- #Mathematics for the nonmathematician logic free download how to
- #Mathematics for the nonmathematician logic free download series
- #Mathematics for the nonmathematician logic free download download
In the end, I am very glad to have read this book.
#Mathematics for the nonmathematician logic free download download
It helped immensely to have the solutions manual, which you can download from Dover’s website. Still, I made sure to do at least a couple problems per section, to check whether I was actually understanding the basic idea. I wanted a refreshment, and Kline gave me a four-course meal. Now, I admit that the sheer amount of exercises taxed my patience and interest. Rather than simply solving problems by rote, Kline encourages the student to apply the concepts creatively and in new contexts. The exercises are excellent as well, designed to progress in difficulty, and more importantly to encourage independent thinking. It was often surprisingly easy to follow along. But Kline is an excellent teacher in this context, too, and explains each concept clearly and concisely.
#Mathematics for the nonmathematician logic free download how to
This book is meant for students of engineering and the sciences-students who need to know how to solve problems correctly, or planes will crash and buildings will collapse. Gone are the fascinating historical tidbits and gentle presentation of Kline’s book on popular mathematics. And as fitting for such a purpose, this book is dry. It is a proper textbook, designed to be used in a two-semester introductory course, complete with hundreds of exercises. Though Kline forgoes the rigor one would expect in formal mathematics, this book is no breezy read. I inevitably found the professor’s proofs to be pointless, and soon decided to avoid them altogether, since they confused me rather than aided me. In the lectures, the professor would inevitably take the class through long proofs, while the grad student would show us how to solve the problems in the recitatives. It was divided into lectures with the professor and smaller “recitation” classes with a graduate student. In my first semester of university, when I thought that I was going to study chemistry, I took an introductory calculus course. Hence he must be able to call upon a wealth of experience acquired before tackling the rigorous formulation. Before one can appreciate a precise formulation of a concept or theorem, he must know what idea is being formulated and what exceptions or pitfalls the wording is trying to avoid. Rigor undoubtedly refines the intuition but does not supplant it. He justifies his procedure in the introduction: He does this through a variety of examples, informal arguments, and graphic representation, allowing the learner to get a “feel” for the math before attempting a rigorous definition. Rather than explain the calculus using formal proofs, he first tries to shape the student’s intuition. Kline’s text was perfect for this purpose. This was my primary object in reading this book: to revive whatever atrophied mathematical skills lay dormant, and to at least recover the level of ability I had in high school. My remedial education has been slow and painful. In time I lost even this, leaving me feeling like any ordinary mathematical ignoramus. I was like a well-trained dog, obeying orders without comprehension and this was apparent whenever I had to do any problems that required deeper thinking. Yet this was a merely mechanical understanding. By the time that I graduated high school, I was a problem-solving machine-with so many rules of algebra, trigonometry, derivation, and integration memorized that I could breeze through simple exercises. Calculus represents the furthest I have ever gone with mathematics in my formal schooling. So when I found that Kline had written a book on the calculus, I knew that I had to read it.
#Mathematics for the nonmathematician logic free download series
In his hands, math was not simply a series of equations or deductive proofs, but an integral aspect of our civilization: a crucial tool in our species’ attempt to understand and manipulate the world. Kline showed an amazing ability to explain mathematical concepts intuitively, and to situate them within a sensible human context. So when I found that Kline had Morris Kline’s book, Mathematics for the Nonmathematician, is my favorite book on the discipline.
Morris Kline’s book, Mathematics for the Nonmathematician, is my favorite book on the discipline.
0 kommentar(er)
