TY  - BOOK
AU  - Shakarchi,Rami
TI  - Problems and Solutions for Undergraduate Analysis
SN  - 0387982353 (acidfree paper)
AV  - QA301 .S47 1998
PY  - 1998///
CY  - New York
PB  - Springer
KW  - Mathematical analysis
KW  - Problems, exercises, etc
N1  - Volume contains exercises and solutions for Lang's second edition of Undergraduate analysis; 0: Sets and Mappings. 1: Real numbers. 2: Limits and ContinuousFunctions. 3: Differentiation. 4: Elementary Functions. 5: TheElementary Real Integral. 6: Normed Vector Spaces. 7: Limits. 8:Compactness. 9: Series. 10: The Integral in One Variable. 11:Approximations with Convolutions. 12: Fourier Series. 13: ImproperIntegrals. 14: The Fourier Integral. 15: Functions on n-Space. 16: TheWinding Number and Global Potential Functions. 17: Derivatives inVector Spaces. 18: Inverse Mapping Theorem. 19: Ordinary DifferentialEquations. 20: Multiple Integrals. 21: Differential Forms
N2  - 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
ER  -