This book provides a systematic treatment of the main results on the Morse index of minimal submanifolds of Riemannian manifolds. After an introductory chapter reviewing the necessary material, this book provides a survey of the basic properties of the Morse index, as well as a large number of examples of minimal submanifolds with the ......
This volume contains selected papers based on presentations given at the AMS Special Session on Inverse Problems: In Memory of Professor Zbigniew Oziewicz at the AMS Fall Western Sectional Meeting, held virtually on October 23-24, 2021, a year after the unfortunate passing of our friend and frequent participant of the sessions Professor Zbigniew ......
This volume contains the proceedings of IDPEIS-22: Isomonodromic Deformations, Painleve Equations, and Integrable Systems, held virtually June 27-July 1, 2022, hosted by Columbia University, and AGMPS-22: Algebraic Geometry, Mathematical Physics, and Solitons, held October 7-9, 2022, at Columbia University, New York, NY. This volume is dedicated ......
The theory of positive or completely positive maps from one matrix algebra to another is the mathematical theory underlying the quantum mechanics of finite systems, as well as much of quantum information and computing. Inequalities are fundamental to the subject, and a watershed event in its development was the proof of the strong subadditivity of ......
The theory of positive or completely positive maps from one matrix algebra to another is the mathematical theory underlying the quantum mechanics of finite systems, as well as much of quantum information and computing. Inequalities are fundamental to the subject, and a watershed event in its development was the proof of the strong subadditivity of ......
This textbook is designed for an undergraduate course in computational or experimental mathematics. Many of the most interesting and important topics in theoretical mathematics are both motivated and illuminated by computation. By using a computer to explore and investigate mathematical phenomena, students are encouraged to conduct experiments and ......
This volume contains the proceedings of the AMS Special Session on Orthogonal Polynomials and their Applications, held January 4-7, 2023, in Boston as part of the Joint Mathematics Meetings. Orthogonal polynomials are classical objects with important connections to many areas of mathematics, such as approximation theory, integrable systems, and ......
This volume contains the proceedings of the AMS Special Session on Recent Advanced in Differential Geometry, held virtually on April 1-2, 2023, and the Tenth Congress of Romanian Mathematicians Special Session on Recent Advances in the Geometry of Submanifolds, held on June 30-July 5, 2023, in Pitesti, Romania. In the last two decades, various ......
The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All ......
