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020 a| 1441905480 (hbk.);

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100 1 a| Cauchy, Augustin Louis,c| Baron,d| 1789-1857.=| ^A197611;

240 10 a| Cours d'analyse.l| English=| ^A197611;

245 10 a| Cauchy's Cours d'analyseh| [electronic resource] :b| an annotated translation /c| Robert E. Bradley, C. Edward Sandifer.;

246 30 a| Cours d'analyse;

260 a| Dordrecht [the Netherlands] ;a| London ;a| New York :b| Springer,;

300 a| xx, 411 p. :b| ill. (1 col.) ;c| 24 cm.;

490 1 a| Sources and studies in the history of mathematics and physical sciences;

500 a| Translated from the French.;

504 a| Includes bibliographical references (p. 403-405) and index.;

505 0 a| On real functions -- On infinitely small and infinitely large quantities, and on the continuity of functions. Singular values of functions in various particular cases -- On symmetric functions and alternating functions. The use of these functions for the solution of equations of the first degree in any number of unknowns. On homogeneous functions -- Determination of integer functions, when a certain number of particular values are known. Applications -- Determination of continuous functions of a single variable that satisfy certain conditions -- On convergent and divergent series. Rules for the convergence of series. The summation of several convergent series -- On imaginary expressions and their moduli -- On imaginary functions and variables -- On convergent and divergent imaginary series. Summation of some convergent imaginary series. Notations used to represent imaginary functions that we find by evaluating the sum of such series -- On real or imaginary roots of algebraic equations for which the left-hand side is a rational and integer function of one variable. The solution of equations of this kind by algebra or trigonometry -- Decomposition of rational fractions -- On recurrent series.;

506 a| Available only to authorized users.;

538 a| Mode of access: World Wide Web;

546 a| Translated from the French.;

600 10 a| Cauchy, Augustin Louis,c| Baron,d| 1789-1857t| Cours d'analyse.=| ^A197611;

650 0 a| Mathematical analysis.=| ^A18530;

655 0 a| Electronic books.=| ^A491897;

700 1 a| Bradley, Robert E.=| ^A755083;

700 1 a| Sandifer, Charles Edward,d| 1951-=| ^A710649;

830 0 a| Sources and studies in the history of mathematics and physical sciences.=| ^A515093;

856 40 z| Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2009 English Internationalu| https://go.openathens.net/redirector/ecu.edu?url=https%3A%2F%2Flink.springer.com%2F10.1007%2F978-1-4419-0549-9;

856 40 z| Full text available from Springer Booksu| https://go.openathens.net/redirector/ecu.edu?url=https%3A%2F%2Flink.springer.com%2F10.1007%2F978-1-4419-0549-9;

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Cauchy's Cours d'analyse an annotated translation / Robert E. Bradley, C. Edward Sandifer.

Author/creator	Cauchy, Augustin Louis
Other author	Bradley, Robert E.
Other author	Sandifer, Charles Edward, 1951-
Format	Electronic
Publication Info	Dordrecht [the Netherlands] ; London ; New York : Springer,
Description	xx, 411 p. : ill. (1 col.) ; 24 cm.
Supplemental Content	Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2009 English International
Supplemental Content	Full text available from Springer Books
Subjects	Cauchy, Augustin Louis, Baron, 1789-1857 Cours d'analyse. Mathematical analysis.

Uniform title	Cours d'analyse. English
Portion of title	Cours d'analyse
Series	Sources and studies in the history of mathematics and physical sciences Sources and studies in the history of mathematics and physical sciences. ^A515093
Contents	On real functions -- On infinitely small and infinitely large quantities, and on the continuity of functions. Singular values of functions in various particular cases -- On symmetric functions and alternating functions. The use of these functions for the solution of equations of the first degree in any number of unknowns. On homogeneous functions -- Determination of integer functions, when a certain number of particular values are known. Applications -- Determination of continuous functions of a single variable that satisfy certain conditions -- On convergent and divergent series. Rules for the convergence of series. The summation of several convergent series -- On imaginary expressions and their moduli -- On imaginary functions and variables -- On convergent and divergent imaginary series. Summation of some convergent imaginary series. Notations used to represent imaginary functions that we find by evaluating the sum of such series -- On real or imaginary roots of algebraic equations for which the left-hand side is a rational and integer function of one variable. The solution of equations of this kind by algebra or trigonometry -- Decomposition of rational fractions -- On recurrent series.
General note	Translated from the French.
Bibliography note	Includes bibliographical references (p. 403-405) and index.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Language	Translated from the French.
Genre/form	Electronic books.
LCCN	2009932254
ISBN	9781441905482 (hbk.)
ISBN	1441905480 (hbk.)

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Cauchy's Cours d'analyse an annotated translation / Robert E. Bradley, C. Edward Sandifer.

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