http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
1 online resource (various pagings) : illustrations (some color).
SMath is a free mathematical notebook program similar to Mathcad that provides many options for studying and solving complex mathematical equations. This book is a primer providing a concise but thorough introduction that keeps physics at a fairly low level so readers can concentrate on understanding the SMath features. The major features are introduced step by step and focus on using SMath as a simple scratch pad.
Preface -- Acknowledgements -- Author biography -- An overview of SMath Suite -- What is SMath Suite? -- How do I get SMath Suite? -- How can I get help with SMath? -- The SMath interface -- Constructing regions -- Greek characters -- Option settings -- Scratchpad calculations -- Simple algebraic calculations -- Subscripted variables -- Working with units -- Physical and mathematical constants -- SMath functions -- Matrices and vectors -- Drawing graphs -- Solving equations and finding roots -- Symbolic differentiation -- Programming -- Snippets -- Appendix A. SMath functions
Introductory physics : some simple problems -- Mass on a string -- Kinetic energy of a merry-go-round -- Telescope resolution -- Dimensional analysis -- Solving a cubic equation with polyroots -- Conservation of energy -- Stone dropped down a well (solve function) -- Roller-coaster problem (function solve) -- Bullet velocity -- Water depth -- Balmer series -- Uncertainty calculation -- Calculate the age of a rock -- The ladder problem : search method -- The ladder problem : solved with differentiation -- Circuit analysis : matrix math -- Thermistor quality control -- Fourier series -- Self-test projects
Trajectory of a projectile -- A simple calculation -- An improved plot -- Trajectory when drag is considered -- Did we use a small enough [delta]t increment? -- What is the purpose of the Eval function?
Linear regression -- Simple linear regression -- Zero intercept -- Multiple linear regression -- Multiple linear regression using a vector function -- Multiple regression : some exercises
Root finding -- Fixed point iteration -- Bisection method -- The secant method -- Newton-Raphson method -- Self-test
Numerical integration -- Simpson's 1/3 rule -- Simpson's 1/3 rule with tabular data -- Numerical integration using a Monte Carlo method
Solving differential equations -- The Euler approximation -- Runge-Kutta method -- Cooling by radiation -- Runge-Kutta for systems of equations -- Second-order differential equations
The SMath Viewer -- The basic steps -- A better GUI -- Working with units -- Adding tabs
Data exchange with external files -- Wfile and rfile functions -- The importData(9) function
SMath with Maxima -- Saving options -- The XY plot feature -- Maxima's equation solving functions -- Golden section search -- Linear regression -- Symbolic integration -- Data exchange (wfile and rfile) -- Data exchange with Microsoft Excel(R) -- Differential equations -- Statistics.
Instructors and students in introductory physics (and engineering) courses. Engineers and scientists who may not have access to expensive software suites like Mathcad.
"A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.
System requirements: Adobe Acrobat Reader.
Bernard Liengme is a Retired Professor of Chemistry and Lecturer in Information Systems of St. Francis Xavier University in Nova Scotia, Canada where he taught for over 36 years. He is the author: A Guide to Microsoft Excel for Business and Management (2 editions), and A Guide to Microsoft Excel for Scientists and Engineers (6 editions). The later has been adopted by various engineering schools worldwide. Both books have been translated into a number of languages. Bernard has been awarded the Microsoft Most Valued Professional award in Excel in each of the last eight years.
SCIENCE / Physics / Mathematical & Computational