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 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, inverse and implicit mapping theorem, ordinary differential equations, multiple integrals and differential forms. This volume also serves as an independent source of problems with detailed answers beneficial for anyone interested in learning analysis. Intermediary steps and original drawings provided by the author assists students in their mastery of problem solving techniques and increases their overall comprehension of the subject matter.
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Most Helpful Customer Reviews
30 of 31 people found the following review helpful:
5.0 out of 5 stars
I recommend this text for self-study,
By UNPINGCO (Los Angeles, CA) - See all my reviews
This review is from: Problems and Solutions for Undergraduate Analysis (Undergraduate Texts in Mathematics) (Paperback)
This collection of problems is really quite good. First, the problem is spelled out entirely, so you don't need to refer to the text. It is self-contained, for the most part. Each of the solutions is worked out with generous detail and the problems are chosen to accentuate certain basic results that are easy to take for granted unless you see the difficulties that arise in their absence. I recommend this text for self-study as a running start to Polya and Szego's more difficult problem book.
28 of 29 people found the following review helpful:
5.0 out of 5 stars
Excellent companion to Lang's Analysis book,
By
This review is from: Problems and Solutions for Undergraduate Analysis (Undergraduate Texts in Mathematics) (Paperback)
This book is not just a "solutions manual." There are detailed proofs for all of the problems in the book. This book is essential if you want to truly learn real analysis.
22 of 23 people found the following review helpful:
5.0 out of 5 stars
Finaly an outstanding problems and solutions guide,
By A Customer
This review is from: Problems and Solutions for Undergraduate Analysis (Undergraduate Texts in Mathematics) (Paperback)
The only way to study mathematics is by solving a large number of problems: this book permits the eager student to challenge his acquired knowledge. A must to all the students wanting to really master undergraduate analysis.
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Inside This Book
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First Sentence:
Exercise 0.2.1 Let S, T, T1 be sets. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
trig deg, semiparallelogram law, putting absolute values, shrinking lemma, nonmed vector space, shrinking map, sin tdt, hermitian product, sup norm, continuous linear map, bump functions, show that the series, normed vector spaces, completeness axiom, right converges Key Phrases - Capitalized Phrases (CAPs): (learn more)
Function Spaces, Linear Differential Equations, Generalize Exercise New!
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Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Exercise 0.2.1 Let S, T, T1 be sets. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
trig deg, semiparallelogram law, putting absolute values, shrinking lemma, nonmed vector space, shrinking map, sin tdt, hermitian product, sup norm, continuous linear map, bump functions, show that the series, normed vector spaces, completeness axiom, right converges Key Phrases - Capitalized Phrases (CAPs): (learn more)
Function Spaces, Linear Differential Equations, Generalize Exercise New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
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- Math Coach: A Parent's Guide to Helping Children Succeed in Math by Wayne A. Wickelgren in Back Matter
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