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The primary purpose of this book is to help you understand what is going on in Fourier Transform (FT) Nuclear Magnetic Resonance (NMR) spectroscopy. Modern life is now very largely life with 'black boxes' that carry warning labels: 'No user-serviceable parts inside.' Many find black boxes to be quite acceptable, at least as long as they work. But how willing should we be to accept black-box analyses without some understanding of how those analyses were obtained? NMR spectrometers are like 'black boxes' in that they offer many standardised procedures, but it can be dangerous to the quality of your data if you rely slavishly on such procedures without understanding how and why the proper parameter choices are critical. The scope of this book is broad rather than deep with the intention of providing helpful insight. Much can be understood in a more qualitative way and that is the approach taken here. For those few areas where a quantitative approach is needed, simple mathematics will usually suffice.
The Project Management Institute (PMI) recently launched a new certification entitled the Portfolio Management Professional (PfMP). The most comprehensive resource available to help readers prepare for and pass the PfMP certification exam, this book provides coverage that is current with The Standard for Portfolio Management, Third Edition. It includes two 170-question practice tests that simulate the certification examination. It also includes answer keys with rational and references to the latest standard. The two accompanying online tests feature a proprietary scoring algorithm to help readers determine their level of proficiency in each domain.
This book offers an alternative to current philosophy of mathematics: heuristic philosophy of mathematics. In accordance with the heuristic approach, the philosophy of mathematics must concern itself with the making of mathematics and in particular with mathematical discovery. In the past century, mainstream philosophy of mathematics has claimed that the philosophy of mathematics cannot concern itself with the making of mathematics but only with finished mathematics, namely mathematics as presented in published works. On this basis, mainstream philosophy of mathematics has maintained that mathematics is theorem proving by the axiomatic method. This view has turned out to be untenable because of Gödel’s incompleteness theorems, which have shown that the view that mathematics is theorem proving by the axiomatic method does not account for a large number of basic features of mathematics. By using the heuristic approach, this book argues that mathematics is not theorem proving by the axiomatic method, but is rather problem solving by the analytic method. The author argues that this view can account for the main items of the mathematical process, those being: mathematical objects, demonstrations, definitions, diagrams, notations, explanations, applicability, beauty, and the role of mathematical knowledge.