By Robert S. Borden
This notable undergraduate-level textual content bargains a research in calculus that at the same time unifies the thoughts of integration in Euclidean area whereas whilst giving scholars an outline of alternative parts in detail with regards to mathematical research. the writer achieves this bold 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 subject matters as restrict and continuity in En, measure and integration, differentiable mappings, sequences and sequence, functions of mistaken integrals, and more.
Carefully selected difficulties look on the finish of every bankruptcy, and this new version good points an extra appendix of tips and suggestions 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