The principal aim of this book is to introduce university level mathematics - both algebra and calculus. The text is suitable for first and second year students. It treats the material in depth, and thus can also be of interest to beginning graduate students. New concepts are motivated before being introduced through rigorous definitions. All theorems are proved and great care is taken over the logical structure of the material presented. To facilitate understanding, a large number of diagrams are included. Most of the material is presented in the traditional way, but an innovative approach is taken with emphasis on the use of Maple and in presenting a modern theory of integration. To help readers with their own use of this software, a list of Maple commands employed in the book is provided. The book advocates the use of computers in mathematics in general, and in pure mathematics in particular. It makes the point that results need not be correct just because they come from the computer. A careful and critical approach to using computer algebra systems persists throughout the text.
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First Sentence:
In this chapter we explain the scope and guiding philosophy of the present book, we try to make clear its logical structure and the role which Maple plays in the book. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
tagged division, integrability test, least upper bound axiom, limit from the right, intermediate value property, recursion theorem, conditionally convergent series, end proc, field axioms, rational roots, order axioms, local extremum, finance package Key Phrases - Capitalized Phrases (CAPs): (learn more)
Exercises Exercise, Sets Revisited, Maple Maple New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
In this chapter we explain the scope and guiding philosophy of the present book, we try to make clear its logical structure and the role which Maple plays in the book. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
tagged division, integrability test, least upper bound axiom, limit from the right, intermediate value property, recursion theorem, conditionally convergent series, end proc, field axioms, rational roots, order axioms, local extremum, finance package Key Phrases - Capitalized Phrases (CAPs): (learn more)
Exercises Exercise, Sets Revisited, Maple Maple 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 2
books:
- Mathematics and Science by Ronald E. Mickens on page 54
- Mathematical principles of natural philosophy and Treatise On Light (Great books of the Western World, v. 34) by Isaac Newton in Front Matter
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