By Robert S. Borden
This amazing undergraduate-level textual content deals a research in calculus that concurrently unifies the ideas of integration in Euclidean area whereas even as giving scholars an outline of different components in detail relating to mathematical research. the writer achieves this formidable venture through transferring simply from one comparable 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 themes as restrict and continuity in En, measure and integration, differentiable mappings, sequences and sequence, functions of mistaken integrals, and more.
Carefully selected difficulties seem on the finish of every bankruptcy, and this new version positive aspects an extra appendix of assistance and strategies for chosen problems.
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Extra resources for A Course in Advanced Calculus (Dover Books on Mathematics)
A Course in Advanced Calculus (Dover Books on Mathematics) by Robert S. Borden