Subjects:  1. Mathematics    2. Science/Mathematics    3. Study & Teaching    4. Study and teaching (Secondary)    5. Chaos theory & fractals    6. Mathematics / Study & Teaching    7. Mathematics | Pure Mathematics    8. Popular science    9. Puzzles & quizzes   

Subjects:  1. Computer Books: General    2. Computer Graphics - General    3. Computers    4. Electronic And Computer Art    5. Fractals    6. Fractals (Computer Science)    7. Mathematics    8. Topology - Fractals   

Reviews (1)

Only book I've seen that understands both subjects
Bovill does a good job of explaining the principles of fractal geometry in layman's terms for those not already familiar with them. I was particularly impressed with his understanding of how fractal dimension varies with scaleand which scales are important for architecture. However, I wasdisappointed that there were no references made to structural properties offractals and how they might have excellent strength to weight ratios for awide range of scales. Everything was taken from a design perspectiveconcerned with texture. ... Read more

Subjects:  1. Architectural design    2. Architecture    3. Composition, proportion, etc    4. Geometry in architecture    5. Interior Design - General    6. Study & Teaching    7. Architecture / Interior Design    8. Architecture-Study & Teaching    9. Design    10. Fractal Geometry    11. Fractals    12. Mathematics / Applied    13. Mathematics for scientists & engineers    14. Theory of architecture   

Reviews (1)

See how fractals can be part of the math curriculum
When I teach computer programming, the sections that raise the greatest amount of interest are those that involve the manipulation of images. Therefore, it is natural to me that any mathematics that involves the manipulation of images would generate a great deal of student interest. I was a working mathematician when the concept of fractals hit the world, and like so many others was caught up in the excitement. I wrote programs to generate them and read all of the major books. Read more

Subjects:  1. Fractals    2. Mathematics    3. Mathematics / Geometry / General    4. Mathematics / Study & Teaching    5. Probability & Statistics - General    6. Science/Mathematics    7. Topology - Fractals    8. Analytic topology    9. Calculus & mathematical analysis    10. Geometry    11. Mathematics / General    12. Study & Teaching    13. Study and teaching   

Subjects:  1. Advanced Placement    2. Calculus    3. Study Aids    4. Study Guides    5. Tests    6. Chaos theory & fractals    7. Study Aids / General    8. Study guides, home study & revision notes   

Subjects:  1. Mathematical Physics    2. Science    3. Science/Mathematics    4. Chaos theory    5. Theoretical methods   

Reviews (3)

A nice book
I liked this book because it provided me with a new perspective on metricspaces, in using them as a basis learning about fractals. I think it servesas a nice book for an undergraduate to read and get enthused about studyingfractals at a higher level.

Good starting point to study fractal geometry.
This book could be used as a bridge between traditional books on topology-analysis and the speciallized treatises on fractal geometry. More a catalog of definitions, methods, and references than a course text, itcovers the fundamental topological and measure-theoretic concepts needed tounderstand the principles of some of the different dimension theories thatexist. But warning: the book is far away of being a complete exposition onany of the subjects it includes. A difficult but worthy book!
The programs are in LOGO: don't let the turtles fool you, this is the real stuff by a master teacher. It is hard and the examples are even harder. The problem sets are at times impossible, but in the end Dr. Edgar delivers: understanding! Your unique Associates ID is:thefractaltransl. ... Read more

Subjects:  1. Fractal Geometry    2. Fractals    3. Geometry - General    4. Mathematical Analysis    5. Mathematics    6. Measure theory    7. Science/Mathematics    8. Topology    9. Mathematics / Functional Analysis   

Subjects:  1. Computer-Aided Instruction (General)    2. Computer-assisted instruction    3. Differential Equations    4. Macsyma    5. Mathematics    6. Numerical Solutions Of Differential Equations    7. Numerical solutions    8. Science/Mathematics    9. Chaos theory & fractals    10. Educational resources & technology   

Subjects:  1. Differential Equations    2. Education    3. Education / Teaching    4. Teaching Methods & Materials - Mathematics    5. Chaos theory & fractals    6. Mathematics / General   

Subjects:  1. Calculus    2. Differential Equations    3. Fractional calculus    4. Mathematical Physics    5. Physics    6. Science    7. Science/Mathematics    8. Analytic topology    9. Fractals    10. Science / Physics   

Subjects:  1. Differential Equations    2. Mathematical Analysis    3. Mathematics    4. Probability & Statistics - General    5. Science/Mathematics    6. 60-02, 82-02, 60D05, 60G17, 60G50, 60H30, 60H15, 60J10, 60J65, 60K35, 28A80, 28A78, 31C15, 82C41 82B24, 82B31, 82B41, 82C24, 82C31, 82C41, 35J20, 35K55, 35R35    7. Hydrodynamic limit    8. Mathematics / Statistics    9. Multi-fractal analysis    10. Probability & statistics    11. Random interfaces    12. Random walk   

Reviews (3)

Not too bad
In the field of chaotic dynamics, does there exist _the_ standard textbook for undergrads? I think not. Still, in most colleges, _chaos_ is a subtopic you briefly go through (most of the time just `skipped' through) while studying differential equations, mathematical physics or classical physics. To be competely honest, my impression is that those ``subtopics'' usually don't make a good intro to chaotic dynamics, either. I have read some textbooks targeted at undergraduates and Gulick's was not too bad to skim through what we have in chaotic dynamics. However, Gulick pays too much attention on the basics (analysis and differential equations) and this may seem such a waste of space given the limited number of pages (some two hundreds). Naturally, his explanations are not detailed and gives the impression that things are done rather hastily. But, I must say, this book is superier to some other books that spends time neither on the basics nor the analytic aspects of chaotic dynamics.

Only Okay
I had to use this book for a class I took at Bryn Mawr college called "Chaotic Dynamical Systems".There are some mistakes in the book, although I don't remember specifically what they were, and my instructor had to point some of them out.The book, to my knowledge, only covers discrete dynamical systems, and contrary to what the above reviewer says, there is some real analysis involved: i.e. some proofs and definitions involving epsilon and delta.That's about all I can say because I don't remember the book very well, and we only got through about half of it.I recall that most people in my class didn't like the book very much either.

Fantastic Resource for Undergraduates
Denny Gulick opens here a direct access to the mathematical technics for understanding chaotic phenomena. Any undergraduate with some pre or calculus knowledge, little algebra and very few differential equations (rich introductions to these topics are included in every chapter)can access the basics of this growing "Chaos Theory", that is beeing applied to dynamics in all fields. Professor Gulick makes an outstanding aproach with this book. He makes accesible this field to beginners, self-students or newcomers to mathematics, covering so a huge gap in the literature. It is full of examples, detailed exercises and explained in a very comprehensible and student-friendly way, without losing rigour and technic. It has a companion booklet to order separately that includes "all the solutions to the exercises, done step by step and a true Basic software for Pcs or Macs. ... Read more

Subjects:  1. Chaos Theory (Mathematics)    2. Chaotic behavior in systems    3. Fractals    4. General    5. Mathematics    6. Science/Mathematics    7. System Theory    8. Chaos theory   

Reviews (1)

Good introduction, but few mathematical details
This book was used as the textbook for my high school chaos theory class. It does a good job explaining the definitions of many terms used in the field, such as Julia sets and Mandelbrot sets, and provides code for computing these sets on a TI-83 graphing calculator. However, the book does not assume previous exposure to calculus and therefore cannot extend far beyond an experimental investigation of chaotic systems. Several important results are stated without proof or reference to their source. If you simply want to learn the basics about chaos and fractals, this book may be useful, although for a theoretical investigation of these topics this book is not the best choice. ... Read more

Subjects:  1. General    2. Mathematics    3. Science/Mathematics   

Subjects:  1. General    2. Geometry - General    3. Mathematics    4. Science/Mathematics    5. Fractals    6. Mathematics / Geometry / General   

Subjects:  1. Calculus    2. Functional Analysis    3. Mathematics    4. Science/Mathematics    5. Chaos theory & fractals    6. Mathematics / Functional Analysis    7. Mathematics and Science   

Reviews (2)

beautiful BW photographs
I just got this book from the library. It many well printed BW photographs. There is some math discussion on fractals but there is no discussion of computer software for generating fractals pictures. Still a great book.

A beautiful journey through math and nature
One of the only fractal books available for non-mathematicians, An Eye forFractals interweaves beautiful photographs of natural scenes withexplanations of their fractal geometric characteristics.It gives enoughinformation about fractals for a beginner to understand what they are andhow they apply to nature.Its photography makes it a perfect book to leaveout on the coffee table.Read more

Subjects:  1. Computer Bks - Languages / Programming    2. Fractal Geometry    3. Fractals    4. Geometry - General    5. Programming Languages - General    6. Science/Mathematics    7. Analytic topology   

Subjects:  1. Calculus    2. Education    3. Juvenile Mathematics    4. Mathematics    5. Teaching Methods & Materials - Mathematics    6. Calculus & mathematical analysis    7. Chaos theory & fractals    8. Designed / suitable for A & AS Level    9. Mathematics / General   

Subjects:  1. Structural Properties Of Materials   

Subjects:  1. Applied    2. Congresses    3. Fourier transformations    4. Fractals    5. Harmonic Analysis    6. Infinity    7. Mathematics    8. Physics    9. Science/Mathematics    10. Wavelets (Mathematics)    11. Calculus & mathematical analysis    12. Mathematics / Applied    13. Mathematics | Pure Mathematics