Problems and Solutions for Undergraduate Analysis (Undergraduate Texts in Ma...
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Problems and Solutions for Undergraduate Analysis (Undergraduate Texts in Ma...
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Item specifics
- Condition
- Release Year
- 1997
- Book Title
- Problems and Solutions for Undergraduate Analysis (Undergradua...
- ISBN
- 9780387982359
About this product
Product Identifiers
Publisher
Springer New York
ISBN-10
0387982353
ISBN-13
9780387982359
eBay Product ID (ePID)
768496
Product Key Features
Number of Pages
Xii, 368 Pages
Language
English
Publication Name
Problems and Solutions for Undergraduate Analysis
Publication Year
1997
Subject
Probability & Statistics / General, General, Mathematical Analysis
Type
Textbook
Subject Area
Mathematics
Series
Undergraduate Texts in Mathematics
Format
Trade Paperback
Dimensions
Item Weight
42 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
98-128337
Number of Volumes
1 vol.
Illustrated
Yes
Table Of Content
0 Sets and Mappings.- I Real Numbers.- II Limits and Continuous Functions.- III Differentiation.- IV Elementary Functions.- V The Elementary Real Integral.- VI Normed Vector Spaces.- VII Limits.- VIII Compactness.- IX Series.- X The Integral in One Variable.- XI Approximation with Convolutions.- XII Fourier Series.- XIII Improper Integrals.- XIV The Fourier Integral.- XV Functions on n-Space.- XVI The Winding Number and Global Potential Functions.- XVII Derivatives in Vector Spaces.- XVIII Inverse Mapping Theorem.- XIX Ordinary Differential Equations.- XX Multiple Integrals.- XXI Differential Forms.
Synopsis
The present volume contains all the exercises and their solutions for Lang's second edition of Undergraduate Analysis. The wide variety of exercises, which range from computational to more conceptual and which are of vary- ing difficulty, cover the following subjects and more: real numbers, limits, continuous functions, differentiation and elementary integration, normed vector spaces, compactness, series, integration in one variable, improper integrals, convolutions, Fourier series and the Fourier integral, functions in n-space, derivatives in vector spaces, the inverse and implicit mapping theorem, ordinary differential equations, multiple integrals, and differential forms. My objective is to offer those learning and teaching analysis at the undergraduate level a large number of completed exercises and I hope that this book, which contains over 600 exercises covering the topics mentioned above, will achieve my goal. The exercises are an integral part of Lang's book and I encourage the reader to work through all of them. In some cases, the problems in the beginning chapters are used in later ones, for example, in Chapter IV when one constructs-bump functions, which are used to smooth out singulari- ties, and prove that the space of functions is dense in the space of regu- lated maps. The numbering of the problems is as follows. Exercise IX. 5. 7 indicates Exercise 7, 5, of Chapter IX. Acknowledgments I am grateful to Serge Lang for his help and enthusiasm in this project, as well as for teaching me mathematics (and much more) with so much generosity and patience., The present volume contains all the exercises and their solutions for Lang's second edition of Undergraduate Analysis. The wide variety of exercises, which range from computational to more conceptual and which are of vary ing difficulty, cover the following subjects and more: real numbers, limits, continuous functions, differentiation and elementary integration, normed vector spaces, compactness, series, integration in one variable, improper integrals, convolutions, Fourier series and the Fourier integral, functions in n-space, derivatives in vector spaces, the inverse and implicit mapping theorem, ordinary differential equations, multiple integrals, and differential forms. My objective is to offer those learning and teaching analysis at the undergraduate level a large number of completed exercises and I hope that this book, which contains over 600 exercises covering the topics mentioned above, will achieve my goal. The exercises are an integral part of Lang's book and I encourage the reader to work through all of them. In some cases, the problems in the beginning chapters are used in later ones, for example, in Chapter IV when one constructs-bump functions, which are used to smooth out singulari ties, and prove that the space of functions is dense in the space of regu lated maps. The numbering of the problems is as follows. Exercise IX. 5. 7 indicates Exercise 7, §5, of Chapter IX. Acknowledgments I am grateful to Serge Lang for his help and enthusiasm in this project, as well as for teaching me mathematics (and much more) with so much generosity and patience., This volume contains all the exercises and their solutions for Lang's second edition of UNDERGRADUATE ANALYSIS. The wide variety of exercises, which range from computational to more conceptual and which are of varying difficulty, cover a wide array of subjects. This volume also serves as an independent source of problems with detailed answers beneficial for anyone interested in learning analysis or linear algebra.
LC Classification Number
QA331.5
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- Dec 02, 2024
Useful for Analysis students
Verified purchase: YesCondition: Pre-OwnedSold by: recklessatom
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- a***s (78)- Feedback left by buyer.Past monthVerified purchaseGreat Shape, Fast Shipping. Many Thanks!
- 2***4 (132)- Feedback left by buyer.Past monthVerified purchaseFirst time buying from this seller and All went great. Great selection of DVDs and a buy 2 get 1 Free deals. shipped fast and well wrapped up for the journey, arrived early then they listed it to and the price on all three was great. Arrived just as they described each one to be.
- l***t (453)- Feedback left by buyer.Past 6 monthsVerified purchaseItem arrived as stated in used but good condition. It was a great price for used. A new copy would have cost a lot more. It was shipped out fast and arrived in secure envelope. Seller did a great job with this entire transaction. I’m very happy with seller and would order from them again. Thank you seller, great job. A+. JL
- s***t (181)- Feedback left by buyer.Past 6 monthsVerified purchaseThere was a mixup during packaging where a paperback copy was picked and shipped for a hard cover copy that was ordered. I asked the seller about it and they honestly replied that the mistake was on their end. A full refund for the item was sent immediately and I will not hesitate to order more from ZBK. Very responsive and they stand behind their items and make good on any issues.