Binary Mathematics


Book Description

Welcome to mathematics by using simple symbols. I designed approach of doing mathematics by using simple symbols. I used variety of simple symbols which can include visual, audio, kinesthetic, olfactory, tactile and even musical. Do the problems with simple symbols and enjoy the new approach of doing mathematics. Try it and see if it is helping you.




Binary Numbers


Book Description

Introduces the principle and uses of binary numbers.




Understanding Binary Numbers


Book Description

This book is directed toward readers seeking a concise introduction to binary numbers with an inclination toward understanding computer systems. The material presented can be used as a supplement for courses relevant to computer science and computer engineering anywhere from the high school level up to the college level. Several in-chapter and end-of-chapter exercises are included in order to ensure the interested reader is able to practice and fully internalize the topics presented. Depending upon the level of the reader and the rate at which the material is covered, the book topics can be mastered within a period of two to six weeks.




Theory of Relations


Book Description

The first part of this book concerns the present state of the theory of chains (= total or linear orderings), in connection with some refinements of Ramsey's theorem, due to Galvin and Nash-Williams. This leads to the fundamental Laver's embeddability theorem for scattered chains, using Nash-Williams' better quasi-orderings, barriers and forerunning.The second part (chapters 9 to 12) extends to general relations the main notions and results from order-type theory. An important connection appears with permutation theory (Cameron, Pouzet, Livingstone and Wagner) and with logics (existence criterion of Pouzet-Vaught for saturated relations). The notion of bound of a relation (due to the author) leads to important calculus of thresholds by Frasnay, Hodges, Lachlan and Shelah. The redaction systematically goes back to set-theoretic axioms and precise definitions (such as Tarski's definition for finite sets), so that for each statement it is mentioned either that ZF axioms suffice, or what other axioms are needed (choice, continuum, dependent choice, ultrafilter axiom, etc.).




The Complete Idiot's Guide to the I Ching


Book Description

A guide to the ancient Chinese oracle provides a modern interpretation of the sixty-four hexagrams and includes step-by-step instructions for casting using the three-coin and yarrow stalk methods.




The Universal Book of Mathematics


Book Description

Praise for David Darling The Universal Book of Astronomy "A first-rate resource for readers and students of popular astronomy and general science. . . . Highly recommended." -Library Journal "A comprehensive survey and . . . a rare treat." -Focus The Complete Book of Spaceflight "Darling's content and presentation will have any reader moving from entry to entry." -The Observatory magazine Life Everywhere "This remarkable book exemplifies the best of today's popular science writing: it is lucid, informative, and thoroughly enjoyable." -Science Books & Films "An enthralling introduction to the new science of astrobiology." -Lynn Margulis Equations of Eternity "One of the clearest and most eloquent expositions of the quantum conundrum and its philosophical and metaphysical implications that I have read recently." -The New York Times Deep Time "A wonderful book. The perfect overview of the universe." -Larry Niven




Mathematics for Physical Chemistry


Book Description

Mathematics for Physical Chemistry is the ideal supplementary text for practicing chemists and students who want to sharpen their mathematics skills while enrolled in general through physical chemistry courses. This book specifically emphasizes the use of mathematics in the context of physical chemistry, as opposed to being simply a mathematics text. This 4e includes new exercises in each chapter that provide practice in a technique immediately after discussion or example and encourage self-study. The early chapters are constructed around a sequence of mathematical topics, with a gradual progression into more advanced material. A final chapter discusses mathematical topics needed in the analysis of experimental data. - Numerous examples and problems interspersed throughout the presentations - Each extensive chapter contains a preview and objectives - Includes topics not found in similar books, such as a review of general algebra and an introduction to group theory - Provides chemistry-specific instruction without the distraction of abstract concepts or theoretical issues in pure mathematics




Liquid Crystals, Laptops and Life


Book Description

Life, Laptops and Liquid Crystals connects the science of one of the icons of the digital age, the laptop computer, with life itself via liquid crystals, the phase of matter essential to both. The book begins with a review of basic chemistry and physics, then goes on to discuss semiconductors, polymers, liquid crystals, and the molecules of life. Applications of these basic concepts to electronic devices, liquid crystal displays, art, and of course the laptop computer, complete the text. Physics, chemistry, materials science, electronics, and biology are all essential to understanding those topics. The necessary concepts in each field are developed with an eye to emphasizing molecules and molecular interactions. Each chapter concludes with review exercise, as well as references and research questions that encourage the reader to explore the topics in more depth.




Leibniz on Binary


Book Description

The first collection of Leibniz’s key writings on the binary system, newly translated, with many previously unpublished in any language. The polymath Gottfried Wilhelm Leibniz (1646–1716) is known for his independent invention of the calculus in 1675. Another major—although less studied—mathematical contribution by Leibniz is his invention of binary arithmetic, the representational basis for today’s digital computing. This book offers the first collection of Leibniz’s most important writings on the binary system, all newly translated by the authors with many previously unpublished in any language. Taken together, these thirty-two texts tell the story of binary as Leibniz conceived it, from his first youthful writings on the subject to the mature development and publication of the binary system. As befits a scholarly edition, Strickland and Lewis have not only returned to Leibniz’s original manuscripts in preparing their translations, but also provided full critical apparatus. In addition to extensive annotations, each text is accompanied by a detailed introductory “headnote” that explains the context and content. Additional mathematical commentaries offer readers deep dives into Leibniz’s mathematical thinking. The texts are prefaced by a lengthy and detailed introductory essay, in which Strickland and Lewis trace Leibniz’s development of binary, place it in its historical context, and chart its posthumous influence, most notably on shaping our own computer age.