Mathematical Modeling: Models, Analysis and Applications, Second Edition introduces models of both discrete and continuous systems. This book is aimed at newcomers who desires to learn mathematical modeling, especially students taking a first course in the subject. Beginning with the step-by-step guidance of model formulation, this book equips the reader about modeling with difference equations (discrete models), ODE’s, PDE’s, delay and stochastic differential equations (continuous models). This book provides interdisciplinary and integrative overview of mathematical modeling, making it a complete textbook for a wide audience. A unique feature of the book is the breadth of coverage of different examples on mathematical modelling, which include population models, economic models, arms race models, combat models, learning model, alcohol dynamics model, carbon dating, drug distribution models, mechanical oscillation models, epidemic models, tumor models, traffic flow models, crime flow models, spatial models, football team performance model, breathing model, two neuron system model, zombie model and model on love affairs. Common themes such as equilibrium points, stability, phase plane analysis, bifurcations, limit cycles, period doubling and chaos run through several chapters and their interpretations in the context of the model have been highlighted. In chapter 3, a section on estimation of system parameters with real life data for model validation has also been discussed. Features Covers discrete, continuous, spatial, delayed and stochastic models. Over 250 illustrations, 300 examples and exercises with complete solutions. Incorporates MATHEMATICA® and MATLAB®, each chapter contains Mathematica and Matlab codes used to display numerical results (available at CRC website). Separate sections for Projects. Several exercise problems can also be used for projects. Presents real life examples of discrete and continuous scenarios. The book is ideal for an introductory course for undergraduate and graduate students, engineers, applied mathematicians and researchers working in various areas of natural and applied sciences.
Embark on a transformative journey with "Dare to Dream: Ignite Your Inner Fire," a collection of motivational stories meticulously crafted by the eminent wordsmith, Dr. Sandip Banerjee. In this literary mosaic, each narrative serves as a beacon, illuminating the path to renewed inspiration and unwavering resilience. Within these pages, discover tales of triumph over adversity, where ordinary individuals find extraordinary strength in the face of life's challenges. From the subtle nuances of personal growth to the grandeur of collective triumph, these stories resonate with the universal human experience, offering solace, encouragement, and a profound sense of empowerment. Through the artful tapestry of storytelling, Dr. Sandip Banerjee explores the depths of the human spirit, celebrating the innate courage that resides within each of us. Whether navigating the labyrinth of self-discovery or overcoming seemingly insurmountable odds, the characters in these narratives will captivate your heart and inspire you to face life's journey with newfound determination. "Dare to Dream: Ignite Your Inner Fire" is not just a collection of stories; it is a roadmap to resilience, a compass pointing towards hope, and a testament to the extraordinary capabilities that lie dormant within us. Immerse yourself in this literary odyssey, and let the words within become the catalyst for positive change in your own narrative. Get ready to be motivated, uplifted, and empowered to embrace life's challenges with courage and grace.
Mathematical Modeling: Models, Analysis and Applications, Second Edition introduces models of both discrete and continuous systems. This book is aimed at newcomers who desires to learn mathematical modeling, especially students taking a first course in the subject. Beginning with the step-by-step guidance of model formulation, this book equips the reader about modeling with difference equations (discrete models), ODE’s, PDE’s, delay and stochastic differential equations (continuous models). This book provides interdisciplinary and integrative overview of mathematical modeling, making it a complete textbook for a wide audience. A unique feature of the book is the breadth of coverage of different examples on mathematical modelling, which include population models, economic models, arms race models, combat models, learning model, alcohol dynamics model, carbon dating, drug distribution models, mechanical oscillation models, epidemic models, tumor models, traffic flow models, crime flow models, spatial models, football team performance model, breathing model, two neuron system model, zombie model and model on love affairs. Common themes such as equilibrium points, stability, phase plane analysis, bifurcations, limit cycles, period doubling and chaos run through several chapters and their interpretations in the context of the model have been highlighted. In chapter 3, a section on estimation of system parameters with real life data for model validation has also been discussed. Features Covers discrete, continuous, spatial, delayed and stochastic models. Over 250 illustrations, 300 examples and exercises with complete solutions. Incorporates MATHEMATICA® and MATLAB®, each chapter contains Mathematica and Matlab codes used to display numerical results (available at CRC website). Separate sections for Projects. Several exercise problems can also be used for projects. Presents real life examples of discrete and continuous scenarios. The book is ideal for an introductory course for undergraduate and graduate students, engineers, applied mathematicians and researchers working in various areas of natural and applied sciences.
This book covers the fundamental principles and physical phenomena behind laser-based fabrication and machining processes. It also gives an overview of their existing and potential applications. With laser machining an emerging area in various applications ranging from bulk machining in metal forming to micromachining and microstructuring, this book provides a link between advanced materials and advanced manufacturing techniques. The interdisciplinary approach of this text will help prepare students and researchers for the next generation of manufacturing.
Raj, Rao, Dr. Prahlad, Manoj, Sam, Alex, Shetty and a host of professionals take you on a uproarious journey of elation, intrigue and excitement - all in their ‘day in the life’ of a hotelier. Ten short stories, woven out of ‘real’ incidents, give you an insight into the life and times of hospitality operators and keep you absorbed with exhilaration in the world of hotels and resorts. Fun rings in every single day when one clocks in to work and never seems to end.
The second edition of Fleisher & Ludwig’s 5-Minute Pediatric Emergency Medicine Consult helps anyone working in a busy emergency or urgent care setting diagnose, treat and manage over 500 diseases and common pediatric conditions. You’ll instantly find clear answers—summarized succinctly—on clinical orientation, differential diagnosis, medications, management, discharge criteria and more. Practice guidelines are evidence-based, and the book is formatted for quick reference, double-checking or a 5-minute refresher.
Introduction India being an agricultural country with most of population being engaged in primary activities needs to strengthen its rural base for balanced economic development. The prospects of creating a regional balance between the rural and urban sectors can be achieved through the proper exploitation and management of local resources and development of various agro-based industries. The new ventures should be made to develop the allied sectors i.e., agro-forestry, apiculture, pisciculture, sericulture, mushroom cultivation and dairy farming. These measures will help in income generation besides being able to provide employment to the large number of rural population. Milk production in India is predominantly the domain of small farmers in mixed farming system. Dairy enterprise plays a very vital role in the rural economy of India. It provides income and employment, not only to the workers section of the society, but also to the farming community of the country in general. Milk and its products, serves as one of the most important sources of food for all civilized nations. The highly developed and prosperous people consume the large quantity of milk and dairy products. India ranks first in number of animals and production of milk in the world. India succeeded in producing 132.4 million tons of milk in the year 2012-13 and became world’s largest milk producer. In 1991-92 the per capita availability was 178 gm. / day. The figure has reached up to 290 gm. /day in the year 2011-12. In dairy, India shares 15 Percent (2010) production in the world.
India, like most democratic developing nations, is prone to populist politics. In the search of votes, politicians look for popular solutions with mass appeal. Some popular solutions benefit the poor, some hurt the economy. Poor economics leads to falling numbers. Falling numbers get statistically captured as economic data. And, the impact of such economic data is immense. This data can lift or crash currency markets, stock markets, affect credit ratings, fuel inflation, affect new investments and even result in mass layoffs. However, there is always a story behind the data. These stories are guided mostly by executive decisions. Some decisions are far-reaching and beneficial to the masses, some cater to political vote banks, some are guided by increasing activism, some serve the need for social justice, some are aimed at environmental protection, while some are simply driven by the greed of power or wealth. This is the story of every regime. The book narrates this compelling data story in a layman's language. Even where data is wrong it leaves behind a tell-tale mark of anomalies, which trips the economy sooner than later. Fudged, incorrect or lazily collected data is worse than genuine but unimpressive data as you do not know what to correct. India Emerging thus captures this dialogue on the pros and cons of economic and political decisions that can be understood by the common voter who is neither an economist nor an academician.
Introduces quantum inspired techniques for image analysis for pure and true gray scale/color images in a single/multi-objective environment This book will entice readers to design efficient meta-heuristics for image analysis in the quantum domain. It introduces them to the essence of quantum computing paradigm, its features, and properties, and elaborates on the fundamentals of different meta-heuristics and their application to image analysis. As a result, it will pave the way for designing and developing quantum computing inspired meta-heuristics to be applied to image analysis. Quantum Inspired Meta-heuristics for Image Analysis begins with a brief summary on image segmentation, quantum computing, and optimization. It also highlights a few relevant applications of the quantum based computing algorithms, meta-heuristics approach, and several thresholding algorithms in vogue. Next, it discusses a review of image analysis before moving on to an overview of six popular meta-heuristics and their algorithms and pseudo-codes. Subsequent chapters look at quantum inspired meta-heuristics for bi-level and gray scale multi-level image thresholding; quantum behaved meta-heuristics for true color multi-level image thresholding; and quantum inspired multi-objective algorithms for gray scale multi-level image thresholding. Each chapter concludes with a summary and sample questions. Provides in-depth analysis of quantum mechanical principles Offers comprehensive review of image analysis Analyzes different state-of-the-art image thresholding approaches Detailed current, popular standard meta-heuristics in use today Guides readers step by step in the build-up of quantum inspired meta-heuristics Includes a plethora of real life case studies and applications Features statistical test analysis of the performances of the quantum inspired meta-heuristics vis-à-vis their conventional counterparts Quantum Inspired Meta-heuristics for Image Analysis is an excellent source of information for anyone working with or learning quantum inspired meta-heuristics for image analysis.
Numerical Methods for Partial Differential Equations: Finite Difference and Finite Volume Methods focuses on two popular deterministic methods for solving partial differential equations (PDEs), namely finite difference and finite volume methods. The solution of PDEs can be very challenging, depending on the type of equation, the number of independent variables, the boundary, and initial conditions, and other factors. These two methods have been traditionally used to solve problems involving fluid flow. For practical reasons, the finite element method, used more often for solving problems in solid mechanics, and covered extensively in various other texts, has been excluded. The book is intended for beginning graduate students and early career professionals, although advanced undergraduate students may find it equally useful. The material is meant to serve as a prerequisite for students who might go on to take additional courses in computational mechanics, computational fluid dynamics, or computational electromagnetics. The notations, language, and technical jargon used in the book can be easily understood by scientists and engineers who may not have had graduate-level applied mathematics or computer science courses. - Presents one of the few available resources that comprehensively describes and demonstrates the finite volume method for unstructured mesh used frequently by practicing code developers in industry - Includes step-by-step algorithms and code snippets in each chapter that enables the reader to make the transition from equations on the page to working codes - Includes 51 worked out examples that comprehensively demonstrate important mathematical steps, algorithms, and coding practices required to numerically solve PDEs, as well as how to interpret the results from both physical and mathematic perspectives
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