This volume contains a variety of problems from classical set theory. Many of these problems are also related to other …
This is an up-to-date textbook of model theory taking the reader from first definitions to Morley's theorem and the elementary …
The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and …
Solutions manual developed by Roger Cooke of the University of Vermont, to accompany Principles of Mathematical Analysis, by Walter Rudin.
This article develops the basics of the Lebesgue integral and measure theory. In terms of content, it adds nothing new …
Analytical Mechanics is the investigation of motion with the rigorous tools of mathematics. Rooted in the works of Lagrange, Euler, …
Partial differential equations are fundamental to the modeling of natural phenomena. The desire to understand the solutions of these equations …
In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems …
An excellent undergraduate text examines sets and structures, limit and continuity in En, measure and integration, differentiable mappings, sequences and …
Outlines theory and techniques of calculus, emphasizing strong understanding of concepts, and the basic principles of analysis. Reviews elementary and …
The book could be a good companion for any graduate student in partial differential equations or in applied mathematics. Each …
Algorithmic Graph Theory and Perfect Graphs, first published in 1980, has become the classic introduction to the field. This new …
Success in your calculus course starts here! James Stewart's CALCULUS: EARLY TRANSCENDENTALS texts are world-wide best-sellers for a reason: they …
A lively invitation to the flavor, elegance, and power of graph theoryThis mathematically rigorous introduction is tempered and enlivened by …
The content is well-presented and instructive. My main gripe with this book is the very low quality paperback edition. Had …
The book contains the methods and bases of functional analysis that are directly adjacent to the problems of numerical mathematics …
This user-friendly introduction to the key concepts of mathematical logic focuses on concepts that are used by mathematicians in every …
Translated from the French, this book is an introduction to first-order model theory. Starting from scratch, it quickly reaches the …
This undergraduate textbook covers the key material for a typical first course in logic, in particular presenting a full mathematical …
This textbook covers the key material for a typical first course in logic for undergraduates or first-year graduate students, in …
This monograph presents necessary and sufficient conditions for completeness of the linear span of eigenvectors and generalized eigenvectors of operators …
Together, Models and Computability and its sister volume Sets and Proofs provide readers with a comprehensive guide to the current …
In this text for first-year graduate students, the authors provide an elementary exposition of some of the basic concepts of …
Imre Lakatos's Proofs and Refutations is an enduring classic, which has never lost its relevance. Taking the form of a …
This concise, readable, college-level text treats basic abstract algebra in remarkable depth and detail. An antidote to the usual surveys …
Isaac's love for algebra and his more than 25 years of teaching experience in mathematics is evident throughout the book. …
Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure …