Discrete Dynamical 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 > Science, Technology & Agriculture > Technology: general issues > Maths for engineers > Discrete Dynamical Modeling
Discrete Dynamical Modeling

Discrete Dynamical Modeling


     0     
5
4
3
2
1



International Edition


X
About the Book

This book presents an introduction to the wide range of techniques and applications for dynamic mathematical modeling that are useful in studying systemic change over time. The author expertly explains how the key to studying change is to determine a relationship between occurring events and events that transpire in the near future. Mathematical modeling of such cause-and-effect relationships can often lead to accurate predictions of events that occur farther in the future. Sandefur's approach uses many examples from algebra--such as factoring, exponentials and logarithms--and includes many interesting applications, such as amortization of loans, balances in savings accounts, growth of populations, optimal harvesting strategies, genetic selection and mutation, and economic models. This book will be invaluable to students seeking to apply dynamic modeling to any field in which change is observed, and will encourage them to develop a different way of thinking about the world of mathematics.

Table of Contents:
1: Introduction to Dynamic Modeling 1.1: Modeling Drugs in the Bloodstream 1.2: Terminology 1.3: Equilibrium Values 1.4: Dynamic Economic Applications 1.5: Applications of Dynamics Using Spreadsheets 2: First Order Dynamical Systems 2.1: Solutions to Linear Dynamical Systems with Applications 2.2: Solutions to an Affine Dynamical System 2.3: An Introduction to Genetics 2.4: Solutions to Affine Dynamical Systems with Applications 2.5: Application to Finance 3: Introduction to Probability 3.1: The Multiplication and Addition Principles 3.2: Introduction to Probability 3.3: Multistage Tasks 3.4: An Introduction to Markov Chains 4: Nonhomogeneous Dynamical Systems 4.1: Exponential Terms 4.2: Exponential Terms, a Special Case 4.3: Fractal Geometry 4.4: Polynomial Terms 4.5: Polynomial Terms, a Special Case 5: Higher Order Linear Dynamical Systems 5.1: An Introduction to Second Order Linear Equations 5.2: Multiple Roots 5.3: The Gambler's Ruin 5.4: Sex-Linked Genes 5.5: Stability for Second Order Affine Equations 5.6: Modeling a Vibrating String 5.7: Second Order Nonhomogeneous Equations 5.8: Gambler's Ruin Revisited 5.9: A Model of a National Economy 5.10: Dynamical Systems with Order Greater than Two 5.11: Solutions Involving Trigonometric Functions 6: Introduction to Nonlinear Dynamical Systems 6.1: A Model of Population Growth 6.2: Using Linearization to Study Stability 6.3: Harvesting Strategies 6.4: More Linearization 7: Vectors and Matrices 7.1: Introduction to Vectors and Matrices 7.2: Rules of Linear Algebra 7.3: Gauss-Jordan Elimination 7.4: Determinants 7.5: Inverse Matrices 8: Dynamical Systems of Several Equations 8.1: introduction to Dynamical Systems of Several Equations 8.2: Characteristic Values 8.3: First Order Dynamical Systems of Several Equations 8.4: Regular Markov Chains 8.5: Absorbing Markov Chains 8.6: Applications of Absorbing Markov Chains 8.7: Long Term Behavior of Solutions 8.8: The Heat Equation

Review :
"A very nice book! It assumes minimal mathematical preparation and nevertheless arrives at very interesting and sophisticated results."--Maurice Kreevoy, University of Minnesota "Suitable for general audiences....Excellent examples and problems from many areas." --American Mathematical Monthly "The material presented in this textbook will help the reader apply discrete dynamics to many fields, such as business, economics, biology, genetics, engineering, and physics....[Sandefur] supplies interesting problems in all chapters; the answers to all even-numbered problems are given in the text. This book can serve as a valuable tool for researchers developing dynamic models." --Computing Reviews "A closely related textbook by the same author [Discrete Matematical Systems] was reviewed here previously....Modeling is more self-contained than Systems, in that it includes sections on elementary counting and probability and a short chapter on vectors and matrices (which are used in the final chapter to study dynamical systems of several linear equations). It also has new sections on elementary fractal geometry and on using spreadsheets to explore dynamical systems empirically. The latter section is especially well-written and could serve as an effective and entertaining tutorial on the use of spreadsheet software....Modeling could be a good choice for-to take an example-an honors course in dynamics at the high-school level. The exposition in both texts is outstanding....I hope that they both remain available in the future." --The UMAP Journal-The Journal of Undergraduate Mathematics and Its Applications


Best Sellers


Product Details
  • ISBN-13: 9780195084382
  • Publisher: Oxford University Press Inc
  • Publisher Imprint: Oxford University Press Inc
  • Height: 243 mm
  • No of Pages: 448
  • Spine Width: 37 mm
  • Width: 164 mm
  • ISBN-10: 0195084381
  • Publisher Date: 13 Jan 1994
  • Binding: Hardback
  • Language: English
  • Returnable: N
  • Weight: 771 gr


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
Discrete Dynamical Modeling
Oxford University Press Inc -
Discrete Dynamical Modeling
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.

Discrete Dynamical Modeling

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!