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Some Unusual Topics in Quantum Mechanics (SpringerBriefs in Physics)
by Pankaj SharanIn this book, the author addresses selected topics in quantum mechanics that are not usually covered in books, but which are very helpful in developing a student's interest in, and a deeper understanding of the subject. The topics include two different ways of looking at quantum mechanics; three clarifying topics that students often find confusing; one classic theorem never proved in the classroom; and a discussion on whether there can be a non-linear quantum mechanics. The book can be used as supporting material for graduate-level core courses on quantum mechanics.
Some Unusual Topics in Quantum Mechanics (Lecture Notes in Physics #1020)
by Pankaj SharanThis second edition of Some Unusual Topics in Quantum Mechanics builds upon the topics covered in the first, with additional chapters that delve deeper into the mathematical foundations of the subject. New topics include Hilbert spaces and unbounded operators, minimum uncertainty states, path integrals in general coordinates, Fock spaces, second quantization, relativistic particle states, and quantum fields. Historical insights are also included, such as a pre-history of matrix mechanics and Pauli's proof of the H-atom spectrum using O(4) symmetry. Finally, readers are introduced to Bell's inequality and the non-locality in quantum mechanics that is revealed through its violation. These topics are rarely covered in introductory textbooks but are crucial to developing a student's interest and deeper understanding of quantum mechanics. This book serves as valuable supporting material for graduate-level core courses on the subject.
Someday
by Liz HuyckAda dreams of becoming an inventor when she grows up. As she soon discovers, she is already looking for solutions to everyday problems.
Something Doesn't Add Up: Surviving Statistics in a Post-Truth World
by Paul GoodwinSome people fear and mistrust numbers. Others want to use them for everything. After a long career as a statistician, Paul Goodwin has learned the hard way that the ones who want to use them for everything are a very good reason for the rest of us to fear and mistrust them. Something Doesn't Add Up is a tour of the stupidest, self-defeating, self-blinding ways supposedly clever people use maths in everyday life.Wry, witty and humane, Goodwin explains mathematical subtleties so painlessly that you hardly need to think about numbers at all. He demonstrates how statistics that are meant to make life simpler often make it simpler than it actually is, but also reveals some of the ways we can use maths to make better decisions. Along the way we learn about fitness tracking, the history of IQ testing, China's social credit system, EffectiveAltruism, and how someone should have noticed that Harold Shipman was killing his patients years before they actually did. In the right hands, maths is a useful tool. It's just a pity there are so many of the wrong hands about.
Somewhere in the Ocean
by Jennifer Ward T. J. MarshA counting book in rhyme presents various marine animals and their children, from a mother manatee and her little calf one to a mother octopus and her little babies ten. Complete with a glossary, musical score, and numbers hidden in the illustrations.
Sophie Germain: Revolutionary Mathematician (Springer Biographies)
by Dora MusielakThis biography of the mathematician, Sophie Germain, paints a rich portrait of a brilliant and complex woman, the mathematics she developed, her associations with Gauss, Legendre, and other leading researchers, and the tumultuous times in which she lived. Sophie Germain stood right between Gauss and Legendre, and both publicly recognized her scientific efforts. Unlike her female predecessors and contemporaries, Sophie Germain was an impressive mathematician and made lasting contributions to both number theory and the theories of plate vibrations and elasticity. She was able to walk with ease across the bridge between the fields of pure mathematics and engineering physics. Though isolated and snubbed by her peers, Sophie Germain was the first woman to win the prize of mathematics from the French Academy of Sciences. She is the only woman who contributed to the proof of Fermat’s Last Theorem. In this unique biography, Dora Musielak has done the impossible―she has chronicled Sophie Germain’s brilliance through her life and work in mathematics, in a way that is simultaneously informative, comprehensive, and accurate.
Sophie la girafe: Let's Get Counting! (Sophie la Girafe)
by DKIntroducing a new series of eBooks for Sophie la girafe, the much-loved children's toy!Sophie la girafe: Let's Get Counting! introduces babies to the world of numbers and counting with their favorite friend, Sophie la girafe.Filled with bright, playful images of Sophie and her pals, Sophie la girafe: Let's Get Counting! is ideal for encouraging early word and number recognition in young children. Count sweet cupcakes, cherries, ladybugs, and much more with Sophie la girafe in this delightful eBook. Introduce your baby to numbers and help develop their imaginations with Sophie la girafe!
Sophisticated Electromagnetic Forward Scattering Solver via Deep Learning
by Qiang Ren Yinpeng Wang Yongzhong Li Shutong QiThis book investigates in detail the deep learning (DL) techniques in electromagnetic (EM) near-field scattering problems, assessing its potential to replace traditional numerical solvers in real-time forecast scenarios. Studies on EM scattering problems have attracted researchers in various fields, such as antenna design, geophysical exploration and remote sensing. Pursuing a holistic perspective, the book introduces the whole workflow in utilizing the DL framework to solve the scattering problems. To achieve precise approximation, medium-scale data sets are sufficient in training the proposed model. As a result, the fully trained framework can realize three orders of magnitude faster than the conventional FDFD solver. It is worth noting that the 2D and 3D scatterers in the scheme can be either lossless medium or metal, allowing the model to be more applicable. This book is intended for graduate students who are interested in deep learning with computational electromagnetics, professional practitioners working on EM scattering, or other corresponding researchers.
Sorting (Math Counts: Updated Editions)
by Henry PluckroseAn introduction to capacity for the youngest readers!Math Counts series introduces young readers (grades K-3) to early math concepts. Real-world examples and corresponding photos make math concepts easy to grasp.When things are sorted together, they are called a set. Things that make up a set have something in common.
Sound Analysis and Synthesis with R (Use R!)
by Jérôme SueurSound is almost always around us, anywhere, at any time, reaching our ears and stimulating our brains for better or worse. Sound can be the disturbing noise of a drill, a merry little tune sung by a friend, the song of a bird in the morning or a clap of thunder at night. The science of sound, or acoustics, studies all types of sounds and therefore covers a wide range of scientific disciplines, from pure to applied acoustics. Research dealing with acoustics requires a sound to be recorded, analyzed, manipulated and, possibly, changed. This is particularly, but not exclusively, the case in bioacoustics and ecoacoustics, two life sciences disciplines that attempt to understand and to eavesdrop on the sound produced by animals. Sound analysis and synthesis can be challenging for students, researchers and practitioners who have few skills in mathematics or physics. However, deciphering the structure of a sound can be useful in behavioral and ecological research – and also very amusing. This book is dedicated to anyone who wants to practice acoustics but does not know much about sound. Acoustic analysis and synthesis are possible, with little effort, using the free and open-source software R with a few specific packages. Combining a bit of theory, a lot of step-by-step examples and a few cases studies, this book shows beginners and experts alike how to record, read, play, decompose, visualize, parametrize, change, and synthesize sound with R, opening a new way of working in bioacoustics and ecoacoustics but also in other acoustic disciplines.
Sound Scattering on Spherical Objects
by Tom RotherThis book introduces readers to scattering from a practical/numerical point of view. The focus is on basic aspects like single scattering, multiple scattering, and whether inhomogeneous boundary conditions or inhomogeneous scatterers have to be taken into account. The powerful T-matrix approach is explained in detail and used throughout the book, and iterative solution methods are discussed. In addition, the book addresses appropriate criteria for estimating the accuracy of numerical results, as well as their importance for practical applications. Python code is provided with each chapter, and can be freely used and modified by readers. Moreover, numerous scattering results for different configurations are provided for benchmarking purposes. The book will be particularly valuable for those readers who plan to develop their own scattering code, and wish to test the correct numerical implementation of the underlying mathematics.
A Source Book in Mathematics
by David Eugene SmithThis work presents, in English translation, the great discoveries in mathematics from the Renaissance to the end of the nineteenth century. You are able to read the writings of Newton, Leibniz, Pascal, Riemann, Bernoulli, and others, exactly as the world saw them for the first time. Succinct selections from 125 different treatises and articles, most of them unavailable elsewhere in English, offer a vivid, firsthand story of the growth of mathematics.
Sources in The Development of Mathematics
by Ranjan RoyThe discovery of infinite products by Wallis and infinite series by Newton marked the beginning of the modern mathematical era. It allowed Newton to solve the problem of finding areas under curves defined by algebraic equations, an achievement beyond the scope of the earlier methods of Torricelli, Fermat and Pascal. While Newton and his contemporaries, including Leibniz and the Bernoullis, concentrated on mathematical analysis and physics, Euler's prodigious accomplishments demonstrated that series and products could also address problems in algebra, combinatorics and number theory. In this book, Ranjan Roy describes many facets of the discovery and use of infinite series and products as worked out by their originators, including mathematicians from Asia, Europe and America. The text provides context and motivation for these discoveries, with many detailed proofs, offering a valuable perspective on modern mathematics. Mathematicians, mathematics students, physicists and engineers will all read this book with benefit and enjoyment.
South Carolina Performance Coach, Mathematics, [Grade] 6
by Triumph Learning LlcNIMAC-sourced textbook
The South Texas Health Status Review: A Health Disparities Roadmap
by Ian M. Thompson Amelie G. Ramirez Leonel VelaThis book is a roadmap of the exact health disparities that burden the health of South Texas residents, especially Hispanics, compared to the rest of Texas and nation. This type of knowledge has the potential to fuel and motivate researchers and public health leaders to create and shape interventions to reverse those health disparities. Most notably, focus on obesity and diabetes prevention efforts and modifiable risk factors--such as nutrition, reproductive factors and access to health care--has significant potential to reduce the burden of disease in South Texas communities.South Texas, a 38-county region that spans 45,000 square miles along the Texas-Mexico border northward to the area around metropolitan Bexar County (home to San Antonio), is home to 18% of the state's population. Yet South Texas residents, who are 68% Hispanic, struggle with lower educational levels, less income and less access to health care--and, as a result, suffer from a wide variety of health disparities. To study the health status and identify the exact health disparities that exist in the region, researchers from The UT Health Science Center at San Antonio teamed with researchers from the Texas Department of State Health Services to develop the South Texas Health Status Review.The Review team analyzed a variety of the latest county, state and national data to compare South Texas' incidence, prevalence and mortality rates for more than 35 health indicators--from cancers to chronic diseases like diabetes to communicable diseases like HIV/AIDS to maternal health and even environmental health--to the rest of Texas and the nation by age, sex, race/ethnicity and rural/urban location.
Sovereignty Blockchain 1.0: Orderly Internet and Community with a Shared Future for Humanity
by Lian YumingThis book presents a general framework analysis of sovereignty in blockchain based on the concept of blockchain technology, and specifically discusses the three theoretical foundations of sovereignty in blockchain: data sovereignty theory, social trust theory, and smart contract theory. It also explores the evolution of laws concerning data and digital rights, how to build trust mechanisms for digital rights transactions, as well as contract signing and the implementation of digital rights transactions.
Soziale Herkunft und mathematisches Modellieren: Modellierungsprozesse sozial benachteiligter und begünstigter Schüler:innen (Studien zur theoretischen und empirischen Forschung in der Mathematikdidaktik)
by Ilja AySoziale Ungleichheit im Bildungswesen stellt eine wesentliche Herausforderung moderner Gesellschaften dar. Zusammenhänge zwischen der sozialen Herkunft von Schüler:innen und ihrer Mathematikleistung können statistisch vielfach nachgewiesen werden. Ebenso legen zahlreiche Studien nahe, dass das System Schule dazu tendiert, die außerschulischen Handlungslogiken sozial benachteiligter Personen als defizitärer einzustufen. Gerade beim Umgang mit Modellierungsaufgaben, d.h. realitätsnahen und offenen Problemen, können die außerschulischen Logiken von Schüler:innen wirksam werden. Die Bedeutung mathematischen Modellierens für soziale Ungleichheit wird dabei in der Literatur kontrovers diskutiert. Diese qualitativ angelegte Forschungsstudie untersucht auf Grundlage von Bourdieus Konzepten Mechanismen sozialer Ungleichheit beim Modellieren aus einer bildungssoziologischen Perspektive, die die Verfügbarkeit von Ressourcen und die häusliche Sozialisation von Schüler:innen in den Blick nimmt. Diskutiert werden Auffälligkeiten, die sich beim Bearbeiten von Modellierungsaufgaben bei Schüler:innen unterschiedlicher sozialer Herkunft zeigen. Damit soll insgesamt ein Beitrag dazu geleistet werden, Herausforderungen und Potentiale mathematischen Modellierens für einen sozial gerechteren Unterricht zu diskutieren.
Sozialer Raum und Alter(n)
by Anne Van Rießen Christian Bleck Reinhold KnoppDie zunehmende Alterung der Gesellschaft hat in den vergangenen Jahren dazu geführt, dass sozialräumliche Voraussetzungen und Perspektiven älterer Menschen stärker in den Fokus sozialpolitischer, städtebaulicher und wissenschaftlicher Diskurse gerückt sind. In diesem Sammelband werden die Schwerpunktthemen Sozialer Raum und Alter(n) anhand ausgewählter theoretischer Grundlagen und aktueller Forschungsprojekte - unter den Kategorien Zugänge, Verläufe und Übergänge - dargestellt und kritisch diskutiert.
Space and Astrophysical Plasma Simulation: Methods, Algorithms, and Applications
by Jörg BüchnerThis book is a collection of contributions covering the major subjects in numerical simulation of space and astrophysical plasma. It introduces the different approaches and methods to model plasma, the necessary computational codes, and applications in the field. The book is rooted in the previous work Space Plasma Simulation (Springer, 2003) and includes the latest developments. It is divided into three parts and all chapters start with an introduction motivating the topic and its use in research and ends with a discussion of its applications. The chapters of the first part contain tutorials of the different basic approaches needed to perform space plasma simulations. This part is particularly useful for graduate students to master the subject. The second part presents more advanced materials for students and researchers who already work with pre-existing codes but want to implement the recent progresses made in the field. The last part of the book discusses developments in the area for researchers who are actively working on advanced simulation approaches like higher order schemes and artificial intelligence, agent-based technologies for multiscale and multi-dimensional systems, which represent the recent innovative contributions made in space plasma research.
Space Data Management (Studies in Big Data #141)
by Agostino CortesiThe book presents latest results pertaining to challenges faced by researchers in space data management. There are large number of highly important applications that currently rely upon data from satellites and space missions, ranging from weather prediction to monitoring of environmental pollution, climate change, marine traffic, agriculture, and urban planning, etc. The quality and quantity of space data poses new and specific challenges to the scientific community, covering the entire life cycle of space data management and with a need for an interdisciplinary approach. The chapters written by experts discusses impacts of these challenges, and report activities that can stimulate new research.
Space Engineering: Modeling and Optimization with Case Studies (Springer Optimization and Its Applications #114)
by Giorgio Fasano János D. PintérThis book presents a selection of advanced case studies that cover a substantial range of issues and real-world challenges and applications in space engineering. Vital mathematical modeling, optimization methodologies and numerical solution aspects of each application case study are presented in detail, with discussions of a range of advanced model development and solution techniques and tools.Space engineering challenges are discussed in the following contexts: •Advanced Space Vehicle Design•Computation of Optimal Low Thrust Transfers•Indirect Optimization of Spacecraft Trajectories•Resource-Constrained Scheduling,•Packing Problems in Space•Design of Complex Interplanetary Trajectories•Satellite Constellation Image Acquisition•Re-entry Test Vehicle Configuration Selection•Collision Risk Assessment on Perturbed Orbits•Optimal Robust Design of Hybrid Rocket Engines•Nonlinear Regression Analysis in Space Engineering•Regression-Based Sensitivity Analysis and Robust Design•Low-Thrust Multi-Revolution Orbit Transfers•Modeling and Optimization of Balance Layout Problems•Pilot-Induced Oscillations Alleviation•Modeling and Optimization of Hybrid Transfers to Near-Earth Objects•Probabilistic Safety Analysis of the Collision Between Space Debris and Satellite•Flatness-based Low-thrust Trajectory Optimization for Spacecraft Proximity Operations The contributing authors are expert researchers and practitioners in either the space engineering and/or in the applied optimization fields. Researchers and practitioners working in various applied aspects of space engineering will find this book practical and informative. Academics, graduate and post-graduate students in aerospace engineering, applied mathematics, operations research, optimization, and optimal control, will find this book useful.
Space Exploration (Real World Math)
by Jennifer SzymanskiGrab your space suit and get ready to use math to explore space!3 … 2 … 1 … blast off! Space scientists use math every day to explore our universe. Join a real astronomer on an amazing adventure to COUNT the planets, MEASURE the stars, ADD on the space station, and more. Then test your math skills with special You Can Do It challenges.This brand-new series demonstrates how math skills can be applied to high-interest topics and careers in Coding, Building, Tracking Animals, and Space Exploration. The K-2 math concepts include counting 1-100 with basic addition and subtraction, using the power of 10, measuring, and simple geometry. Real world scientists, architects, programmers, and mathematicians model hands-on, from-the-field experiences in a way that will make children excited to use and expand their math skills!
Space-Filling Curves
by Michael BaderThe present book provides an introduction to using space-filling curves (SFC) as tools in scientific computing. Special focus is laid on the representation of SFC and on resulting algorithms. For example, grammar-based techniques are introduced for traversals of Cartesian and octree-type meshes, and arithmetisation of SFC is explained to compute SFC mappings and indexings. The locality properties of SFC are discussed in detail, together with their importance for algorithms. Templates for parallelisation and cache-efficient algorithms are presented to reflect the most important applications of SFC in scientific computing. Special attention is also given to the interplay of adaptive mesh refinement and SFC, including the structured refinement of triangular and tetrahedral grids. For each topic, a short overview is given on the most important publications and recent research activities.
Space Group Representations: Theory, Tables and Applications
by Nikolai B. Melnikov Boris I. ReserThis book is devoted to the construction of space group representations, their tabulation, and illustration of their use. Representation theory of space groups has a wide range of applications in modern physics and chemistry, including studies of electron and phonon spectra, structural and magnetic phase transitions, spectroscopy, neutron scattering, and superconductivity. The book presents a clear and practical method of deducing the matrices of all irreducible representations, including double-valued, and tabulates the matrices of irreducible projective representations for all 32 crystallographic point groups. One obtains the irreducible representations of all 230 space groups by multiplying the matrices presented in these compact and convenient to use tables by easily computed factors. A number of applications to the electronic band structure calculations are illustrated through real-life examples of different crystal structures. The book's content is accessible to both graduate and advanced undergraduate students with elementary knowledge of group theory and is useful to a wide range of experimentalists and theorists in materials and solid-state physics.
Space Information Networks: 7th International Conference, SINC 2023, Wuhan, China, October 12–13, 2023, Revised Selected Papers (Communications in Computer and Information Science #2057)
by Quan YuThis book constitutes revised selected papers from the thoroughly refereed proceedings of the 7th International Conference on Space Information Network, SINC 2023, held in Wuhan, China, during October 12–13, 2023. The 8 full papers and 5 short papers included in this book were carefully reviewed and selected from 73 submissions. The papers present the latest research in the fields of space information networks.