Mathematical Modeling

This reference book compiles the recent advances in computational and experimental modeling to screen and manage Alzheimer's disease. The book discusses how computer-aided drug design approaches reduc

Designed as a textbook for a one or two-term introduction to mathematical statistics for students training to become data scientists, Foundations of Statistics for Data Scientists: With R and Python is an in-depth presentation of the topics in statistical science with which any data scientist should be familiar, including probability distributions, descriptive and inferential statistical methods, and linear modelling. The book assumes knowledge of basic calculus, so the presentation can focus on 'why it works' as well as 'how to do it.' Compared to traditional "mathematical statistics" textbooks, however, the book has less emphasis on probability theory and more emphasis on using software to implement statistical methods and to conduct simulations to illustrate key concepts. All statistical analyses in the book use R software, with an appendix showing the same analyses with Python.The book also introduces modern topics that do not normally appear in mathematical statistics texts but ar

This book deals with a careful presentation of the principles on which the physical problems are based and the mathematical treatment of the problems. The fundamental solution is used as in classical potential theory to construct solutions to initial and certain boundary value problems for the linear Stokes equations.

This handbook presents a thorugh introduction to current topics of mathematical research in combinatorial algebraic geometry. Aimed at graduate students researching algebraic combinatorics and Lie theory, and experts in the field and Mathematicians looking for a centralized reference on the geometry and combinatorics of flag varieties.

Expanding on the highly successful previous two editions, this third edition of Proton Therapy Physics has been updated throughout and includes several new chapters on “Adaptive Proton Therapy,” "Imaging for Planning,” “Flash Proton Therapy,” and “Outcome Modeling for Patient Selection.” Suitable for both newcomers in medical physics and more seasoned specialists in radiation oncology, this book provides an in-depth overview of the physics of this radiation therapy modality, eliminating the need to dig through information scattered across medical physics literature. After tracing the history of proton therapy, this book explores the atomic and nuclear physics background necessary for understanding proton interactions with tissue. The text then covers dosimetry, including beam delivery, shielding aspects, computer simulations, detector systems, and measuring techniques for reference dosimetry.Important for daily operations, acceptance testing, commissioning, quality assurance, and monit