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Elements of Mathematics - From euclid to Gödel

"The coherence of mathematics is on display in this masterful, beautifully written synthesis. With probing questions, lucid explanations,...

Modern Mathematical Logic

This book, meant for undergraduate mathematics students and teachers, introduces algebraic number theory through problems from ordinary n...

Algorithmic Composition - Paradigms of Automated Music Generation

Algorithmic composition - composing by means of formalizable methods - has a century old tradition not only in occidental music history. ...

Karl Menger, Ergebnisse eines Mathematischen Kolloquiums - Ergebnisse eines Mathematischen Kolloquiums

Die von Karl Menger und seinen Mitarbeitern (darunter Kurt Gödel) herausgegebenen "Ergebnisse eines Mathematischen Kolloquiums" zählen zu...

An Introduction to the Language of Mathematics

This is a textbook for an undergraduate mathematics major transition course from technique-based mathematics (such as Algebra and Calculu...

Applied Linear Algebra and Matrix Analysis

This new book offers a fresh approach to matrix and linear algebra by providing a balanced blend of applications, theory, and computation...

Logics of Proofs and Justifications

Justification logics are closely related to modal logics and can be viewed as a refinement of the latter with machinery for justification...

Proofs and Fundamentals - A First Course in Abstract Mathematics

This textbook is designed to introduce undergraduates to the writing of rigorous mathematical proofs, and to fundamental mathematical ide...

INFINITY AND TRUTH

This volume is based on the talks given at the Workshop on Infinity and Truth held at the Institute for Mathematical Sciences, National U...

An Invitation to Model Theory

An innovative and largely self-contained textbook bringing model theory to an undergraduate audience.

ACTA Numerica 2023: Volume 32

Acta Numerica is an annual publication containing invited survey papers by leading researchers in numerical mathematics and scientific co...

Elements of ∞-Category Theory

The language of -categories provides an insightful new way of expressing many results in higher-dimensional mathematics but can be challe...

Triangulated Manifolds

Written from a Computational Topology point-of-view the intention of this book is to provide the reader with an easy and up-to-date acces...

1-Dimensional Flow Arrays and Bifurcations in Planar Polynomial Systems

This book introduces to 1-dimensional flow arrays and bifurcations in planar polynomial systems. The 1-dimensional source, sink and saddl...

Beautiful Math - The Surprisingly Simple Ideas Behind the Digital Revolution in How We Live, Work, and Communicate

From the bestselling author of Quantum Computing for Everyone, a concise, accessible, and elegant approach to mathematics that not only i...

Limit Cycles and Homoclinic Networks in Two-Dimensional Polynomial Systems

This book is a monograph about limit cycles and homoclinic networks in polynomial systems. The study of dynamical behaviors of polynomial...

Puzzle and Proof - A Decade of Problems from the Utah Math Olympiad

This book is a compilation of the problems and solutions for the first ten years of the Utah Math Olympiad. The problems are challenging ...

Attack-and-Defense Games for Control Systems - Analysis and Synthesis

This work focuses on resilience estimation and control of cyber-physical networked systems using attacker-defender game theory. It presen...

I-Function and its Applications

This book presents the essential role of Mathematical Modeling and Computational Methods in representing physical phenomena mathematicall...

Quantitative Literacy Through Games and Gambling

This book was developed to address a need. Quantitative Literacy courses have been established in the mathematics curriculum for decades ...

Basic Oka Theory in Several Complex Variables

This book provides a new, comprehensive, and self-contained account of Oka theory as an introduction to function theory of several comple...

Mathematics of Tabletop Games

This book provides a bridge between mathematics and hobby tabletop gaming. Readers interested in either mathematics or tabletop games wil...

From Counting to Continuum - What Are Real Numbers, Really?

Introduction to Integral Calculus

Introduction to mathematical philosophy