Rachel Levy – författare

This textbook provides beginning graduate students and advanced undergraduates with an accessible introduction to the rich subject of partial differential equations (PDEs). It presents a rigorous and clear explanation of the more elementary theoretical aspects of PDEs, while also drawing connections to deeper analysis and applications. The book serves as a needed bridge between basic undergraduate texts and more advanced books that require a significant background in functional analysis. Topics include first order equations and the method of characteristics, second order linear equations, wave and heat equations, Laplace and Poisson equations, and separation of variables. The book also covers fundamental solutions, Green's functions and distributions, beginning functional analysis applied to elliptic PDEs, traveling wave solutions of selected parabolic PDEs, and scalar conservation laws and systems of hyperbolic PDEs.* Provides an accessible yet rigorous introduction to partial differential equations* Draws connections to advanced topics in analysis* Covers applications to continuum mechanics* An electronic solutions manual is available only to professors* An online illustration package is available to professors

Written for high school students who have some experience with computation and an interest in math modeling, this handbook is designed to take you from basic graphic calculator or spreadsheet experience to the next level, which includes programming basics, working with large data sets, and visualization techniques. The handbook is also written for teachers who will assist students as they incorporate software into the math modeling process. This companion volume to Math Modeling: Getting Started and Getting Solutions (SIAM, 2014) takes you beyond the basic process of mathematical modeling to technical computing using software platforms and coding.Math modeling is the process that uses mathematics to represent, analyze, make predictions, or otherwise provide insight into real-world phenomena. The authors Bliss, Galluzzo, Kavanagh, and Levy are experienced professional practitioners of modeling. They provide professional development for teachers, have developed and judge modeling contests, and teach modeling in their own classrooms.Topics include computations, statistics, visualization, programming, and simulation. Primary examples recur throughout the handbook to show multiple ways technology can help tackle the same problem. A separate section, Choosing Your Tech Tool, and an appendix that shares a collection of “best practices” when writing code offer more good advice for readers. References are included.

Jobs using mathematics, statistics, and operations research are projected to grow by almost 30% over the next decade. BIG Jobs Guide helps job seekers at every stage of their careers in these fields explore opportunities in business, industry, and government (BIG). Written in a conversational and practical tone, BIG Jobs Guide offers insight on topics such as: What skills can I offer employers? How do I write a high-impact resumé? Where can I find a rewarding internship? What kinds of jobs are out there for me? The Guide also offers insights to advisors and mentors on topics such as how departments can help students get BIG jobs and how faculty members and internship mentors can build institutional relationships.Whether you’re an undergraduate or graduate student or a job seeker in applied mathematics, statistics, computer science, or operations research, this hands-on book will help you reach your goal, whether landing an internship, getting your first job or transitioning to a new one.