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Division By Zero Calculus History And Development


Division By Zero Calculus History And Development
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Division By Zero Calculus History And Development


Division By Zero Calculus History And Development
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Author : Saburou Saitoh
language : en
Publisher: Scientific Research Publishing, Inc. USA
Release Date : 2021-11-29

Division By Zero Calculus History And Development written by Saburou Saitoh and has been published by Scientific Research Publishing, Inc. USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-29 with Antiques & Collectibles categories.


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?



A Brief History Of Mathematics For Curious Minds


A Brief History Of Mathematics For Curious Minds
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Author : Krzysztof R Apt
language : en
Publisher: World Scientific
Release Date : 2023-11-17

A Brief History Of Mathematics For Curious Minds written by Krzysztof R Apt and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-17 with Mathematics categories.


This book offers a short and accessible account of the history of mathematics, written for the intelligent layman to gain a better appreciation of its beauty, relevance, and place in history. It traces the development of the subject throughout the centuries, starting with the so-called Lebombo bone, the oldest known mathematical object that was estimated to be at least 43,000 years old, and ending with the 21st century.The presentation is informal, and no prior knowledge of mathematics is needed to enjoy the systematic chronological insights. A collection of appendices is included for more technical material — though still at the level of secondary school mathematics — and is concerned with the historically important proofs and concepts that can be explained in a simple way.



The Origin And Significance Of Zero


The Origin And Significance Of Zero
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Author :
language : en
Publisher: BRILL
Release Date : 2024-03-11

The Origin And Significance Of Zero written by and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-11 with Philosophy categories.


Winner of the 2024 Outstanding Academic Titles award in Choice, a publishing unit of the Association of College & Research Libraries (ACRL) 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.



Mathematics Before And After Pythagoras


Mathematics Before And After Pythagoras
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Author : Ravi P. Agarwal
language : en
Publisher: Springer Nature
Release Date : 2024-11-29

Mathematics Before And After Pythagoras written by Ravi P. Agarwal and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-29 with Mathematics categories.


This book provides the reader with a comprehensive account of the contributions of Pythagoras to mathematics and philosophy, using them as a starting point to compare pre-Pythagorean accomplishments with the myriad mathematical developments that followed. It begins with a thorough study of Pythagoreanism and the early Pythagoreans, including the major events in Pythagoras' life and the origins of the mystical significance attributed by Pythagoreans to natural numbers. From Chapter 3 onward, the book describes how mathematical thinking works and prepares the reader for the subsequent chapters, which cover mathematical logic and proofs, their application to the study of natural and prime numbers, the investigation of Pythagorean triples, figurative numbers, and irrational numbers, all interwoven with rich historical context. Aimed at students and teachers at all levels, this work is accessible to non-mathematicians as well, with the main prerequisite being an avid curiosity about some of the ideas and thinkers that helped to forge the mathematical world as we know it. Early praises for “Mathematics Before and After Pythagoras”: “Your book is charming and fun to read. It would be fine to be able to teach from it.” (Steve Krantz, USA) “...your new book, an obvious labor of love... I can see that it will be an inspiration for young students.” (Bruce Berndt, USA) “It is an excellent book, and I am deeply grateful for sending it to me. It is an extraordinary gift, and I am so grateful for this.” (Carlo Cattani, Italy) “I am really impressed by the wealth of interesting material you have collected and presented.” (Rainer Kress, Germany)



Wittgenstein On Mathematics


Wittgenstein On Mathematics
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Author : Severin Schroeder
language : en
Publisher: Routledge
Release Date : 2020-12-30

Wittgenstein On Mathematics written by Severin Schroeder and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-30 with Philosophy categories.


This book offers a detailed account and discussion of Ludwig Wittgenstein’s philosophy of mathematics. In Part I, the stage is set with a brief presentation of Frege’s logicist attempt to provide arithmetic with a foundation and Wittgenstein’s criticisms of it, followed by sketches of Wittgenstein’s early views of mathematics, in the Tractatus and in the early 1930s. Then (in Part II), Wittgenstein’s mature philosophy of mathematics (1937-44) is carefully presented and examined. Schroeder explains that it is based on two key ideas: the calculus view and the grammar view. On the one hand, mathematics is seen as a human activity — calculation — rather than a theory. On the other hand, the results of mathematical calculations serve as grammatical norms. The following chapters (on mathematics as grammar; rule-following; conventionalism; the empirical basis of mathematics; the role of proof) explore the tension between those two key ideas and suggest a way in which it can be resolved. Finally, there are chapters analysing and defending Wittgenstein’s provocative views on Hilbert’s Formalism and the quest for consistency proofs and on Gödel’s incompleteness theorems.



Communication In History


Communication In History
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Author : Peter Urquhart
language : en
Publisher: Taylor & Francis
Release Date : 2024-01-26

Communication In History written by Peter Urquhart and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-26 with History categories.


This updated eighth edition provides a thorough and engaging history of communication and media through a collection of essential, field-defining essays. The collection reveals how media has been influential in both maintaining social order and enabling social change. 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. New case studies explore the Black Press, the impact of photography on journalism, gender and civil rights discourses in the media, and the effects of algorithmic data on modern social media platforms. This book can be used as a core text or supplemental reader for courses in communication history, communication theory, and introductory courses in communication and media studies.



Communication In History


Communication In History
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Author : David Crowley
language : en
Publisher: Routledge
Release Date : 2015-09-30

Communication In History written by David Crowley and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-30 with Language Arts & Disciplines categories.


Updated in a new 6th edition, Communication in History reveals how media has been influential in both maintaining social order and as powerful agents of change. With revised new readings, this anthology continues to be, as one reviewer wrote, "the only book in the sea of History of Mass Communication books that introduces readers to a more expansive, intellectually enlivening study of the relationship between human history and communication history". From print to the Internet, this book encompasses a wide-range of topics, that introduces readers to a more expansive, intellectually enlivening study of the relationship between human history and communication history.



A To Z Of Mathematicians


A To Z Of Mathematicians
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Author : Tucker McElroy
language : en
Publisher: Infobase Publishing
Release Date : 2014-05-14

A To Z Of Mathematicians written by Tucker McElroy and has been published by Infobase Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with Mathematicians categories.


Profiles more than 150 mathematicians from around the world who made important contributions to their field, including Rene Descartes, Emily Noether and Bernhard Riemann.



Advanced Calculus Revised Edition


Advanced Calculus Revised Edition
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Author : Lynn Harold Loomis
language : en
Publisher: World Scientific Publishing Company
Release Date : 2014-02-26

Advanced Calculus Revised Edition written by Lynn Harold Loomis and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-26 with Mathematics categories.


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.



Introduction To Differential Calculus


Introduction To Differential Calculus
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Author : Ulrich L. Rohde
language : en
Publisher: John Wiley & Sons
Release Date : 2012-01-12

Introduction To Differential Calculus written by Ulrich L. Rohde and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-12 with Mathematics categories.


Enables readers to apply the fundamentals of differential calculus to solve real-life problems in engineering and the physical sciences Introduction to Differential Calculus fully engages readers by presenting the fundamental theories and methods of differential calculus and then showcasing how the discussed concepts can be applied to real-world problems in engineering and the physical sciences. With its easy-to-follow style and accessible explanations, the book sets a solid foundation before advancing to specific calculus methods, demonstrating the connections between differential calculus theory and its applications. The first five chapters introduce underlying concepts such as algebra, geometry, coordinate geometry, and trigonometry. Subsequent chapters present a broad range of theories, methods, and applications in differential calculus, including: Concepts of function, continuity, and derivative Properties of exponential and logarithmic function Inverse trigonometric functions and their properties Derivatives of higher order Methods to find maximum and minimum values of a function Hyperbolic functions and their properties Readers are equipped with the necessary tools to quickly learn how to understand a broad range of current problems throughout the physical sciences and engineering that can only be solved with calculus. Examples throughout provide practical guidance, and practice problems and exercises allow for further development and fine-tuning of various calculus skills. Introduction to Differential Calculus is an excellent book for upper-undergraduate calculus courses and is also an ideal reference for students and professionals alike who would like to gain a further understanding of the use of calculus to solve problems in a simplified manner.