All the Mathematics You Missed

But Need to Know for Graduate School

Thomas A. Garrity

347 pages, parution le 27/09/2004

Ajouter à une liste

Indisponible

Résumé

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.

Sommaire

Linear algebra
e and d real analysis
Calculus for vector-valued functions
Point set topology
Classical stokes' theorems
Differential forms and Stokes' theorem
Curvature for curves and surfaces
Geometry
Complex analysis
Countability and the axiom of choice
Algebra
Lebesgue integration
Fourier analysis
Differential equations
Combinatorics and probability theory
Algorithms

Voir tout

Replier

Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Thomas A. Garrity
Parution	27/09/2004
Nb. de pages	347
Format	15 x 22,5
Couverture	Broché
Poids	498g
Intérieur	Noir et Blanc
EAN13	9780521797078
ISBN13	978-0-521-79707-8