Function Spaces and Potential Theory

Function Spaces and Potential Theory
Author: David R. Adams
Publisher: Springer Science & Business Media
Total Pages: 372
Release: 2012-12-06
Genre: Mathematics
ISBN: 3662032821

"..carefully and thoughtfully written and prepared with, in my opinion, just the right amount of detail included...will certainly be a primary source that I shall turn to." Proceedings of the Edinburgh Mathematical Society

Implicit Functions and Solution Mappings

Implicit Functions and Solution Mappings
Author: Asen L. Dontchev
Publisher: Springer
Total Pages: 495
Release: 2014-06-18
Genre: Mathematics
ISBN: 149391037X

The implicit function theorem is one of the most important theorems in analysis and its many variants are basic tools in partial differential equations and numerical analysis. This second edition of Implicit Functions and Solution Mappings presents an updated and more complete picture of the field by including solutions of problems that have been solved since the first edition was published, and places old and new results in a broader perspective. The purpose of this self-contained work is to provide a reference on the topic and to provide a unified collection of a number of results which are currently scattered throughout the literature. Updates to this edition include new sections in almost all chapters, new exercises and examples, updated commentaries to chapters and an enlarged index and references section.

Advanced R

Advanced R
Author: Hadley Wickham
Publisher: CRC Press
Total Pages: 669
Release: 2015-09-15
Genre: Mathematics
ISBN: 1498759807

An Essential Reference for Intermediate and Advanced R Programmers Advanced R presents useful tools and techniques for attacking many types of R programming problems, helping you avoid mistakes and dead ends. With more than ten years of experience programming in R, the author illustrates the elegance, beauty, and flexibility at the heart of R. The book develops the necessary skills to produce quality code that can be used in a variety of circumstances. You will learn: The fundamentals of R, including standard data types and functions Functional programming as a useful framework for solving wide classes of problems The positives and negatives of metaprogramming How to write fast, memory-efficient code This book not only helps current R users become R programmers but also shows existing programmers what’s special about R. Intermediate R programmers can dive deeper into R and learn new strategies for solving diverse problems while programmers from other languages can learn the details of R and understand why R works the way it does.

A Concept of Limits

A Concept of Limits
Author: Donald W. Hight
Publisher: Courier Corporation
Total Pages: 164
Release: 2012-07-17
Genre: Mathematics
ISBN: 0486153126

An exploration of conceptual foundations and the practical applications of limits in mathematics, this text offers a concise introduction to the theoretical study of calculus. Many exercises with solutions. 1966 edition.

Mathematics for Physical Chemistry

Mathematics for Physical Chemistry
Author: Robert G. Mortimer
Publisher: Elsevier
Total Pages: 406
Release: 2005-06-10
Genre: Science
ISBN: 0080492886

Mathematics for Physical Chemistry, Third Edition, is the ideal text for students and physical chemists who want to sharpen their mathematics skills. It can help prepare the reader for an undergraduate course, serve as a supplementary text for use during a course, or serve as a reference for graduate students and practicing chemists. The text concentrates on applications instead of theory, and, although the emphasis is on physical chemistry, it can also be useful in general chemistry courses. The Third Edition includes new exercises in each chapter that provide practice in a technique immediately after discussion or example and encourage self-study. The first ten chapters are constructed around a sequence of mathematical topics, with a gradual progression into more advanced material. The final chapter discusses mathematical topics needed in the analysis of experimental data. - Numerous examples and problems interspersed throughout the presentations - Each extensive chapter contains a preview, objectives, and summary - Includes topics not found in similar books, such as a review of general algebra and an introduction to group theory - Provides chemistry specific instruction without the distraction of abstract concepts or theoretical issues in pure mathematics

Foundations of Differential Calculus

Foundations of Differential Calculus
Author: Euler
Publisher: Springer Science & Business Media
Total Pages: 208
Release: 2006-05-04
Genre: Mathematics
ISBN: 0387226451

The positive response to the publication of Blanton's English translations of Euler's "Introduction to Analysis of the Infinite" confirmed the relevance of this 240 year old work and encouraged Blanton to translate Euler's "Foundations of Differential Calculus" as well. The current book constitutes just the first 9 out of 27 chapters. The remaining chapters will be published at a later time. With this new translation, Euler's thoughts will not only be more accessible but more widely enjoyed by the mathematical community.