000			01906nam a2200181 a 4500
020			_a9780387982359
020			_a0387982353
082			_a515 _bSHA
100			_aShakarchi, Rami
245			_aProblems and solutions for Undergraduate analysis
260			_aNew York : _bSpringer, _c©1998.
300			_axii, 368 pages ;
500			_aVolume contains exercises and solutions for Lang's second edition of Undergraduate analysis.
505			_a 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.
520			_a "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, covers 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."--Jacket
650			_aMathematical analysis -- Problems, exercises, etc.
942			_cREF
999			_c14068 _d14068