Author | Lang, Serge. author |
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Title | Undergraduate Analysis [electronic resource] / by Serge Lang |
Imprint | New York, NY : Springer New York : Imprint: Springer, 1997 |
Edition | Second Edition |
Connect to | http://dx.doi.org/10.1007/978-1-4757-2698-5 |
Descript | XV, 642 p. 23 illus. online resource |
One Review of Calculus -- 0 Sets and Mappings -- I Real Numbers -- II Limits and Continuous Functions -- III Differentiation -- IV Elementary Functions -- V The Elementary Real Integral -- Two Convergence -- VI Normed Vector Spaces -- VII Limits -- VIII Compactness -- IX Series -- X The Integral in One Variable -- Three Applications of the Integral -- XI Approximation with Convolutions -- XII Fourier Series -- XIII Improper Integrals -- XIV The Fourier Integral -- Four Calculus in Vector Spaces -- 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 -- Five Multiple Integration -- XX Multiple Integrals -- XXI Differential Forms