By Robert S. Borden
This awesome undergraduate-level textual content bargains a learn in calculus that at the same time unifies the strategies of integration in Euclidean area whereas whilst giving scholars an summary of alternative components in detail with regards to mathematical research. the writer achieves this formidable project by way of transferring 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 issues as restrict and continuity in En, measure and integration, differentiable mappings, sequences and sequence, purposes of unsuitable integrals, and more.
Carefully selected difficulties seem on the finish of every bankruptcy, and this new version good points an extra appendix of assistance 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