Description

Book Synopsis
Originally published in 1910 as number twelve in the Cambridge Tracts in Mathematics and Mathematical Physics series, this book provides an up-to-date version of Du Bois-Reymond's InfinitÃrcalcÃl by the celebrated English mathematician G. H. Hardy. This tract will be of value to anyone with an interest in the history of mathematics or the theory of functions.

Table of Contents
1. Introduction; 2. Scales of infinity in general; 3. Logarithmico-exponential scales; 4. Special problems connected with logarithmico-exponential scales; 5. Functions which do not conform to any logarithmico-exponential scale; 6. Differentiation and integration; 7. Some developments of Du Bois-Reymond's Infinitärcalcül; Appendix 1. General bibliography; Appendix 2. A sketch of some applications, with references; Appendix 3. Some numerical results.

Orders of Infinity The Infinitarcalcul Of Paul Du BoisReymond Cambridge Tracts in Mathematics

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    A Paperback by G. H. Hardy

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      View other formats and editions of Orders of Infinity The Infinitarcalcul Of Paul Du BoisReymond Cambridge Tracts in Mathematics by G. H. Hardy

      Publisher: Cambridge University Press
      Publication Date: 3/26/2015 12:00:00 AM
      ISBN13: 9781107493667, 978-1107493667
      ISBN10: 1107493668
      Also in:
      Functional analysis and transforms History of mathematics

      Description

      Book Synopsis
      Originally published in 1910 as number twelve in the Cambridge Tracts in Mathematics and Mathematical Physics series, this book provides an up-to-date version of Du Bois-Reymond's InfinitÃrcalcÃl by the celebrated English mathematician G. H. Hardy. This tract will be of value to anyone with an interest in the history of mathematics or the theory of functions.

      Table of Contents
      1. Introduction; 2. Scales of infinity in general; 3. Logarithmico-exponential scales; 4. Special problems connected with logarithmico-exponential scales; 5. Functions which do not conform to any logarithmico-exponential scale; 6. Differentiation and integration; 7. Some developments of Du Bois-Reymond's Infinitärcalcül; Appendix 1. General bibliography; Appendix 2. A sketch of some applications, with references; Appendix 3. Some numerical results.

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