This textbook develops the fundamental skills of numerical analysis: designing numerical methods, implementing them in computer code, and analyzing their accuracy and efficiency. A number of mathematical problems-interpolation, integration, linear systems, zero finding, and differential equations-are considered, and some of the most important ......
Unexpected Stories of Mathematical Americans through History
Once upon a time in America, few knew or cared about math. In Republic of Numbers, David Lindsay Roberts tells the story of how all that changed, as America transformed into a powerhouse of mathematical thinkers. Covering more than 200 years of American history, Roberts recounts the life stories of twenty-three ......
A little bucket, one-third full, is 8 inches deep, and its upper and lower diameters are 7 inches and 6 inches, respectively. How large is the frog which, jumping into the bucket, causes the water to rise 3 inches? Word problems not unlike this example are a staple on math tests and of abiding interest to students, teachers, and professional ......
This monograph offers a comprehensive and accessible treatment of both classical and modern approaches to the stability analysis of nonlinear waves in Hamiltonian systems. Starting with a review of stability of equilibrium points and periodic orbits in finite-dimensional systems, it advances to the infinite-dimensional setting, addressing orbital ......
The spread of memes and misinformation on social media, political redistricting, gentrification in urban communities, pedestrian movement in crowds, and the dynamics of voters are among the many social phenomena that researchers investigate in the field of complex systems. In the study of complex social systems, there is also often societal ......
Linear Algebra and Matrix Methods provides students with an introduction to the fundamental aspects of linear algebra and matrix theory. The book emphasizes the importance of material in various fields such as physics, engineering, economics, and more. The structure of the book is methodical, beginning with basic concepts and gradually ......
Topology is the field of mathematics that studies those properties of a shape which persist when the shape gently evolves and changes its specific form. This book gives a playful and intuitive introduction to topology, favoring simple and crisp illustrations over long explanations and formal definitions. The material includes some of the classic ......
This volume contains the proceedings of the BIRS Workshop ""Topics in Multiple Time Scale Dynamics"", held from November 27- December 2, 2022, at the Banff International Research Station, Banff, Alberta, Canada. The area of multiple-scale dynamics is rapidly evolving, marked by significant theoretical breakthroughs and practical applications. The ......
This book presents the basics of quantum computing and quantum information theory. It emphasizes the mathematical aspects and the historical continuity of both algorithms and information theory when passing from classical to quantum settings. The book begins with several classical algorithms relevant for quantum computing and of interest in their ......
