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totalt 153 träffar
Understanding Analysis
This lively introductory text exposes the student to the rewards of a rigorous study of functions of a real variable. In each chapter, informal discussions of questions that give …
Complex Analysis
This text acts as an introduction to complex analysis for students with a basic knowledge of complex numbers. Topics covered include Julia sets and the Mandelbrot set, Dirichlet …
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 …
Introduction to Linear Algebra
This is a short text in linear algebra, intended for a one-term course. In the first chapter, Lang discusses the relation between the geometry and the algebra underlying the …
The Laplace Transform
The Laplace transform is a wonderful tool for solving ordinary and partial differential equations and has enjoyed much success in this realm. With its success, however, a certain …
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, …
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 …
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 …
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 …
Mathematical Vistas
Focusing YourAttention We have called this book Mathematical Vistas because we have already published a companion book MathematicalRefiections in the same series;1 indeed, the two …
Introduction to Calculus and Classical Analysis
This text is intended for an honors calculus course or for an introduction to analysis. Involving rigorous analysis, computational dexterity, and a breadth of applications, it is …
Differential Equations
Goals and Emphasis of the Book Mathematicians have begun to find productive ways to incorporate computing power into the mathematics curriculum. There is no attempt here to use …