The material for this volume is based on the 13th New Mexico Analysis Seminar held at the University of New Mexico, April 3-4, 2014 and on several special sections of the Western Spring Sectional Meeting at the University of New Mexico, April 4-6, 2014. During the event, participants honored the memory of Cora Sadosky—a great mathematician who recently passed away and who made significant contributions to the field of harmonic analysis. Cora was an exceptional mathematician and human being. She was a world expert in harmonic analysis and operator theory, publishing over fifty-five research papers and authoring a major textbook in the field. Participants of the conference include new and senior researchers, recent doctorates as well as leading experts in the area.

]]>The material for this volume is based on the 13th New Mexico Analysis Seminar held at the University of New Mexico, April 3-4, 2014 and on several special sections of the Western Spring Sectional Meeting at the University of New Mexico, April 4-6,2014. During the event, participants honored the memory of Cora Sadosky—a great mathematician who recently passed away and who made significant contributions to the field of harmonic analysis. Cora was an exceptional scientist and human being. She was a world expert in harmonic analysis and operator theory, publishing over fifty-five research papers and authoring a major textbook in the field. Participants of the conference include new and senior researchers, recent doctorates as well as leading experts in the area.

]]>**Features:**

- The first book entirely devoted to the Rogers—Ramanujan identities.
- Prerequisites kept to a minimum, although a certain level of mathematical sophistication will be required.
- Material is presented in a generally historical order, but author does not hesitate to (anachronistically) bring in modern tools as necessary when doing so will greatly simplify the presentation.
- Previously unpublished primary source historical material will be included as appropriate.

The book contains chapters that present differential equations and illustrate how Maple V can be used to solve some typical problems. The text covers topics on differential equations such as first-order ordinary differential equations, higher order differential equations, power series solutions of ordinary differential equations, the Laplace Transform, systems of ordinary differential equations, and Fourier Series and applications to partial differential equations. Applications of these topics are also provided.

Engineers, computer scientists, physical scientists, mathematicians, business professionals, and students will find the book useful.

]]>Key Features:

* Updated to be completely compatible with Maple V, Release 5

* Complete coverage of constructing and numerically computing ordinary and partial differential equations using Maple V

* New applications from engineering, physics, and biology

* Presentation of Maple V with respect to popular applications of mathematics

* Step-by-step instructions for all Maple V implementations

* Includes CD-ROM with all Maple V example code from book

Compatible with Maple V, Release 2; topical coverage includes Calculus, Linear Algebra, Ordinary and Partial Differential Equations, and Selected Graphics Topics; designed for Maple V beginners; a valuable addition to any Maple V owner's library; presentation geared toward popular applications of mathematics; step-by-step instructions for all Maple V implementations.

]]>* Updated to be completely compatible with Maple V version 5

* Designed for Maple V beginners, as well as experienced users

*New applications from a variety of fields, with emphasis on biology, physics, and engineering, are included throughout the text

* Additional examples, especially in chapters one through seven, should make this edition even more useful to instructors, students, business people, engineers, and other professionals using Maple V

* Step-by-step instructions for all Maple V implementations

* Updated coverage of Maple features and functions

* Backwards compatible for all versions

* New applications from a variety of fields, including biology, physics and engineering

* Expanded topics with many additional examples

The book contains chapters that present differential equations and illustrate how Mathematica can be used to solve some typical problems. The text covers topics on differential equations such as first-order ordinary differential equations, higher order differential equations, power series solutions of ordinary differential equations, the Laplace Transform, systems of ordinary differential equations, and Fourier Series and applications to partial differential equations. Applications of these topics are provided as well.

Engineers, computer scientists, physical scientists, mathematicians, business professionals, and students will find the book useful.

]]>Key Features

* Focuses on the most often used features of *Mathematica* for the beginning *Mathematica* user

* CD-ROM contains all *Mathematica* inputs from the text

* New applications from a variety of fields, including engineering, biology, and physics

* All applications were completed using version 3.0 of *Mathematica*

* Focuses on the most often used features of Mathematica for the beginning Mathematica user

* New applications from a variety of fields, including engineering, biology, and physics

* All applications were completed using recent versions of Mathematica

Mathematica’s diversity makes it particularly well suited to performing calculations encountered when solving many ordinary and partial differential equations. In some cases, Mathematica’s built-in functions can immediately solve a differential equation by providing an explicit, implicit, or numerical solution. In other cases, mathematica can be used to perform the calculations encountered when solving a differential equation.

Because one goal of elementary differential equations courses is to introduce students to basic methods and algorithms so that they gain proficiency in them, nearly every topic covered this book introduces basic commands, also including typical examples of their application. A study of differential equations relies on concepts from calculus and linear algebra, so this text also includes discussions of relevant commands useful in those areas. In many cases, seeing a solution graphically is most meaningful, so the book relies heavily on Mathematica’s outstanding graphics capabilities.

- Demonstrates how to take advantage of the advanced features of Mathematica 10
- Introduces the fundamental theory of ordinary and partial differential equations using Mathematica to solve typical problems of interest to students, instructors, scientists, and practitioners in many fields
- Showcases practical applications and case studies drawn from biology, physics, and engineering

The book combines symbolic manipulation, numerical mathematics, outstanding graphics, and a sophisticated programming language. It is comprised of 10 chapters. Chapter 1 gives a brief background of the software and how to install it in the computer. Chapter 2 introduces the essential commands of Mathematica. Basic operations on numbers, expressions, and functions are introduced and discussed. Chapter 3 provides Mathematica's built-in calculus commands. The fourth chapter presents elementary operations on lists and tables. This chapter is a prerequisite for Chapter 5 which discusses nested lists and tables in detail. The purpose of Chapter 6 is to illustrate various computations Mathematica can perform when solving differential equations. Chapters 7, 8, and 9 introduce Mathematica Packages that are not found in most Mathematica reference book. The final chapter covers the Mathematica Help feature.

Engineers, computer scientists, physical scientists, mathematicians, business professionals, and students will find the book useful.

]]>The book combines symbolic manipulation, numerical mathematics, outstanding graphics, and a sophisticated programming language. It is comprised of 7 chapters. Chapter 1 gives a brief background of the software and how to install it in the computer. Chapter 2 introduces the essential commands of Mathematica. Basic operations on numbers, expressions, and functions are introduced and discussed. Chapter 3 provides Mathematica's built-in calculus commands. The fourth chapter presents elementary operations on lists and tables. This chapter is a prerequisite for Chapter 5 which discusses nested lists and tables in detail. The purpose of Chapter 6 is to illustrate various computations Mathematica can perform when solving differential equations. Chapter 7 discusses some of the more frequently used commands contained in various graphics packages available with Mathematica.