عنوان

Dirichlet :

(Number (ISBN

3030010732

(Number (ISBN

9783030010737

Erroneous ISBN

9783030010713

Title Proper

Dirichlet :

General Material Designation

[Book]

Other Title Information

a mathematical biography /

First Statement of Responsibility

Uta C. Merzbach.

Place of Publication, Distribution, etc.

Cham, Switzerland :

Name of Publisher, Distributor, etc.

Birkhauser,

Date of Publication, Distribution, etc.

[2018]

Specific Material Designation and Extent of Item

1 online resource

Text of Note

11.6 A Generalization re Continued Fractions and Number Theory

Text of Note

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

Text of Note

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

Text of Note

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

Text of Note

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

Text of Note

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

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Text of Note

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.--

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix.9783030010737

Title

Dirichlet : A Mathematical Biography.

International Standard Book Number

9783030010713

Lejeune Dirichlet, Peter Gustav,1805-1859.

Lejeune Dirichlet, Peter Gustav,1805-1859.

Mathematicians, Biography.

Mathematicians.

Number

Edition

Class number

Book number

Merzbach, Uta C.,1933-

Date of Transaction

20200823072537.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y