The MIT Introductory Mathematical Analysis: Social and Statistical Sciences PDF e-book Introduction to Mathematical Analysis is in English, PDF and EPUB formats, as well as the Kindle, iBooks, iBooks U, Sony Reader, Nook and PDF reader.
Introductory Mathematical Analysis is the introductory textbook for business and economics at the undergraduate level. This textbook offers a thorough introduction to the theory and applications of mathematical analysis for students who are new to the subject, as well as for students who have had calculus.
Introductory Mathematical Analysis is the only text to include solutions to the problems, and the solutions to all the problems are included in the book. This provides students the opportunity to test their knowledge and to ensure that they have learned the concepts covered in the text.
For example, the following chapter provides a detailed look at the integration of functions, an important tool in numerous applications of mathematics. The following chapter looks at differentiation and integrals.
Chapter 1 Differentiation and Integration. The real line and the complex plane.
Chapter 2 Riemann integration. The Riemann integral. Applications.
Chapter 3 The fundamental theorem of calculus. The FTC. The fundamental theorem of calculus. Applications. The intermediate value theorem. Integrals of a complex function.
Chapter 4 Fundamental properties of the integral. The finite integral. The infinite integral. Integrals of a complex function. The complex integral. The Cauchy integral formula.
Chapter 5 Fundamental properties of integration. The total integral. Applications. The Cauchy criterion for a convergent integral. The Cauchy criterion for a divergent integral. The Cauchy integral formula. The Cauchy integral formula.
Chapter 6 Trapezoidal rule for numerical integration. Trapezoidal rule. Applications.
Chapter 7 Accuracy of the finite difference method. The error of the difference of two functions. The error of the finite difference method. The error of the finite difference method.
Chapter 8 L’Hospital’s rule. L’Hospital’s rule. Applications.
Chapter 9 Fundamental theorems of infinite integration. Fundamental theorems of infinite integration.
Chapter 10 Asymptotic methods for functions. Asymptotic methods for functions. Applications.
Chapter 11 Taylor’s series for functions. Taylor’s series for functions. Applications.
Chapter 12 Applications of Taylor’s theorem. Taylor’s theorem. Applications.
Chapter 13 Series and be359ba680
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