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

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Características del artículo

Estado
Aceptable: Libro con un desgaste evidente. La tapa puede tener algunos desperfectos, pero el libro ...
Release Year
2001
Book Title
All the Mathematics You Missed: But Need to Know for Graduate ...
ISBN
9780521797078
Categoría

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Product Identifiers

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

Product Key Features

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

Dimensions

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

Additional Product Features

Intended Audience
College Audience
LCCN
2001-037644
Dewey Edition
21
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, "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, "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, "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
Yes
Dewey Decimal
510
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.
Synopsis
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., This book will help students in mathematics and other quantitative subjects to fill in the gaps in their preparation for graduate school. It presents the basic points, a few key results, and an annotated reading list of the most important undergraduate topics in mathematics: linear algebra, vector calculus, geometry, real analysis, point-set topology, and more., 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.
LC Classification Number
QA37.3 .G37 2002
Illustrated by
Pedersen, Lori

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