Kindly note that we have put a lot of effort into researching the best books on Mathematical Modeling subject and came out with a recommended list of top 10 best books. The table below contains the Name of these best books, their authors, publishers and an unbiased review of books on "Mathematical Modeling" as well as links to the Amazon website to directly purchase these books. As an Amazon Associate, we earn from qualifying purchases, but this does not impact our reviews, comparisons, and listing of these top books; the table serves as a ready reckoner list of these best books.
1. “Mathematical Modeling” by J N Kapur
“Mathematical Modelling” Book Review: The application of mathematical modelling to physical, economic, and social systems is growing rapidly. This book analyzes important techniques of mathematical modelling and their application to numerous problems in physics, chemistry, economics, demography, biology, medicine, ecology, traffic flow, and others. Each chapter is dedicated to a different mathematical technique with numerous examples for clear illustration of the concepts. The book discusses the techniques suitable for any particular situation and its application in that field.


2. “Mathematical Modeling” by Mark M Meerschaert
“Mathematical Modeling” Book Review: This book provides a comprehensive treatment of both the theoretical and practical aspects of mathematical modeling. The book explores optimization models, dynamic models and probability models in great detail with MATLAB material incorporated uniformly throughout the text. Separate chapters deal with diffusion models and time series analysis. The book also explores the applications of mathematical modeling in genetic engineering and hurricane prediction. Optimization problems in whale and dolphin populations are also analyzed. Students, teachers, and professionals can refer to this book.


3. “A First Course in Mathematical Modeling” by Frank R Giordano
“A First Course in Mathematical Modeling” Book Review: This book offers a comprehensive introduction to both the theoretical and practical aspects of the modeling process. The book explains the creative and empirical model construction, model analysis and model research in detail. Differential equations as mathematical models, linear and nonlinear models, modeling with firstorder differential equations as well as systems of firstorder differential equations are some of the topics covered in this book. Readers learn to identify problems, construct or model and figure out what data needs to be collected. This sixstep problemsolving process enhances problemsolving skills. Both students and professionals can refer to this book.


4. “Mathematical Modeling With Excel” by Brian Albright
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“Mathematical Modeling with Excel” Book Review: This book presents numerous methods used to build and analyze mathematical models with the help of Excel. The different types of models are presented in a comprehensive and lucid manner. Exercises given at the end of each chapter gives readers the freedom to modify or refine the existing model, analyze it further, or adapt it to similar scenarios. This book is suitable for math and secondary math education majors.


5. “Mathematical Modelling with Case Studies: A Differential Equations Approach using Maple and MATLAB” by B Barnes and G R Fulford
“Mathematical Modelling with Case Studies: A Differential Equations Approach using Maple and MATLAB” Book Review: This book describes the different mathematical techniques that are applicable to models involving differential equations. The book concentrates on growth and decay processes, interacting populations, and heating/cooling problems. Numerous flow diagrams and word equations are incorporated to demonstrate the model building process as well as the conversion of a complex problem into a simpler one. The behavior of the models is examined under changing conditions using theoretical, graphical, and computational tools. Maple and MATLAB are implemented throughout the text to facilitate handson model building skills. The validation of the models and extensions to the models are discussed while recognizing the pros and cons of each model.


6. “Mathematical Modeling: Application, Isssues and Analysis” by Viaml K Mishra
“Mathematical Modeling: Application, Issues and Analysis” Book Review: This book consists of papers from the proceedings of the National Conference on Mathematical Modeling and Analysis. The papers broadly cover mathematical modeling in the fields of drug design, fluid mechanics, environmental pollution, applied analysis, and biological systems. The book is intended for scientists, engineers, technocrats, and researchers.


7. “MATHEMATICAL MODELING: MODELS, ANALYSIS AND APPLICATIONS” by SANDEEP BANERJEE
“Mathematical Modeling: Models, Analysis and Applications” Book Review: This book offers a detailed treatment of modeling using every type of differential equation. Ordinary, partial, delay, and stochastic differential equations are implemented to also explain discrete modeling. The book describes various tools and techniques for mathematical modeling and analysis to solve problems. MATLAB and Mathematica are incorporated to explain spatial, delayed, and stochastic modeling. Reallife examples as well as exercise sets on discrete and continuous mathematical modeling scenarios are also included. This book is ideal for students, engineers, and scientists in science, engineering and social sciences.


8. “Mathematical Modeling of Warfare and Combat Phenomenon” by Jeffrey Strickland
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“Mathematical Modeling of Warfare and Combat Phenomenon” Book Review: This book presents efficient methods to incorporate mathematics to solve military problems. The book explains the importance of mathematics to characterize the interaction and relationships among quantifiable concepts/variables. The text emphasizes on added value to explain the driving force behind military mathematical modeling. Models of terrorism, attrition, search, detection, missile defense, radar, and operational reliability are also described. Students and professionals can refer to this book.


9. “Mathematical Modeling with Computer Simulation” by Daniel P Maki and Maynard Thompson
“Mathematical Modeling and Computer Simulation” Book Review: This book describes the dynamic process of building mathematical and computer models using simplification, approximation, abstraction, analysis, computation and comparison. Numerous case studies are provided to demonstrate the application of model building processes in real life situations like business, genetics, population biology and social science.


10. “Mathematical Modeling of Complex Biological Systems: A Kinetic Theory Approach (Modeling and Simulation in Science, Engineering and Technology)” by Abdelghani Bellouquid and Marcello Delitala
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“Mathematical Modeling of Complex Biological Systems: A Kinetic Theory Approach (Modeling and Simulation in Science, Engineering and Technology)” Book Review: The book covers the evolution of several sociobiological systems using mathematical kinetic theory, modeling and simulations of biological systems. The book also explains a new biological model and generalised Boltzmann equation. The book can be referred to by those pursuing advanced graduate courses and for seminars in biological systems modeling.


11. “Mathematical Modeling, Simulation, Visualization and eLearning” by Dialla Konaté
“Mathematical Modeling, Simulation, Visualization and eLearning” Book Review: This book features articles written by applied mathematicians as well as young and promising ones. It presents an important issue which is currently widely discussed in scientific investigation with major human, economic or ecological implications. Each article is as deep as an expert lecture. The chapters are selfcontained, so that even isolated scientists with limited resources can profit greatly from it.


12. “Mathematical Modeling, Bayesian Estimation, and Inverse Problems: 3816 (Proceedings of SPIE)” by Francoise Preteux and Ali MohammadDjafari  
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