Provides introduction to analysis of real-valued functions of one variable. This text is for a student's first abstract mathematics course. Writing style is less formal and material presented in a way such that the student can develop an intuition for the subject and acquire some experience in const
an introduction to mathematical analysis
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This book provides a rigorous course in the calculus of functions of a real variable. Its gentle approach, particularly in its early chapters, makes it especially suitable for students who are not headed for graduate school. For those who are, this book gives an opportunity to engage in a penetratin
ch. 1. Numbers -- ch. 2. Sequences of real numbers -- ch. 3. Infinite numerical series -- ch. 4. Continuous functions -- ch. 5. Derivatives -- ch. 6. Convex functions -- ch. 7. Metric spaces -- ch. 8. Integration.
<p>The third edition of this widely popular textbook is authored by a master teacher.<b> </b>This book provides a mathematically rigorous introduction to analysis of realΒvalued functions of one variable. This intuitive, student-friendly text is written in a manner that will help to ease the transit
Among the traditional purposes of such an introductory course is the training of a student in the conventions of pure mathematics: acquiring a feeling for what is considered a proof, and supplying literate written arguments to support mathematical propositions. To this extent, more than one proof is