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008 081108s1998 nyu | 000 0 eng d
020 _a0387982353 (acidfree paper)
039 9 _a201402040059
_bVLOAD
_c201008020905
_dmalmash
_c200811091300
_dvenkatrajand
_c200811080958
_dNoora
_y200811080958
_zNoora
050 0 0 _aQA301
_b.S47 1998
100 1 _aShakarchi, Rami.
_925070
245 1 0 _aProblems and Solutions for Undergraduate Analysis /
_cRami Shakarchi.
260 _aNew York :
_bSpringer,
_cc1998.
300 _axii, 368 p. ;
_c24 cm.
500 _aVolume contains exercises and solutions for Lang's second edition of Undergraduate analysis.
505 _a0: 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.
520 _aThis 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.
650 0 _aMathematical analysis
_xProblems, exercises, etc.
_931401
942 _2lcc
_n0
_cBK
999 _c20018
_d20018