Introduction to Proofs is an undergraduate text. It is Inquiry-Based, sometimes called the Discovery Method or the Moore Method.
Introduction to Proofs, an Inquiry-Based Approach: A Free text for a course on proofs
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Mathematics
Statistical Mechanics: Entropy, Order Parameters, and Complexity
This text is careful to address the interests and background not only of physicists, but of sophisticated students and researchers in mathematics, biology, engineering, computer science, and the social sciences.
Mathematical Tools for Physics
The way to get an intuitive understanding of the mathematics and of the physics is to analyze your solution thoroughly. Does it make sense? There are almost always several parameters that enter the problem, so what happens to your solution when you push these parameters to their limits?
Online Statistics Education: An Interactive Multimedia Course of Study
A resource for learning and teaching introductory statistics. This resource features interactive demonstrations and simulations, case studies, and an analysis lab.
Calculus: Early Transcendentals
To practice and develop an understanding of topics, this text offers a range of problems, from routine to challenging, with selected solutions. As this is an open text, instructors and students are encouraged to interact with the textbook through annotating, revising, and reusing to your advantage. Suggestions for contributions to this growing textbook are welcome.
Uses of Technology in Upper Secondary Mathematics Education
This survey addresses the use of technology in upper secondary mathematics education from four points of view: theoretical analysis of epistemological and cognitive aspects of activity in new technology mediated learning environments, the changes brought by technology in the interactions between environment, students and teachers, the interrelations between mathematical activities and technology, skills and competencies that must be developed in teacher education.
Immersive Linear Algebra
A linear algebra book with interactive illustration. These figures will make it easier and faster to digest and to learn linear algebra. The idea is to start each chapter with an intuitive concrete example that practically shows how the math works using interactive illustrations.
The Gamma Function
The Gamma Function is the finest book dedicated to the topic of the Gamma function. It is concise and thorough, covering the most important aspects of Gamma. Written in an easily understandable manner, the book is well-suited for advanced undergraduates in science and mathematics.
Advances in Discrete Differential Geometry
In this book we take a closer look at discrete models in differential geometry and dynamical systems. The curves used are polygonal, surfaces are made from triangles and quadrilaterals, and time runs discretely.