All the Mathematics You Missed
But Need to Know for Graduate School
- Author: Thomas A. Garrity, Williams College, Massachusetts
- Date Published: May 2012
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
- format: Adobe eBook Reader
- isbn: 9780511252501
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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.
Read more- 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: May 2012
- format: Adobe eBook Reader
- isbn: 9780511252501
- contains: 177 b/w illus. 2 tables 94 exercises
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
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.
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