The first complete proof of Arnold diffusion―one of the most important problems in dynamical systems and mathematical physicsArnold diffusion, which concerns the appearance of chaos in classical...

Computability theory is a branch of mathematical logic and computer science that has become increasingly relevant in recent years. The field has developed growing connections in diverse areas of...

A translation of selected non-English texts included in Volume 16 is available in paperback. Since this supplementary paperback includes only select portions of Volume 16, it is not recommended for...

"Surgery theory, a subfield of geometric topology, is the study of the classifications of manifolds. A Course on Surgery Theory offers a modern look at this important mathematical discipline and some...

"In June of 2014, a conference was held in William Thurston's honor called "What's Next? the mathematical legacy of Bill Thurston." This volume includes papers from conference presenters and...

A definitive scholarly edition of the correspondence and papers of Albert EinsteinDuring the period covered by this volume, Einstein aims to discover whether one can derive the electron’s equations...

This book introduces combinatorial analysis to the beginning student. The author begins with the theory of permutation and combinations and their applications to generating functions. In subsequent...

A groundbreaking approach to scale and scaling in ecological theory and practiceScale is one of the most important concepts in ecology, yet researchers often find it difficult to find ecological...

Why collaborations in STEM fields succeed or fail and how to ensure successOnce upon a time, it was the lone scientist who achieved brilliant breakthroughs. No longer. Today, science is done in teams...