Building on the basic concepts through a careful discussion of covalence, (while adhering resolutely to sequences where possible), the main part of the book concerns the central topics of continuity, differentiation and integration of real functions. Throughout, the historical context in which the subject was developed is highlighted and particular attention is paid to showing how precision allows us to refine our geometric intuition. The intention is to stimulate the reader to reflect on the underlying concepts and ideas.
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University of Hull, UK
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Inside This Book
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First Sentence:
Before you shut the book and file its contents under 'useless pedantry', let's reflect a little on what we know about the Calculus, what its operations are and on what sort of objects it operates. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Rolle's Theorem, Boundedness Theorem, Fundamental Theorem, Integral Test, Bolzano-Weierstrass Theorem, Ratio Test, Taylor's Theorem, Further Exercise, Inverse Function Theorem, Augustin-Louis Cauchy, Leonhard Euler, Ancient Greeks, Archimedes Principle, Georg Cantor, Gottfried Wilhelm Leibniz, Isaac Newton New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Before you shut the book and file its contents under 'useless pedantry', let's reflect a little on what we know about the Calculus, what its operations are and on what sort of objects it operates. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Rolle's Theorem, Boundedness Theorem, Fundamental Theorem, Integral Test, Bolzano-Weierstrass Theorem, Ratio Test, Taylor's Theorem, Further Exercise, Inverse Function Theorem, Augustin-Louis Cauchy, Leonhard Euler, Ancient Greeks, Archimedes Principle, Georg Cantor, Gottfried Wilhelm Leibniz, Isaac Newton New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 16
books:
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- Numbers, Sequences and Series (Modular Mathematics Series) by Keith Hirst on 4 pages
- Linear Algebra (Modular Mathematics Series) by Reg Allenby in Front Matter, and page 161
- A History of Mathematics, Second Edition by Carl B. Boyer on page 161
- Basic Complex Analysis by Jerrold E. Marsden on page 161
- Ordinary Differential Equations (Modular Mathematics Series) by William Cox in Front Matter
See all 16 books this book cites
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