Division By Zero Natural

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Introduction to the Division by Zero Calculus

Author : SABUROU SAITOH
Publisher : Scientific Research Publishing, Inc. USA
ISBN 13 : 1649970897
Total Pages : 203 pages
Book Rating : 4.6/5 (499 download)

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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.

Division by Zero: Natural

Author : Peter Boczar
Publisher :
ISBN 13 : 9789887515807
Total Pages : 118 pages
Book Rating : 4.5/5 (158 download)

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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.

Introduction to Logic

Author : Patrick Suppes
Publisher : Courier Corporation
ISBN 13 : 0486138054
Total Pages : 340 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Introduction to Logic by : Patrick Suppes

Download or read book Introduction to Logic written by Patrick Suppes and published by Courier Corporation. This book was released on 2012-07-12 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part I of this coherent, well-organized text deals with formal principles of inference and definition. Part II explores elementary intuitive set theory, with separate chapters on sets, relations, and functions. Ideal for undergraduates.

Complex Function Theory

Author : Donald Sarason
Publisher : American Mathematical Society
ISBN 13 : 1470463237
Total Pages : 177 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Complex Function Theory by : Donald Sarason

Download or read book Complex Function Theory written by Donald Sarason and published by American Mathematical Society. This book was released on 2021-02-16 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex Function Theory is a concise and rigorous introduction to the theory of functions of a complex variable. Written in a classical style, it is in the spirit of the books by Ahlfors and by Saks and Zygmund. Being designed for a one-semester course, it is much shorter than many of the standard texts. Sarason covers the basic material through Cauchy's theorem and applications, plus the Riemann mapping theorem. It is suitable for either an introductory graduate course or an undergraduate course for students with adequate preparation. The first edition was published with the title Notes on Complex Function Theory.

Tales of Impossibility

Author : David S. Richeson
Publisher : Princeton University Press
ISBN 13 : 0691218722
Total Pages : 450 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Tales of Impossibility by : David S. Richeson

Download or read book Tales of Impossibility written by David S. Richeson and published by Princeton University Press. This book was released on 2021-11-02 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive look at four of the most famous problems in mathematics Tales of Impossibility recounts the intriguing story of the renowned problems of antiquity, four of the most famous and studied questions in the history of mathematics. First posed by the ancient Greeks, these compass and straightedge problems—squaring the circle, trisecting an angle, doubling the cube, and inscribing regular polygons in a circle—have served as ever-present muses for mathematicians for more than two millennia. David Richeson follows the trail of these problems to show that ultimately their proofs—which demonstrated the impossibility of solving them using only a compass and straightedge—depended on and resulted in the growth of mathematics. Richeson investigates how celebrated luminaries, including Euclid, Archimedes, Viète, Descartes, Newton, and Gauss, labored to understand these problems and how many major mathematical discoveries were related to their explorations. Although the problems were based in geometry, their resolutions were not, and had to wait until the nineteenth century, when mathematicians had developed the theory of real and complex numbers, analytic geometry, algebra, and calculus. Pierre Wantzel, a little-known mathematician, and Ferdinand von Lindemann, through his work on pi, finally determined the problems were impossible to solve. Along the way, Richeson provides entertaining anecdotes connected to the problems, such as how the Indiana state legislature passed a bill setting an incorrect value for pi and how Leonardo da Vinci made elegant contributions in his own study of these problems. Taking readers from the classical period to the present, Tales of Impossibility chronicles how four unsolvable problems have captivated mathematical thinking for centuries.

Analysis I

Author : Terence Tao
Publisher : Springer
ISBN 13 : 9811017891
Total Pages : 366 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Analysis I by : Terence Tao

Download or read book Analysis I written by Terence Tao and published by Springer. This book was released on 2016-08-29 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is part one of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book discusses the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and then finally the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. The book also has appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of 25–30 lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory.

The Nothing that is

Author :
Publisher : Oxford University Press, USA
ISBN 13 : 0195128427
Total Pages : 238 pages
Book Rating : 4.1/5 (951 download)

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Book Synopsis The Nothing that is by :

Download or read book The Nothing that is written by and published by Oxford University Press, USA. This book was released on 2000 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the tradition of "Longitude, " a small and engagingly written book on the history and meaning of zero--a "tour de force" of science history that takes us through the hollow circle that leads to infinity. 32 illustrations.

Book of Proof

Author : Richard H. Hammack
Publisher :
ISBN 13 : 9780989472111
Total Pages : 314 pages
Book Rating : 4.4/5 (721 download)

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Book Synopsis Book of Proof by : Richard H. Hammack

Download or read book Book of Proof written by Richard H. Hammack and published by . This book was released on 2016-01-01 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.

Introduction to Applied Linear Algebra

Author : Stephen Boyd
Publisher : Cambridge University Press
ISBN 13 : 1316518965
Total Pages : 477 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Introduction to Applied Linear Algebra by : Stephen Boyd

Download or read book Introduction to Applied Linear Algebra written by Stephen Boyd and published by Cambridge University Press. This book was released on 2018-06-07 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

Grounds of Natural Philosophy

Author : Margaret Cavendish
Publisher : Broadview Press
ISBN 13 : 177048731X
Total Pages : 266 pages
Book Rating : 4.7/5 (74 download)

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Book Synopsis Grounds of Natural Philosophy by : Margaret Cavendish

Download or read book Grounds of Natural Philosophy written by Margaret Cavendish and published by Broadview Press. This book was released on 2020-02-28 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edition aims to make Margaret Cavendish’s most mature philosophical work more accessible to students and scholars of the period. Grounds of Natural Philosophy is important not only because it is Cavendish’s final articulation of her metaphysics but also because it succinctly outlines her fundamental views on “the nature of nature”—or the base substance and mechanics of all natural matter—and vividly demonstrates her probabilistic approach to philosophical enquiry. Moreover, Grounds spends considerable time discussing the human body, including the functions of the mind, a topic of growing interest to both historians of philosophy and literary scholars. This Broadview Edition opens to modern readers a vibrant, unique, and provocative voice of the past that challenges our standard view of seventeenth-century English philosophy.

Unified Logic

Author : Jesse Bollinger
Publisher :
ISBN 13 : 9781732536616
Total Pages : 802 pages
Book Rating : 4.5/5 (366 download)

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Book Synopsis Unified Logic by : Jesse Bollinger

Download or read book Unified Logic written by Jesse Bollinger and published by . This book was released on 2018-07-23 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt:

How to Prove It

Author : Daniel J. Velleman
Publisher : Cambridge University Press
ISBN 13 : 0521861241
Total Pages : 401 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis How to Prove It by : Daniel J. Velleman

Download or read book How to Prove It written by Daniel J. Velleman and published by Cambridge University Press. This book was released on 2006-01-16 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.

Divided by Faith

Author : Michael O. Emerson
Publisher : Oxford University Press, USA
ISBN 13 : 9780195147070
Total Pages : 228 pages
Book Rating : 4.1/5 (47 download)

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Book Synopsis Divided by Faith by : Michael O. Emerson

Download or read book Divided by Faith written by Michael O. Emerson and published by Oxford University Press, USA. This book was released on 2001 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through a nationwide survey, the authors of this study conclude that US Evangelicals may actually be preserving the racial chasm, not through active racism, but because their theology hinders their ability to recognise systematic injustice.

Stories of Your Life and Others

Author : Ted Chiang
Publisher : Knopf
ISBN 13 : 1931520895
Total Pages : 298 pages
Book Rating : 4.9/5 (315 download)

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Book Synopsis Stories of Your Life and Others by : Ted Chiang

Download or read book Stories of Your Life and Others written by Ted Chiang and published by Knopf. This book was released on 2010-10-26 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the author of Exhalation, an award-winning short story collection that blends "absorbing storytelling with meditations on the universe, being, time and space ... raises questions about the nature of reality and what it is to be human" (The New York Times). Stories of Your Life and Others delivers dual delights of the very, very strange and the heartbreakingly familiar, often presenting characters who must confront sudden change—the inevitable rise of automatons or the appearance of aliens—with some sense of normalcy. With sharp intelligence and humor, Chiang examines what it means to be alive in a world marked by uncertainty, but also by beauty and wonder. An award-winning collection from one of today's most lauded writers, Stories of Your Life and Others is a contemporary classic. Includes “Story of Your Life”—the basis for the major motion picture Arrival

Advanced Calculus (Revised Edition)

Author : Lynn Harold Loomis
Publisher : World Scientific Publishing Company
ISBN 13 : 9814583952
Total Pages : 595 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Advanced Calculus (Revised Edition) by : Lynn Harold Loomis

Download or read book Advanced Calculus (Revised Edition) written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Probability

Author : Joseph K. Blitzstein
Publisher : CRC Press
ISBN 13 : 1466575573
Total Pages : 599 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Introduction to Probability by : Joseph K. Blitzstein

Download or read book Introduction to Probability written by Joseph K. Blitzstein and published by CRC Press. This book was released on 2014-07-24 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developed from celebrated Harvard statistics lectures, Introduction to Probability provides essential language and tools for understanding statistics, randomness, and uncertainty. The book explores a wide variety of applications and examples, ranging from coincidences and paradoxes to Google PageRank and Markov chain Monte Carlo (MCMC). Additional application areas explored include genetics, medicine, computer science, and information theory. The print book version includes a code that provides free access to an eBook version. The authors present the material in an accessible style and motivate concepts using real-world examples. Throughout, they use stories to uncover connections between the fundamental distributions in statistics and conditioning to reduce complicated problems to manageable pieces. The book includes many intuitive explanations, diagrams, and practice problems. Each chapter ends with a section showing how to perform relevant simulations and calculations in R, a free statistical software environment.

Discrete Choice Methods with Simulation

Author : Kenneth Train
Publisher : Cambridge University Press
ISBN 13 : 0521766559
Total Pages : 399 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Discrete Choice Methods with Simulation by : Kenneth Train

Download or read book Discrete Choice Methods with Simulation written by Kenneth Train and published by Cambridge University Press. This book was released on 2009-07-06 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the new generation of discrete choice methods, focusing on the many advances that are made possible by simulation. Researchers use these statistical methods to examine the choices that consumers, households, firms, and other agents make. Each of the major models is covered: logit, generalized extreme value, or GEV (including nested and cross-nested logits), probit, and mixed logit, plus a variety of specifications that build on these basics. Simulation-assisted estimation procedures are investigated and compared, including maximum stimulated likelihood, method of simulated moments, and method of simulated scores. Procedures for drawing from densities are described, including variance reduction techniques such as anithetics and Halton draws. Recent advances in Bayesian procedures are explored, including the use of the Metropolis-Hastings algorithm and its variant Gibbs sampling. The second edition adds chapters on endogeneity and expectation-maximization (EM) algorithms. No other book incorporates all these fields, which have arisen in the past 25 years. The procedures are applicable in many fields, including energy, transportation, environmental studies, health, labor, and marketing.