Mathematical Modeling and Applied Calculus
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48 536 Ft
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Product details:
- Publisher OUP Oxford
- Date of Publication 4 October 2018
- ISBN 9780198824725
- Binding Hardback
- No. of pages812 pages
- Size 254x198x43 mm
- Weight 1802 g
- Language English
- Illustrations approximately 680 0
Categories
Short description:
Mathematical Modeling and Applied Calculus is a modern take on modeling and calculus aimed at students who need some experience with these ideas.
MoreLong description:
This textbook is rich with real-life data sets, uses RStudio to streamline computations, builds "big picture" conceptual understandings, and applies them in diverse settings. Mathematical Modeling and Applied Calculus will develop the insights and skills needed to describe and model many different aspects of our world. This textbook provides an excellent introduction to the process of mathematical modeling, the method of least squares, and both differential and integral calculus, perfectly meeting the needs of today's students.
Mathematical Modeling and Applied Calculus provides a modern outline of the ideas of Calculus and is aimed at those who do not intend to enter the traditional calculus sequence. Topics that are not traditionally taught in a one-semester Calculus course, such as dimensional analysis and the method of least squares, are woven together with the ideas of mathematical modeling and the ideas of calculus to provide a rich experience and a large toolbox of mathematical techniques for future studies. Additionally, multivariable functions are interspersed throughout the text, presented alongside their single-variable counterparts. This text provides a fresh take on these ideas that is ideal for the modern student.
There is an excellent balance of theory and application. Furthermore, most of the theoretical concepts covered in the textbook are essential for gaining facility in basic mathematical modelling. The book contains a high number of practice exercises. These extensive exercise sets give diverse opportunities to practice and deepen comprehension. The reviewer warmly recommends this book for consideration as a textbook for a course on calculus and/or mathematical modeling.
Table of Contents:
Functions for Modeling Data
Functions
Multivariable Functions
Linear Functions
Exponential Functions
Inverse Functions
Logarithmic Functions
Trigonometric Functions
Mathematical Modeling
Modeling with Linear Functions
Modeling with Exponential Functions
Modeling with Power Functions
Modeling with Sine Functions
Modeling with Sigmoidal Functions
Single Variable Modeling
Dimensional Analysis
The Method of Least Squares
Vectors and Vector Operations
Linear Combinations of Vectors
Existence of Linear Combinations
Vector Projection
The Method of Least Squares
Derivatives
Rates of Change
The Derivative as a Function
Derivatives of Modeling Functions
Product and Quotient Rules
The Chain Rule
Partial Derivatives
Limits and the Derivative
Optimization
Global Extreme Values
Local Extreme Values
Concavity and Extreme Values
Newton's Method and Optimization
Multivariable Optimization
Constrained Optimization
Accumulation and Integration
Accumulation
The Definite Integral
First Fundamental Theorem
Second Fundamental Theorem
The Method of Substitution
Integration by Parts
