By Robert S. Borden
This outstanding undergraduate-level textual content deals a learn in calculus that concurrently unifies the techniques of integration in Euclidean area whereas even as giving scholars an outline of alternative parts in detail regarding mathematical research. the writer achieves this bold project by means of 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 issues as restrict and continuity in En, measure and integration, differentiable mappings, sequences and sequence, purposes of fallacious integrals, and more.
Carefully selected difficulties seem on the finish of every bankruptcy, and this new version good points an extra appendix of advice and recommendations 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