1985, ISBN: 0387962360
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1984, ISBN: 9780387962368
During the academic year 1916-1917 I had the good fortune to be a student of the great mathematician and distinguished teacher Adolf Hurwitz, and to attend his lectures on the Theory of F… Mehr…
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ISBN: 9780387962368
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1985, ISBN: 0387962360
[EAN: 9780387962368], Neubuch, [PU: Springer New York Dez 1985], PRIME; PRIMENUMBER; CALCULUS; CONTINUEDFRACTION; NUMBERTHEORY, This item is printed on demand - it takes 3-4 days longer -… Mehr…
2012, ISBN: 9780387962368
[ED: Taschenbuch], [PU: Springer New York], Neuware - During the academic year 1916-1917 I had the good fortune to be a student of the great mathematician and distinguished teacher Adolf … Mehr…
ISBN: 9780387962368
During the academic year 1916-1917 I had the good fortune to be a student of the great mathematician and distinguished teacher Adolf Hurwitz, and to attend his lectures on the Theory of F… Mehr…
1984, ISBN: 9780387962368
During the academic year 1916-1917 I had the good fortune to be a student of the great mathematician and distinguished teacher Adolf Hurwitz, and to attend his lectures on the Theory of F… Mehr…
ISBN: 9780387962368
During the academic year 1916-1917 I had the good fortune to be a student of the great mathematician and distinguished teacher Adolf Hurwitz, and to attend his lectures on the Theory of F… Mehr…
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Detailangaben zum Buch - Lectures on Number Theory Adolf Hurwitz Author
EAN (ISBN-13): 9780387962368
ISBN (ISBN-10): 0387962360
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 1986
Herausgeber: Springer New York Core >1 >T
Buch in der Datenbank seit 2007-06-30T09:57:47+02:00 (Berlin)
Detailseite zuletzt geändert am 2024-04-06T04:52:13+02:00 (Berlin)
ISBN/EAN: 9780387962368
ISBN - alternative Schreibweisen:
0-387-96236-0, 978-0-387-96236-8
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: adolf hurwitz, adolf may, adolf just, william schulz, minkowski, adolf born, klein felix, kummer adolf, hildesheim, frobenius nikolai
Titel des Buches: lectures theory number theory
Daten vom Verlag:
Autor/in: Adolf Hurwitz
Titel: Universitext; Lectures on Number Theory
Verlag: Springer; Springer US
273 Seiten
Erscheinungsjahr: 1985-12-12
New York; NY; US
Übersetzer/in: William C. Schulz
Sprache: Englisch
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
Available
XIV, 273 p.
BC; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Zahlentheorie; Verstehen; Prime; Prime number; calculus; continued fraction; number theory; Number Theory; EA
1. Basic Concepts and Propositions.- 1. The Principle of Descent.- 2. Divisibility and the Division Algorithm.- 3. Prime Numbers.- 4. Analysis of a Composite Number into a Product of Primes.- 5. Divisors of a Natural Number n, Perfect Numbers.- 6. Common Divisors and Common Multiples of two or more Natural Number.- 7. An Alternate Foundation of the Theory of The Greatest Common Divisor.- 8. Euclidean Algorithm for the G.C.D. of two Natural Numbers.- 9. Relatively Prime Natural Numbers.- 10. Applications of the Preceding Theorems.- 11. The Function ?(n)of Euler.- 12. Distribution of the Prime Numbers in the Sequence of Natural Numbers.- Problems for Chapter 1.- 2. Congruences.- 13. The Concept of Congruence and Basic Properties.- 14. Criteria of Divisibility.- 15. Further Theorems on Congruences.- 16. Residue Classes mod m.- 17. The Theorem of Fermat.- 18. Generalized Theorem of Fermat.- 19. Euler’s Proof of the Generalized Theorem of Fermat.- Problems for Chapter 2.- 3. Linear Congruences.- 20. The Linear Congruence and its Solution.- 21. Systems of Linear Congruence.- 22. The Case when the Moduli $${m_1},{m_2}, \\ldots ,{m_k}$$ of the System of Congruences are pairwise Relatively Prime.- 23. Decomposition of a Fraction into a Sum of An Integer and Partial Fractions.- 24. Solution of Linear Congruences with the aid of Continued Fractions.- Problems for Chapter 3.- 4. Congruences of Higher Degree.- 25. Generalities for Congruence of Degree k >1 and Study of the Case of a Prime Modulus.- 26. Theorem of Wilson.- 27. The System {r,r2,…,r?} of Incongruent Powers Modulo a prime p.- 28. Indices.- 29. Binomial Congruences.- 30. Residues of Powers Mod p.- 31. Periodic Decadic Expansions.- Problems for Chapter 4.- 5. Quadratic Residues.- 32. Quadratic Residues Modulo m.- 33.Criterion of Euler and the Legendre Symbol.- 34. Study of the Congruence X2 ? a (mod pr).- 35. Study of the Congruence X2 ? a (mod 2k).- 36. Study of the Congruence X2 ? a (mod m) with (a,m)=1.- 37. Generalization of the Theorem of Wilson.- 38. Treatment of the Second Problem of §32.- 39. Study of $$\\left( {\\frac{{ - 1}}{p}} \\right)$$ and Applications.- 40. The Lemma of Gauss.- 41. Study of $$\\left( {\\frac{2}{p}} \\right)$$ and an application.- 42. The Law of Quadratic Reciprocity.- 43. Determination of the Odd Primes p for which $$\\left( {\\frac{q}{p}} \\right) = 1$$ with given q.- 44. Generalization of the Symbol $$\\left( {\\frac{a}{p}} \\right)$$ of Legendre by Jacobi.- 45. Completion of the Solution of the Second Problem of §32.- Problems for Chapter 5.- 6. Binary Quadratic Forms.- 46. Basic Notions.- 47. Auxiliary Algebraic Forms.- 48. Linear Transformation of the Quadratic Form ax2 + 2bxy + cy2.- 49. Substitutions and Computation with them.- 50. Unimodular Transformations (or Unimodular Substitutions).- 51. Equivalence of Quadratic Forms.- 52. Substitutions Parallel to $$\\left( {\\begin{array}{*{20}{c}} 0&{ - 1} \\\\ 1&0 \\end{array}} \\right)$$.- 53. Reductions of the First Basic Problem of §46.- 54. Reduced Quadratic Forms with Discriminant ? < 0.- 55. The Number of Classes of Equivalent Forms with Discriminant ? < 0.- 56. The Roots of a Quadratic Form.- 57. The Equation of Fermat (and of Pell and Lagrange).- 58. The Divisors of a Quadratic Form.- 59. Equivalence of a form with itself and solution of the Equation of Fermat for Forms with Negative Discriminant ?.- 60. The Primitive Representations of an odd Integer by x2+y2.- 61. The Representation of an Integer m by a Complete System of Forms with given Discriminant ? < 0.- 62. Regular ContinuedFractions.- 63. Equivalence of Real Irrational Number.- 64. Reduced Quadratic Forms with Discriminant ? < 0.- 65. The Period of a Reduced Quadratic Form With ? < 0.- 66. Development of $$\\sqrt \\Delta $$ in a Continued Fraction.- 67. Equivalence of a form with itself and solution of the equation of Fermat for forms with Positive Discriminant ?.- Problems for Chapter 6.Weitere, andere Bücher, die diesem Buch sehr ähnlich sein könnten:
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