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All The Mathematics You Missed

Author: Thomas A. Garrity
Publisher: Cambridge University Press
ISBN: 9780521797078
Size: 44.30 MB
Format: PDF
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An essential resource for advanced undergraduate and beginning graduate students in quantitative subjects who need to quickly learn some serious mathematics.

All The Mathematics You Missed

Author: Thomas A. Garrity
Publisher: Cambridge University Press
ISBN: 1139643673
Size: 22.64 MB
Format: PDF, ePub, Mobi
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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.

A Mathematician S Survival Guide

Author: Steven George Krantz
Publisher: American Mathematical Soc.
ISBN: 082183455X
Size: 62.95 MB
Format: PDF, ePub, Docs
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When you are a young mathematician, graduate school marks the first step toward a career in mathematics. During this period, you will make important decisions which will affect the rest of your career. Here now is a detailed guide to help you navigate graduate school and the years that follow. In his inimitable and forthright style, Steven Krantz addresses the major issues of graduate school, including choosing a program, passing the qualifying exams, finding an advisor, writing a thesis, and getting your first job. As with his earlier guide, How to Teach Mathematics, he avoids generalities, giving clear advice on how to handle real situations. The book also contains a description of the basic elements of a mathematical education, as well as a glossary and appendices on the structure of a typical department and university and the standard academic ranks. Steven G. Krantz is an accomplished mathematician and an award-winning author. He has published 130 research articles and 45 books. He has worked in many different types of mathematics departments, supervised both masters and doctoral students, and is currently the Chair of the Mathematics Department at Washington University in St. Louis.

Surviving Your Stupid Stupid Decision To Go To Grad School

Author: Adam Ruben
Publisher: Three Rivers Press
ISBN: 0307589455
Size: 10.52 MB
Format: PDF, ePub
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This is a book for dedicated academics who consider spending years masochistically overworked and underappreciated as a laudable goal. They lead the lives of the impoverished, grade the exams of whiny undergrads, and spend lonely nights in the library or laboratory pursuing a transcendent truth that only six or seven people will ever care about. These suffering, unshaven sad sacks are grad students, and their salvation has arrived in this witty look at the low points of grad school. Inside, you’ll find: • advice on maintaining a veneer of productivity in front of your advisor • tips for sleeping upright during boring seminars • a description of how to find which departmental events have the best unguarded free food • how you can convincingly fudge data and feign progress This hilarious guide to surviving and thriving as the lowliest of life-forms—the grad student—will elaborate on all of these issues and more. www.facebook.com/stupiddecisiontogogradschool From the Trade Paperback edition.

Electricity And Magnetism For Mathematicians

Author: Thomas A. Garrity
Publisher: Cambridge University Press
ISBN: 1107078202
Size: 70.33 MB
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Maxwell's equations have led to many important mathematical discoveries. This text introduces mathematics students to some of their wonders.

The Linear Algebra A Beginning Graduate Student Ought To Know

Author: Jonathan S. Golan
Publisher: Springer Science & Business Media
ISBN: 9400726368
Size: 45.10 MB
Format: PDF
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Linear algebra is a living, active branch of mathematics which is central to almost all other areas of mathematics, both pure and applied, as well as to computer science, to the physical, biological, and social sciences, and to engineering. It encompasses an extensive corpus of theoretical results as well as a large and rapidly-growing body of computational techniques. Unfortunately, in the past decade, the content of linear algebra courses required to complete an undergraduate degree in mathematics has been depleted to the extent that they fail to provide a sufficient theoretical or computational background. Students are not only less able to formulate or even follow mathematical proofs, they are also less able to understand the mathematics of the numerical algorithms they need for applications. Certainly, the material presented in the average undergraduate course is insufficient for graduate study. This book is intended to fill the gap which has developed by providing enough theoretical and computational material to allow the advanced undergraduate or beginning graduate student to overcome this deficiency and be able to work independently or in advanced courses. The book is intended to be used either as a self-study guide, a textbook for a course in advanced linear algebra, or as a reference book. It is also designed to prepare a student for the linear algebra portion of prelim exams or PhD qualifying exams. The volume is self-contained to the extent that it does not assume any previous formal knowledge of linear algebra, though the reader is assumed to have been exposed, at least informally, to some of the basic ideas and techniques, such as manipulation of small matrices and the solution of small systems of linear equations over the real numbers. More importantly, it assumes a seriousness of purpose, considerable motivation, and a modicum of mathematical sophistication on the part of the reader. In the latest edition, new major theorems have been added, as well as many new examples. There are over 130 additional exercises and many of the previous exercises have been revised or rewritten. In addition, a large number of additional biographical notes and thumbnail portraits of mathematicians have been included.

Berkeley Problems In Mathematics

Author: Paulo Ney de Souza
Publisher: Springer Science & Business Media
ISBN: 9780387204291
Size: 48.42 MB
Format: PDF
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This book collects approximately nine hundred problems that have appeared on the preliminary exams in Berkeley over the last twenty years. It is an invaluable source of problems and solutions. Readers who work through this book will develop problem solving skills in such areas as real analysis, multivariable calculus, differential equations, metric spaces, complex analysis, algebra, and linear algebra.

Algebraic Geometry

Author: Thomas A. Garrity
Publisher: American Mathematical Soc.
ISBN: 0821893963
Size: 27.55 MB
Format: PDF, ePub, Mobi
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Algebraic Geometry has been at the center of much of mathematics for hundreds of years. It is not an easy field to break into, despite its humble beginnings in the study of circles, ellipses, hyperbolas, and parabolas. This text consists of a series of ex

An Introduction To Numerical Analysis

Author: Endre Süli
Publisher: Cambridge University Press
ISBN: 9780521007948
Size: 51.60 MB
Format: PDF, ePub, Docs
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Introduction to numerical analysis combining rigour with practical applications. Numerous exercises plus solutions.