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

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ISBN
9780521797078
Subject Area
Mathematics
Publication Name
All the Mathematics You Missed : but Need to Know for Graduate School
Item Length
9 in
Publisher
Cambridge University Press
Subject
General
Publication Year
2001
Type
Textbook
Format
Trade Paperback
Language
English
Item Height
1 in
Author
Thomas A. Garrity
Item Width
6 in
Item Weight
18.4 Oz
Number of Pages
376 Pages

關於產品

Product Information

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.

Product Identifiers

Publisher
Cambridge University Press
ISBN-10
0521797071
ISBN-13
9780521797078
eBay Product ID (ePID)
1827860

Product Key Features

Author
Thomas A. Garrity
Publication Name
All the Mathematics You Missed : but Need to Know for Graduate School
Format
Trade Paperback
Language
English
Subject
General
Publication Year
2001
Type
Textbook
Subject Area
Mathematics
Number of Pages
376 Pages

Dimensions

Item Length
9 in
Item Height
1 in
Item Width
6 in
Item Weight
18.4 Oz

Additional Product Features

LCCN
2001-037644
Lc Classification Number
Qa37.3 .G37 2002
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, "The writing is lucid mathematical exposition, at a level quite appropriate to beginning graduate students." The American Statistician, "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, "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, "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
Illustrated by
Pedersen, Lori
Table of Content
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.
Copyright Date
2002
Target Audience
College Audience
Dewey Decimal
510
Dewey Edition
21
Illustrated
Yes

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