogue -- Acknowledgements -- Image Credits -- Notes on Sources -- Select Bibliography -- Index |
| Record Nr. | UNINA-9910554265903321 |
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Wardhaugh Benjamin
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| Princeton, New Jersey : , : Princeton University Press, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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