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Book
All the math you missed : but need to know for graduate school
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ISBN: 1108992870 1009006401 1009006207 Year: 2021 Publisher: Cambridge : Cambridge University Press,

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Abstract

Beginning graduate students in mathematical sciences and related areas in physical and computer sciences and engineering are expected to be familiar with a daunting breadth of mathematics, but few have such a background. This bestselling book helps students fill in the gaps in their knowledge. Thomas A. Garrity 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 explanations are accompanied by numerous examples, exercises and suggestions for further reading that allow the reader to test and develop their understanding of these core topics. Featuring four new chapters and many other improvements, this second edition of All the Math You Missed is an essential resource for advanced undergraduates and beginning graduate students who need to learn some serious mathematics quickly.

Keywords

Mathematics. --- Math --- Science


Book
Algebraic geometry
Author:
ISBN: 9780821894873 Year: 2013 Publisher: Providence, Rhode Island : [Princeton, New Jersey] : American Mathematical Society ;Institute for Advanced Study

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All the mathematics you missed : but need to know for graduate school
Authors: --- ---
ISBN: 9780521792851 9780521797078 0521792851 0521797071 9780511800498 0511800495 Year: 2001 Publisher: Cambridge, UK ; New York, NY : Cambridge University Press,

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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.


Book
Electricity and magnetism for mathematicians : a guided path from Maxwell's equations to Yang-Mills
Authors: ---
ISBN: 1316235084 1316236978 1139939688 Year: 2015 Publisher: Cambridge : Cambridge University Press,

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This text is an introduction to some of the mathematical wonders of Maxwell's equations. These equations led to the prediction of radio waves, the realization that light is a type of electromagnetic wave, and the discovery of the special theory of relativity. In fact, almost all current descriptions of the fundamental laws of the universe can be viewed as deep generalizations of Maxwell's equations. Even more surprising is that these equations and their generalizations have led to some of the most important mathematical discoveries of the past thirty years. It seems that the mathematics behind Maxwell's equations is endless. The goal of this book is to explain to mathematicians the underlying physics behind electricity and magnetism and to show their connections to mathematics. Starting with Maxwell's equations, the reader is led to such topics as the special theory of relativity, differential forms, quantum mechanics, manifolds, tangent bundles, connections, and curvature.


Book
Electricity and magnetism for mathematicians : a guided path from Maxwell's equations to Yang-Mills
Authors: ---
ISBN: 9781107078208 9781107435162 Year: 2015 Publisher: New York, NY : Cambridge University Press,


Book
Algebraic geometry : a problem solving approach
Authors: --- --- --- --- --- et al.
ISBN: 9780821893968 0821893963 Year: 2013 Publisher: Providence, Rhode Island : [Princeton, New Jersey] : American Mathematical Society ; Institute for Advanced Study,

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This text consists of a series of exercises, plus some background information and explanations, starting with conics and ending with sheaves and cohomology. The first chapter on conics is appropriate for first-year college students (and many high school students). Chapter 2 leads the reader to an understanding of the basics of cubic curves, while Chapter 3 introduces higher degree curves. Both chapters are appropriate for people who have taken multivariable calculus and linear algebra. Chapters 4 and 5 introduce geometric objects of higher dimension than curves. Abstract algebra now plays a critical role, making a first course in abstract algebra necessary from this point on. The last chapter is on sheaves and cohomology, providing a hint of current work in algebraic geometry.

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