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Division By Zero Calculus History And Development
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Author :Saburou Saitoh Publisher :Scientific Research Publishing, Inc. USA ISBN 13 :1649972253 Total Pages :333 pages Book Rating :4.6/5 (499 download)
Book Synopsis Division by Zero Calculus—History and Development by : Saburou Saitoh
Download or read book Division by Zero Calculus—History and Development written by Saburou Saitoh and published by Scientific Research Publishing, Inc. USA. This book was released on 2021-11-29 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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?
Book Synopsis Division by Zero Calculus¿History and Development by : Saitoh Saburou
Download or read book Division by Zero Calculus¿History and Development written by Saitoh Saburou and published by . This book was released on 2021-11 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :SABUROU SAITOH Publisher :Scientific Research Publishing, Inc. USA ISBN 13 :1649970897 Total Pages :203 pages Book Rating :4.6/5 (499 download)
Book Synopsis Introduction to the Division by Zero Calculus by : SABUROU SAITOH
Download or read book Introduction to the Division by Zero Calculus written by SABUROU SAITOH and published by Scientific Research Publishing, Inc. USA. This book was released on 2021-02-04 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The History of the Calculus and Its Conceptual Development by : Carl B. Boyer
Download or read book The History of the Calculus and Its Conceptual Development written by Carl B. Boyer and published by Courier Corporation. This book was released on 2012-10-09 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluent description of the development of both the integral and differential calculus — its early beginnings in antiquity, medieval contributions, and a consideration of Newton and Leibniz.
Book Synopsis A Mathematical History of Division in Extreme and Mean Ratio by : Roger Herz-Fischler
Download or read book A Mathematical History of Division in Extreme and Mean Ratio written by Roger Herz-Fischler and published by Wilfrid Laurier Univ. Press. This book was released on 1987 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Origin and Significance of Zero by :
Download or read book The Origin and Significance of Zero written by and published by BRILL. This book was released on 2024-03-11 with total page 787 pages. Available in PDF, EPUB and Kindle. Book excerpt: Zero has been axial in human development, but the origin and discovery of zero has never been satisfactorily addressed by a comprehensive, systematic and above all interdisciplinary research program. In this volume, over 40 international scholars explore zero under four broad themes: history; religion, philosophy & linguistics; arts; and mathematics & the sciences. Some propose that the invention/discovery of zero may have been facilitated by the prior evolution of a sophisticated concept of Nothingness or Emptiness (as it is understood in non-European traditions); and conversely, inhibited by the absence of, or aversion to, such a concept of Nothingness in the West. But not all scholars agree. Join the debate.
Book Synopsis The Nothing that Is by : Robert Kaplan
Download or read book The Nothing that Is written by Robert Kaplan and published by Oxford University Press. This book was released on 1999-10-28 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: A symbol for what is not there, an emptiness that increases any number it's added to, an inexhaustible and indispensable paradox. As we enter the year 2000, zero is once again making its presence felt. Nothing itself, it makes possible a myriad of calculations. Indeed, without zero mathematics as we know it would not exist. And without mathematics our understanding of the universe would be vastly impoverished. But where did this nothing, this hollow circle, come from? Who created it? And what, exactly, does it mean? Robert Kaplan's The Nothing That Is: A Natural History of Zero begins as a mystery story, taking us back to Sumerian times, and then to Greece and India, piecing together the way the idea of a symbol for nothing evolved. Kaplan shows us just how handicapped our ancestors were in trying to figure large sums without the aid of the zero. (Try multiplying CLXIV by XXIV). Remarkably, even the Greeks, mathematically brilliant as they were, didn't have a zero--or did they? We follow the trail to the East where, a millennium or two ago, Indian mathematicians took another crucial step. By treating zero for the first time like any other number, instead of a unique symbol, they allowed huge new leaps forward in computation, and also in our understanding of how mathematics itself works. In the Middle Ages, this mathematical knowledge swept across western Europe via Arab traders. At first it was called "dangerous Saracen magic" and considered the Devil's work, but it wasn't long before merchants and bankers saw how handy this magic was, and used it to develop tools like double-entry bookkeeping. Zero quickly became an essential part of increasingly sophisticated equations, and with the invention of calculus, one could say it was a linchpin of the scientific revolution. And now even deeper layers of this thing that is nothing are coming to light: our computers speak only in zeros and ones, and modern mathematics shows that zero alone can be made to generate everything. Robert Kaplan serves up all this history with immense zest and humor; his writing is full of anecdotes and asides, and quotations from Shakespeare to Wallace Stevens extend the book's context far beyond the scope of scientific specialists. For Kaplan, the history of zero is a lens for looking not only into the evolution of mathematics but into very nature of human thought. He points out how the history of mathematics is a process of recursive abstraction: how once a symbol is created to represent an idea, that symbol itself gives rise to new operations that in turn lead to new ideas. The beauty of mathematics is that even though we invent it, we seem to be discovering something that already exists. The joy of that discovery shines from Kaplan's pages, as he ranges from Archimedes to Einstein, making fascinating connections between mathematical insights from every age and culture. A tour de force of science history, The Nothing That Is takes us through the hollow circle that leads to infinity.
Book Synopsis The History of the Calculus and Its Conceptual Development by : Carl Benjamin Boyer
Download or read book The History of the Calculus and Its Conceptual Development written by Carl Benjamin Boyer and published by Courier Corporation. This book was released on 1949 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Origins of Cauchy's Rigorous Calculus by : Judith V. Grabiner
Download or read book The Origins of Cauchy's Rigorous Calculus written by Judith V. Grabiner and published by Courier Corporation. This book was released on 2012-05-11 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text examines the reinterpretation of calculus by Augustin-Louis Cauchy and his peers in the 19th century. These intellectuals created a collection of well-defined theorems about limits, continuity, series, derivatives, and integrals. 1981 edition.
Book Synopsis Mathematics and Computation by : Avi Wigderson
Download or read book Mathematics and Computation written by Avi Wigderson and published by Princeton University Press. This book was released on 2019-10-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography
Book Synopsis What is Mathematics? by : Richard Courant
Download or read book What is Mathematics? written by Richard Courant and published by Oxford University Press, USA. This book was released on 1996 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but not real understanding or greater intellectual independence. The new edition of this classic work seeks to address this problem. Its goal is to put the meaning back into mathematics. "Lucid . . . easily understandable".--Albert Einstein. 301 linecuts.
Book Synopsis Teaching and Learning of Calculus by : David Bressoud
Download or read book Teaching and Learning of Calculus written by David Bressoud and published by Springer. This book was released on 2016-06-14 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: This survey focuses on the main trends in the field of calculus education. Despite their variety, the findings reveal a cornerstone issue that is strongly linked to the formalism of calculus concepts and to the difficulties it generates in the learning and teaching process. As a complement to the main text, an extended bibliography with some of the most important references on this topic is included. Since the diversity of the research in the field makes it difficult to produce an exhaustive state-of-the-art summary, the authors discuss recent developments that go beyond this survey and put forward new research questions.
Book Synopsis Algebra in Context by : Amy Shell-Gellasch
Download or read book Algebra in Context written by Amy Shell-Gellasch and published by JHU Press. This book was released on 2015-10-15 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: An engaging new approach to teaching algebra that takes students on a historical journey from its roots to modern times. This book’s unique approach to the teaching of mathematics lies in its use of history to provide a framework for understanding algebra and related fields. With Algebra in Context, students will soon discover why mathematics is such a crucial part not only of civilization but also of everyday life. Even those who have avoided mathematics for years will find the historical stories both inviting and gripping. The book’s lessons begin with the creation and spread of number systems, from the mathematical development of early civilizations in Babylonia, Greece, China, Rome, Egypt, and Central America to the advancement of mathematics over time and the roles of famous figures such as Descartes and Leonardo of Pisa (Fibonacci). Before long, it becomes clear that the simple origins of algebra evolved into modern problem solving. Along the way, the language of mathematics becomes familiar, and students are gradually introduced to more challenging problems. Paced perfectly, Amy Shell-Gellasch and J. B. Thoo’s chapters ease students from topic to topic until they reach the twenty-first century. By the end of Algebra in Context, students using this textbook will be comfortable with most algebra concepts, including • Different number bases • Algebraic notation • Methods of arithmetic calculation • Real numbers • Complex numbers • Divisors • Prime factorization • Variation • Factoring • Solving linear equations • False position • Solving quadratic equations • Solving cubic equations • nth roots • Set theory • One-to-one correspondence • Infinite sets • Figurate numbers • Logarithms • Exponential growth • Interest calculations
Book Synopsis Division by Zero: Natural by : Peter Boczar
Download or read book Division by Zero: Natural written by Peter Boczar and published by . This book was released on 2021-02-03 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: Division by Zero is not really a book about math. It's a book about thinking creatively. It just uses math as the basis for discussion. It encourages us to evaluate all assumptions and rules in any system, be it in a classroom or organization. And look to nature as a guide. If we don't, then we won't grow and evolve. Personally, professionally or spiritually. And nature teaches us that things which don't grow, die.
Book Synopsis The Historical Development of the Calculus by : C.H.Jr. Edwards
Download or read book The Historical Development of the Calculus written by C.H.Jr. Edwards and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: The calculus has served for three centuries as the principal quantitative language of Western science. In the course of its genesis and evolution some of the most fundamental problems of mathematics were first con fronted and, through the persistent labors of successive generations, finally resolved. Therefore, the historical development of the calculus holds a special interest for anyone who appreciates the value of a historical perspective in teaching, learning, and enjoying mathematics and its ap plications. My goal in writing this book was to present an account of this development that is accessible, not solely to students of the history of mathematics, but to the wider mathematical community for which my exposition is more specifically intended, including those who study, teach, and use calculus. The scope of this account can be delineated partly by comparison with previous works in the same general area. M. E. Baron's The Origins of the Infinitesimal Calculus (1969) provides an informative and reliable treat ment of the precalculus period up to, but not including (in any detail), the time of Newton and Leibniz, just when the interest and pace of the story begin to quicken and intensify. C. B. Boyer's well-known book (1949, 1959 reprint) met well the goals its author set for it, but it was more ap propriately titled in its original edition-The Concepts of the Calculus than in its reprinting.
Book Synopsis Communication in History by : Peter Urquhart
Download or read book Communication in History written by Peter Urquhart and published by Routledge. This book was released on 2018-09-03 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in its 7th edition, Communication in History reveals how media has been influential in both maintaining social order and as powerful agents of change. Thirty-eight contributions from a wide range of voices offer instructors the opportunity to customize their courses while challenging students to build upon their own knowledge and skill sets. From stone-age symbols and early writing to the Internet and social media, readers are introduced to an expansive, intellectually enlivening study of the relationship between human history and communication media.
Book Synopsis MATH 221 FIRST Semester Calculus by : Sigurd Angenent
Download or read book MATH 221 FIRST Semester Calculus written by Sigurd Angenent and published by . This book was released on 2014-11-26 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: MATH 221 FIRST Semester CalculusBy Sigurd Angenent
