Applied Mathematics for Business, Economics, Life Sciences and Social Sciences

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9780135745755: Applied Mathematics for Business, Economics, Life Sciences and Social Sciences

Featuring topics from finance, linear algebra, linear programming and probability, this text emphasizes computational skills, ideas and problem solving. The use of graphing calculators is integrated in optional examples, and the book includes exercises related to technology, illustrations of applications of spreadsheets and sample computer code. Linear programming is tested thoroughly, including applications of simplex, dual, big M, and two-phase methods for utilizing slack, surplus and artificial variables. Several sections are devoted to limits: the limit properties necessary to find derivatives by definition; continuity and graphs; and limits at infinity and infinite limits. The definite integral is introduced as a limit of Riemann sums, following the more traditional development of integration and emphasizing understanding of basic concepts. Since the previous edition, these changes have occurred: all matrix operations are covered in a single section in chapter 4; one single chapter is devoted to probability; the discussion of Markov chains has expanded to a new chapter, including discussion of absorbing chains; and chapter 15 now concentrates on the relationship between probability and calculus.

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From the Publisher:

The Sixth Edition of this classic features the most extensive calculus coverage of all books in this market, enhanced by relevant topics from finance, linear algebra, linear programming, and probability that are useful to students in a wide variety of disciplines. The authors wrote this text for student comprehension--with great care placed on the mathematically correct and accessible presentation. Other highlights include a rich variety of applications, integration of graphing calculators, emphasis on computation skills, ideas and problem solving rather than mathematical theory.

From the Back Cover:

Key Benefit: The Sixth Edition of this classic features a collection of important and relevant topics from finance, linear algebra, linear programming, and probability with great care placed on the mathematically correct and accessible presentation. Emphasis is on computational skills, ideas and problem solving. Key Topics: Use of graphing calculators is integrated in optional examples, exercises related to technology, illustrations of applications of spreadsheets and sample computer output. Linear programming is treated thoroughly, including applications of simplex, dual, big M, and two- phase methods for utilizing slack, surplus and artificial variables. The material on limits appears in three different sections — Section 8-2 develops the limit properties necessary to find derivatives by definition, Section 9-1 discusses continuity and graphs, and Section 9-4 discusses limits at infinity and infinite limits. The definite integral is introduced as a limit of a Riemann sums, following the more traditional development of integration and emphasizing understanding of basic concepts. Numerous content changes include: all matrix operations covered in a single section in Chapter 4; one single chapter on probability (Ch. 6); discussion of Markov chains expanded to a new chapter (Ch. 7) including discussion of absorbing chains; chapter 15 now concentrates on the relationship between probability and calculus.

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