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Linear Algebra
Linear algebra is the branch of mathematics that has grown from a care ful study of the problem of solving systems of linear equations. The ideas that developed in this way have …
Beginning Functional Analysis
This book is designed as a text for a first course on functional analysis for ad vanced undergraduates or for beginning graduate students. It can be used in the undergraduate …
Topological Spaces
This book is a text, not a reference, on Point-set Topology. It addresses itself to the student who is proficient in Calculus and has some experience with mathematical rigor, …
Rational Points on Elliptic Curves
The theory of elliptic curves involves a pleasing blend of algebra, geometry, analysis, and number theory. "Rational Points on Elliptic Curves" stresses this interplay as it …
Linear Algebra
The original version of this book, handed out to my students in weekly in stallments, had a certain rugged charm. Now that it is dressed up as a Springer UTM volume, I feel very …
Combinatorics and Graph Theory
There are certain rules that one must abide by in order to create a successful sequel. — Randy Meeks, from the trailer to Scream 2 While we may not follow the precise rules that …
A Field Guide to Algebra
This is a small book on algebra where the stress is laid on the structure of ?elds, hence its title. Youwillhearaboutequations,bothpolynomialanddi?erential,andabout the algebraic …
Inside Calculus
The approach taken by this book is based on two beliefs. The first is that almost nobody understands calculus fully the first time around: multiple exposures are required. The …
Transformation Geometry
Transformation geometry is a relatively recent expression of the successful venture of bringing together geometry and algebra. The name describes an approach as much as the …
An Introduction to Probabilistic Modeling
Introduction to the basic concepts of probability theory: independence, expectation, convergence in law and almost-sure convergence. Short expositions of more advanced topics such …
General Topology
This book is a course in general topology, intended for students in the first year of the second cycle (in other words, students in their third univer sity year). The course was …
Dynamic Topology
It is a privilege for me to write a foreword for this unusual book. The book is not primarily a reference work although many of the ideas and proofs are explained more clearly here …