MATLAB R2020a Symbolic Math Toolbox User Guide 1st edition by Mathworks

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ISBN 10:
ISBN 13:
Author:Mathworks 

MATLAB R2020a Symbolic Math Toolbox User Guide 1st Table of contents: 

Getting Started
Symbolic Math Toolbox Product Description
Key Features
Create Symbolic Numbers, Variables, and Expressions
Create Symbolic Numbers
Create Symbolic Variables
Create Symbolic Expressions
Reuse Names of Symbolic Objects
Create Symbolic Functions
Create Symbolic Matrices
Use Existing Symbolic Variables
Generate Elements While Creating a Matrix
Create Matrix of Symbolic Numbers
Perform Symbolic Computations
Differentiate Symbolic Expressions
Integrate Symbolic Expressions
Solve Equations
Simplify Symbolic Expressions
Substitutions in Symbolic Expressions
Plot Symbolic Functions
Use Assumptions on Symbolic Variables
Default Assumption
Set Assumptions
Check Existing Assumptions
Delete Symbolic Objects and Their Assumptions
Using Symbolic Math Toolbox Software
Find Symbolic Variables in Expressions, Functions, Matrices
Find a Default Symbolic Variable
Choose syms or sym Function
Add Subscripts, Superscripts, and Accents to Symbolic Variables
Change Output Display Format of Symbolic Results
Copy and Paste Symbolic Output in Live Editor
Units of Measurement Tutorial
Define and Convert Units
Use Temperature Units in Absolute or Difference Forms
Verify Dimensions
Use Units in Differential Equations
Units and Unit Systems List
Units List
SI Unit Prefixes List
Unit Systems List
Defining Constants of SI Units
Unit Conversions and Unit Systems
Convert Units
Temperature Unit Conversion
Convert to SI, CGS, or US Unit Systems
Define Custom Unit System from Existing System
Define Custom Unit System Directly
Unit System Definition
Differentiation
Derivatives of Expressions with Several Variables
More Examples
Functional Derivatives Tutorial
Limits
One-Sided Limits
Integration
Integration with Real Parameters
Integration with Complex Parameters
High-Precision Numerical Integration Using Variable-Precision Arithmetic
Symbolic Summation
Comparing symsum and sum
Computational Speed of symsum versus sum
Output Format Differences Between symsum and sum
Taylor Series
Padé Approximant
Find Asymptotes, Critical, and Inflection Points
Simplify Symbolic Expressions
Simplify Using Options
Simplify Using Assumptions
Simplify Fractions
Solve Algebraic Equation Using Live Editor Task
Simplify Symbolic Expressions Using Live Editor Task
Abbreviate Common Terms in Long Expressions
Choose Function to Rearrange Expression
Combine Terms of Same Algebraic Structures
Expand Expressions
Factor Expressions
Extract Subexpressions from Expression
Collect Terms with Same Powers
Rewrite Expressions in Terms of Other Functions
Compute Partial Fraction Decompositions of Expressions
Compute Normal Forms of Rational Expressions
Represent Polynomials Using Horner Nested Forms
Clear Assumptions and Reset the Symbolic Engine
Check Assumptions Set on Variables
Effects of Assumptions on Computations
Extract Numerators and Denominators of Rational Expressions
Substitute Variables in Symbolic Expressions
Substitute Elements in Symbolic Matrices
Substitute Scalars with Matrices
Evaluate Symbolic Expressions Using subs
Choose Numeric or Symbolic Arithmetic
Double-Precision Arithmetic
Variable-Precision Arithmetic
Symbolic Arithmetic
Comparisons of Numeric and Symbolic Arithmetic
Increase Precision of Numeric Calculations
Recognize and Avoid Round-Off Errors
Use Symbolic Computations When Possible
Perform Calculations with Increased Precision
Compare Symbolic and Numeric Results
Plot the Function or Expression
Increase Speed by Reducing Precision
Numeric to Symbolic Conversion
Conversion to Rational Symbolic Form
Conversion by Using Floating-Point Expansion
Conversion to Rational Symbolic Form with Error Term
Conversion to Decimal Form
Basic Algebraic Operations
Linear Algebraic Operations
Symbolic Hilbert Matrix
Symbolic Linear Algebra Operations
Variable-Precision Arithmetic
Symbolic Investigation of Singular Value
Eigenvalues
Jordan Canonical Form
Singular Value Decomposition
Solve Algebraic Equation
Solve an Equation
Return the Full Solution to an Equation
Work with the Full Solution, Parameters, and Conditions Returned by solve
Visualize and Plot Solutions Returned by solve
Simplify Complicated Results and Improve Performance
Solve a Second-Order Differential Equation Numerically
Select Numeric or Symbolic Solver
Solve System of Algebraic Equations
Handle the Output of solve
Solve a Linear System of Equations
Return the Full Solution of a System of Equations
Solve a System of Equations Under Conditions
Work with Solutions, Parameters, and Conditions Returned by solve
Convert Symbolic Results to Numeric Values
Simplify Complicated Results and Improve Performance
Troubleshoot Equation Solutions from solve Function
Return Only Real Solutions
Apply Simplification Rules
Use Assumptions to Narrow Results
Simplify Solutions
Tips
Solve System of Linear Equations
Solve System of Linear Equations Using linsolve
Solve System of Linear Equations Using solve
Solve Equations Numerically
Solve Differential Equation
First-Order Linear ODE
Solve Differential Equation with Condition
Nonlinear Differential Equation with Initial Condition
Second-Order ODE with Initial Conditions
Third-Order ODE with Initial Conditions
More ODE Examples
Solve a System of Differential Equations
Solve System of Differential Equations
Solve Differential Equations in Matrix Form
Solve Differential Algebraic Equations (DAEs)
Solve Semilinear DAE System
Step 1. Reduce Differential Index with reduceDAEToODE
Step 2. ODEs to Function Handles for ode15s and ode23t
Step 3. Initial Conditions for ode15s and ode23t
Step 4. Solve an ODE System with ode15s or ode23t
Solve DAEs Using Mass Matrix Solvers
Step 1. Convert DAEs to Function Handles
Step 2. Find Initial Conditions
Step 3. Solve DAE System
Fourier and Inverse Fourier Transforms
Fourier Transform Definition
Concept: Using Symbolic Workflows
Calculate Beam Deflection Using Fourier Transform
Solve Differential Equations Using Laplace Transform
Definition: Laplace Transform
Concept: Using Symbolic Workflows
Workflow: Solve RLC Circuit Using Laplace Transform
Solve Difference Equations Using Z-Transform
Definition: Z-transform
Concept: Using Symbolic Workflows
Workflow: Solve “Rabbit Growth” Problem Using Z-Transform
References
Create Plots
Plot with Symbolic Plotting Functions
Plot Functions Numerically
Plot Multiple Symbolic Functions in One Graph
Plot Multiple Symbolic Functions in One Figure
Combine Symbolic Function Plots and Numeric Data Plots
Combine Numeric and Symbolic Plots in 3-D
Plotting in Spherical Coordinate System
Analytical Solutions of the Inverse Kinematics of a Humanoid Robot
Analytical Model of Cantilever Truss Structure for Simscape
Estimate Model Parameters of a Symbolically Derived Plant Model in Simulink
Generate C or Fortran Code from Symbolic Expressions
Generate MATLAB Functions from Symbolic Expressions
Generating a Function Handle
Control the Order of Variables
Generate a File
Name Output Variables
Generate MATLAB Function Blocks from Symbolic Expressions
Generate and Edit a Block
Control the Order of Input Ports
Name the Output Ports
Generate Simscape Equations from Symbolic Expressions
Convert Algebraic and Differential Equations
Limitations
MuPAD to MATLAB Migration
MuPAD Engines and MATLAB Workspace
Convert MuPAD Notebooks to MATLAB Live Scripts
Convert a MuPAD Notebook .mn to a MATLAB Live Script .mlx
Convert MuPAD Graphics to MATLAB Graphics
Known Issues
Troubleshoot MuPAD to MATLAB Translation Errors
Troubleshoot MuPAD to MATLAB Translation Warnings
Differences Between MATLAB and MuPAD Syntax
Call Built-In MuPAD Functions from MATLAB

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