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## Full-Text Articles in Education

The Definite Integrals Of Cauchy And Riemann, Dave Ruch

#### The Definite Integrals Of Cauchy And Riemann, Dave Ruch

*Analysis*

Rigorous attempts to define the definite integral began in earnest in the early 1800's. One of the pioneers in this development was A. L. Cauchy (1789-1857). In this project, students will read from his 1823 study of the definite integral for continuous functions . Then students will read from Bernard Riemann's 1854 paper, in which he developed a more general concept of the definite integral that could be applied to functions with infinite discontinuities.

Rigorous Debates Over Debatable Rigor: Monster Functions In Introductory Analysis, Janet Heine Barnett

#### Rigorous Debates Over Debatable Rigor: Monster Functions In Introductory Analysis, Janet Heine Barnett

*Analysis*

No abstract provided.

#### Bolzano's Definition Of Continuity, His Bounded Set Theorem, And An Application To Continuous Functions, Dave Ruch

*Analysis*

No abstract provided.

The Mean Value Theorem, Dave Ruch

Euler's Rediscovery Of E With Instructor Notes, Dave Ruch

#### Euler's Rediscovery Of E With Instructor Notes, Dave Ruch

*Analysis*

No abstract provided.

An Introduction To A Rigorous Definition Of Derivative, Dave Ruch

#### An Introduction To A Rigorous Definition Of Derivative, Dave Ruch

*Analysis*

No abstract provided.

Abel And Cauchy On A Rigorous Approach To Infinite Series, Dave Ruch

#### Abel And Cauchy On A Rigorous Approach To Infinite Series, Dave Ruch

*Analysis*

No abstract provided.

Investigations Into D'Alembert's Definition Of Limit: A Student Project With Primary Sources, Dave Ruch

#### Investigations Into D'Alembert's Definition Of Limit: A Student Project With Primary Sources, Dave Ruch

*Analysis*

No abstract provided.

Why Be So Critical? Nineteenth Century Mathematics And The Origins Of Analysis, Janet Heine Barnett

#### Why Be So Critical? Nineteenth Century Mathematics And The Origins Of Analysis, Janet Heine Barnett

*Analysis*

No abstract provided.

Henri Lebesgue And The Development Of The Integral Concept, Janet Heine Barnett

#### Henri Lebesgue And The Development Of The Integral Concept, Janet Heine Barnett

*Analysis*

No abstract provided.