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All the Mathematics You Missed

All the Mathematics You Missed
But Need to Know for Graduate School


  • Date Published: January 2002
  • availability: Available
  • format: Paperback
  • isbn: 9780521797078

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About the Authors
  • Beginning graduate students in mathematics and other quantitative subjects are expected to have a daunting breadth of mathematical knowledge. But few have such a background. This book will help students to see the broad outline of mathematics and to fill in the gaps in their knowledge. The author explains the basic points and a few key results of all the most important undergraduate topics in mathematics, emphasizing the intuitions behind the subject. The topics include linear algebra, vector calculus, differential geometry, real analysis, point-set topology, probability, complex analysis, abstract algebra, and more. An annotated bibliography then offers a guide to further reading and to more rigorous foundations. This book will be an essential resource for advanced undergraduate and beginning graduate students in mathematics, the physical sciences, engineering, computer science, statistics, and economics who need to quickly learn some serious mathematics.

    • An overview of undergraduate mathematics
    • Intuitive reasons why each covered topic is important in mathematics
    • Also covers applied topics such as algorithms and probability
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    Product details

    • Date Published: January 2002
    • format: Paperback
    • isbn: 9780521797078
    • length: 376 pages
    • dimensions: 226 x 155 x 23 mm
    • weight: 0.52kg
    • contains: 177 b/w illus. 2 tables 94 exercises
    • availability: Available
  • Table of Contents

    On the structure of mathematics
    Brief summaries of topics
    1. Linear algebra
    2. e and d real analysis
    3. Calculus for vector-valued functions
    4. Point set topology
    5. Classical stokes' theorems
    6. Differential forms and Stokes' theorem
    7. Curvature for curves and surfaces
    8. Geometry
    9. Complex analysis
    10. Countability and the axiom of choice
    11. Algebra
    12. Lebesgue integration
    13. Fourier analysis
    14. Differential equations
    15. Combinatorics and probability
    16. Algorithms
    A. Equivalence relations.

  • Author

    Thomas A. Garrity, Williams College, Massachusetts

    Illustrated by

    Lori Pedersen

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