Set Theory

The two works titled What Are and What Should the Numbers Be? (1888) and Continuity and Irrational Numbers (1872) are Dedekind's contributions to t...

The fractional Laplacian, also called the Riesz fractional derivative, describes an unusual diffusion process associated with random excursions. Th...

Mathematical Theory of Fuzzy Sets presents the mathematical theory of non-normal fuzzy sets such that it can be rigorously used as a basic tool to ...

In this volume, logic starts from the observation that in everyday arguments, as brought forward by say a lawyer, statements are transformed lingui...

The transition from school mathematics to university mathematics is seldom straightforward. Students are faced with a disconnect between the algori...

Puzzle and Proof: A Decade of Problems from the Utah Math Olympiad is a compilation of the problems and solutions for the first 10 years of the Uta...

Puzzle and Proof: A Decade of Problems from the Utah Math Olympiad is a compilation of the problems and solutions for the first 10 years of the Uta...

Primarily designed for graduate students of mathematics, this textbook delves into Naïve set theory, offering valuable insights for senior undergra...

Introduction to Mathematical Proofs helps students develop the necessary skills to write clear, correct, and concise proofs.Unlike similar textbook...

Although sequent calculi constitute an important category of proof systems, they are not as well known as axiomatic and natural deduction systems. ...

Winner of a CHOICE Outstanding Academic Title Award for 2011!This book offers an introduction to modern ideas about infinity and their implications...

The new edition of this classic textbook, Introduction to Mathematical Logic, Sixth Edition explores the principal topics of mathematical logic. It...

Combinatory logic is one of the most versatile areas within logic that is tied to parts of philosophical, mathematical, and computational logic. Fu...

Strange Functions in Real Analysis, Third Edition differs from the previous editions in that it includes five new chapters as well as two appendice...

This book provides a one-semester undergraduate introduction to counterexamples in calculus and analysis. It helps engineering, natural sciences, a...

Starting with the most basic notions, Universal Algebra: Fundamentals and Selected Topics introduces all the key elements needed to read and unders...

This volume showcases some of the up-and-coming voices of an emerging field - the philosophy of set theory - which in recent years has gained promi...

This monograph is a testament to the potency of the method of singular integrals of layer potential type in solving boundary value problems for wea...