000			01752nam a2200181 a 4500
020			_a9780486661032
020			_a0486661032
082			_a515 _bWID
100			_aWidder,David V.
245			_aAdvanced Calculus
250			_a2nd ed.
260			_aNew York : _bDover Publications, _c1989.
300			_axvi, 520 pages : _billustrations ;
500			_aIncludes Index
520			_aThis classic text by a distinguished mathematician and former Professor of Mathematics at Harvard University, leads students familiar with elementary calculus into confronting and solving more theoretical problems of advanced calculus. In his preface to the first edition, Professor Widder also recommends various ways the book may be used as a text in both applied mathematics and engineering. Believing that clarity of exposition depends largely on precision of statement, the author has taken pains to state exactly what is to be proved in every case. Each section consists of definitions, theorems, proofs, examples and exercises. An effort has been made to make the statement of each theorem so concise that the student can see at a glance the essential hypotheses and conclusions. For this second edition, the author has improved the treatment of Stieltjes integrals to make it more useful to the reader less than familiar with the basic facts about the Riemann integral. In addition the material on series has been augmented by the inclusion of the method of partial summation of the Schwarz-Holder inequalities, and of additional results about power series. Carefully selected exercises, graded in difficulty, are found in abundance throughout the book; answers to many of them are contained in a final section.
650			_aCalculus.
942			_cBK
999			_c39215 _d39215