Basic Training in Mathematics: A Fitness Program for Science Students

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Springer, 2013 M12 20 - 366 pages
Based on course material used by the author at Yale University, this practical text addresses the widening gap found between the mathematics required for upper-level courses in the physical sciences and the knowledge of incoming students. This superb book offers students an excellent opportunity to strengthen their mathematical skills by solving various problems in differential calculus. By covering material in its simplest form, students can look forward to a smooth entry into any course in the physical sciences.
 

Contents

1 DIFFERENTIAL CALCULUS OF ONEVARIABLE
1
2 INTEGRAL CALCULUS
33
3 CALCULUS OF MANY VARIABLES
51
4 INFINITE SERIES
75
5 COMPLEX NUMBERS
89
6 FUNCTIONS OF A COMPLEX VARIABLE
107
7 VECTOR CALCULUS
149
8 MATRICES AND DETERMINANTS
205
9 LINEAR VECTOR SPACES
229
10 DIFFERENTIAL EQUATIONS
305
ANSWERS
351
INDEX
359
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About the author (2013)

Ramamurti Shankar is the John Randolph Huffman Professor of Physics at Yale University, USA.

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