Dr. Frederick W. Chapman

93 Reputation

7 Badges

13 years, 287 days
F.W. Chapman Solutions
Technical Consultant, Research Scientist, and Business Owner
Bethlehem, Pennsylvania, United States

Social Networks and Content at Maplesoft.com


Frederick W. Chapman, PhD

I am a research mathematician and an expert on mathematical software. I completed my PhD in Applied Mathematics with a specialization in computer algebra and symbolic computation in 2003 at the University of Waterloo. My PhD supervisor was Prof. Keith O. Geddes, co-inventor of the Maple computer algebra system. In my PhD thesis, I invented an infinite parameterized family of bilinear series expansions for multivariate functions, which I named Geddes series expansions in honor of my thesis supervisor.

Geddes series are more general than both Taylor series and Fourier series since the terms of a Geddes series can contain arbitrary functions. The Geddes series family is more versatile than traditional series expansions because the parameters of the Geddes series family are not numbers, or even functions, but rather linear functionals on function spaces. Geddes series have dozens of computational applications ranging from the fast and accurate approximation of high-dimensional multiple integrals to the automatic derivation and proof of multivariate identities for elementary and special functions.

To secure independent funding for my research program and provide the resources needed to develop Geddes series to their full potential, I founded F.W. Chapman Solutions, an interdisciplinary consulting firm which blends information technology with visual arts and mathematical sciences.

What can my company do for you?

My firm's Professional Services Division has the expertise and equipment to provide complete solutions which seamlessly blend four strategic areas:

1. Mathematical Software

• Consulting
• Onsite/Online Training
• Coding, Testing, Debugging

2. e-Learning

• Computer-Based Training
• Automated Quizzes/Tests
• Online Courses

3. Web Design & Database Applications

• Websites, Blogs, Photo Galleries
• e-Commerce, User Accounts
• Databases, Online Forms
• Online Marketing, Social Media
• Web Analytics, SEO

4. Digital Photography & Post Production

• Advanced Digital Imaging Lab, Online Photo Library
• Retouching/Compositing, Captioning/Keywording
• Online Searching/Browsing/Proofing/Ordering
• Mobile Photo Studio, On-Location Photo Shoots
• Business Portraits, Product Shots
• Architectural Interiors/Exteriors, Cultural/Social Events

My Commercial Products Division develops targeted information products to sell online and sells photos as digital downloads and prints. My Scientific Research Division does original research in mathematics and computing and uses the results to develop more powerful mathematical software and better digital image processing algorithms.

Why should you hire my company?

I am a university professor turned entrepreneur — a scientist, technologist, and artist with decades of experience solving complex problems in a wide range of disciplines. My company uses industry-leading tools to provide innovative, cost-effective, reliable solutions for businesses, professionals, artists, performers, educators, researchers, and other clients.

When you need proven solutions from an experienced professional problem solver, you need F.W. Chapman Solutions. I thank you for your business!



F.W. Chapman Solutions

F.W. Chapman Solutions is a vibrant synthesis of information technology, visual arts, and mathematical sciences. Founded by professor-turned-entrepreneur Frederick W. Chapman, PhD, the company provides an integrated suite of professional services on a freelance basis, develops its own line of targeted information products to sell online, and conducts independent scientific research for scholarly publication and future commercialization. Here is a brief overview of the company's areas of expertise.

Professional Services

• Mathematical Software Consulting
• e-Learning & Computer-Based Training
• Web Design & Database Applications
• Digital Photography & Post Production

Commercial Products

• e-Books, e-Courses, e-Manuals
• Photo Downloads & Prints

Scientific Research

• Computational Functional Analysis
• Multivariate Interpolation/Approximation
• Multilinear Algebra, Matrix Analysis
• Computer Algebra, Symbolic Computation
• Symbolic-Numeric Methods, Parallel Algorithms

For more information about F.W. Chapman Solutions, please visit the company website, blog, and photo library:





MaplePrimes Activity

These are Posts that have been published by fwchapman

Twitter, LinkedIn, and Facebook all have buttons/badges to allow users to promote their profiles/pages on their own external websites.  Does MaplePrimes have anything similar?  MaplePrimes members would love it, and it would it be a great way to raise the visibility of MaplePrimes on the vast web landscape. For comparison, here are the pages where Twitter, LinkedIn, and Facebook supply their buttons/badges:




I formed the Maple Global Network group on LinkedIn to bring together users, developers, clients, consultants, academics, and professionals worldwide who do technical computing with Maple and related Maplesoft products like MapleSim, Maple T.A., and MapleNet.  (To learn how MaplePrimes and the Maple Global Network complement each other, please see this forum post.)  I cordially invite all MaplePrimes members to join the Maple Global Network today!

To mark the end of eleven very fruitful years in residence at the University of Waterloo, I have written a goodbye essay. The title and abstract appear below, along with a link to the full text. The essay describes my long-term research goals and presents my personal vision for the future of the areas of mathematics in which I work.
MaplePrimes own Jim Herod has a wonderful set of lecture notes—accompanied by a collection of Maple worksheets—which introduce linear operators on infinite-dimensional Hilbert spaces to beginning graduate students in science and engineering. Entitled Linear Algebra, Infinite Dimensions, and Maple, these notes were developed from a one quarter course which Prof. Herod taught many times at the Georgia Institute of Technology. The notes are very concise and have been refined and improved many times over the years in response to student feedback.
I generally use MaplePrimes from Internet Explorer 6.0 in Windows 98SE with my screen resolution set to 800x600. In this configuration, I sometimes have problems reading the contents of text boxes at the far right of the screen. For example, this happens whenever I post a comment or send a private message. The problem is that the text is not displayed because it is overwritten by the lists of Active Forum Topics, Recent Blog Posts, Recent Comments, etc.
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