عنوان

Dirichlet :

شابک

3030010732

شابک

9783030010737

شابک اشتباه

9783030010713

عنوان اصلي

Dirichlet :

نام عام مواد

[Book]

ساير اطلاعات عنواني

a mathematical biography /

نام نخستين پديدآور

Uta C. Merzbach.

محل نشرو پخش و غیره

Cham, Switzerland :

نام ناشر، پخش کننده و غيره

Birkhauser,

تاریخ نشرو بخش و غیره

[2018]

نام خاص و کميت اثر

1 online resource

متن يادداشت

11.6 A Generalization re Continued Fractions and Number Theory

متن يادداشت

Intro; Preface; Acknowledgements; Publisher's Acknowledgements; Contents; Abbreviations and Conventions; Institutions; Publications; Place Names; 1 Rhineland; 1.1 Düren; 1.2 Bonn; 1.3 Cologne; 2 Paris; 2.1 Early Reports Home; 2.2 Madame Lorge and the Deutgens; 2.3 Professors; 2.4 Smallpox; 2.5 Water Flow; 2.6 First Employment; 2.7 Obligations at Home; Draft Call; 2.8 The Mysterious Research Project; 3 First Success; 3.1 Fermat's Claim; 3.2 Lacroix and Legendre; 3.3 The Draft Board and the Institut of the Académie; 3.4 The Review Committee's Report; 3.5 Legendre's Proof

متن يادداشت

6.1 The 1828 Convention6.2 Meeting Scientists; 6.3 Geomagnetism; 6.4 Leipzigerstraße 3; 6.5 Fanny and Wilhelm Hensel; 6.6 Kriegsschule; 6.7 Steps to a University Appointment; 6.8 The University; 6.9 Rebecca Mendelssohn Bartholdy; 6.10 Family Concerns; 6.11 New Security; 7 Publications: 1829-1830; 7.1 Definite Integrals; 7.2 Convergence of Fourier Series; 7.3 A Problem from Heat Theory; 7.4 Summary; 8 Maturation; 8.1 Educational Commissions; 8.2 The Kriegsschule; 8.3 The University; 8.4 The Akademie and the Académie; 8.5 The Repertorium; 8.6 Gaussian Interactions

متن يادداشت

8.7 Family: 1833-18358.8 Family: 1836-1838; 8.9 The Death of Gans; 9 Publications: Autumn 1832-Spring 1839; 9.1 Quadratic Residues in the Complex Field; 9.2 Fermat's Last Theorem for n=14; 9.3 Quadratic Forms and Divisors; 9.4 Existence and Uniqueness Issues; 9.5 Gauss Sums; 9.6 Eulerian Integrals; 9.7 Efficacy of Least Squares; 9.8 Primes in Arithmetic Progressions; 9.9 The Repertorium Report on Arbitrary Functions; 9.10 Series Expansions and Spherical Functions; 9.11 Pell's Equation and Circular Functions; 9.12 Asymptotic Laws in Number Theory; 9.13 Infinite Series and Number Theory

متن يادداشت

9.14 The New Method: Using a Discontinuity Factor9.15 Observations; 10 Expanding Interactions; 10.1 Professor Designate; 10.2 Paris; 10.3 Return to Berlin; 10.4 Jacobi; 10.5 Preparations for a Vacation; 10.6 Switzerland and Italy North of Rome; 10.7 Rome; 10.8 Illnesses; 10.9 The Birth of Flora; 10.10 Return to Berlin; 11 Publications: 1839-1845; 11.1 Analytic Number Theory; 11.2 Primes in Quadratic Forms; 11.3 Extract of a Letter to Liouville: The Unit Theorem for Degree 3; 11.4 The Theory of Complex Numbers; 11.5 Certain Functions of Degree Three and Above

متن يادداشت

Dirichlet's ``Addition''4 Return to Prussia; 4.1 Political Background; 4.2 The Death of Foy; 4.3 Fourier and Humboldt; 4.4 Approaches to Prussia; 4.5 Gauss; 4.6 The Cultural Ministry; 4.7 The Breslau Appointment; 4.8 Bonn and the Doctorate; 4.9 Political Suspect; 4.10 The Visit with Gauss; 4.11 Breslau; 4.12 Confirmation and Recognition; 4.13 Radowitz and the Kriegsschule; 4.14 Departure from Breslau; 5 Early Publications; 5.1 Some Indeterminate Equations of Degree 5; 5.2 Biquadratic Residues; 5.3 The Habilitationsschrift; 5.4 Wilson's and Related Theorems; 5.5 A Challenge; 6 Berlin

بدون عنوان

0

بدون عنوان

8

بدون عنوان

8

بدون عنوان

8

بدون عنوان

8

متن يادداشت

This is the first extensive biography of the influential German mathematician, Peter Gustav Lejeune Dirichlet (1805 - 1859). Dirichlet made major contributions to number theory in addition to clarifying concepts such as the representation of functions as series, the theory of convergence, and potential theory. His mathematical methodology was explicitly based on a thorough knowledge of the work of his predecessors and his belief in the underlying unity of the branches of mathematics. This unified approach is exemplified in a paper that effectively launched the field of analytic number theory. The same orientation pervaded his teaching, which had a profound influence on the work of many mathematicians of subsequent generations. Chapters dealing with his mathematical work alternate with biographical chapters that place Dirichlet's life and those of some of his notable associates in the context of the political, social, and artistic culture of the period. This book will appeal not only to mathematicians but also to historians of mathematics and sciences, and readers interested in the cultural and intellectual history of the nineteenth century.--

منبع سفارش / آدرس اشتراک

Springer Nature

شماره انبار

com.springer.onix.9783030010737

عنوان

Dirichlet : A Mathematical Biography.

شماره استاندارد بين المللي کتاب و موسيقي

9783030010713

موضوع مستند نشده

Lejeune Dirichlet, Peter Gustav,1805-1859.

موضوع مستند نشده

Lejeune Dirichlet, Peter Gustav,1805-1859.

موضوع مستند نشده

Mathematicians, Biography.

موضوع مستند نشده

Mathematicians.

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Merzbach, Uta C.,1933-

تاريخ عمليات

20200823072537.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y