By Robert S. Borden
This awesome undergraduate-level textual content bargains a research in calculus that concurrently unifies the innovations of integration in Euclidean house whereas whilst giving scholars an summary of different parts in detail relating to mathematical research. the writer achieves this formidable venture through moving simply from one similar topic to a different. hence, 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 incorrect integrals, and more.
Carefully selected difficulties seem on the finish of every bankruptcy, and this re-creation good points an extra appendix of tips and ideas for chosen problems.
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A Course in Advanced Calculus (Dover Books on Mathematics) by Robert S. Borden