- Table View
- List View
A Second Course in Topos Quantum Theory
by Cecilia FloriThis advanced course, a sequel to the first volume of this lecture series on topos quantum theory, delves deeper into the theory, addressing further technical aspects and recent advances. These include, but are not limited to, the development of physical quantities and self-adjoint operators; insights into the quantization process; the description of an alternative, covariant version of topos quantum theory; and last but not least, the development of a new concept of spacetime. The book builds on the concepts introduced in the first volume (published as Lect. Notes Phys. 868), which presents the main building blocks of the theory and how it could provide solutions to interpretational problems in quantum theory, such as: What are the main conceptual issues in quantum theory? And how can these issues be solved within a new theoretical framework of quantum theory? These two volumes together provide a complete, basic course on topos quantum theory, offering a set of mathematical tools to readers interested in tackling fundamental issues in quantum theory in general, and in quantum gravity in particular. From the reviews of the first volume: The book is self-contained and can be used as a textbook or self-study manual teaching the usage of category theory and topos theory, in particular in theoretical physics or in investigating the foundations of quantum theory in mathematically rigorous terms. [The] book is a very welcome contribution. Frank Antonsen, Mathematical Reviews, December, 2013
Second Grade Math With Confidence Instructor Guide (Math with Confidence #7)
by Kate SnowA scripted, open-and-go program that will have you teaching math confidently--even if you’ve never taught math before. From popular math educator Kate Snow, this easy-to-use program will give parents the tools they need to teach Math with Confidence—even if they’ve never taught math before. Short, engaging, and hands-on lessons will help children develop a strong understanding of Second Grade math, step by step. reading, writing, and comparing numbers to 1000 adding and subtracting 2- and 3-digit numbers solving addition and subtraction word problems telling time, counting money, and measuring length reading graphs, identifying 2-D and 3-D shapes, and understanding simple fractions Children will develop both strong number sense and a positive attitude toward math with fun activities like Pretend Restaurant, Measurement Tag, and Fraction Bump. All you’ll need are this Instructor Guide, the Student Workbook, and simple household items (like play money, base-ten blocks, a clock, and a ruler) to make math come alive for children. Short, hands-on, and developmentally-appropriate lessons Games and pretend activities make math fun Easy to use, with clear directions and explanatory notes Delightful (and optional) weekly enrichment lessons, with picture book recommendations and real-life math extension activities Memory work and daily review to ensure children retain what they’ve learned and master essential skills
Second Grade Math With Confidence Student Workbook (Math With Confidence Ser.)
by Kate SnowA colorful, engaging workbook to reinforce and practice the skills taught in the Second Grade Math with Confidence Instructor Guide. Simple and straightforward workbook pages give children practice with new concepts and provide daily reviews of previously learned skills. Short, simple pages give children written practice without tiring small hands Daily review helps children retain what they have learned. All answers are provided in the Instructor’s Guide for easy correcting Colorful, whimsical illustrations Age Range: 7-8 Grade Range: Second Grade full-color illustrations on every page.
Second International Handbook of Mathematics Education (Springer International Handbooks of Education #10)
by Alan J. BishopALAN 1. BISHOP The first International Handbook on Mathematics Education was published by Kluwer Academic Publishers in 1996. However, most of the writing for that handbook was done in 1995 and generally reflected the main research and development foci prior to 1994. There were four sections, 36 chapters, and some 150 people contributed to the final volume either as author, reviewer, editor, or critical friend. The task was a monumental one, attempting to cover the major research and practice developments in the international field of mathematics education as it appeared to the contributors in 1995. Inevitably there were certain omissions, some developments were only starting to emerge, and some literatures were only sketchy and speculative. However that Handbook has had to be reprinted three times, so it clearly fulfilled a need and I personally hope that it lived up to what I wrote in its Introduction: The Handbook thus attempts not merely to present a description of the international 'state-of-the-field', but also to offer synthetic and reflective overviews on the different directions being taken by the field, on the gaps existing in our present knowledge, on the current problems being faced, and on the future possibilities for development. (Bishop et aI. , 1996) Since that time there has been even more activity in our field, and now seems a good time to take stock again, to reflect on what has happened since 1995, and to create a second Handbook with the same overall goals.
The Second-Order Adjoint Sensitivity Analysis Methodology (Advances in Applied Mathematics)
by Dan Gabriel CacuciThe Second-Order Adjoint Sensitivity Analysis Methodology generalizes the First-Order Theory presented in the author’s previous books published by CRC Press. This breakthrough has many applications in sensitivity and uncertainty analysis, optimization, data assimilation, model calibration, and reducing uncertainties in model predictions. The book has many illustrative examples that will help readers understand the complexity of the subject and will enable them to apply this methodology to problems in their own fields. Highlights: • Covers a wide range of needs, from graduate students to advanced researchers • Provides a text positioned to be the primary reference for high-order sensitivity and uncertainty analysis • Applies to all fields involving numerical modeling, optimization, quantification of sensitivities in direct and inverse problems in the presence of uncertainties. About the Author: Dan Gabriel Cacuci is a South Carolina SmartState Endowed Chair Professor and the Director of the Center for Nuclear Science and Energy, Department of Mechanical Engineering at the University of South Carolina. He has a Ph.D. in Applied Physics, Mechanical and Nuclear Engineering from Columbia University. He is also the recipient of many awards including four honorary doctorates, the Ernest Orlando Lawrence Memorial award from the U.S. Dept. of Energy and the Arthur Holly Compton, Eugene P. Wigner and the Glenn Seaborg Awards from the American Nuclear Society.
Second Order Elliptic Integro-Differential Problems (Chapman & Hall/CRC Research Notes in Mathematics Series)
by null Maria Giovanna Garroni null Jose Luis MenaldiThe Green function has played a key role in the analytical approach that in recent years has led to important developments in the study of stochastic processes with jumps. In this Research Note, the authors-both regarded as leading experts in the field- collect several useful results derived from the construction of the Green function and its estim
Second-Order Variational Analysis in Optimization, Variational Stability, and Control: Theory, Algorithms, Applications (Springer Series in Operations Research and Financial Engineering)
by Boris S. MordukhovichThis fundamental work is a sequel to monographs by the same author: Variational Analysis and Applications (2018) and the two Grundlehren volumes Variational Analysis and Generalized Differentiation: I Basic Theory, II Applications (2006). This present book is the first entirely devoted to second-order variational analysis with numerical algorithms and applications to practical models. It covers a wide range of topics including theoretical, numerical, and implementations that will interest researchers in analysis, applied mathematics, mathematical economics, engineering, and optimization. Inclusion of a variety of exercises and commentaries in each chapter allows the book to be used effectively in a course on this subject. This area has been well recognized as an important and rapidly developing area of nonlinear analysis and optimization with numerous applications. Consisting of 9 interrelated chapters, the book is self-contained with the inclusion of some preliminaries in Chapter 1.Results presented are useful tools for characterizations of fundamental notions of variational stability of solutions for diverse classes of problems in optimization and optimal control, the study of variational convexity of extended-real-valued functions and their specifications and variational sufficiency in optimization. Explicit calculations and important applications of second-order subdifferentials associated with the achieved characterizations of variational stability and related concepts, to the design and justification of second-order numerical algorithms for solving various classes of optimization problems, nonsmooth equations, and subgradient systems, are included. Generalized Newtonian algorithms are presented that show local and global convergence with linear, superlinear, and quadratic convergence rates. Algorithms are implemented to address interesting practical problems from the fields of machine learning, statistics, imaging, and other areas.
Secondary Instabilities of Görtler Vortices in High-Speed Boundary Layers
by Jie RenThis thesis first reveals the mechanism of Görtler instabilities and then demonstrates how transitions at hypersonic flows can be effectively controlled (either promoted or suppressed) with Görtler or Klebanoff modes. It focuses on understanding and controlling flow transitions from mild laminar to fully turbulent flows at high speeds—aspects that have become crucial at the dawn of an incredible era, in which hypersonic vehicles are becoming available. Once this occurs, it will be possible to travel from Beijing to Los Angeles within just 2 hours, and we will all live in a genuinely global village—and not just virtually, but physically.Görtler instabilities have often been used to promote flow transition in hypersonic vehicles. However, how Görtler instabilities are excited and how they evolve in hypersonic flows are questions that have yet to be answered.
Secondary Stem Educational Reform
by Carla C. JohnsonFederal and state funding agencies have invested billions of dollars into secondary STEM (Science, Technology, Education, Mathematics) educational reform over the past decade. This volume addresses the interplay of external and internal variables associated with school reform and how this dynamic has impacted many efforts.
The Secret Agent Training Manual: How to Make and Break Top Secret Messages: A Companion to the Secret Agents Jack and Max Stalwart Series (The Secret Agents Jack and Max Stalwart Nonfiction Series #1)
by Elizabeth Singer Hunt Brian WilliamsonWant to learn how to make and break TOP SECRET messages like a real spy? If so, this book is for you! In this exciting, award-winning nonfiction companion to the debut series SECRET AGENTS JACK AND MAX STALWART, readers ages 8 - 12 years old can learn behind-the-scenes codebreaking and spy skills. Inside are more than 80 pages of tips, tricks, and practice exercises for writing and deciphering cryptic communications. You'll learn how to make your own invisible ink, hide your messages, create unbreakable ciphers, and craft your own decoder gadgets. You can use this manual to learn how to exchange top secret notes with friends. Expanded and republished!
The Secret Formula: How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation
by Fabio ToscanoThe legendary Renaissance math duel that ushered in the modern age of algebraThe Secret Formula tells the story of two Renaissance mathematicians whose jealousies, intrigues, and contentious debates led to the discovery of a formula for the solution of the cubic equation. Niccolò Tartaglia was a talented and ambitious teacher who possessed a secret formula—the key to unlocking a seemingly unsolvable, two-thousand-year-old mathematical problem. He wrote it down in the form of a poem to prevent other mathematicians from stealing it. Gerolamo Cardano was a physician, gifted scholar, and notorious gambler who would not hesitate to use flattery and even trickery to learn Tartaglia's secret.Set against the backdrop of sixteenth-century Italy, The Secret Formula provides new and compelling insights into the peculiarities of Renaissance mathematics while bringing a turbulent and culturally vibrant age to life. It was an era when mathematicians challenged each other in intellectual duels held outdoors before enthusiastic crowds. Success not only enhanced the winner's reputation, but could result in prize money and professional acclaim. After hearing of Tartaglia's spectacular victory in one such contest in Venice, Cardano invited him to Milan, determined to obtain his secret by whatever means necessary. Cardano's intrigues paid off. In 1545, he was the first to publish a general solution of the cubic equation. Tartaglia, eager to take his revenge by establishing his superiority as the most brilliant mathematician of the age, challenged Cardano to the ultimate mathematical duel.A lively account of genius, betrayal, and all-too-human failings, The Secret Formula reveals the epic rivalry behind one of the fundamental ideas of modern algebra.
Secret History: The Story of Cryptology (Chapman & Hall/CRC Cryptography and Network Security Series #76)
by Craig BauerThe first edition of this award-winning book attracted a wide audience. This second edition is both a joy to read and a useful classroom tool. Unlike traditional textbooks, it requires no mathematical prerequisites and can be read around the mathematics presented. If used as a textbook, the mathematics can be prioritized, with a book both students and instructors will enjoy reading. Secret History: The Story of Cryptology, Second Edition incorporates new material concerning various eras in the long history of cryptology. Much has happened concerning the political aspects of cryptology since the first edition appeared. The still unfolding story is updated here. The first edition of this book contained chapters devoted to the cracking of German and Japanese systems during World War II. Now the other side of this cipher war is also told, that is, how the United States was able to come up with systems that were never broken. The text is in two parts. Part I presents classic cryptology from ancient times through World War II. Part II examines modern computer cryptology. With numerous real-world examples and extensive references, the author skillfully balances the history with mathematical details, providing readers with a sound foundation in this dynamic field. FEATURES Presents a chronological development of key concepts Includes the Vigenère cipher, the one-time pad, transposition ciphers, Jefferson’s wheel cipher, Playfair cipher, ADFGX, matrix encryption, Enigma, Purple, and other classic methods Looks at the work of Claude Shannon, the origin of the National Security Agency, elliptic curve cryptography, the Data Encryption Standard, the Advanced Encryption Standard, public-key cryptography, and many other topics New chapters detail SIGABA and SIGSALY, successful systems used during World War II for text and speech, respectively Includes quantum cryptography and the impact of quantum computers
Secret History: The Story of Cryptology (Discrete Mathematics and Its Applications)
by null Craig P. BauerWinner of an Outstanding Academic Title Award from CHOICE MagazineMost available cryptology books primarily focus on either mathematics or history. Breaking this mold, Secret History: The Story of Cryptology gives a thorough yet accessible treatment of both the mathematics and history of cryptology. Requiring minimal mathematical prerequisites, the
The Secret Life of Equations: The 50 Greatest Equations and How They Work
by Richard CochraneDiscover the 50 equations that have led to incredible discoveries, ground-breaking technology and have shaped our understanding of the world.From much heralded classics, like Zeno's Dichotomy and Pythagoras's Theorem, to The Schrödinger Wave Equation and Google PageRank, each equation is broken down and explained in a unique, illustrated way, so that you understand what it's about; what it's good for; its history, detail and related equations.Behind every important scientific discovery there is an equation. They are far from baffling, and now you too can understand their power and beauty!
The Secret Lives of Numbers: A Hidden History of Math's Unsung Trailblazers
by Kate Kitagawa Timothy RevellShortlisted for the 2024 British Academy Book PrizeA new history of mathematics focusing on the marginalized voices who propelled the discipline, spanning six continents and thousands of years of untold stories."A book to make you love math." —Financial TimesMathematics shapes almost everything we do. But despite its reputation as the study of fundamental truths, the stories we have been told about it are wrong—warped like the sixteenth-century map that enlarged Europe at the expense of Africa, Asia and the Americas. In The Secret Lives of Numbers, renowned math historian Kate Kitagawa and journalist Timothy Revell make the case that the history of math is infinitely deeper, broader, and richer than the narrative we think we know.Our story takes us from Hypatia, the first great female mathematician, whose ideas revolutionized geometry and who was killed for them—to Karen Uhlenbeck, the first woman to win the Abel Prize, “math’s Nobel.” Along the way we travel the globe to meet the brilliant Arabic scholars of the “House of Wisdom,” a math temple whose destruction in the Siege of Baghdad in the thirteenth century was a loss arguably on par with that of the Library of Alexandria; Madhava of Sangamagrama, the fourteenth-century Indian genius who uncovered the central tenets of calculus 300 years before Isaac Newton was born; and the Black mathematicians of the Civil Rights era, who played a significant role in dismantling early data-based methods of racial discrimination.Covering thousands of years, six continents, and just about every mathematical discipline, The Secret Lives of Numbers is an immensely compelling narrative history.
The Secret Lives of Numbers: The Curious Truth Behind Everyday Digits
by Michael MillarThis is a book for the observant and the curious. A book for people who take in their surroundings and wonder at the smallest detail: why? Above all, it's a book about numbers - those that surround us every day, and the intriguing stories behind them. From the 7-day week to 24-carat gold, Chanel No. 5 to five-star luxury, The Secret Lives of Numbers figures out the mysterious background to the numbers we encounter on a daily basis. Revealing the facts behind those figures, author Michael Millar outlines where to spot each digit, what it means and how it came to be in meticulously researched and entertaining entries, creating an absorbing and intelligent book that's perfect for any numbers fan. It's as easy as 1, 2, 3...Entries include: sports shirt numbers, firearms calibres, TV ratings, football rankings, poker scores, suncream factors, A4 paper, and more.
The Secret Science of Ciphers
by Nick D'AltoEven if you aren't a spy, you probably already use cryptography, or the science of secret communication, every day.
The Secret Science of Sports: The Math, Physics, and Mechanical Engineering Behind Every Grand Slam, Triple Axel, and Penalty Kick
by Jennifer SwansonWhy does a football spiral? How do some athletes jump so high? The answer is science! The Secret Science of Sports helps kids better understand concepts of science, technology, engineering, and math through the sports they love to play and watch. Every sport -- from baseball to basketball, to football and soccer, to wrestling, tennis, and lacrosse -- involves a bit of science, technology, engineering, and math. You can't throw a ball without Newton's Law of Motion, and you can't calculate a player's stats without math. And every type of sports equipment -- a helmet, cleats, shoulder or knee pads -- were designed with the latest engineering and technology. The Secret Science of Sports breaks down normally difficult STEM concepts like forces of motion, gravity, algebra, and even neuroscience, in a language kids can -- and will want to -- understand. Divided into sections like chemistry, biology, physics, technology, and more, this handy guide uses examples from sports like soccer, baseball, softball, football, hockey, lacrosse, tennis, and others to explain important STEM concepts for kids ages 8 to 12. They'll learn how to use math to calculate a batter's average, why a tennis racket is shaped the way it is, how biology affects athletic performance, the aerodynamics behind competitive swimsuits, and much more. With dozens of original, captivating illustrations to engage young readers, kids will have fun while learning about key STEM ideas that will prepare them for years of schooling to come.
The Secret World of Flexagons: Fascinating Folded Paper Puzzles (AK Peters/CRC Recreational Mathematics Series)
by null Scott Sherman null Yossi Elran null Ann SchwartzThe hexaflexagon is a folded paper strip of colored triangles that has long delighted people with how it “magically” changes its appearance when “flexed”. This hands-on, comprehensive book goes beyond the hexaflexagon, the standard version of this folded puzzle, exponentially expanding the barely explored field of flexagons as it brings new options and fresh insights to light.● Learn over a dozen different flexes, and make dozens of different flexagons with the aid of step-by-step illustrated directions and templates to copy and print.● Delve into the internal structure of flexagons and discover a universal way to describe and predict their behavior.● Learn how to create your own custom flexagons with a special computer program.● Understand how flexagons are connected to group theory, computer science, and topology.● Have fun decorating flexagons and make flexagon books, puzzles, pop-ups, mazes, and more.Written in a clear, easy-to-understand, and conversational style and enhanced with challenges and tips to broaden your flexagon skills and spark creativity, The Secret World of Flexagons: Fascinating Folded Paper Puzzles is a must for flexagon enthusiasts, teachers, students, libraries, mathematicians, and everyone who loves to solve a good puzzle.
Secrets of Creation: The Mystery Of The Prime Numbers (Urbanomic / Redactions)
by Conrad Shawcross Robin Mackay Matthew WatkinsAn artist and a mathematician debate, find common ground, and jointly create an assemblage that is neither (or both) an artwork and a mathematical model.A week-long residency project brought together artist Conrad Shawcross and mathematician Matthew Watkins to reflect on the ways in which artists use (or misuse) scientific and mathematical concepts. Secrets of Creation documents this fascinating meeting of worlds, presenting both the week's discussions and debates, and the project upon which Shawcross and Watkins subsequently embarked.Navigating a route that tacked between formalism and natural language, experts and laymen, quantity and quality, poetics and mechanics, Shawcross and Watkins gradually forged a shared discourse in which the concerns of the artist and those of the mathematician could find a common ground. The project ended with their joint creation of an assemblage that was neither (or both) an artwork and a mathematical model.
Secrets of Mental Math: The Mathemagician's Guide to Lightning Calculation and Amazing Math Tricks, 1st Edition
by Arthur Benjamin Michael ShermerArthur Benjamin shares his techniques for lightning-quick calculations and amazing number tricks. This book will teach you to do math in your head faster than you ever thought possible, dramatically improve your memory for numbers, and--maybe for the first time--make mathematics fun.
Secrets of Mental Math: The Mathemagician's Guide to Lightning Calculation and Amazing Math Tricks
by Michael Shermer Arthur BenjaminThese simple math secrets and tricks will forever change how you look at the world of numbers. Secrets of Mental Math will have you thinking like a math genius in no time. Get ready to amaze your friends--and yourself--with incredible calculations you never thought you could master, as renowned "mathemagician" Arthur Benjamin shares his techniques for lightning-quick calculations and amazing number tricks. This book will teach you to do math in your head faster than you ever thought possible, dramatically improve your memory for numbers, and--maybe for the first time--make mathematics fun. <p><p> Yes, even you can learn to do seemingly complex equations in your head; all you need to learn are a few tricks. You'll be able to quickly multiply and divide triple digits, compute with fractions, and determine squares, cubes, and roots without blinking an eye. No matter what your age or current math ability, Secrets of Mental Math will allow you to perform fantastic feats of the mind effortlessly. This is the math they never taught you in school.<p><p> <i>Advisory: Bookshare has learned that this book offers only partial accessibility. We have kept it in the collection because it is useful for some of our members. To explore further access options with us, please contact us through the Book Quality link on the right sidebar. Benetech is actively working on projects to improve accessibility issues such as these.</i> <P> <b>There is another version of the book with mathematical expressions not rendered as images at https://www.bookshare.org/browse/book/446779</b>
Secrets of the Moon: Understanding and Analysing the Lunar Surface
by Gilbert FielderSecrets of the Moon: Understanding and Analysing the Lunar Surface provides a unique account of the origin of key features on the lunar surface. Containing historical accounts and the latest observations from the field, in addition to exciting data from the Apollo manned missions, it describes the development of our current understanding of our Moon. It also explores the fracturing of the Moon, a topic not explored in other literature in the area, and contains a statistical treatment of the smaller craters of the Moon, as well as a geological treatment of the larger craters. This moderately technical account is designed to clarify and update the general thinking on the nature and origin of the most important lunar surface features for both undergraduate and research students. It may also be read by the professional scientist, especially the astronomer and the geologist who has found little time to study the Moon’s topography, in addition to the lunar amateur astronomer and even the dedicated layman with a keen interest in lunar science. The book excludes nearly all mathematical symbols in order to remain accessible to those without a formal education in the area. Key Features: Authored by an expert in the area Presents a comprehensive account of the lunar surface, from historical observations to the NASA Apollo manned missions and the latest observations and data in the field Includes a statistical and geological treatment of the craters Dr. Gilbert Fielder is Reader Emeritus at Lancaster University, United Kingdom. He performed extended teaching at Lancaster University on Planetary Science and introduced a new degree course on Remote Sensing. Prior to this, he was Principal Investigator in NASA’s Heat Capacity Mapping Programme, while continuing to head the Lunar and Planetary Unit at Lancaster until retirement. Dr. Fielder has authored several books, and presented many BBC and ITA television news programmes, as well as popular programmes with Sir Patrick Moore (on the BBC’s "The Sky at Night") and, on the occasion of the first landing of astronauts on the Moon, with David Frost as Chairman in a special programme.
The Secrets of Triangles
by Alfred S. PosamentierRequiring no more than a knowledge of high school mathematics and written in clear and accessible language, this book will give all readers a new insight into some of the most enjoyable and fascinating aspects of geometry. Everyone knows what a triangle is, yet very few people appreciate that the common three-sided figure holds many intriguing "secrets." For example, if a circle is inscribed in any random triangle and then three lines are drawn from the three points of tangency to the opposite vertices of the triangle, these lines will always meet at a common point-no matter what the shape of the triangle. This and many more interesting geometrical properties are revealed in this entertaining and illuminating book about geometry. Flying in the face of the common impression that mathematics is usually dry and intimidating, this book proves that this sometimes-daunting, abstract discipline can be both fun and intellectually stimulating. The authors, two veteran math educators, explore the multitude of surprising relationships connected with triangles and show some clever approaches to constructing triangles using a straightedge and a compass. Readers will learn how they can improve their problem-solving skills by performing these triangle constructions. The lines, points, and circles related to triangles harbor countless surprising relationships that are presented here in a very engaging fashion.
Secular Cycles
by Peter Turchin Sergey A. NefedovMany historical processes exhibit recurrent patterns of change. Century-long periods of population expansion come before long periods of stagnation and decline; the dynamics of prices mirror population oscillations; and states go through strong expansionist phases followed by periods of state failure, endemic sociopolitical instability, and territorial loss. Peter Turchin and Sergey Nefedov explore the dynamics and causal connections between such demographic, economic, and political variables in agrarian societies and offer detailed explanations for these long-term oscillations--what the authors call secular cycles. Secular Cycles elaborates and expands upon the demographic-structural theory first advanced by Jack Goldstone, which provides an explanation of long-term oscillations. This book tests that theory's specific and quantitative predictions by tracing the dynamics of population numbers, prices and real wages, elite numbers and incomes, state finances, and sociopolitical instability. Turchin and Nefedov study societies in England, France, and Russia during the medieval and early modern periods, and look back at the Roman Republic and Empire. Incorporating theoretical and quantitative history, the authors examine a specific model of historical change and, more generally, investigate the utility of the dynamical systems approach in historical applications. An indispensable and groundbreaking resource for a wide variety of social scientists, Secular Cycles will interest practitioners of economic history, historical sociology, complexity studies, and demography.