Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

517.53 --- Functions of complex variables --- Mathematical analysis --- 517.1 Mathematical analysis --- Complex variables --- 517.53 Functions of a complex variable --- Functions of a complex variable --- Elliptic functions --- Functions of real variables --- 517.1. --- Functions of complex variables. --- Mathematical analysis. --- Fonctions d'une variable complexe --- Analyse mathématique --- Analyse mathématique --- Fonctions d'une variable complexe. --- Analyse mathématique. --- 517.1

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Many texts on partial differential equations (PDEs) are too detailed and voluminous, making them daunting to the average student. This undergraduate treatment is designed as a no-frills text that explains completely but succinctly the major methods used in elementary PDEs. This text stands apart by providing full but concise explanations of the essence of the topics and many worked examples and exercises, which should facilitate a quick understanding of the material. Solution Techniques for Elementary Partial Differential Equations has been class tested with great success, and postscript files will be available to instructors for producing overhead projector transparencies for class instruction.

Differential equations --- 517.95 --- Partial differential equations --- Differential equations, Partial --- Numerical solutions. --- 517.95 Partial differential equations --- Numerical analysis --- Numerical solutions

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The unifying approach of functional analysis is to view functions as points in some abstract vector space and the differential and integral operators relating these points as linear transformations on these spaces. The author presents the basics of functional analysis with attention paid to both expository style and technical detail, while getting to interesting results as quickly as possible. The book is accessible to students who have completed first courses in linear algebra and real analysis. Topics are developed in their historical context, with accounts of the past - including biographies - appearing throughout the text. The book offers suggestions and references for further study, and many exercises. Karen Saxe is Associate Professor of Mathematics at Macalester College in St. Paul, Minnesota. She received her Ph.D. from the University of Oregon. Before joining the faculty at Macalester, she held a two-year FIPSE post-doctoral position at St. Olaf College in Northfield, Minnesota. She currently serves on the editorial board of the MAA's College Mathematics Journal. This is her first book.

Functional analysis --- Functional analysis. --- Mathematical analysis. --- Analysis (Mathematics). --- Analysis. --- 517.1 Mathematical analysis --- Mathematical analysis

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Simulating, Analyzing, and Animating Dynamical Systems: A Guide to XPPAUT for Researchers and Students provides sophisticated numerical methods for the fast and accurate solution of a variety of equations, including ordinary differential equations, delay equations, integral equations, functional equations, and some partial differential equations, as well as boundary value problems. It introduces many modeling techniques and methods for analyzing the resulting equations. Instructors, students, and researchers will all benefit from this book, which demonstrates how to use software tools to simulate and study sets of equations that arise in a variety of applications. Instructors will learn how to use computer software in their differential equations and modeling classes, while students will learn how to create animations of their equations that can be displayed on the World Wide Web. Researchers will be introduced to useful tricks that will allow them to take full advantage of XPPAUT's capabilities.

Differential equations --- Equations différentielles --- Numerical solutions --- Data processing --- Solutions numériques --- Informatique --- 517.98 --- 681.3*G4 --- Data processing. --- Functional analysis and operator theory --- Mathematical software: algorithm analysis; certification and testing; efficiency; portability; reliability and robustness; verification --- 681.3*G4 Mathematical software: algorithm analysis; certification and testing; efficiency; portability; reliability and robustness; verification --- 517.98 Functional analysis and operator theory --- 517.91 Differential equations --- Equations différentielles --- Solutions numériques --- Numerical solutions&delete& --- 517.91 --- Numerical solutions&delete&&delete&

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Evolution equations. --- Differential equations, Partial. --- Semigroups. --- Functional analysis. --- Evolution equations --- Differential equations, Partial --- Semigroups --- Functional analysis --- Mathematical analysis. --- Analysis (Mathematics). --- Analysis. --- 517.1 Mathematical analysis --- Mathematical analysis