<P></P>
<P> <BR></P>
<P></P>
<P>比较完整，大力推荐。</P>
<P>I Algebra 1<BR>1 Sets and Functions 3<BR>2 Vectors 13<BR>II Calculus 29<BR>3 Di erential Calculus 31<BR>4 Integral Calculus 71<BR>5 Vector Calculus 91<BR>III Functions of a Complex Variable 107<BR>6 Complex Numbers 109<BR>7 Functions of a Complex Variable 143<BR>8 Analytic Functions 215<BR>9 Analytic Continuation 259<BR>10 Contour Integration and the Cauchy-Goursat Theorem 275<BR>11 Cauchy's Integral Formula 295<BR>12 Series and Convergence 315<BR>13 The Residue Theorem 375<BR>IV Ordinary Di erential Equations 461<BR>14 First Order Di erential Equations 463<BR>15 First Order Linear Systems of Di erential Equations 499<BR>16 Theory of Linear Ordinary Di erential Equations 515<BR>17 Techniques for Linear Di erential Equations 531<BR>18 Techniques for Nonlinear Di erential Equations 549<BR>19 Transformations and Canonical Forms 563<BR>20 The Dirac Delta Function 575<BR>21 Inhomogeneous Di erential Equations 583<BR>22 Di erence Equations 619<BR>23 Series Solutions of Di erential Equations 631<BR>24 Asymptotic Expansions 655<BR>25 Hilbert Spaces 671<BR>26 Self Adjoint Linear Operators 689<BR>27 Self-Adjoint Boundary Value Problems 695<BR>28 Fourier Series 707<BR>29 Regular Sturm-Liouville Problems 729<BR>30 Integrals and Convergence 745<BR>31 The Laplace Transform 749<BR>32 The Fourier Transform 765<BR>33 The Gamma Function 787<BR>34 Bessel Functions 799<BR>V Partial Di erential Equations 819<BR>35 Transforming Equations 821<BR>36 Classication of Partial Di erential Equations 825<BR>37 Separation of Variables 835<BR>38 Finite Transforms 901<BR>39 The Di usion Equation 907<BR>40 Laplace's Equation 911<BR>41 Waves 915<BR>42 Similarity Methods 919<BR>43 Method of Characteristics 925<BR>44 Transform Methods 935<BR>45 Green Functions 941<BR>46 Conformal Mapping 951<BR>47 Non-Cartesian Coordinates 955<BR>VI Calculus of Variations 961<BR>48 Calculus of Variations 963<BR>VII Nonlinear Di erential Equations 1027<BR>49 Nonlinear Ordinary Di erential Equations 1029<BR>50 Nonlinear Partial Di erential Equations 1047<BR>VIII Appendices 1063<BR></P>
<P align=right><FONT color=#000066>[此贴子已经被作者于2006-11-11 16:33:28编辑过]</FONT></P>