Proofs from THE BOOK [[electronic resource] /] / by Martin Aigner, Günter M. Ziegler |
Autore | Aigner Martin |
Edizione | [6th ed. 2018.] |
Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2018 |
Descrizione fisica | 1 online resource (VIII, 326 p.) |
Disciplina | 515 |
Soggetto topico |
Number theory
Geometry Mathematical analysis Analysis (Mathematics) Combinatorics Graph theory Computer science—Mathematics Number Theory Analysis Graph Theory Mathematics of Computing |
ISBN | 3-662-57265-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Number Theory: 1. Six proofs of the infinity of primes -- 2. Bertrand’s postulate -- 3. Binomial coefficients are (almost) never powers -- 4. Representing numbers as sums of two squares -- 5. The law of quadratic reciprocity -- 6. Every finite division ring is a field -- 7. The spectral theorem and Hadamard’s determinant problem -- 8. Some irrational numbers -- 9. Three times π2/6 -- Geometry: 10. Hilbert’s third problem: decomposing polyhedral -- 11. Lines in the plane and decompositions of graphs -- 12. The slope problem -- 13. Three applications of Euler’s formula -- 14. Cauchy’s rigidity theorem -- 15. The Borromean rings don’t exist -- 16. Touching simplices -- 17. Every large point set has an obtuse angle -- 18. Borsuk’s conjecture -- Analysis: 19. Sets, functions, and the continuum hypothesis -- 20. In praise of inequalities -- 21. The fundamental theorem of algebra -- 22. One square and an odd number of triangles -- 23. A theorem of Pólya on polynomials -- 24. Van der Waerden's permanent conjecture -- 25. On a lemma of Littlewood and Offord -- 26. Cotangent and the Herglotz trick -- 27. Buffon’s needle problem -- Combinatorics: 28. Pigeon-hole and double counting -- 29. Tiling rectangles -- 30. Three famous theorems on finite sets -- 31. Shuffling cards -- 32. Lattice paths and determinants -- 33. Cayley’s formula for the number of trees -- 34. Identities versus bijections -- 35. The finite Kakeya problem -- 36. Completing Latin squares -- Graph Theory: 37. Permanents and the power of entropy -- 38. The Dinitz problem -- 39. Five-coloring plane graphs -- 40. How to guard a museum -- 41. Turán’s graph theorem -- 42. Communicating without errors -- 43. The chromatic number of Kneser graphs -- 44. Of friends and politicians -- 45. Probability makes counting (sometimes) easy -- About the Illustrations -- Index. |
Record Nr. | UNINA-9910300117703321 |
Aigner Martin
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2018 | ||
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Lo trovi qui: Univ. Federico II | ||
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Proofs from THE BOOK [[electronic resource] /] / by Martin Aigner, Günter M. Ziegler |
Autore | Aigner Martin |
Edizione | [5th ed. 2014.] |
Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2014 |
Descrizione fisica | 1 online resource (VIII, 308 p. 255 illus., 9 illus. in color.) |
Disciplina | 510 |
Soggetto topico |
Mathematics
Number theory Geometry Combinatorics Mathematical analysis Analysis (Mathematics) Computer science Mathematics, general Number Theory Analysis Computer Science, general |
ISBN | 3-662-44205-1 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Number Theory: 1. Six proofs of the infinity of primes -- 2. Bertrand’s postulate -- 3. Binomial coefficients are (almost) never powers -- 4. Representing numbers as sums of two squares -- 5. The law of quadratic reciprocity -- 6. Every finite division ring is a field -- 7. The spectral theorem and Hadamard’s determinant problem -- 8. Some irrational numbers -- 9. Three times π2/6 -- Geometry: 10. Hilbert’s third problem: decomposing polyhedral -- 11. Lines in the plane and decompositions of graphs -- 12. The slope problem -- 13. Three applications of Euler’s formula -- 14. Cauchy’s rigidity theorem -- 15. The Borromean rings don’t exist -- 16. Touching simplices -- 17. Every large point set has an obtuse angle -- 18. Borsuk’s conjecture -- Analysis: 19. Sets, functions, and the continuum hypothesis -- 20. In praise of inequalities -- 21. The fundamental theorem of algebra -- 22. One square and an odd number of triangles -- 23. A theorem of Pólya on polynomials -- 24. On a lemma of Littlewood and Offord -- 25. Cotangent and the Herglotz trick -- 26. Buffon’s needle problem -- Combinatorics: 27. Pigeon-hole and double counting -- 28. Tiling rectangles -- 29. Three famous theorems on finite sets -- 30. Shuffling cards -- 31. Lattice paths and determinants -- 32. Cayley’s formula for the number of trees -- 33. Identities versus bijections -- 34. The finite Kakeya problem -- 35. Completing Latin squares -- Graph Theory: 36. The Dinitz problem -- 37. Permanents and the po wer of entropy -- 38. Five-coloring plane graphs -- 39. How to guard a museum -- 40. Turán’s graph theorem -- 41. Communicating without errors -- 42. The chromatic number of Kneser graphs -- 43. Of friends and politicians -- 44. Probability makes counting (sometimes) easy -- About the Illustrations -- Index. |
Record Nr. | UNINA-9910299988603321 |
Aigner Martin
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2014 | ||
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Lo trovi qui: Univ. Federico II | ||
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Proofs from the Book [[electronic resource] ] : Edizione italiana a cura di Alfio Quarteroni / / by Martin Aigner, Günter Ziegler |
Autore | Aigner Martin |
Edizione | [1st ed. 2006.] |
Pubbl/distr/stampa | Milano : , : Springer Milan : , : Imprint : Springer, , 2006 |
Descrizione fisica | 1 online resource (280 p.) |
Disciplina | 510 |
Soggetto topico |
Mathematics
Algebra Combinatorics Geometry Number theory Probabilities Mathematics, general Number Theory Probability Theory and Stochastic Processes |
ISBN | 88-470-0451-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | ita |
Nota di contenuto | Teoria dei Numeri -- I numeri primi sono infiniti: Sei dimostrazioni -- Il postulato di Bertrand -- I coefficienti binomiali non sono (quasi) mai potenze -- Rappresentazione di numeri come somme di due quadrati -- Ogni corpo finito è un campo -- Alcuni numeri irrazionali -- Tre volte ? 2/6 -- Geometria -- Il terzo problema di Hilbert: la scomposizione di poliedri -- Rette nel piano e scomposizioni di grafi -- Il problema delle pendenze -- Tre applicazioni della formula di Eulero -- Il teorema di rigidità di Cauchy -- Simplessi contigui -- Ogni insieme grande di punti determina un angolo ottuso -- La congettura di Borsuk -- Analisi -- Insiemi, funzioni e l’ipotesi del continuo -- Elogio delle disuguaglianze -- Un teorema di Pólya sui polinomi -- Su un lemma di Littlewood e Offord -- La funzione cotangente e il trucco di Herglotz -- Il problema dell’ago di Buffon -- Calcolo Combinatorio -- Il principio del casellario e la conta doppia -- Tre celebri teoremi sugli insiemi finiti -- Mescolare le carte -- Cammini su reticoli e determinanti -- La formula di Cayley per il numero di alberi -- Completando i quadrati latini -- Il problema di Dinitz -- Identità contro biiezioni -- Teoria dei Grafi -- Colorazione di grafi piani con cinque colori -- Come sorvegliare un museo -- Il teorema dei grafi di Turán -- Comunicare senza errori -- Di amici e politici -- Le probabilità semplificano (talvolta) il contare. |
Record Nr. | UNINA-9910484438003321 |
Aigner Martin
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Milano : , : Springer Milan : , : Imprint : Springer, , 2006 | ||
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Lo trovi qui: Univ. Federico II | ||
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Prospects in complex geometry : proceedings of the 25th Taniguchi International Symposium held in Katata, and the conference held in Kyoto, July 31-August 9, 1989 / / J. Noguchi, T. Ohsawa, editors |
Edizione | [1st ed. 1991.] |
Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer-Verlag, , [1991] |
Descrizione fisica | 1 online resource (VI, 126 p.) |
Disciplina | 516.36 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Geometry, Differential
Functions of several complex variables Geometry |
ISBN | 3-540-47370-X |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Hyperkähler structure on the moduli space of flat bundles -- Hardy spaces and BMO on Riemann surfaces -- Application of a certain integral formula to complex analysis -- On inner radii of Teichmüller spaces -- On the causal structures of the silov boundaries of symmetric bounded domains -- The behavior of the extremal length function on arbitrary Riemann surface -- A strong harmonic representation theorem on complex spaces with isolated singularities -- Mordell-Weil lattices of type E8 and deformation of singularities -- The spectrum of a Riemann surface with a cusp -- Moduli spaces of harmonic and holomorphic mappings and diophantine geometry -- Global nondeformability of the complex projective space -- Some aspects of hodge theory on non-complete algebraic manifolds -- Lp-Cohomology and satake compactifications -- Harmonic maps and Kähler geometry -- Complex-analyticity of pluriharmonic maps and their constructions -- Higher eichler integrals and vector bundles over the moduli of spinned Riemann surfaces. |
Record Nr. | UNISA-996466474903316 |
Berlin, Heidelberg : , : Springer-Verlag, , [1991] | ||
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Lo trovi qui: Univ. di Salerno | ||
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Punctual Hilbert Schemes [[electronic resource]] |
Autore | Iarrobino Anthony A |
Pubbl/distr/stampa | Providence, : American Mathematical Society, 2005 |
Descrizione fisica | 1 online resource (123 p.) |
Disciplina | 512/.33 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Hilbert schemes
Ideals (Algebra) Power series rings Mathematics Physical Sciences & Mathematics Geometry Mathematical Theory Algebra |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0054-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""TABLE OF CONTENTS""; ""CHAPTER 1. A STRATIFICATION OF THE HILBERT SCHEME""; ""1A. Summary""; ""1B. Standard Generators for an Ideal in R when char k = 0""; ""CHAPTER 2. Z[sub(T)] AND G[sub(T)] IN THE CASE char k = 0""; ""CHAPTER 3. Z[sub(T)] AND G[sub(T)] WHEN char k = p""; ""3A. Every Ideal has a Normal Pattern: Z[sub(T)] and G[sub(T)] when r = 2, char k > |T|""; ""3B. Low Characteristics, char k < |T|; Weak-Normal Patterns""; ""CHAPTER 4. VECTOR SPACES OF FORM, LOCAL PARAMETERS ON THE HILBERT SCHEME""; ""4A. Normal Presentations""; ""4B. Vector Spaces of Forms"" |
Record Nr. | UNINA-9910480050103321 |
Iarrobino Anthony A
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Providence, : American Mathematical Society, 2005 | ||
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Lo trovi qui: Univ. Federico II | ||
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Punctual Hilbert Schemes [[electronic resource]] |
Autore | Iarrobino Anthony A |
Pubbl/distr/stampa | Providence, : American Mathematical Society, 2005 |
Descrizione fisica | 1 online resource (123 p.) |
Disciplina | 512/.33 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Hilbert schemes
Ideals (Algebra) Power series rings Mathematics Physical Sciences & Mathematics Geometry Mathematical Theory Algebra |
ISBN | 1-4704-0054-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""TABLE OF CONTENTS""; ""CHAPTER 1. A STRATIFICATION OF THE HILBERT SCHEME""; ""1A. Summary""; ""1B. Standard Generators for an Ideal in R when char k = 0""; ""CHAPTER 2. Z[sub(T)] AND G[sub(T)] IN THE CASE char k = 0""; ""CHAPTER 3. Z[sub(T)] AND G[sub(T)] WHEN char k = p""; ""3A. Every Ideal has a Normal Pattern: Z[sub(T)] and G[sub(T)] when r = 2, char k > |T|""; ""3B. Low Characteristics, char k < |T|; Weak-Normal Patterns""; ""CHAPTER 4. VECTOR SPACES OF FORM, LOCAL PARAMETERS ON THE HILBERT SCHEME""; ""4A. Normal Presentations""; ""4B. Vector Spaces of Forms"" |
Record Nr. | UNINA-9910788609803321 |
Iarrobino Anthony A
![]() |
||
Providence, : American Mathematical Society, 2005 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Punctual Hilbert Schemes [[electronic resource]] |
Autore | Iarrobino Anthony A |
Pubbl/distr/stampa | Providence, : American Mathematical Society, 2005 |
Descrizione fisica | 1 online resource (123 p.) |
Disciplina | 512/.33 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Hilbert schemes
Ideals (Algebra) Power series rings Mathematics Physical Sciences & Mathematics Geometry Mathematical Theory Algebra |
ISBN | 1-4704-0054-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""TABLE OF CONTENTS""; ""CHAPTER 1. A STRATIFICATION OF THE HILBERT SCHEME""; ""1A. Summary""; ""1B. Standard Generators for an Ideal in R when char k = 0""; ""CHAPTER 2. Z[sub(T)] AND G[sub(T)] IN THE CASE char k = 0""; ""CHAPTER 3. Z[sub(T)] AND G[sub(T)] WHEN char k = p""; ""3A. Every Ideal has a Normal Pattern: Z[sub(T)] and G[sub(T)] when r = 2, char k > |T|""; ""3B. Low Characteristics, char k < |T|; Weak-Normal Patterns""; ""CHAPTER 4. VECTOR SPACES OF FORM, LOCAL PARAMETERS ON THE HILBERT SCHEME""; ""4A. Normal Presentations""; ""4B. Vector Spaces of Forms"" |
Record Nr. | UNINA-9910812520803321 |
Iarrobino Anthony A
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Providence, : American Mathematical Society, 2005 | ||
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Lo trovi qui: Univ. Federico II | ||
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The purchasers pattern [[electronic resource] ] : much enlarged. The first part. Shewing the true value of land or houses, by lease, or otherwise. Whereunto is added many rules for the valuing of the ruined foundations in the city of London, and for the composing of differences between landlord and tenant about rebuilding them: also rules and tables for the valuing of all party-walls. Also tables of interest and rebate at 6 percent. The second part. Shews the measuring of land, board, timber, &c. correcting the false ways used by many therein. Also the art of gauging much enlarged, shewing not only the measuring of wine, beer, and alevessels, but also the gauging of all manner of brewers tuns. With tables of the excise of beer and ale. Also many other rules and tables of weights and measures, forreign and domestic, tables of accounts, expences, &c. being of daily use for most men: the sixth edition; by Henry Phillips |
Autore | Phillippes Henry <d. 1677?> |
Pubbl/distr/stampa | London, : printed for Thomas Burrel at his shop under St. Dunstans Church in Fleet-street, 1670 |
Descrizione fisica | [26], 19-22, [8], 23-24, [8], 259 p. : ill., tables; |
Soggetto topico |
Mensuration
Handbooks, vade-mecums, etc Geometry |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISA-996389957803316 |
Phillippes Henry <d. 1677?>
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London, : printed for Thomas Burrel at his shop under St. Dunstans Church in Fleet-street, 1670 | ||
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Lo trovi qui: Univ. di Salerno | ||
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The purchasers pattern [[electronic resource] ] : Shewing the true value of any purchase of land or houses, by lease or otherwise. Also new tables of interest, after the rate of six per cent. with a moderate discourse of usury. With some brief rules of measuring board, timber and land, and many other tables of daily use and profit to most men. By Henry Phillippes |
Autore | Phillippes Henry <d. 1677?> |
Pubbl/distr/stampa | London, : printed by R.W. Leybourn, for T. Pierrepont, at the Sun in Pauls Church-yard, 1654 |
Descrizione fisica | [16], 104 p |
Soggetto topico |
Mensuration
Handbooks, vade-mecums, etc Geometry |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISA-996386559903316 |
Phillippes Henry <d. 1677?>
![]() |
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London, : printed by R.W. Leybourn, for T. Pierrepont, at the Sun in Pauls Church-yard, 1654 | ||
![]() | ||
Lo trovi qui: Univ. di Salerno | ||
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The purchasers pattern [[electronic resource] ] : In two parts, containing. I. The true value of any purchase of land or houses by lease or otherwise: also, a moderate discourse of usury. With many observations, and tables of intrest and rebatement. II. The true measuring of land, board, timber, and gauging of cask: and discovering the false rules and deceits which are used by many therein. With many other rules and tables of daily use for most men. The second edition corrected and enlarged. By Hen. Philippes |
Autore | Phillippes Henry <d. 1677?> |
Pubbl/distr/stampa | London, : Printed by R. & W. Leybourn, for T. Pierrepont, at the Sun in Pauls Church-yard, 1654 |
Descrizione fisica | [22], 288 p. : ill., tables |
Soggetto topico |
Mensuration
Handbooks, vade-mecums, etc Geometry |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISA-996396582003316 |
Phillippes Henry <d. 1677?>
![]() |
||
London, : Printed by R. & W. Leybourn, for T. Pierrepont, at the Sun in Pauls Church-yard, 1654 | ||
![]() | ||
Lo trovi qui: Univ. di Salerno | ||
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