All the Mathematics You Missed
All the Mathematics You Missed
$44.99
USDBeginning 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
Reviews & endorsements
"This book will fill an interesting niche in a library collection...it should be used by browsing students interested in making sure that they are prepared for success in their graduate programs." Choice
"All the Mathematics You Missed...is a help for students going on to graduate school..Since many students beginning graduate school do not have the mathematical knowledge needed, All the Mathematics You Missed aims to fill in the gaps." Berkshire Eagle, Pittsfield, MA
"From the preface: 'The goal of this book is to give people at least a rough idea of many topics that beginning graduate students at the best graduate schools are assumed to know." Mathematical Reviews
"The writing is lucid mathematical exposition, at a level quite appropriate to beginning graduate students." The American Statistician
"Before classes began, I jump started my graduate career with the help of this book. Even though I didn't believe that I could have missed much math, it became clear that my belief was wrong during the first week of class. While proving a theorem, my professor asked if anyone remembered a previous result from calculus. While I did not remember it from my days as an undergraduate, I had read about the theorem and had even seen a sketch of the proof in Garrity's book...This will be one of the books that I keep with me as I continue as a graduate student. It has certainly helped me understand concepts that I have missed."
Elizabeth D. Russell, Math Horizons
"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
Product details
May 2012Adobe eBook Reader
9780511252501
0 pages
0kg
177 b/w illus. 2 tables 94 exercises
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.
