For real, complex, and transcomplex numbers
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.
The
Golden E-Book of Graphs of Mathematical Functions: A selection of some
beautiful mathematical surfaces from the domain of the real and transcomplex
numbers systems.This free E-Book 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.
Don't miss this opportunity! Download it now; for limited time it's free!
Flatland,
by Edwin A. Abbott, is mentioned in some of the articles in this web site. In
order that the reader understand the background of the articles, we are giving a
gift to the visitor: a free copy of Flatland, the book that made history.
Flatland is the fascinating story of the people that live in world that unlike our space, theirs is only of two dimensions. People living there are unable to imagine a world with three dimensions like ours.
This book is a must-read to the understanding of the fourth dimension because we are in a similar situation like A. Square, the main the character that was imprisoned accused of perverting the Flatlanders by preaching that there is another dimension beyond theirs.
What can we expect to see if we are visited by a hypersphere from the fourth dimension? Well, A. Square was visited by a Sphere from our dimensions. This is just one of his adventures and tribulations.
This highly imaginative book is now available in a high quality PDF format with the author's original drawings.
Selected
Papers of Charles Hinton Charles Hinton was a prolific and highly imaginative writer that set the line of thought for future writers about the fourth dimension. He elaborated and devised mental exercises to envision the fourth dimension.
In this E-Book, you can find some of his most outstanding and famous articles. See the origin of the classical inductive reasoning that starts from the two dimensional line up to the plane, the tridimensional space, and finally to the fourth dimension.
A high quality PDF E-Book with some of the author's original drawings redrawn for the best presentation.
While
you are here ...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 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.
