Mathematical Modeling
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Home > Mathematics and Science Textbooks > Mathematics > Mathematical Modeling: Models, Analysis and Applications
Mathematical Modeling: Models, Analysis and Applications

Mathematical Modeling: Models, Analysis and Applications


     0     
5
4
3
2
1



Out of Stock


Notify me when this book is in stock
X
About the Book

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.

Table of Contents:
1. About Mathematical Modeling. 1.1. What is Mathematical Modeling? 1.2. History of Mathematical Modeling. 1.3. Importance of Mathematical Modeling. 1.4. Latest Developments in Mathematical Modeling. 1.5. Limitations of Mathematical Modeling. 1.6. Units. 1.7. Dimensions. 1.8. Dimensional Analysis. 1.9. Scaling. 1.10. How to built Mathematical Models. 1.11. Mathematical Models and Functions. 1.12. Functional Responses in Population Dynamics. 1.13. Miscellaneous Examples. 1.14. Exercises. 2. Discrete Models using Difference Equations. 2.1. Difference Equations. 2.2. Introduction to Discrete Models. 2.3. Linear Models. 2.4. Non-Linear Models. 2.5. Bifurcations in Discrete Models. 2.6. Chaos in Discrete Models. 2.7. Miscellaneous Examples. 2.8. Mathematica Codes. 2.9. Matlab Codes. 2.10. Exercises. 2.11. Projects. 3. Continuous Models using Ordinary Differential Equations. 3.1. Introduction to Continuous Models. 3.2. Steady State Solution. 3.3. Stability. 3.4. Phase Plane Diagrams of Linear Systems. 3.5. Continuous Models. 3.6. Bifurcations. 3.7. Estimation of Model Parameters. 3.8. Chaos in Continuous Models. 3.9. Miscellaneous Examples. 3.10. Mathematica Codes. 3.11. Matlab Codes. 3.12. Exercises. 3.13. Projects. 4. Spatial Models using Partial Differential Equations. 4.1. Introduction. 4.2. Heat Flow through a Small Thin Rod (One Dimensional). 4.3. Two dimensional Heat-equation (Diffusion equation). 4.4. Steady Heat Flow: Laplace equation. 4.5. Wave Equation. 4.6. Two dimensional Wave Equation. 4.7. Fluid Flow through a Porous Medium. 4.8. Traffic Flow. 4.9. Crime Model. 4.10. Reaction Diffusion Systems. 4.11. Mathematica Codes. 4.12. Matlab Codes. 4.13. Miscellaneous Examples. 4.14. Exercises. 4.15. Project. 5. Modeling with Delay Differential Equations. 5.1. Introduction. 5.2. Linear Stability Analysis. 5.3. Different Models with Delay Differential Equations. 5.4. Immunotherapy with Interleukin-2, a study based on Mathematical Modeling. 5.5. Miscellaneous Examples. 5.6. Mathematica Codes. 5.7. Matlab Codes. 5.8. Exercises. 5.9. Project. 6. Modeling with Stochastic Differential Equations. 6.1. Introduction. 6.2. Stochastic Models. 6.3. Research Problem: Cancer Self-Remission and Tumor Stability - a stochastic approach. 6.4. Mathematica Codes. 6.5. Matlab Codes. 6.6. Exercises. 7. Hints and Solutions. Bibliography. Index.

About the Author :
Sandip Banerjee is a Professor in the Department of Mathematics, Indian Institute of Technology Roorkee (IITR), India. His areas of research is Mathematical Biology. Mathematical modeling is his passion. Prof. Banerjee was the recipient of the Indo-US Fellowship in 2009 and he was awarded IUSSTF Research Fellow medal by the Indo-US Technology Forum. In addition to several national and international projects, Prof. Banerjee is involved in the Virtual Network in Mathematical Biology project, which promotes Mathematical Biology in India. He has also developed several courses like Differential Equations and Numerical Analysis for e-Pathshala and National Programme on Technology Enhanced Learning (NPTEL) projects, initiated by Ministry of Human Resource Development (MHDR) India.

Review :
Praise for the previous edition "…the book is rich with examples. There are examples from ecology, physics, chemistry, economy, medicine, sociology, epidemiology, and more, including specific examples that could be of interest in computer simulation … there are many solved problems and exercises … Both features makes the book a good selection for drawing out examples, problems, and exercises to show what differential equations have to offer to the aspiring modeler …" —Computing Reviews, October 2014 "…the reader may find quite a few interesting examples illustrating several important methods used in applied mathematics. … it may be well used as a valuable source of interesting examples as well as complementary reading in a number of courses." —Svitlana P. Rogovchenko, Zentralblatt MATH 1298


Best Sellers


Product Details
  • ISBN-13: 9781351022910
  • Publisher: Taylor & Francis Ltd
  • Publisher Imprint: Chapman and Hall
  • Language: English
  • No of Pages: 415
  • ISBN-10: 1351022911
  • Publisher Date: 05 Dec 2021
  • Binding: Digital (delivered electronically)
  • No of Pages: 415
  • Sub Title: Models, Analysis and Applications


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
Mathematical Modeling: Models, Analysis and Applications
Taylor & Francis Ltd -
Mathematical Modeling: Models, Analysis and Applications
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

Mathematical Modeling: Models, Analysis and Applications

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    Fresh on the Shelf


    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!