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All the mathematics you missed : but need to know for graduate school / Thomas A. Garrity.

By: Material type: TextTextPublisher: Cambridge, UK ; New York, NY : Cambridge University Press, 2002Description: xxvii, 347 pages : illustrations ; 24 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 0521792851
  • 9780521792851
  • 0521797071
  • 9780521797078
Subject(s): DDC classification:
  • 510 21
LOC classification:
  • QA37.3 .G37 2002
Contents:
On the Structure of Mathematics -- 1. Linear Algebra -- 2. [epsilon] and [delta] Real Analysis -- 3. Calculus for Vector-Valued Functions -- 4. Point Set Topology -- 5. Classical Stokes' Theorems -- 6. Differential Forms and Stokes' Thm -- 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.
Summary: "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."--Publisher description.
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Holdings
Item type Current library Call number Copy number Status Date due Barcode
Book City Campus City Campus Main Collection 510 GAR (Browse shelf(Opens below)) 1 Available A288158B

Includes bibliographical references (pages 329-337) and index.

On the Structure of Mathematics -- 1. Linear Algebra -- 2. [epsilon] and [delta] Real Analysis -- 3. Calculus for Vector-Valued Functions -- 4. Point Set Topology -- 5. Classical Stokes' Theorems -- 6. Differential Forms and Stokes' Thm -- 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.

"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."--Publisher description.

Machine converted from AACR2 source record.

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