By Robert S. Borden
This notable undergraduate-level textual content bargains a learn in calculus that concurrently unifies the techniques of integration in Euclidean house whereas even as giving scholars an outline of different parts in detail relating to mathematical research. the writer achieves this formidable project by means of 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, purposes of fallacious integrals, and more.
Carefully selected difficulties look on the finish of every bankruptcy, and this re-creation gains an extra appendix of suggestions and recommendations for chosen problems.
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A Course in Advanced Calculus (Dover Books on Mathematics) by Robert S. Borden