Introduction to the Division by Zero Calculus
Author : Saburou Saitoh
Publisher :
Page : pages
File Size : 49,20 MB
Release : 2021-02-04
Category :
ISBN : 9781649970886
Author : Saburou Saitoh
Publisher :
Page : pages
File Size : 49,20 MB
Release : 2021-02-04
Category :
ISBN : 9781649970886
Author : SABUROU SAITOH
Publisher : Scientific Research Publishing, Inc. USA
Page : 203 pages
File Size : 32,81 MB
Release : 2021-02-04
Category : Mathematics
ISBN : 1649970897
The common sense on the division by zero with the long and mysterious history is wrong and our basic idea on the space around the point at infinity is also wrong since Euclid. On the gradient or on differential coefficients we have a great missing since tan(π/2) = 0. Our mathematics is also wrong in elementary mathematics on the division by zero. In this book in a new and definite sense, we will show and give various applications of the division by zero 0/0 = 1/0 = z/0 = 0. In particular, we will introduce several fundamental concepts in calculus, Euclidean geometry, analytic geometry, complex analysis and differential equations. We will see new properties on the Laurent expansion, singularity, derivative, extension of solutions of differential equations beyond analytical and isolated singularities, and reduction problems of differential equations. On Euclidean geometry and analytic geometry, we will find new fields by the concept of the division by zero. We will collect many concrete properties in mathematical sciences from the viewpoint of the division by zero. We will know that the division by zero is our elementary and fundamental mathematics.
Author : Saitoh Saburou
Publisher :
Page : pages
File Size : 16,89 MB
Release : 2021-11
Category :
ISBN : 9781649972248
Author : Saburou Saitoh
Publisher : Scientific Research Publishing, Inc. USA
Page : 333 pages
File Size : 39,15 MB
Release : 2021-11-29
Category : Antiques & Collectibles
ISBN : 1649972253
This is based on the record of how I have been discovering and pioneering a new world by breaking the first of the Ten Commandments of Mathematics, which has been 2300 years since Aristotle and must not be divided by zero. I am involved in the basic issues of humankind involved in mathematical physics, philosophy, and worldview. What is eternity and what is infinity? What is the significance of human existence?
Author : Sandra Pinelas
Publisher : Springer
Page : 640 pages
File Size : 17,92 MB
Release : 2018-05-08
Category : Mathematics
ISBN : 3319756478
This book gathers papers from the International Conference on Differential & Difference Equations and Applications 2017 (ICDDEA 2017), held in Lisbon, Portugal on June 5-9, 2017. The editors have compiled the strongest research presented at the conference, providing readers with valuable insights into new trends in the field, as well as applications and high-level survey results. The goal of the ICDDEA was to promote fruitful collaborations between researchers in the fields of differential and difference equations. All areas of differential and difference equations are represented, with a special emphasis on applications.
Author : Lynn Harold Loomis
Publisher : World Scientific Publishing Company
Page : 595 pages
File Size : 26,8 MB
Release : 2014-02-26
Category : Mathematics
ISBN : 9814583952
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
Author : Denise Gaskins
Publisher : Tabletop Academy Press
Page : 288 pages
File Size : 34,75 MB
Release : 2012-09-04
Category : Education
ISBN : 1892083248
Author : Stephen Boyd
Publisher : Cambridge University Press
Page : 477 pages
File Size : 35,49 MB
Release : 2018-06-07
Category : Business & Economics
ISBN : 1316518965
A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.
Author : Robert J. Bond
Publisher : Waveland Press
Page : 344 pages
File Size : 31,36 MB
Release : 2007-08-24
Category : Mathematics
ISBN : 1478608056
Bond and Keane explicate the elements of logical, mathematical argument to elucidate the meaning and importance of mathematical rigor. With definitions of concepts at their disposal, students learn the rules of logical inference, read and understand proofs of theorems, and write their own proofs all while becoming familiar with the grammar of mathematics and its style. In addition, they will develop an appreciation of the different methods of proof (contradiction, induction), the value of a proof, and the beauty of an elegant argument. The authors emphasize that mathematics is an ongoing, vibrant disciplineits long, fascinating history continually intersects with territory still uncharted and questions still in need of answers. The authors extensive background in teaching mathematics shines through in this balanced, explicit, and engaging text, designed as a primer for higher- level mathematics courses. They elegantly demonstrate process and application and recognize the byproducts of both the achievements and the missteps of past thinkers. Chapters 1-5 introduce the fundamentals of abstract mathematics and chapters 6-8 apply the ideas and techniques, placing the earlier material in a real context. Readers interest is continually piqued by the use of clear explanations, practical examples, discussion and discovery exercises, and historical comments.
Author : Sigurd Angenent
Publisher :
Page : 134 pages
File Size : 33,88 MB
Release : 2014-11-26
Category :
ISBN : 9781505204841
MATH 221 FIRST Semester CalculusBy Sigurd Angenent