Автор: Jon Pierre Fortney, Linda Smail
Издательство: CRC Press
Год: 2025
Страниц: 344
Язык: английский
Формат: pdf (true), epub
Размер: 10.1 MB
Calculus for Business and Economics: An Example-Based Introduction is designed for first-year university students specializing in business and economics. This book is crafted in a clear, easy-to-read style, covering all the essential calculus-related topics that students are likely to encounter in their studies. With real-world business and economics applications seamlessly integrated around the core calculus concepts, students will find the book of real practical value throughout their time in university and beyond.
Topics covered include cost/revenue/profit functions, marginal functions, price-demand and supply functions, interest rate formulas, nominal and effective interest rates, diminishing marginal returns, consumer and producer surplus, a wide range of business and economics-related examples that look at marketing and sales situations, natural resource depletion, depreciation, loan repayments, and probability functions, along with the elasticity of demand, the Cobb-Douglas production function, and maximizing/minimizing functions subject to constraints.
Many introductory-level textbooks have ballooned to the point that any actual expectation that students read or work from the textbook has become unreasonable. Addressing this issue has been the primary driving force behind this book. It is far shorter than other business calculus books on the market. But despite this, it covers somewhat more material, featuring topics often omitted from traditional business calculus textbooks such as integration by substitution, parts, and partial fractions, the extreme value theorem, implicit differentiation, multivariable functions, partial derivatives, and Lagrange multipliers. This is partially accomplished by a very careful, straightforward, and concise use of language. Sentences and paragraphs are kept short and easy to understand without loss of mathematical rigor. Explanations are kept simple, short, and clear.
Another key aspect of this book is that only the essential aspects of each mathematical concept are covered. This is a math book, but one with a very specific audience, and this audience needs the mathematical tools necessary to analyze and understand business and economics concepts. Thus, we avoid any mathematical aspects that are not essential to the goal at hand.
Features:
Three hundred easy-to-follow examples throughout, carefully crafted to illustrate the concepts and ideas discussed.
Numerous exercises to practice, with solutions available online to help you learn at your own pace.
Each chapter concludes with a section showcasing the real-world business and economics applications of the discussed mathematical concepts.
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