All the Mathematics You Missed: But Need to Know for Graduate School by Thomas A. GarrityAll the Mathematics You Missed: But Need to Know for Graduate School by Thomas A. Garrity

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

byThomas A. GarrityIllustratorLori Pedersen

Hardcover | November 26, 2001

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Few beginning graduate students in mathematics and other quantitative subjects possess the daunting breadth of mathematical knowledge expected of them when they begin their studies. This book will offer students a broad outline of essential mathematics and will help 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 and analytical geometry, real analysis, point-set topology, probability, complex analysis, set theory, algorithms, and more. An annotated bibliography offers a guide to further reading and to more rigorous foundations.
Title:All the Mathematics You Missed: But Need to Know for Graduate SchoolFormat:HardcoverDimensions:376 pages, 8.98 × 5.98 × 0.98 inPublished:November 26, 2001Publisher:Cambridge University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0521792851

ISBN - 13:9780521792851

Reviews

Table of Contents

Preface; 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.

Editorial Reviews

"Point set topology, complex analysis, differential forms, the curvature of surfaces, the axiom of choice, Lebesgue integration, Fourier analysis, algorithms, and differential equations.... I found these sections to be the high points of the book. They were a sound introduction to material that some but not all graduate students will need."
Charles Ashbacher, School Science and Mathematics