Home > Mathematics and Science Textbooks > Mathematics > Applied mathematics > Mathematical modelling > Introduction to Mathematical Modeling and Computer Simulations
1%
Introduction to Mathematical Modeling and Computer Simulations

Introduction to Mathematical Modeling and Computer Simulations

          
5
4
3
2
1

International Edition


Premium quality
Premium quality
Bookswagon upholds the quality by delivering untarnished books. Quality, services and satisfaction are everything for us!
Easy Return
Easy return
Not satisfied with this product! Keep it in original condition and packaging to avail easy return policy.
Certified product
Certified product
First impression is the last impression! Address the book’s certification page, ISBN, publisher’s name, copyright page and print quality.
Secure Checkout
Secure checkout
Security at its finest! Login, browse, purchase and pay, every step is safe and secured.
Money back guarantee
Money-back guarantee:
It’s all about customers! For any kind of bad experience with the product, get your actual amount back after returning the product.
On time delivery
On-time delivery
At your doorstep on time! Get this book delivered without any delay.
Quantity:
Add to Wishlist

About the Book

Introduction to Mathematical Modeling and Computer Simulations, Second Edition continues to serve as an engaging and accessible textbook for undergraduates studying mathematical modeling and computer simulations. The book is heavily focussed on applications, and so may have a particular appeal to applied mathematicians, engineers, and others working in applied quantitative disciplines. The book may also be useful as a reference text for reference text for early-career stage practitioners. New to this Edition: A new chapter on Machine Learning and Data Analysis in order to account for recent developments in the field. Chapter 9, ‘Asymptotic Methods in Composites’, has been entirely re-written to make it more consistent with industry and scientific standards. Includes an elementary introduction to programming in Python language. The Jupyter notebooks with examples for Chapter 10 and Appendix A are available for a download from www.Routledge.com/9781032661513.

Table of Contents:
I. General Principles and Methods. 1. Principles of Mathematical Modeling. 1.1. How to develop a mathematical model. 1.2. Types of models. 1.3. Stability of models. 1.4. Dimension, units, and scaling. 2. Numerical and symbolic computations. 2.1. Numerical and symbolic computations of derivatives and integrals. 2.2. Iterative methods. 2.3. Newton’s method. 2.4. Method of successive approximations. 2.5. Banach Fixed Point Theorem. 2.6. Why is it difficult to numerically solve some equations? Exercises and mini-projects. II. Basic Applications. 3. Application of calculus to classic mechanics. 3.1. Mechanical meaning of the derivative. 3.2. Integral and energy. 3.3. Potential energy. 3.4. Interpolation. 3.5. Integration of discrete functions. Exercises and mini-projects. 4. Ordinary differential equations and their applications. 4.1. Principle of transition for ODE. 4.2. Radioactive decay. 4.3. Logistic differential equation and its modifications. 4.4. Time delay. 4.5. Approximate solution to differential equations. 4.6. Harmonic oscillation. 4.7. Lotka-Volterra model. 4.8. Linearization. Exercises and mini-projects. 5. Stochastic models. 5.1. Method of least squares. 5.2. Fitting. 5.3. Method of Monte Carlo. 5.4. Random walk. Exercises and mini-projects. 6. One-dimensional stationary problems. 6.1. 1D geometry. 6.2. Second order equations. 6.3. 1D Green’s function. 6.4. Green’s function as a source. 6.5. The δ–function. III. Advanced Applications. 7. Vector analysis. 7.1. Euclidean space R3. 7.2. Scalar, vector and mixed products. 7.3. Rotation of bodies. 7.4. Scalar, vector, and mixed product in Mathematica. 7.5. Tensors. 7.6. Scalar and vector fields. 7.7. Integral theorems. Exercises and mini-projects. 8. Heat equations. 8.1. Heat conduction equations. 8.2. Initial and boundary value problems. 8.3. Green’s function for the 1D heat equation. 8.4. Fourier series. 8.5. Separation of variables. 8.6. Discrete approximations of PDE. 8.7. Universality in Mathematical Modeling Table. Exercises and mini-projects. 9. Asymptotic methods in composites. 9.1. Principle of Asymptotology. 9.2. Effective properties of composites. 9.3. Principles of homogenization theory. 9.4. Maxwell’s approach. 9.5. Mathematical modeling and effective properties of composites. 9.6. Strategy of investigations. 9.7. Densely packed balls. Exercises and mini-projects. 10. Machine learning and data analysis. 10.1. Supervised, unsupervised learning, and regression. 10.2. Data storage. 10.3. A simple example of classification problem. 10.4. Reading, cleaning and scaling data. 10.5. Simple statistics. 10.6. Dimensionality reduction by PCA. 10.7. Selected models of supervised learning. 10.8. Selected models of unsupervised learning. 10.9. Regression. 10.10. Neural Networks. A. Introduction to Python.


Best Sellers


Product Details
  • ISBN-13: 9781032661513
  • Publisher: Taylor & Francis Ltd
  • Publisher Imprint: Chapman & Hall/CRC
  • Height: 234 mm
  • No of Pages: 330
  • Weight: 716 gr
  • ISBN-10: 1032661518
  • Publisher Date: 20 Dec 2024
  • Binding: Hardback
  • Language: English
  • Returnable: N
  • Width: 156 mm


Similar Products

How would you rate your experience shopping for books on Bookswagon?

Add Photo
Add Photo

Customer Reviews

REVIEWS           
Click Here To Be The First to Review this Product
Introduction to Mathematical Modeling and Computer Simulations
Taylor & Francis Ltd -
Introduction to Mathematical Modeling and Computer Simulations
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.

Introduction to Mathematical Modeling and Computer Simulations

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

    New Arrivals


    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!
    ASK VIDYA