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Editorial Reviews
Review
A very stimulating problem book ... a useful supplement to any graduate textbok in mathematical analysis MAA Online
Product Description
We learn by doing. We learn mathematics by doing problems. And we learn more mathematics by doing more problems. This is the sequel to Problems in Mathematical Analysis I (Volume 4 in the Student Mathematical Library series). If you want to hone your understanding of continuous and differentiable functions, this book contains hundreds of problems to help you do so. The emphasis here is on real functions of a single variable. Topics include: continuous functions, the intermediate value property, uniform continuity, mean value theorems, Taylors formula, convex functions, sequences and series of functions.
The book is mainly geared toward students studying the basic principles of analysis. However, given its selection of problems, organization, and level, it would be an ideal choice for tutorial or problem-solving seminars, particularly those geared toward the Putnam exam. It is also suitable for self-study. The presentation of the material is designed to help student comprehension, to encourage them to ask their own questions, and to start research. The collection of problems will also help teachers who wish to incorporate problems into their lectures. The problems are grouped into sections according to the methods of solution. Solutions for the problems are provided.
This is the sequel to Problems in Mathematical Analysis I (Volume 4 in the Student Mathematical Library series). Also available from the AMS is Problems in Analysis III.
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Inside This Book
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First Sentence:
We adopt the following definitions. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
entirely similar manner one, generalized mean value theorem, intermediate value property, foregoing problem, given functional equation, global maximum value, distinct real zeros, find all functions, deleted neighborhood, pointwise convergent, lower semicontinuous, uniform continuity, uniform convergence Key Phrases - Capitalized Phrases (CAPs): (learn more)
M-test of Weierstrass, Properties of Continuous Functions, Functional Equations, Convex Functions, Find the Taylor, Tung-Po Lin New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
We adopt the following definitions. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
entirely similar manner one, generalized mean value theorem, intermediate value property, foregoing problem, given functional equation, global maximum value, distinct real zeros, find all functions, deleted neighborhood, pointwise convergent, lower semicontinuous, uniform continuity, uniform convergence Key Phrases - Capitalized Phrases (CAPs): (learn more)
M-test of Weierstrass, Properties of Continuous Functions, Functional Equations, Convex Functions, Find the Taylor, Tung-Po Lin 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 11
books:
See all 11 books this book cites
- A Primer of Real Analytic Functions, Second Edition by Steven G. Krantz in Front Matter, and Back Matter
- Theory of Complex Functions (Graduate Texts in Mathematics / Readings in Mathematics) (v. 122) by Reinhold Remmert in Back Matter
- Probability and Measure, 3rd Edition by Patrick Billingsley on page 353
- Principles of Mathematical Analysis (International Series in Pure & Applied Mathematics) by Walter Rudin in Back Matter
- The Theory of Functions by Edward C. Titchmarsh in Back Matter
See all 11 books this book cites
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66% buy the item featured on this page: Problems in Mathematical Analysis II (Student Mathematical Library, Vol. 12) $36.45 |
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9% buy Problems in Real Analysis, Second Edition $76.98 |
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9% buy Problems in Mathematical Analysis 1: Real Numbers, Sequences and Series (Student Mathematical Library, V. 4) (Vol 1) $36.45 |
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9% buy Problems and Solutions for Undergraduate Analysis (Undergraduate Texts in Mathematics) $52.25 |
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