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ehrenfest
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Homework Statement
Does anyone have this book? I have some questions about chapter 3.
Homework Equations
The Attempt at a Solution
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quasar987 said:Try to find an expression for the Nth partial sum.
This is an example of what is called a "telescoping series".
ehrenfest said:What about [itex]\sum_n \frac{\sqrt{n+1}-\sqrt{n}}{n} [/itex]
NateTG said:Hmm, is any term in that series larger than:
[tex]\frac{1}{2n^{\frac{3}{2}}}[/tex]
"Rudin's principles of mathematical analysis" is a widely used textbook written by Walter Rudin that covers the fundamental concepts and techniques in mathematical analysis, including real and complex analysis, measure theory, and functional analysis.
This textbook is typically used by undergraduate and graduate students in mathematics, as well as by professionals in the field who are looking for a comprehensive and rigorous treatment of mathematical analysis.
Rudin's textbook is known for its concise and clear writing style, as well as its rigorous and comprehensive approach to the subject. It also includes a wide range of challenging exercises and problems to help readers deepen their understanding of the material.
While some familiarity with basic mathematical concepts is helpful, Rudin's textbook is designed to be accessible to students who are just beginning their study of mathematical analysis. It starts with the fundamentals and gradually builds upon them, making it suitable for both beginners and more advanced readers.
Yes, there are many resources available to supplement the textbook, including solution manuals, study guides, and online lectures and tutorials. These can be found through various online platforms and through the publisher's website.