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A First Course in Discrete Dynamical Systems (Universitext)By Richard Holmgren

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Given the ease with which computers can do iteration it is now possible for almost anyone to generate beautiful images whose roots lie in discrete dynamical systems. Images of Mandelbrot and Julia sets abound in publications both mathematical and not. The mathematics behind the pictures are beautiful in their own right and are the subject of this text. Mathematica programs that illustrate the dynamics are included in an appendix.

• Sales Rank: #1878024 in Books
• Published on: 2013-10-04
• Original language: English
• Number of items: 1
• Dimensions: 9.25" h x .55" w x 6.10" l, .73 pounds
• Binding: Paperback
• 223 pages

From the Back Cover
A discrete dynamical system can be characterized as an iterated function. Given the efficiency with which computers can do iteration, it is now possible for anyone with access to a personal computer to generate beautiful images whose roots lie in discrete dynamical systems. Images of Mandelbrot and Julia sets abound in publications both mathematical and not. The mathematics behind the pictures is beautiful in its own right and is the subject of this text. The level of presentation is suitable for advanced undergraduates who have completed a year of college-level calculus. Concepts from calculus are reviewed as necessary. Mathematica programs that illustrate the dynamics and that will aid the student in doing the exercises are included in the Appendix. In this second edition, the topics covered are rearranged to make the text more flexible. In particular, the material on symbolic dynamics is now optional, and the book can easily be used for a single-semester course dealing exclusively with functions of a single real variable. Alternatively, the basic properties of dynamical systems can be introduced using functions of a real variable, and then the reader can skip directly to the material on the dynamics of complex functions. Additional changes include the simplification of several proofs, a thorough review and expansion of the exercises, and substantial improvement in the efficiency of the Mathematica programs.

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PDF Download Permission to Forget: And Nine Other Root Causes of America's Frustration with EducationBy Lee Jenkins

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Permission to Forget: And Nine Other Root Causes of America's Frustration with EducationBy Lee Jenkins

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When a successful organization experiences a problem, it will use root-cause analysis to determine why the problem happened, and identify the steps need to correct and ultimately prevent it from happening again. You cannot fix it until you know where it is broken, but you cannot find out what is broken until you ask the right questions. But within the American education system, the prevailing attitude is to say ‘that’s just how the system works,’ or to issue a general blame to the bureaucrats in Washington and the state capitol. Many people see that it is wrong, but few are asking the right questions to figure out why.

Best-selling author Lee Jenkins has spent his entire career working in and with schools, beginning as a teacher, principal, superintendent, and now a consultant helping schools tackle difficult problems. Jenkins believes that the problem with the American school system lies with the poor management system in place at all levels, including the classroom, school, and district. In Permission to Forget, Jenkins has identified ten critical root-cause problems and offers concise solutions to help change them. This book is the companion for Jenkins’ best-selling guide Improving Student Learning which provides in-depth answers to these ten problems.

• Sales Rank: #610582 in Books
• Brand: Brand: Amer Society for Quality
• Published on: 2004-10-30
• Original language: English
• Number of items: 1
• Dimensions: 8.75" h x 6.00" w x .50" l, .65 pounds
• Binding: Paperback
• 162 pages

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Permission to Forget: And Nine Other Root Causes of America's Frustration with EducationBy Lee Jenkins PDF
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Permission to Forget: And Nine Other Root Causes of America's Frustration with EducationBy Lee Jenkins iBooks
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Permission to Forget: And Nine Other Root Causes of America's Frustration with EducationBy Lee Jenkins PDF

Permission to Forget: And Nine Other Root Causes of America's Frustration with EducationBy Lee Jenkins PDF

Permission to Forget: And Nine Other Root Causes of America's Frustration with EducationBy Lee Jenkins PDF

Permission to Forget: And Nine Other Root Causes of America's Frustration with EducationBy Lee Jenkins PDF

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