Calculus and Its Applications, Thirteenth Edition is a comprehensive, yet flexible, text for students majoring in business, economics, life science, or social sciences. The authors delve into greater mathematical depth than other texts while motivating students through relevant, up-to-date, applications drawn from students' major fields of study. The authors motivate key ideas geometrically and intuitively, providing a solid foundation for the more abstract treatments that follow. Every chapter includes a large quantity of exceptional exercises--a hallmark of this text--that address skills, applications, concepts, and technology. The Thirteenth Edition includes updated applications, exercises, and technology coverage. The authors have also added more study tools, including a prerequisite skills diagnostic test and a greatly improved end-of-chapter summary, and made content improvements based on user reviews.
Another unique aspect of the text is its intuitive use of differential equations to model a variety of phenomena in Chapter 5, which addresses applications of exponential and logarithmic functions.
This is the best-selling applied calculus text for the 4 year marketplace. More rigorous than Barnett, Goldstein/Lay/Schneider still provides an accessible text to students and instructor's alike. Integrating more usage...
Calculus and Its Applications
This book is a valuable resource for mathematicians and students. Readers whose interests span a variety of fields will also find this book useful.
Unfortunately, the notation df/dxj does not clearly exhibit the functional dependence of the partial derivative on the variable x. Notations like (8f/3xj)x=y or (Bf/Bx»), are not only cumbersome but are also capable of misinterpretation ...
Calculus and Its Applications: Math 2523
Every chapter includes a large quantity of exceptional exercises--a hallmark of this text--that address skills, applications, concepts, and technology.
... matrices, and electrical engineering, 1987 Harald Upmeier, Jordan algebras in analysis, operator theory, and quantum mechanics, 1987 G. Andrews, q-Series: Their development and application in analysis, number theory, combinatorics, ...
Suppose X is an integrable random variable and Y an 8-measurable random variable, such that the product XY is integrable. Then E[XY|8] = YE|X|8 a.s. Proof. Suppose first that Y is a simple function, that is, Y takes only countably many ...
Calculus and Its Applications - 10th Edition