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"This book is a radical departure from all previous concepts of advanced calculus," declared the *Bulletin of the American Mathematics Society, *"and the nature of this departure merits serious study of the book by everyone interested in undergraduate education in mathematics." Classroom-tested in a Princeton University honors course, it offers students a unified introduction to advanced calculus.

Starting with an abstract treatment of vector spaces and linear transforms, the authors introduce a single basic derivative in an invariant form. All other derivatives — gradient, divergent, curl, and exterior — are obtained from it by specialization. The corresponding theory of integration is likewise unified, and the various multiple integral theorems of advanced calculus appear as special cases of a general Stokes formula. The text concludes by applying these concepts to analytic functions of complex variables.

Starting with an abstract treatment of vector spaces and linear transforms, the authors introduce a single basic derivative in an invariant form. All other derivatives — gradient, divergent, curl, and exterior — are obtained from it by specialization. The corresponding theory of integration is likewise unified, and the various multiple integral theorems of advanced calculus appear as special cases of a general Stokes formula. The text concludes by applying these concepts to analytic functions of complex variables.

Reprint of the Van Nostrum, Princeton, New Jersey, 1959 edition.

Availability | Instant |

ISBN 10 | 0486173747 |

ISBN 13 | 9780486173740 |

Author/Editor | N.E. Steenrod, H.K Nickerson, D.C. Spencer |

Format | eBook |

Page Count | 560 |

Dimensions | 6 1/2 x 9 1/4 |

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