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Shrinking Japan and Regional Variations: Along the Hokurikudo and the Tosando II (SpringerBriefs in Population Studies)

by Fumie Kumagai

This book provides an insightful sociological study of the shrinking Japanese population through a regional variation perspective as it varies significantly by municipality, even within the same prefecture. Using demographic data on municipal levels, the book identifies the power unique to each municipality, which can mobilize a shrinking but sustainable Japan. The study identifies the principal explanatory factors based on the small area data of e-Stat through GPS statistical software tools such as G-census and EvaCva within a historical perspective. The theoretical framework of this study, i.e., the reason for regional variations in Japan, is the Goki-Shichido (Five Home Provinces and Seven Circuits of Ancient Japan). This historical knowledge helps in understanding the significance of the regional cultural heritage that remains in each municipality today. The book pays special attention to municipal variations within the same prefecture, utilizing a completely unique approach, unlike those that have been pursued by other researchers. This book studies three present-day prefectures for detailed analyses based on the Goki-Shichido framework for impacts of regional variations of population decline in Japan. They are Niigata Prefecture, made up of the formerly named Echigo and Sado provinces; Ishikawa Prefecture, formed by the ancient Kaga and Noto provinces; Fukui Prefecture, based on the earlier Wakasa and Echizen provinces of the Hokurikudo; Nagano Prefecture, still called Shinano province today and commonly divided into four areas and ten regions; and Gifu Prefecture, composed of the ancient Mino and Hida provinces of the Tosando as examples of the impact of municipal power on regional variations of shrinking Japan. However, due to the limitation of the number of pages set forth for Springer Briefs in Population Studies: Population Studies of Japan, for which the current publication is a part, it has become necessary to divide the book into two volumes, namely Volume I and Volume II. Because of this limitation, the current Volume II consisted of four chapters. They are Chapter 1: Fukui Prefecture in the Hokurikudo; Chapter 2: Nagano Prefecture in the Tosando; Chapter 3: Gifu Prefecture in the Tosando, and Chapter 4: Epilogue: The Future of Shrinking Japan. The remaining two prefectures, i.e., Niigata and Ishikawa prefectures in the Hokurikudo area have been discussed in the Volume I of this book. By presenting unique analyses of regional variations on small municipal levels, with demographic variables, social indicators, and historical identities, this book offers suggestions for effective regional policies to revitalize a shrinking Japan to a sustainable one.

Shrinking Japan and Regional Variations: Along the Sannyodo (SpringerBriefs in Population Studies)

by Fumie Kumagai

Taking the Goki-Shichido (Five Home Provinces and Seven Circuits of Ancient Japan) as a theoretical framework, this book examines shrinking Japan from a regional variation perspective by municipality along the ancient Sannyodo, which comprises eight provinces and four prefectures today. The book identifies the principal explanatory factors based on the small area data of e-Stat through GPS statistical software tools such as G-census and EvaCva, within a historical perspective. This historical knowledge helps in understanding the significance of the regional cultural heritage that remains in each municipality today. The book pays special attention to municipal variations within the same prefecture, presenting a completely unique approach from what other researchers have pursued.This book studies two present-day prefectures along the ancient Sannyodo for detailed analyses of the impacts of regional variations of population decline in Japan. They are Hiroshima Prefecture, made up of the former Bingo and Aki provinces, and Yamaguchi Prefecture, formed by the ancient provinces of Suo and Nagato. The reasons for selecting these two prefectures of ancient Sannyodo are twofold. First, they are made up of a multiple number of the ancient provinces. Second, other prefectures that fall under the Sannyodo have been studied in the previous works of the present author by adopting the same methods of analyses. Thus, by presenting unique analyses of regional variations on small municipal levels in Hiroshima and Yamaguchi prefectures along the Sannyodo, this book offers suggestions for effective regional policy to revitalize shrinking Japan to a sustainable one.

A Shrinking Society: Post-Demographic Transition in Japan (SpringerBriefs in Population Studies)

by Toshihiko Hara

This is the book to focus on a new phenomenon emerging in the twenty-first century: the rapidly aging and decreasing population of a well-developed country, namely, Japan. The meaning of this phenomenon has been successfully clarified as the possible historical consequence of the demographic transition from high birth and death rates to low ones. Japan has entered the post-demographic transitional phase and will be the fastest-shrinking society in the world, leading other Asian countries that are experiencing the same drastic changes. The author used the historical statistics, compiled by the Statistic Bureau, Ministry of Internal Affairs and Communications in 2006 and population projections for released in 2012 by the National Institute of Population and Social Security Research, to show the past and future development of the dependency ratio from 1891 to 2060. Then, utilizing the population life table and net reproduction rate, the effects of increasing life expectancy and declining fertility on the dependency ratio were observed separately. Finally, the historical relationships among women's survival rates at reproductive age, the theoretical fertility rate to maintain the replacement level and the recorded total fertility rate (TFR) were analyzed. Historical observation showed TFR adapting to the theoretical level of fertility with a certain time lag and corresponding to women's survival rates at reproductive age. Women's increasing lifespan and survival rates could have influenced decision making to minimize the risk of childbearing. Even if the theoretical fertility rate meets the replacement level, women's views of minimizing the risk may remain unchanged because for women the cost-benefit imbalance in childbearing is still too high in Japan. Based on the findings, the author discusses the sustainability of Japanese society in relation to national finances, social security reform, family policies, immigration policies and community polices.

Si, Dios es un Matematico

by Dhanesh Kumar M Luis Rentería Ruiz

Creemos que Dios nunca puede ser entendido por la ciencia que exige pruebas. Desde el comienzo de los tiempos, muchos han buscado las respuestas a los misterios más grandes del mundo. Quizás el misterio más antiguo de la humanidad es "¿Cuál es la relación entre Dios y el hombre / la mujer?" Sorprendentemente, la respuesta puede estar en un modelo matemático oculto dentro de la arquitectura antigua de la India, que se cree que tiene al menos cinco mil años de antigüedad. Si puedes dedicar un par de horas a una lectura entretenida, puedes ver a Dios en el lente de la ciencia. Los devotos de todo el mundo pueden asombrarse y quizás hasta ofenderse ante la idea de que podemos buscar al Ser Divino Supremo, Dios, a través del campo rico y texturizado de las Matemáticas. Pero con un poco de paciencia, y casi sin querer, puedes aprender de una rama de las Matemáticas, entrelazada con los asombrosos mitos y leyendas de la India. Estas matemáticas no son complejas. Un alumno de secundaria puede entenderlas. Sin embargo, el producto de desarrollo es más completo que el algoritmo moderno más complejo. Para su placer de lectura, las matemáticas que respaldan este modelo se explican de una manera placentera y sin dolor, junto con una historia en el aula de clases. Cuando leemos este libro, nos sorprende ver que tales tesoros arquitectónicos son realmente los prototipos de la Divinidad. Esto demuestra cómo este modelo matemático, en esencia, se ha proyectado a sí mismo como un microcosmos del mundo real. Se imita la teoría de la Creación y Realidad como se describe en las doctrinas hindúes. Ven a disfrutar de una historia de las matemáticas, entrelazada con los asombrosos mitos y leyendas de la India. Vamos, entra en la antigua ciencia india de la Creación arquitectónica, que es un mundo lleno de curiosidades y maravillas.

SIAM International Meshing Roundtable 2023 (Lecture Notes in Computational Science and Engineering #147)

by Eloi Ruiz-Gironés Rubén Sevilla David Moxey

This volume comprises selected papers from the SIAM International Meshing Roundtable Workshop 2023, SIAM IMR 2023, held in Amsterdam, the Netherlands, March 6-9, 2023. The IMR was started by Sandia National Laboratories in 1992 and, since 2021, it has been held under the umbrella of the Society for Industrial and Applied Mathematics (SIAM). The SIAM IMR 2023 was the first in-situ conference to be held since 2019, after two online conferences. It consisted of short courses, technical presentations from keynotes, contributed talks and research notes, a poster session and meshing contest, and discussion panels. The papers in these proceedings present novel contributions that range from theoretical advances to technical applications in engineering, geometric modeling, computer graphics, visualization, and machine learning.

Sich selbst diagnostizieren und fördern mit digitalen Medien: Forschungsbasierte Entwicklung eines Tools zum formativen Selbst-Assessment funktionalen Denkens (Essener Beiträge zur Mathematikdidaktik)

by Hana Ruchniewicz

Formative Selbstdiagnosen ermöglichen Lernenden die Ausbildung metakognitiver und selbstregulativer Strategien, mit deren Hilfe sie eigene Stärken und Schwächen aufdecken können. Zur Durchführung solcher Assessments bieten digitale Medien vielzählige Potentiale zur Unterstützung von Lernenden, z. B. erlauben Hyperlinks individuelle Lernpfade. Allerdings beschränken sich bisherige Angebote meist auf Selbst-Assessment-Tests mit eher geschlossenen Aufgabenformaten, die Nutzer*innen externes Feedback zum eigenen Kenntnisstand bereitstellen. Dabei fehlen Formate, die Lernenden ein eigenverantwortliches, inhaltsbasiertes Selbst-Assessment ermöglichen. In dieser Arbeit wird daher ein digitales Tool zum formativen Selbst-Assessment im Rahmen einer Design Research Studie entwickelt und mit verschiedenen Zielgruppen erprobt. Als Lerngegenstand wird exemplarisch der situativ-graphische Darstellungswechsel funktionaler Zusammenhänge gewählt, da sich diese Basiskompetenz sowohl zur Diagnose von Vorstellungen zum Funktionsbegriff als auch zur Förderung funktionalen Denkens eignet. Es wird ersichtlich, welche mentalen Prozesse während der Selbstdiagnosen der Proband*innen ablaufen.

Sicherheit und Kryptographie im Internet: Theorie und Praxis

by Jörg Schwenk

Das vorliegende Buch bietet eine strukturierte, gut lesbare Einführung zu den wichtigsten Sicherheitsstandards im Internet. Hierzu zählen bekannte Standards wie TLS, OpenPGP, S/MIME, SSH, IPsec und WPA, aber auch die versteckten Sicherheitsfeatures aus der Microsoft-Welt (PPTP, Kerberos), dem Mobilfunk, DNSSEC, Single-Sign-On-Protokollen und Datenformaten wie XML und JSON. Das Verständnis für diese Standards und deren Weiterentwicklung wird durch eine detaillierte Beschreibung der bekannten Angriffe vertieft, insbesondere für TLS liegt hier umfangreiches Material vor.Die 5. Auflage wurde erheblich erweitert und aktualisiert. Neue Themen sind unter anderem die WLAN-Standards WPA2 und WPA3, die neue TLS-Version 1.3, Kerberos, Anti-SPAM-Techniken und moderne Single-Sign-On-Protokolle. Das Thema TLS wird völlig neu dargestellt, und die Kapitel zu E-Mail-Sicherheit und IPsec deutlich erweitert. Eine umfangreiche Einführung in praktische Aspekte der Kryptographie macht dieses Buch ohne zusätzliche Literatur nutzbar.

Sicherheit von Leichtwasserreaktoren

by Anke Veser Claudia Landman Franz-Hermann Schlüter Günter Kessler Jürgen Päsler-Sauer Wolfgang Raskob

In einer für Laien verständlichen Form erläutern die Autoren die Risiken, die von Kernkraftwerken ausgehen, und den verantwortungsbewussten Umgang mit ihnen. Dazu werden die Grundlagen der Technologie erklärt ebenso wie die Sicherheitsmaßnahmen - auch im Hinblick auf Störfälle aus der Vergangenheit. Die Autoren beziehen neben den Ergebnissen probabilistischer Analysen und früherer Risikostudien auch aktuelle Forschungsergebnisse mit ein, die vor allem das Sicherheitskonzept für die neuen europäischen Druck- und Siedewasserreaktoren betreffen.

The Siddhāntasundara of Jñānarāja: An English Translation with Commentary

by Toke Lindegaard Knudsen

The first English translation of this major work of classical Indian astronomy and mathematics.A treasure for anyone interested in early modern India and the history of mathematics, this first English translation of the Siddhāntasundara reveals the fascinating work of the scholar-astronomer Jñānarāja (circa 1500 C.E.). Toke Lindegaard Knudsen begins with an introduction to the traditions of ancient Hindu astronomy and describes what is known of Jñānarāja’s life and family. He translates the Sanskrit verses into English and offers expert commentary on the style and substance of Jñānarāja's treatise.The Siddhāntasundara contains a comprehensive exposition of the system of Indian astronomy, including how to compute planetary positions and eclipses. It also explores deep, probing questions about the workings of the universe and sacred Hindu traditions. In a philosophical discussion, the treatise seeks a synthesis between the cosmological model used by the Indian astronomical tradition and the cosmology of a class of texts sacred in Hinduism. In his discourse, which includes a discussion of the direction of down and adhesive antipodeans, Jñānarāja rejects certain principles from the astronomical tradition and reinterprets principles from the sacred texts. He also constructs a complex poem on the seasons, many verses of which have two layers of meaning, one describing a season, the other a god's activities in that season. The Siddhāntasundara is the last major treatise of Indian astronomy and cosmology to receive serious scholarly attention, Knudsen’s careful effort unveils the 500-year-old Sanskrit verses and shows the clever quirkiness of Jñānarāja's writing style, his keen use of mathematics, and his subtle philosophical arguments.

Siegel Modular Forms: A Classical and Representation-Theoretic Approach (Lecture Notes in Mathematics #2240)

by Ameya Pitale

This monograph introduces two approaches to studying Siegel modular forms: the classical approach as holomorphic functions on the Siegel upper half space, and the approach via representation theory on the symplectic group. By illustrating the interconnections shared by the two, this book fills an important gap in the existing literature on modular forms. It begins by establishing the basics of the classical theory of Siegel modular forms, and then details more advanced topics. After this, much of the basic local representation theory is presented. Exercises are featured heavily throughout the volume, the solutions of which are helpfully provided in an appendix. Other topics considered include Hecke theory, Fourier coefficients, cuspidal automorphic representations, Bessel models, and integral representation.Graduate students and young researchers will find this volume particularly useful. It will also appeal to researchers in the area as a reference volume. Some knowledge of GL(2) theory is recommended, but there are a number of appendices included if the reader is not already familiar.

Sieve Methods (Dover Books on Mathematics)

by Heine Halberstam Hans Egon Richert

Derived from the techniques of analytic number theory, sieve theory employs methods from mathematical analysis to solve number-theoretical problems. This text by a noted pair of experts is regarded as the definitive work on the subject. It formulates the general sieve problem, explores the theoretical background, and illustrates significant applications.

Sign Language Machine Translation (Machine Translation: Technologies and Applications #5)

by Andy Way Lorraine Leeson Dimitar Shterionov

This book, for the first time, collects important current topics in the area of sign language translation in a single volume. The topic is introduced more generally to benefit newcomers to the field before diving into the current state-of-the-art methods of Sign Language Machine Translation (SLMT), together with an in-depth description of issues specific to this topic, including: an introduction to and historical overview of SLMT; ethical issues related to the engagement of and with deaf users; the importance of data; the sign languages of Europe; sign language recognition and synthesis, including via avatars; data-driven and linguistically-informed models of SLMT; gloss translation; fingerspelling; SLMT communication; and SLMT in practice. Of interest to MT developers and users as well as people working in deaf studies, this volume presents cutting-edge research on machine translation in the field of deaf studies.

Sign Language Processing: From Gesture to Meaning

by Achraf Othman

In a world where communication is key to human connection, understanding, and learning from one another, the book investigates the rich and intricate world of sign languages, highlighting the fascinating complexities of visual-spatial languages and their unique role in bridging the gap between hearing and deaf communities through information and communication technology. The book takes a journey through the evolution of sign language processing tools while exploring the cutting-edge techniques used to decipher, analyze, and process them, from the fundamentals of sign language structure and the nuances of non-manual signals to the latest developments in computational linguistics (corpora design, annotation tools, and notation systems), sign language recognition, and machine/deep learning applications. With a mission to reveal the silent language of expression, the author provides a captivating and thought-provoking look into a world often overlooked yet teeming with life and meaning. Offering a comprehensive and engaging overview of the current state of sign language research as well as its prospects, this monograph is an introduction resource for computer scientists, linguistics, educators, academics and sign language interpreters alike. This monograph is an invitation to discover the incredible potential of sign languages to transform human communication, promote inclusivity, and shape the future of technology. The readers will gain a deeper appreciation of the beauty and complexity of sign languages through technology, and they will be inspired to embrace the power of visual communication in our increasingly diverse and interconnected world.

Signal Detection for Medical Scientists: Likelihood Ratio Test-based Methodology (Chapman & Hall/CRC Biostatistics Series)

by Ram Tiwari Jyoti Zalkikar Lan Huang

Signal Detection for Medical Scientists: Likelihood Ratio Based Test-Based Methodology presents the data mining techniques with focus on likelihood ratio test (LRT) based methods for signal detection. It emphasizes computational aspect of LRT methodology and is pertinent for first-time researchers and graduate students venturing into this interesting field. The book is written as a reference book for professionals in pharmaceutical industry, manufactures of medical devices, and regulatory agencies. The book deals with the signal detection in drug/device evaluation, which is important in the post-market evaluation of medical products, and in the pre-market signal detection during clinical trials for monitoring procedures. It should also appeal to academic researchers, and faculty members in mathematics, statistics, biostatistics, data science, pharmacology, engineering, epidemiology, and public health. Therefore, this book is well suited for both research and teaching. Key Features: Includes a balanced discussion of art of data structure, issues in signal detection, statistical methods and analytics, and implementation of the methods. Provides a comprehensive summary of the LRT methods for signal detection including the basic theory and extensions for varying datasets that may be large post-market data or pre-market clinical trial data. Contains details of scientific background, statistical methods, and associated algorithms that a reader can quickly master the materials and apply methods in the book on one’s own problems

Signal Polarization Selection for Aircraft Radar Control: Models and Methods (Springer Aerospace Technology)

by Nikolay Kondratyevich Yurkov Alexey Yevgenyevich Bukharov Dmitry Alexandrovich Zatuchny

This book highlights the synthesis of polarization selection system in the background of passive noise formed by reflections from space-distributed targets. This synthesis is fulfilled as close as possible to its ideal configuration in terms of maximal signal-to-noise ratio for the matched load of radar station antenna system. It presents a new approach to radar system resolution enhancement based on the development of mathematical model for radiometric receivers with mono-pulse antenna systems, as well as creation of a new algorithm that allows increasing angular resolution during the object’s search and tracking due to special signal processing.

Signal Processing: A Mathematical Approach, Second Edition (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)

by Charles L. Byrne

Signal Processing: A Mathematical Approach is designed to show how many of the mathematical tools the reader knows can be used to understand and employ signal processing techniques in an applied environment. Assuming an advanced undergraduate- or graduate-level understanding of mathematics-including familiarity with Fourier series, matrices, probab

Signal Processing of Airborne Radar Stations: Plane Flight Control in Difficult Meteoconditions (Springer Aerospace Technology)

by Vereshchagin A.V. Zatuchny D.A. Sinitsyn V.A. Sinitsyn E.A. Shatrakov Y.G.

This book highlights new methods and parametric algorithms for the digital coherent processing of signals in airborne radar systems located on air vehicles. Using the autoregressive (AR) model, it delivers more accurate danger assessments for flight in wind shear and atmospheric turbulence, while also suggesting how they could be implemented. Given its scope, the book is intended for technical experts whose work involves the development, production and operation of airborne radio-electronic systems.

A Signal Theoretic Introduction to Random Processes

by Roy M. Howard

A fresh introduction to random processes utilizing signal theory By incorporating a signal theory basis, A Signal Theoretic Introduction to Random Processes presents a unique introduction to random processes with an emphasis on the important random phenomena encountered in the electronic and communications engineering field. The strong mathematical and signal theory basis provides clarity and precision in the statement of results. The book also features: A coherent account of the mathematical fundamentals and signal theory that underpin the presented material Unique, in-depth coverage of material not typically found in introductory books Emphasis on modeling and notation that facilitates development of random process theory Coverage of the prototypical random phenomena encountered in electrical engineering Detailed proofs of results A related website with solutions to the problems found at the end of each chapter A Signal Theoretic Introduction to Random Processes is a useful textbook for upper-undergraduate and graduate-level courses in applied mathematics as well as electrical and communications engineering departments. The book is also an excellent reference for research engineers and scientists who need to characterize random phenomena in their research. provides details the prototypical random processes that are fundamental to electrical, electronic, and communication engineering. Consequently, chapter 7-10 coverage includes details of the characterization of random phenomena from an engineering perspective: probability mass function/probability density function evolution, autocorrelation function, and power spectral density. Chapter 11 features an introduction to order statistics, which provides the background for a discussion of the Poisson point random process in Chapter 12. Chapter 13 introduces birth-death random processes and then Chapter 14 provides an introduction to first passage time theory.

Signals and Systems: Continuous and Discrete (4th Edition)

by D. Ronald Fannin Rodger E. Ziemer William H. Tranter

A market leader in previous editions, this book continues to offer a complete survey of continuous and discrete linear systems. It utilizes a systems approach to solving practical engineering problems, rather than using the framework of traditional circuit theory. Numerous examples from circuit theory appear throughout, however, to illustrate the various systems techniques introduced. The Fourth Edition has been thoroughly updated to effectively integrate the use of computers and to accurately reflect the latest theoretical advances.

Signals and Systems

by K. Deergha Rao

This textbook covers the fundamental theories of signals and systems analysis, while incorporating recent developments from integrated circuits technology into its examples. Starting with basic definitions in signal theory, the text explains the properties of continuous-time and discrete-time systems and their representation by differential equations and state space. From those tools, explanations for the processes of Fourier analysis, the Laplace transform, and the z-Transform provide new ways of experimenting with different kinds of time systems. The text also covers the separate classes of analog filters and their uses in signal processing applications. Intended for undergraduate electrical engineering students, chapter sections include exercise for review and practice for the systems concepts of each chapter. Along with exercises, the text includes MATLAB-based examples to allow readers to experiment with signals and systems code on their own. An online repository of the MATLAB code from this textbook can be found at github.com/springer-math/signals-and-systems.

Signals and Systems Laboratory with MATLAB

by Alex Palamides Anastasia Veloni

Developed as a textbook for the laboratory part of the course Signals and Systems, this book introduces students to theory through analytical examples implemented in Matlab code. Thus every theoretical equation is accompanied by the corresponding code implementation. Instead of using big M-Files or author-written functions with comments, the commands are executed one-by-one at the Matlab command line and the results, dong with comments are given side-by side in two or three column tables. This is very helpful and popular to students in Electrical Engineering, since the nature of this course includes detailed mathematical derivations and demands a strong mathematical background.

The Significance Test Controversy Revisited

by Bruno Lecoutre Jacques Poitevineau

The purpose of this book is not only to revisit the "significance test controversy,"but also to provide a conceptually sounder alternative. As such, it presents a Bayesian framework for a new approach to analyzing and interpreting experimental data. It also prepares students and researchers for reporting on experimental results. Normative aspects: The main views of statistical tests are revisited and the philosophies of Fisher, Neyman-Pearson and Jeffrey are discussed in detail. Descriptive aspects: The misuses of Null Hypothesis Significance Tests are reconsidered in light of Jeffreys' Bayesian conceptions concerning the role of statistical inference in experimental investigations. Prescriptive aspects: The current effect size and confidence interval reporting practices are presented and seriously questioned. Methodological aspects are carefully discussed and fiducial Bayesian methods are proposed as a more suitable alternative for reporting on experimental results. In closing, basic routine procedures regarding the means and their generalization to the most common ANOVA applications are presented and illustrated. All the calculations discussed can be easily carried out using the freeware LePAC package.

The Significance Test Controversy Revisited: The Fiducial Bayesian Alternative

by Bruno Lecoutre Jacques Poitevineau

This book explains the misuses and abuses of Null Hypothesis Significance Tests, which are reconsidered in light of Jeffreys’ Bayesian concept of the role of statistical inference, in experimental investigations. Minimizing the technical aspects, the studies focuses mainly on methodological contributions. The first part of the book gives an overview of the major approaches to statistical testing and an enlightening discussion of the philosophies of Fisher, Neyman-Pearson and Jeffrey. The conceptual and methodological implications of current practices of reporting effect sizes and confidence intervals are also examined and challenged. This sheds new light on the "significance testing controversy" and provides an appropriate Bayesian framework for a comprehensive approach to the analysis and interpretation of experimental data. The second part of the book provides concrete Bayesian routine procedures that bypass common misuses of significance testing and are readily applicable in a wide range of real applications. This approach addresses the need for objective reporting of experimental data, that is acceptable to the scientific community. This is emphasized by the name fiducial (from the Latin fiducia = confidence). The fiducial Bayesian procedures provide the reader with a real opportunity to think sensibly about problems of statistical inference. This book prepares students and researchers to critically read statistical analyses reported in the literature and equips them with an appropriate alternative to the use of significance testing.

Significant Figures: The Lives And Work Of Great Mathematicians

by Ian Stewart

A celebrated mathematician traces the history of math through the lives and work of twenty-five pioneering mathematiciansIn Significant Figures, acclaimed mathematician Ian Stewart introduces the visionaries of mathematics throughout history. Delving into the lives of twenty-five great mathematicians, Stewart examines the roles they played in creating, inventing, and discovering the mathematics we use today. Through these short biographies, we get acquainted with the history of mathematics from Archimedes to Benoit Mandelbrot, and learn about those too often left out of the cannon, such as Muhammad ibn Musa al-Khwarizmi (c. 780-850), the creator of algebra, and Augusta Ada King (1815-1852), Countess of Lovelace, the world's first computer programmer.Tracing the evolution of mathematics over the course of two millennia, Significant Figures will educate and delight aspiring mathematicians and experts alike.

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