Download A Course in Advanced Calculus (Dover Books on Mathematics) by Robert S. Borden PDF

By Robert S. Borden

This impressive undergraduate-level textual content deals a research in calculus that at the same time unifies the options of integration in Euclidean house whereas even as giving scholars an summary of different components in detail on the topic of mathematical research. the writer achieves this formidable project via moving simply from one similar topic to a different. therefore, discussions of topology, linear algebra, and inequalities yield to examinations of innerproduct areas, Fourier sequence, and the key of Pythagoras. starting with a glance at units and buildings, the textual content advances to such subject matters as restrict and continuity in En, measure and integration, differentiable mappings, sequences and sequence, functions of fallacious integrals, and more.
Carefully selected difficulties look on the finish of every bankruptcy, and this re-creation good points an extra appendix of assistance and recommendations for chosen problems.

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