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Viser: A Course in Calculus and Real Analysis

A Course in Calculus and Real Analysis, 1. udgave

A Course in Calculus and Real Analysis

Sudhir R. Ghorpade og Balmohan V. Limaye
(2006)
Sprog: Engelsk
Springer
653,00 kr. 326,00 kr.
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Detaljer Om Varen

  • 1. Udgave
  • Hardback: 432 sider
  • Udgiver: Springer (Juni 2006)
  • Forfattere: Sudhir R. Ghorpade og Balmohan V. Limaye
  • ISBN: 9780387305301

This book provides a self-contained and rigorous introduction to calculus of functions of one variable, in a presentation which emphasizes the structural development of calculus. Throughout, the authors highlight the fact that calculus provides a firm foundation to concepts and results that are generally encountered in high school and accepted on faith; for example, the classical result that the ratio of circumference to diameter is the same for all circles. A number of topics are treated here in considerable detail that may be inadequately covered in calculus courses and glossed over in real analysis courses.

Preface
- Numbers and Functions. - Sequences. - Continuity and Limits. - Differentiation. - Applications of Differentiation. - Integration. - Elementary Transcendental Functions. - Applications and Approximations of Riemann Integrals. - Infinite Series and Improper Integrals. - References. - List of Symbols and Abbreviations. -
Index.
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