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I found this textbook to be a nice approach to a sterile subject I once learned in high school. The strength of this textbook lies in its presentation of "real-life" examples, such as how calculus is used to compute both periodic and continuous compound interest. When most people hear of calculus, it might conjure up images of long algebraic computations only scientists use to find the meaning of the universe or what engineers require to build the latest nuclear reactor. What this book does is to allay those misconceptions and presents a practical approach to "real world" calculus applications. One does not need to understand astrophysics or financial reports to learn calculus. This book covers calculus theory, and as the title suggests, its application. When covering topics such as differentiation, this book will not ask dull questions such as "find the slope of the tangent at the given point on the curve...." Every math textbook is prone to these types of questions, but this text presents those types of examples only when necessary. This book is not going to make you enjoy math or make you want to run to college's Registrar's office to change your major. It will demonstrate where and how calculus is used outside of the heavy sciences. It presents material clearly, provides an applicable scenario, solves the problem, and explains the answer. And like any other math textbook, follow-up questions are included to reaffirm concepts and odd-numbered answers are provided in the back of the book to solidify understanding.
I want to stress these points: this book is focused in its approach, practical in its application, and geared toward the average college student. This text is ideal for college students who need to learn college-level mathematics and don't want to be bored by finding the volume of a cube or the area under a curve. This is not to say these subjects aren't approached and outlined, however the nature of this book is teach calculus theory without driving students into an intellectual stupor. Calculus with Applications is not a coloring book either. It requires a fundamental understanding of linear algebra, graphing theory, and logarithmic computation, to name a few. My point is: one does not need be Einstein, a Math major, or an engineer to grasp and use the concepts presented in this text or a regular basis. Whether its how to calculate mortgage costs, earnings on a savings account, the percentage of sales increase in a given year, or dare I say it, the growth rate of bacteria, any college student will find this textbook and its concepts helpful in either their academic pursuits or real-life trials.
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This is a classic text dealing with all aspects of forest measurements - from individual trees to rather sophisticated forest inventory techniques. It is the ONLY text that contains associated mathematics beyond the basics. It is the ONLY text that deals with metric scale of measurements, especially with point sampling.
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It makes a radical break with IS-LM (regrettably entrenched for over 50 years) and proposes an alternative with the real interest rate (r) on one axis and the price level (P) on another. The M curve represents combinations of r and P consistent with equilibrium in the supply and demand for real balances. The Y curve represents combinations consistent of the same, consistent with market clearing for goods. The intersection of M and Y determine P and r. Real output does not appear on either axis because it is determined by the labor market. Sticky wages or prices can be (and are) incorporated into the model. I find the M-Y model much more natural than IS-LM with AD-AS.
Much of the discussion is built around a computer simulation model, probably long vanished, that reminds me of a deterministic version of a simple real business cycle model. Miller and Upton understood that a lot of macroeconomics can be explored within a spreadsheet, even though spreadsheets had yet to be invented!
Finally, the prose is rich and beautiful, reflecting the shining influence of the late Merton Miller, a wise and witty writer.
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