The Crown of Thorns


Publisher:Garland Science


Total Pages:400



Books Description:

A Top 25 CHOICE 2016 Title, and recipient of the CHOICE Outstanding Academic Title (OAT) Award. How much energy is released in ATP hydrolysis? How many mRNAs are in a cell? How genetically similar are two random people? What is faster, transcription or translation?Cell Biology by the Numbers explores these questions and dozens of others provid

Related Titles:

The Real Numbers

Author:John Stillwell

Publisher:Springer Science & Business Media


Total Pages:244



Books Description:

While most texts on real analysis are content to assume the real numbers, or to treat them only briefly, this text makes a serious study of the real number system and the issues it brings to light. Analysis needs the real numbers to model the line, and to support the concepts of continuity and measure. But these seemingly simple requirements lead to deep issues of set theory—uncountability, the axiom of choice, and large cardinals. In fact, virtually all the concepts of infinite set theory are needed for a proper understanding of the real numbers, and hence of analysis itself. By focusing on the set-theoretic aspects of analysis, this text makes the best of two worlds: it combines a down-to-earth introduction to set theory with an exposition of the essence of analysis—the study of infinite processes on the real numbers. It is intended for senior undergraduates, but it will also be attractive to graduate students and professional mathematicians who, until now, have been content to "assume" the real numbers. Its prerequisites are calculus and basic mathematics. Mathematical history is woven into the text, explaining how the concepts of real number and infinity developed to meet the needs of analysis from ancient times to the late twentieth century. This rich presentation of history, along with a background of proofs, examples, exercises, and explanatory remarks, will help motivate the reader. The material covered includes classic topics from both set theory and real analysis courses, such as countable and uncountable sets, countable ordinals, the continuum problem, the Cantor–Schröder–Bernstein theorem, continuous functions, uniform convergence, Zorn's lemma, Borel sets, Baire functions, Lebesgue measure, and Riemann integrable functions.


Author:Heinz-Dieter Ebbinghaus,Hans Hermes,Friedrich Hirzebruch,Max Koecher,Klaus Mainzer,Jürgen Neukirch,Alexander Prestel,Reinhold Remmert

Publisher:Springer Science & Business Media


Total Pages:398



Books Description:

This book is about all kinds of numbers, from rationals to octonians, reals to infinitesimals. It is a story about a major thread of mathematics over thousands of years, and it answers everything from why Hamilton was obsessed with quaternions to what the prospect was for quaternionic analysis in the 19th century. It glimpses the mystery surrounding imaginary numbers in the 17th century and views some major developments of the 20th century.

Laws of Small Numbers: Extremes and Rare Events

Author:Michael Falk,Jürg Hüsler,Rolf-Dieter Reiss

Publisher:Springer Science & Business Media


Total Pages:509



Books Description:

Since the publication of the first edition of this seminar book in 1994, the theory and applications of extremes and rare events have enjoyed an enormous and still increasing interest. The intention of the book is to give a mathematically oriented development of the theory of rare events underlying various applications. This characteristic of the book was strengthened in the second edition by incorporating various new results. In this third edition, the dramatic change of focus of extreme value theory has been taken into account: from concentrating on maxima of observations it has shifted to large observations, defined as exceedances over high thresholds. One emphasis of the present third edition lies on multivariate generalized Pareto distributions, their representations, properties such as their peaks-over-threshold stability, simulation, testing and estimation. Reviews of the 2nd edition: "In brief, it is clear that this will surely be a valuable resource for anyone involved in, or seeking to master, the more mathematical features of this field." David Stirzaker, Bulletin of the London Mathematical Society "Laws of Small Numbers can be highly recommended to everyone who is looking for a smooth introduction to Poisson approximations in EVT and other fields of probability theory and statistics. In particular, it offers an interesting view on multivariate EVT and on EVT for non-iid observations, which is not presented in a similar way in any other textbook." Holger Drees, Metrika

Solar System

Author:Steve Jenkins

Publisher:Houghton Mifflin Harcourt


Total Pages:40



Books Description:

By the Numbers infographic readers, accessible nonfiction packed with full-color cut-paper illustrations from Caldecott honor–winning Steve Jenkins. Solar Systems focuses on ever-astonishing outer space. Through infographics and illustrations readers will learn about the unfathomably huge and fascinating topic of solar systems. Explore the galaxy that surrounds our planet through astounding numbers, facts, and figures. With Steve Jenkins’s signature art style, his By the Numbers reader series explores the most fascinating fields of nature and natural science. These readers are fact-packed and run the gamut from dinosaurs to dwarf planets, detailing the astonishing phenomena that make our universe such an incredible place to live and learn. Each title uses engaging graphics and visual literacy to convey scientific facts and concepts, making them accessible for all kinds of new readers.

Enchantress of Numbers

Author:Jennifer Chiaverini



Total Pages:448



Books Description:

New York Times bestselling author Jennifer Chiaverini illuminates the life of Ada Byron King, Countess of Lovelace—Lord Byron’s daughter and the world’s first computer programmer. The only legitimate child of Lord Byron, the most brilliant, revered, and scandalous of the Romantic poets, Ada was destined for fame long before her birth. But her mathematician mother, estranged from Ada's infamous and destructively passionate father, is determined to save her only child from her perilous Byron heritage. Banishing fairy tales and make-believe from the nursery, Ada’s mother provides her daughter with a rigorous education grounded in mathematics and science. Any troubling spark of imagination—or worse yet, passion or poetry—is promptly extinguished. Or so her mother believes. When Ada is introduced into London society as a highly eligible young heiress, she at last discovers the intellectual and social circles she has craved all her life. Little does she realize how her exciting new friendship with Charles Babbage—the brilliant, charming, and occasionally curmudgeonly inventor of an extraordinary machine, the Difference Engine—will define her destiny. Enchantress of Numbers unveils the passions, dreams, and insatiable thirst for knowledge of a largely unheralded pioneer in computing—a young woman who stepped out of her father’s shadow to achieve her own laurels and champion the new technology that would shape the future.

The Awakening of Numbers

Author:Mitchell Freeman

Publisher:Dorrance Publishing


Total Pages:138



Books Description:

The Awakening of Numbers By: Mitchell E. Freeman All numbers are a result of human imagination, and all numbers are not imagined the same way. The Awakening of Numbers contains examples of some of the ways numbers are imagined and some methods of utilization of the imagined numbers. Readers can take away the realization that the numbers humans use are a result of converting an imaginary concept into a written reality.

Making up Numbers: A History of Invention in Mathematics

Author:Ekkehard Kopp

Publisher:Open Book Publishers


Total Pages:280



Books Description:

Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.


Author:R.I.C.Publications Staff

Publisher:R.I.C. Publications


Total Pages:48



Books Description:

Beginning maths: lower shapes (RIC061), lower numbers (RIC062), lower counting, combining and separating (RIC063)

The Mysterious Numbers of the Hebrew Kings

Author:Edwin R. Thiele

Publisher:Kregel Academic


Total Pages:253



Books Description:

(New revised edition) Considered the classic and comprehensive work in reckoning the accession of kings, calendars, and coregencies based upon the Old Testament text and other extra-biblical sources.


Author:Ronald B. Allen



Total Pages:464



Books Description:

Continuing a Gold Medallion Award-winning legacy, this completely revised edition of The Expositor’s Bible Commentary series puts world-class biblical scholarship in your hands. Based on the original twelve-volume set that has become a staple in college and seminary libraries and pastors’ studies worldwide, this new thirteen-volume edition marshals the most current evangelical scholarship and resources. The thoroughly revised features consist of: • Comprehensive introductions • Short and precise bibliographies • Detailed outlines • Insightful expositions of passages and verses • Overviews of sections of Scripture to illuminate the big picture • Occasional reflections to give more detail on important issues • Notes on textual questions and special problems, placed close to the texts in question • Transliterations and translations of Hebrew and Greek words, enabling readers to understand even the more technical notes • A balanced and respectful approach toward marked differences of opinion


Author:OnBoard Lessons

Publisher:Rainbow Horizons Publishing


Total Pages:51



Books Description:

Numbers Skip Counting • Skip count by 2’s, 5’s, and 10’s up to 100 Compare and Order Numbers 1 • Compare and order numbers using a number line. • Compare numbers using less than, grater than, and equal to symbols Compare and Order Numbers 2 • Comparing numbers using symbols. • Write a four digit number in words and locate it on a number line Odd and Even Numbers • Identify odd and even numbers and determine whether a set of objets contains an odd or even number of objects • Sort a given set of numbers not even and odd Ordinal Numbers • Concepts of ordinal and cardinal numbers • Identify ordinal position to the tenth Place Value 1 • Determine the value of a digit to hundreds • Used 10 base blocks to model Place Value 2 • Determine the value of a digit to thousands

A Dictionary of Real Numbers

Author:Jonathan Borwein

Publisher:Springer Science & Business Media


Total Pages:434



Books Description:

How do we recognize that the number . 93371663 . . . is actually 2 IoglQ(e + 7r)/2 ? Gauss observed that the number 1. 85407467 . . . is (essentially) a rational value of an elliptic integral-an observation that was critical in the development of nineteenth century analysis. How do we decide that such a number is actually a special value of a familiar function without the tools Gauss had at his disposal, which were, presumably, phenomenal insight and a prodigious memory? Part of the answer, we hope, lies in this volume. This book is structured like a reverse telephone book, or more accurately, like a reverse handbook of special function values. It is a list of just over 100,000 eight-digit real numbers in the interval [0,1) that arise as the first eight digits of special values of familiar functions. It is designed for people, like ourselves, who encounter various numbers computationally and want to know if these numbers have some simple form. This is not a particularly well-defined endeavor-every eight-digit number is rational and this is not interesting. However, the chances of an eight digit number agreeing with a small rational, say with numerator and denominator less than twenty-five, is small. Thus the list is comprised primarily of special function evaluations at various algebraic and simple transcendental values. The exact numbers included are described below. Each entry consists of the first eight digits after the decimal point of the number in question.

Those Fascinating Numbers

Author:Jean-Marie De Koninck

Publisher:American Mathematical Soc.


Total Pages:426



Books Description:

Who would have thought that listing the positive integers along with their most remarkable properties could end up being such an engaging and stimulating adventure? The author uses this approach to explore elementary and advanced topics in classical number theory. A large variety of numbers are contemplated: Fermat numbers, Mersenne primes, powerful numbers, sublime numbers, Wieferich primes, insolite numbers, Sastry numbers, voracious numbers, to name only a few. The author also presents short proofs of miscellaneous results and constantly challenges the reader with a variety of old and new number theory conjectures. This book becomes a platform for exploring new concepts such as the index of composition and the index of isolation of an integer. In addition, the book displays several tables of particular families of numbers, including the list of all 88 narcissistic numbers and the list of the eight known numbers which are not prime powers but which can be written as the sum of the cubes of their prime factors, and in each case with the algorithm used to create them.


Author:John J. Reiss

Publisher:Simon and Schuster


Total Pages:34



Books Description:

Count from 1 to 1,000 in this stunning, graphic first concept board book. From kites, cakes, and candy kisses, young readers can count from 1 to 1,000 using illustrations of fun, familiar objects. With bright, bold artwork, this board book is perfect for parents and little ones to share.

Topics from the Theory of Numbers

Author:Emil Grosswald

Publisher:Springer Science & Business Media


Total Pages:335



Books Description:

Many of the important and creative developments in modern mathematics resulted from attempts to solve questions that originate in number theory. The publication of Emil Grosswald’s classic text presents an illuminating introduction to number theory. Combining the historical developments with the analytical approach, Topics from the Theory of Numbers offers the reader a diverse range of subjects to investigate.

Learn to Write Numbers - Tracing Numbers Workbook for Kindergarten Kids Ages 4-6

Author:Nick Snels


Total Pages:92



Books Description:

When you buy this book you get an electronic version (PDF file) of the interior of this book. This number (0-9) tracing book for preschoolers is perfect for children who want to learn and write numbers and improve their handwriting skills. This number practice book will: Improve number recognition. Develop grip, hand-eye coordination, and fine motor skills. Improve focus and attention to detail. Build confidence. This workbook contains: 1 page per number with step-by-step instructions on how to write the number, from start to finish. 1 page using objects to represent the number. 6 pages per number to practice.

The Story Of Numbers

Author:Mallik Asok Kumar



Total Pages:196



Books Description:

This book is more than a mathematics textbook. It discusses various kinds of numbers and curious interconnections between them. Without getting into hardcore and difficult mathematical technicalities, the book lucidly introduces all kinds of numbers that mathematicians have created. Interesting anecdotes involving great mathematicians and their marvelous creations are included. The reader will get a glimpse of the thought process behind the invention of new mathematics. Starting from natural numbers, the book discusses integers, real numbers, imaginary and complex numbers and some special numbers like quaternions, dual numbers and p-adic numbers. Real numbers include rational, irrational and transcendental numbers. Iterations on real numbers are shown to throw up some unexpected behavior, which has given rise to the new science of "Chaos". Special numbers like e, pi, golden ratio, Euler's constant, Gauss's constant, amongst others, are discussed in great detail. The origin of imaginary numbers and the use of complex numbers constitute the next topic. It is shown why modern mathematics cannot even be imagined without imaginary numbers. Iterations on complex numbers are shown to generate a new mathematical object called 'Fractal', which is ubiquitous in nature. Finally, some very special numbers, not mentioned in the usual textbooks, and their applications, are introduced at an elementary level. The level of mathematics discussed in this book is easily accessible to young adults interested in mathematics, high school students, and adults having some interest in basic mathematics. The book concentrates more on the story than on rigorous mathematics.

My Second Book of Numbers

Author:Madhu Singh Sirohi

Publisher:Vikas Publishing House


Total Pages:N.A



Books Description:

This series is a complete pre-school kit of 9 books packaged attractively in three separate sets. The books are meant for Nursery and Kindergarten children, ages 3 to 5. Each set has 3 books. These 3 books include: Language Skills Number Skills General Environmental Awareness Together, these books provide a comprehensive introduction to pre-reading, pre-writing and number skills; language development, and cognitive awareness for each level

Lectures on the Geometry of Numbers

Author:Carl Ludwig Siegel

Publisher:Springer Science & Business Media


Total Pages:162



Books Description:

Carl Ludwig Siegel gave a course of lectures on the Geometry of Numbers at New York University during the academic year 1945-46, when there were hardly any books on the subject other than Minkowski's original one. This volume stems from Siegel's requirements of accuracy in detail, both in the text and in the illustrations, but involving no changes in the structure and style of the lectures as originally delivered. This book is an enticing introduction to Minkowski's great work. It also reveals the workings of a remarkable mind, such as Siegel's with its precision and power and aesthetic charm. It is of interest to the aspiring as well as the established mathematician, with its unique blend of arithmetic, algebra, geometry, and analysis, and its easy readability.