Offering a solid introduction to the entire modeling process, A FIRST COURSE IN MATHEMATICAL MODELING, 5th Edition delivers an excellent balance of theory and practice, and gives you relevant, hands-on experience developing and sharpening your modeling skills. Throughout, the book emphasizes key facets of modeling, including creative and empirical model construction, model analysis, and model research, and provides myriad opportunities for practice. The authors apply a proven six-step problem-solving process to enhance your problem-solving capabilities -- whatever your level. In addition, rather than simply emphasizing the calculation step, the authors first help you learn how to identify problems, construct or select models, and figure out what data needs to be collected. By involving you in the mathematical process as early as possible -- beginning with short projects -- this text facilitates your progressive development and confidence in mathematics and modeling. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
The emphasis of this book lies in the teaching of mathematical modeling rather than simply presenting models. To this end the book starts with the simple discrete exponential growth model as a building block, and successively refines it.
Accessible text features over 100 reality-based examples pulled from the science, engineering, and operations research fields.
Can you find a circuit that covers every block exactly once (no deadheading)? If not can you explain why not? ... How does this bear upon Exercises 5 and 6? the number of edges to be added which duplicate e,-.
Acp a First Course in Mathematical Modeling
This book is aimed at newcomers who desires to learn mathematical modeling, especially students taking a first course in the subject.
The goal of this book is to outline Mathematical Modeling using simple mathematical descriptions, making it accessible for first- and second-year students.
Provides a wide range of mathematical models currently used in the life sciences Each model is thoroughly explained and illustrated by example Includes three appendices to allow for independent reading
Primarily intended for students with a working knowledge of calculus but minimal training in computer programming in a first course on modeling, the more advanced topics in the book are also useful for advanced undergraduate and graduate ...
It is your job to analyze the maps below with bridges (denoted as A, B, C, D, E, F, G, H, and J in Figure 6.13) to determine the reliability of the bridge system that must be used to travel safely out of the area.
Highly useful volume discusses the types of models, how to formulate and manipulate them for best results. Numerous examples.