Hua Luogeng (26 results)

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1st edition. Fine copy in the original colour-printed boards. Remains particularly well-preserved overall; tight, bright, clean and strong. Physical description; X, 244 pp. Notes; Includes bibliographical references and index. Contents; 1. Algebraic Number Fields and Rational Approximation -- §1.1. The units of algebraic number fields -- §1.2. The simultaneous Biophantine approximation of an integral basis -- §1.3. The real eyelotomie field -- §1.4. The units of a eyelotomie field -- §1.5. Continuation -- §1.6. The Drriehlet field -- §1.7. The cubic field -- Notes -- 2. Recurrence Relations and Rational Approximation -- §2.1. The recurrence formula for the elementary symmetric fonction -- §2.2. The generalization of Sn -- §2.3. PV numbers -- § 2.4. The roots of the equation F(x) = 0 -- §2.5. The roots of the equation G(x) = 0 -- §2.6. The roots of the equation E(x) = 0 -- §2.7. The irreducibility of a polynomial -- §2.8. The rational approximations of ?, ?, ? -- Notes -- 3. Uniform Distribution -- §3.1. Uniform distribution -- §3.2. Vinogradov's lemma -- §3.3. The exponential sum and the discrepancy -- §3.4. The number of solutions to the congruence -- §3.5. The solutions of the congruence and the discrepancy -- §3.6. The partial summation formula -- §3.7. The comparison of discrepancies -- §3.8. Eational approximation and the solutions of the congruence -- §3.9. The rational approximation and the discrepancy -- §3.10. The lower estimate of discrepancy -- Notes -- 4. Estimation of Discrepancy -- §4.1. The set of equi-distribution -- §4.2. The Halton theorem -- §4.3. The p set -- §4.4. The gp set -- §4.5. The eonstruetion of good points -- §4.6. The ?s set -- §4.7. The ? set -- §4.8. The ease s = 2 -- §4.9. The glp set -- Notes -- 5. Uniform Distribution and Numerical Integration -- §5.1. The function of bounded variation -- §5.2. Uniform distribution and numerical integration -- §5.3. The lower estimation for the error term of quadrature formula -- §5.4. The quadrature formulas -- Notes -- 6. Periodic Functions -- §6.1. The classes of functions -- §6.2. Several lemmas -- §6.3. The relations between Hs?(C), Qs?(C) and Es?(C) -- §6.4. Periodic functions -- § 6.5. Continuation -- Notes -- 7. Numerical Integration of Periodic Functions -- §7.1. The set of equi-distribution and numerical integration -- §7.2. The p set and numerical integration -- §7.3. The gp set and numerical integration -- §7.4. The lower estimation of the error term for the quadrature formula -- §7.5. The solutions of congruences and numerical integration -- §7.6. The glp set and numerical integration -- §7.7. The Sarygin theorem -- §7.8. The mean error of the quadrature formula -- §7.9. Continuation -- Notes -- 8. Numerical Error for Quadrature Formula -- §8.1. The numerical error -- §8.2. The comparison of good points -- §8.3. The computation of the ? set -- §8.4. The computation of the ?s set -- §8.5. Examples of other F s sets -- §8.6. The computation of a glp set -- §8.7. Several remarks -- §8.8. Tables -- § 8.9. Some examples -- Notes -- 9. Interpolation -- §9.1. Introduction -- §9.2. The set of equi-distribution and interpolation -- §9.3. Several lemmas -- §9.4. The approximate formula of the function of E?s(C) -- §9.5. The approximate formula of the function of Q?s(C) -- §9.6. The Bernoulli polynomial and the approximate polynomial -- §9.7. The ? results -- Notes -- 10. Approximate Solution of Integral Equations and Differential Equations -- §10.1. Several lemmas -- § 10.2. The approximate solution of the Fredholm integral equation of second type -- § 10.3. The approximate solution of the Volterra integral equation of second type -- §10.4. The eigenvalue and eigenfunction of the Fredholm equation -- § 10.5. The Cauehy problem of the partial differential equation of the parabolic type -- § 10.6. The Diriehlet problem of the partial differential equation of the elliptic type -- § 10.7. Several remarks -- Notes -- Appendix Tables. Subjects; Numerical analysis. Arithmetic and logic units, Computer. Mathematics. 1 Kg. …

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1st edition. Fine copy in the original colour-printed boards. Remains particularly well-preserved overall; tight, bright, clean and strong. Physical description; X, 244 pp. Notes; Includes bibliographical references and index. Contents; 1. Algebraic Number Fields and Rational Approximation -- §1.1. The units of algebraic number fields -- §1.2. The simultaneous Biophantine approximation of an integral basis -- §1.3. The real eyelotomie field -- §1.4. The units of a eyelotomie field -- §1.5. Continuation -- §1.6. The Drriehlet field -- §1.7. The cubic field -- Notes -- 2. Recurrence Relations and Rational Approximation -- §2.1. The recurrence formula for the elementary symmetric fonction -- §2.2. The generalization of Sn -- §2.3. PV numbers -- § 2.4. The roots of the equation F(x) = 0 -- §2.5. The roots of the equation G(x) = 0 -- §2.6. The roots of the equation E(x) = 0 -- §2.7. The irreducibility of a polynomial -- §2.8. The rational approximations of ?, ?, ? -- Notes -- 3. Uniform Distribution -- §3.1. Uniform distribution -- §3.2. Vinogradov's lemma -- §3.3. The exponential sum and the discrepancy -- §3.4. The number of solutions to the congruence -- §3.5. The solutions of the congruence and the discrepancy -- §3.6. The partial summation formula -- §3.7. The comparison of discrepancies -- §3.8. Eational approximation and the solutions of the congruence -- §3.9. The rational approximation and the discrepancy -- §3.10. The lower estimate of discrepancy -- Notes -- 4. Estimation of Discrepancy -- §4.1. The set of equi-distribution -- §4.2. The Halton theorem -- §4.3. The p set -- §4.4. The gp set -- §4.5. The eonstruetion of good points -- §4.6. The ?s set -- §4.7. The ? set -- §4.8. The ease s = 2 -- §4.9. The glp set -- Notes -- 5. Uniform Distribution and Numerical Integration -- §5.1. The function of bounded variation -- §5.2. Uniform distribution and numerical integration -- §5.3. The lower estimation for the error term of quadrature formula -- §5.4. The quadrature formulas -- Notes -- 6. Periodic Functions -- §6.1. The classes of functions -- §6.2. Several lemmas -- §6.3. The relations between Hs?(C), Qs?(C) and Es?(C) -- §6.4. Periodic functions -- § 6.5. Continuation -- Notes -- 7. Numerical Integration of Periodic Functions -- §7.1. The set of equi-distribution and numerical integration -- §7.2. The p set and numerical integration -- §7.3. The gp set and numerical integration -- §7.4. The lower estimation of the error term for the quadrature formula -- §7.5. The solutions of congruences and numerical integration -- §7.6. The glp set and numerical integration -- §7.7. The Sarygin theorem -- §7.8. The mean error of the quadrature formula -- §7.9. Continuation -- Notes -- 8. Numerical Error for Quadrature Formula -- §8.1. The numerical error -- §8.2. The comparison of good points -- §8.3. The computation of the ? set -- §8.4. The computation of the ?s set -- §8.5. Examples of other F s sets -- §8.6. The computation of a glp set -- §8.7. Several remarks -- §8.8. Tables -- § 8.9. Some examples -- Notes -- 9. Interpolation -- §9.1. Introduction -- §9.2. The set of equi-distribution and interpolation -- §9.3. Several lemmas -- §9.4. The approximate formula of the function of E?s(C) -- §9.5. The approximate formula of the function of Q?s(C) -- §9.6. The Bernoulli polynomial and the approximate polynomial -- §9.7. The ? results -- Notes -- 10. Approximate Solution of Integral Equations and Differential Equations -- §10.1. Several lemmas -- § 10.2. The approximate solution of the Fredholm integral equation of second type -- § 10.3. The approximate solution of the Volterra integral equation of second type -- §10.4. The eigenvalue and eigenfunction of the Fredholm equation -- § 10.5. The Cauehy problem of the partial differential equation of the parabolic type -- § 10.6. The Diriehlet problem of the partial differential equation of the elliptic type -- § 10.7. Several remarks -- Notes -- Appendix Tables. Subjects; Numerical analysis. Arithmetic and logic units, Computer. Mathematics. 1 Kg. …

Hardcover. Condition: new. Hardcover. The definitive collection of thoughts and essays by Hua Luogeng (1910-1985), the "Father of Modern Chinese Mathematics" and a pioneer in Analytic Number Theory. Hua Luogeng was a towering figure in 20th-century mathematics. A former professor at the University of Illinois (Urbana-Champaign) and member of the National Academy of Sciences (USA), Hua bridged the gap between Western mathematical research and China's scientific development. This volume, Innovating Independently in Mathematics, presents a comprehensive archive of his academic philosophy and contributions. Key highlights include: Theoretical Breakthroughs: Insights into his foundational work in Number Theory, Matrix Geometry, and the Theory of Complex Functions. Applied Mathematics: His revolutionary "Method of Optimization" (0.618 Method) that transformed industrial efficiency in China. Educational Legacy: His vision for mathematical education and the "self-taught" spirit that inspired generations. An essential primary source for collections in Number Theory, History of Mathematics, and Asian Scientific Development. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…

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Hardcover. Condition: Gut. Revised ed. 241 p. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-05430 3540103821 Sprache: Englisch Gewicht in Gramm: 550.

Hardcover. Condition: Gut. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 65 HUA 9783540103820 Sprache: Englisch Gewicht in Gramm: 1150.…

Softcover. Condition: Gut. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 65 HUA 9783540103820 Sprache: Englisch Gewicht in Gramm: 550.…

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Hardcover. Condition: new. Hardcover. The definitive collection of thoughts and essays by Hua Luogeng (1910-1985), the "Father of Modern Chinese Mathematics" and a pioneer in Analytic Number Theory. Hua Luogeng was a towering figure in 20th-century mathematics. A former professor at the University of Illinois (Urbana-Champaign) and member of the National Academy of Sciences (USA), Hua bridged the gap between Western mathematical research and China's scientific development. This volume, Innovating Independently in Mathematics, presents a comprehensive archive of his academic philosophy and contributions. Key highlights include: Theoretical Breakthroughs: Insights into his foundational work in Number Theory, Matrix Geometry, and the Theory of Complex Functions. Applied Mathematics: His revolutionary "Method of Optimization" (0.618 Method) that transformed industrial efficiency in China. Educational Legacy: His vision for mathematical education and the "self-taught" spirit that inspired generations. An essential primary source for collections in Number Theory, History of Mathematics, and Asian Scientific Development. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…

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Hardback. Condition: New.

Hardcover. Condition: new. Hardcover. The definitive collection of thoughts and essays by Hua Luogeng (1910-1985), the "Father of Modern Chinese Mathematics" and a pioneer in Analytic Number Theory. Hua Luogeng was a towering figure in 20th-century mathematics. A former professor at the University of Illinois (Urbana-Champaign) and member of the National Academy of Sciences (USA), Hua bridged the gap between Western mathematical research and China's scientific development. This volume, Innovating Independently in Mathematics, presents a comprehensive archive of his academic philosophy and contributions. Key highlights include: Theoretical Breakthroughs: Insights into his foundational work in Number Theory, Matrix Geometry, and the Theory of Complex Functions. Applied Mathematics: His revolutionary "Method of Optimization" (0.618 Method) that transformed industrial efficiency in China. Educational Legacy: His vision for mathematical education and the "self-taught" spirit that inspired generations. An essential primary source for collections in Number Theory, History of Mathematics, and Asian Scientific Development. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.…

Originalpappband. Condition: Wie neu. ERSTAUSGABE. XI, 179 Seiten : 6 graphische Darstellungen , Index; 25 cm FRISCHES, SEHR schönes Exemplar. In EXCELLENT shape. We offer a lot of books on PHYSICS and MATHEMATICS on stock in EXCELLENT shape). Aufgrund der von der Europäischen Union erlassenen Handels-Erschwernisse (die neue europäische Verpackungsverordnung mit extremen Gebühren für Händler) kann in folgende Länder KEIN VERSAND erfolgen: Bulgarien, Dänemark, Estland, Finnland, Griechenland, Irland, Kroatien, Lettland, Litauen, Luxemburg, Malta, Polen, Portugal, Rumänien, Schweden, Slowakei, Slowenien, Ungarn, Zypern. Falls Sie eine Rechnungs- und Lieferadresse in DEUTSCHLAND ermöglichen, kann an diese deutsche Adresse OHNE PROBLEME geliefert werden. Sprache: Englisch Gewicht in Gramm: 505.…