A selection of some beautiful mathematical surfaces from the domain of the real and transcomplex numbers systems.
For downloads click on the image of the cover of the E-Book. Unique editions! Not chopped chapter by chapter! Download without any restriction. Fully printable, all of them in PDF format.
This EBook is an introduction to the transcomplex surfaces. It begins with simple algebraic and trigonometric tridimensional surfaces. It ends with an application of the equiangular spiral of the transcomplex exponential function to the problem of interplanetary journeys, taking the specific travel of the Mariner 4 to the planet Mars launched by NASA on November 28, 1964.
Generously illustrated with 267 figures. 4Mb in PDF format for excellent readability.
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The Golden EBook of Graphs of Mathematical Functions.
Maybe Descartes never imagined how far was going to evolve his system and how much beauty is in his coordinate system. What if we add coloring to the math plots? What if we add real-life picture transformations to the mathematical equations? What are one-to-one (1-1) transformations? How can a 2-dimensional figure be transformed into a 3-dimensional surface? This book has some elementary answers to those profound questions.
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take a look at the book of the foundations of transcomplex numbers. This is a book that goes step by step starting with the foundations of the real numbers system, stepping to the imaginary numbers, building the complex number system and finally making the extension of the to four dimensions.
I you liked The Golden E-Book of Graphs of Mathematical Functions above you are also going to love Foundations of Transcomplex Numbers .
Foundations of Transcomplex Numbers is a book about the complex numbers field and how it can be extended to four dimensions. Yes, the complex numbers field is a planar field in the sense that it is made of real and imaginary numbers only (two dimensions), but this field can be extended to four dimensions and retain all the properties that we are accustomed to see with the complex variables.
Click on the cover page image to see many sample pages of the book.
... the colorful graphs seen in The Golden E-Book of Graphs of Mathematical Functions? Do you want to make your own graphs or plots like the ones you see in this E-Book?
You can. 4DLab - the software for easy equation and plotting was made specially to draw equation plots like no other graphing software. With 4DLab is very easy to make graphs of mathematical surfaces because 4DLab was constructed to make spatial graphs, and to make planar Cartesian graphs, and to plot 2-dimensional surfaces as seen from the 3D-space.
Take another look at:
and see other trigonometric graphs not included in the The Golden E-Book.