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Alexandr Berlin Mathematics of the market. Service random flow


The book offers a new approach to the calculation of economic processes. This approach allows to obtain very interesting data: – to define a generic mathematical description of the goods. In book gives a mathematical market model, it is shown that calculations of the parameters of the market can be carried out according to the formulas of the Queuing theory, in particular according to the formulas of erlang, Engset, etc; to define formulas that reflect the relationship between supply and demand

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Robin Qiu G. Service Science. The Foundations of Engineering and Management


Features coverage of the service systems lifecycle, including service marketing, engineering, delivery, quality control, management, and sustainment Featuring an innovative and holistic approach, Service Science: The Foundations of Service Engineering and Management provides a new perspective of service research and practice. The book presents a practical approach to the service systems lifecycle framework, which aids in understanding and capturing market trends; analyzing the design and engineering of service products and delivery networks; executing service operations; and controlling and managing the service lifecycles for competitive advantage. Utilizing a combined theoretical and practical approach to discuss service science, Service Science: The Foundations of Service Engineering and Management also features: Case studies to illustrate how the presented theories and design principles are applied in practice to the definitions of fundamental service laws, including service interaction and socio-technical natures Computational thinking and system modeling such as abstraction, digitalization, holistic perspectives, and analytics Plentiful examples of service organizations such as automobile after-sale services, global project management networks, and express delivery services An interdisciplinary emphasis that includes integrated approaches from the fields of mathematics, engineering, industrial engineering, business, operations research, and management science A detailed analysis of the key concepts and body of knowledge for readers to master the foundations of service management Service Science: The Foundations of Service Engineering and Management is an ideal reference for practitioners in the contemporary service engineering and management field as well as researchers in applied mathematics, statistics, business/management science, operations research, industrial engineering, and economics. The book is also appropriate as a text for upper-undergraduate and graduate-level courses in industrial engineering, operations research, and management science as well as MBA students studying service management.

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Florian Timmermann Excursion Sets of Random Fields and its Applications


Research Paper (postgraduate) from the year 2011 in the subject Mathematics - Stochastics, grade: 1,0, University of Ulm, language: English, abstract: This work combines two beautiful branches of mathematics: geometry and random fields. The mathematical basics needed to understand the theory are developed carefully. Enriched with illustrative examples an easily implementable method for the analysis of a wide range of surfaces, e.g. paper or metallic surfaces, is provided and therefore suits for direct application.

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Trading in the Zone


Douglas uncovers the underlying reasons for lack of consistency and helps traders overcome the ingrained mental habits that cost them money. He takes on the myths of the market and exposes them one by one teaching traders to look beyond random outcomes, to understand the true realities of risk, and to be comfortable with the probabilities of market movement that governs all market speculation.

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Su Liang The Development of Teaching Expertise from an International Perspective


This book provides an insightful view of effective teaching practices in China from an internationalperspective by examining the grades 7-12 mathematics teacher preparation in the Shandong province ofChina. It is an excellent reference book for teacher educators, researchers, reformers, and teachingpractitioners. A qualitative research approach, involving in-depth interviews with purposive sampling often grades 7-12 award-winning mathematics teachers, was chosen to conduct the study. The participantsare from the Shandong province and have been awarded recognition for his/her achievements in teachinggrades 7-12 mathematics by the different levels: school, district, city, province, or nation; and his/herstudents have achieved high average scores in college entrance exams or in high school entrance examsamong the classes at the same grade level.Data analysis revealed the following findings: first, grades 7-12 mathematics teachers from the Shandong province of China were prepared to teachthrough pre-service training, in-service training, and informal learning. The pre-service training can be characterized as emphasizing formalmathematics training at advanced level. The in-service training is integrated with teacher collaboration and teaching research, and has thecharacteristics of diversity, continuity, and orientation toward teaching practice. The in-service training also stimulates teachers to conduct selfdirectedlearning. Second, the award-winning grades 7-12 mathematics teach...

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Christian Mößlacher Random Numbers. Sequences Based On Linear Feedback


Diploma Thesis from the year 2012 in the subject Mathematics - Stochastics, grade: 2, Klagenfurt University (Institut für Statistik), language: English, abstract: 7 is definately not a random number. In fact, we would probably say that the sequence 7, 2, 13, 9, 5, 8, ... is random. Within mathematics a sequence of random numbers should not display a pattern or show any form of regularity. Sequences of random numbers are generated by an algorithm that determines a succeeding number using one or more givennumbers. Numbers yielded by an algorithm are called pseudo-random numbers which can be denoted mathematically. Multidimensional equidistribution and a large period are important properties required from a sequence in order to acknowledge it as random numbers. The algorithms to produce random numbers can be roughly grouped into two families- congruential generators and generators based on feedback shift registers (FSR). We will focus on the latter family. An FSR-based generator can be described by a characteristicpolynomial which has to be primitive in order to ensure the best quality with respect to randomness. Often sparse polynomials are used to reduce computing costs. The algorithms used produce random sequences that might have some deficiencies. However, the quality of randomness can be improved by several measurements; as are modifying the feedback, filtering the output sequences or combining two or more generators.

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Scott McCloskey THE MIRACLE OF QRS. The Solution to Fix A Broken Federal Government


THE MIRACLE OF QRS (Qualified Random Service) introduces original ideas that will positively reenergize America for centuries. Our Federal Government is badly broken because of competitive voting, which has created an adversarial two-party system that has forced Congress and American voters into combative political camps (Democrats and Republicans). Americans are angry and they have a right to be! Some politicians, political pundits, and members of the media have sold us down the river. Some of them love this broken political system because it keeps them rich and in power. It is time to give the American people true citizen-government, and that is exactly what THE MIRACLE OF QRS (Qualified Random Service) does. THE MIRACLE OF QRS (Qualified Random Service): The Solution to Fix America’s Broken Federal Government, is a completely original, transformational work for America that could change millions of lives in a positive way. QRS (Qualified Random Service) is the best political/government idea since our Constitution was written in 1787. The MIRACLE OF QRS (Qualified Random Service) was written for all Americans who want an American Federal Government that works in a positive and efficient manner. No one is disenfranchised by the QRS (Qualified Random Service) system, unlike our current political system, which disenfranchises American voters in numerous ways. My name is Scott McCloskey and I am just like you; an everyday, working American who is very concerned about America’s ...

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Yi Tang, Bin Li QUANTITATIVE ANALYSIS, DERIVATIVES MODELING, AND TRADING STRATEGIES. IN THE PRESENCE OF COUNTERPARTY CREDIT RISK FOR FIXED-INCOME MARKET


This book addresses selected practical applications and recent developments in the areas of quantitative financial modeling in derivatives instruments, some of which are from the authors' own research and practice. It is written from the viewpoint of financial engineers or practitioners, and, as such, it puts more emphasis on the practical applications of financial mathematics in the real market than the mathematics itself with precise (and tedious) technical conditions. It attempts to combine economic insights with mathematics and modeling so as to help the reader to develop intuitions.Among the modeling and the numerical techniques presented are the practical applications of the martingale theories, such as martingale model factory and martingale resampling and interpolation. In addition, the book addresses the counterparty credit risk modeling, pricing, and arbitraging strategies from the perspective of a front office functionality and a revenue center (rather than merely a risk management functionality), which are relatively recent developments and are of increasing importance. It also discusses various trading structuring strategies and touches upon some popular credit/IR/FX hybrid products, such as PRDC, TARN, Snowballs, Snowbears, CCDS, and credit extinguishers.While the primary scope of this book is the fixed-income market (with further focus on the interest rate market), many of the methodologies presented also apply to other financial markets, such as the credit...

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Roy Howard M. A Signal Theoretic Introduction to Random Processes


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.

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Chih-Hsien Chen, Chyi Jaw, Bo-Xun Xiao Measuring Service Innovation Performance - by Diffusion Model. Empirical Evidence on New Festivals of Tourism


It is not easy to protect an unique service by regulation and patent because of the service characteristics. Service firms just only develop innovations continually to define and extend their market. Specially, the growth of some service industries (e.g. tourism) is limited by the once consumption which is difficult to repeat in short duration. The weakness has pushed these service industries to stimulate the new consumption by continual innovations which need many resources. But the ambiguous performance of service innovation could not prove the reasonableness of resource allocation. This study tries to measure new service diffusion as innovation performance in order to help evaluate the innovation decision in service industry.

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Selected Writings from the Journal of Mathematics Council Alberta Teachers. Association. Celebrating 50 Years (1962-2012) Delta-K


A volume in the series The Montana Mathematics Enthusiast: Monograph Seriesin Mathematics Education. Series Editor: Bharath Sriraman, The University of MontanaThe teaching and learning of mathematics in Alberta - one of three Canadian provinces sharing aborder with Montana - has a long and storied history. An integral part of the past 50 years (1962-2012) of this history has been delta-K: Journal of the Mathematics Council of the AlbertaTeachers' Association. This volume, which presents ten memorable articles from each of the pastfive decades, that is, 50 articles from the past 50 years of the journal, provides an opportunity toshare this rich history with a wide range of individuals interested in the teaching and learning of mathematics and mathematicseducation. Each decade begins with an introduction, providing a historical context, and concludes with a commentary from a prominentmember of the Alberta mathematics education community. As a result, this monograph provides a historical account as well as acontemporary view of many of the trends and issues in the teaching and learning of mathematics. This volume is meant to serve as aresource for a variety of individuals, including teachers of mathematics, mathematics teacher educators, mathematics educationresearchers, historians, and undergraduate and graduate students. Most importantly, this volume is a celebratory retrospective on thework of the Mathematics Council of the Alberta Teachers' Association.

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Mathematics of the market. Service random flow by Berlin ...

The book offers a new approach to the calculation of economic processes. This approach allows to obtain very interesting data: – to define a generic mathematical description of the goods.

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Prof. Dr. Alexander Bockmayr • Mathematics in Life ...

The research group "Mathematics in Life Sciences" is working on mathematical and computational methods for molecular systems biology. The main focus is on constraint-based and optimisation-based approaches for analysing the structure and dynamics of metabolic and regulatory networks.

Berlin Mathematical School

The Berlin Mathematical School (BMS) is a joint graduate school of the three renowned math departments of the public research universities in Berlin: Freie Universität, Technische Universität Berlin, and Humboldt-Universität zu Berlin.

Alexander Bockmayr | Prof. Dr. | Freie Universität Berlin ...

Alexander Bockmayr currently works at the Institute of Mathematics, Freie Universität Berlin. He does research in Applied Mathematics, Bioinformatics and Systems Biology.

BMS Faculty - Berlin Mathematical School

BMS Faculty The faculty of the Berlin Mathematical School (BMS) includes a great number of scientists from all three Berlin universities - full professors as well as postdoctoral faculty , who are active in teaching BMS courses , advising, mentoring , organizing and contributing to BMS in various ways .

Alexander I. Bobenko. Home Page - TU Berlin

Prof. Alexander I. Bobenko. Institut für Mathematik, MA 8-3, Technische Universität Berlin, Strasse des 17. Juni 136, 10623 Berlin, Germany Tel.: ++49 (30) 314 24655

Alexandr berlin mathematics of the market service random flow. Alexander I. Bobenko. Home Page - TU Berlin

Prof. Alexander I. Bobenko. Institut für Mathematik, MA 8-3, Technische Universität Berlin, Strasse des 17. Juni 136, 10623 Berlin, Germany Tel.: ++49 (30) 314 24655

Priv.-Doz. Dr. Alexander Linke - Weierstrass Institute

Seat of the Secretariat of the International Mathematical Union. Seat of the office of the Deutsche Mathematiker-Vereinigung. Certified by audit berufundfamilie

Alexander Grothendieck - Wikipedia

Alexander Grothendieck (/ ˈ ɡ r oʊ t ən d iː k /; German: [ˈɡroːtn̩diːk]; French: [ɡʁɔtɛndik]; 28 March 1928 – 13 November 2014) was a mathematician who became the leading figure in the creation of modern algebraic geometry.

Mathematics of the market - Service random flow - Alexandr ...

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Alexandr Berlin The book offers a new approach to the calculation of economic processes. This approach allows to obtain very interesting data: — to define a generic mathematical description of the goods.

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Mathematics in Berlin • About • Freie Universität Berlin

Berlin is a city with a long tradition in mathematics. It is where Gottfried Wilhelm Leibniz, inventor of the binary number system, founded the Prussian Academy of Sciences; where Leonhard Euler developed the calculus of variations; and where Konrad Zuse built the first computer that operated with binary numbers. Today Berlin is one of the world leaders in mathematics, fostering outstanding young mathematicians.

Alexandr berlin mathematics of the market service random flow. Priv.-Doz. Dr. Alexander Linke - Weierstrass Institute

Seat of the Secretariat of the International Mathematical Union. Seat of the office of the Deutsche Mathematiker-Vereinigung. Certified by audit berufundfamilie

Alexandr berlin mathematics of the market service random flow. Mathematics of the market - Service random flow - Alexandr ...

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Department of Mathematics and Computer ... - mi.fu-berlin.de

Diskrete Geometrie Prof. Dr. Pavle Blagojevic, Prof. Dr. Francisco Santos, Prof. Dr. Rainer Sinn, Prof. Dr. Günter M. Ziegler

Selected Writings from the Journal of British Columbia Association Mathematics Teachers. Celebrating 50 years (1962-2012) Vector


A volume in The Montana Mathematics Enthusiast: Monograph Series in Mathematics EducationThe teaching and learning of mathematics in British Columbia has a long and storied history. An integral part of the past 50 years (1962-2012) of this history has been Vector: Journal of the British Columbia Association of Mathematics Teachers. This volume, which presents ten memorable articles from each of the past five decades, that is, 50 articles from the past 50 years of the journal, provides an opportunity to share this rich history with a wide range of individuals interested in the teaching and learning of mathematics and mathematics education. Each decade begins with an introduction, providing a historical context, and concludes with a commentary from a prominent member of the British Columbia mathematics education community. As a result, this monograph provides a historical ac-count as well as a contemporary view of many of the trends and issues in the teaching and learning of mathematics. This volume is meant to serve as a re-source for a variety of individuals including: teachers of mathematics, mathematics teacher educators, mathematics education researchers, historians, and undergraduate and graduate students. Most importantly, this volume is a celebratory retrospective on the work of the British Columbia Association of Mathe-matics Teachers.

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Alexander Karp, Nicholas Wasserman Mathematics in Middle and Secondary School. A Problem Solving Approach


The experience and knowledge acquired in teacher education courses should build important fundamentalsfor the future teaching of mathematics. In particular, experience in mathematical problem solving, and inplanning lessons devoted to problem solving, is an essential component of teacher preparation. This bookdevelops a problem solving approach and is intended to be a text used in mathematics education courses (orprofessional development) for pre-service or in-service middle and secondary school teachers. It can be usedboth in graduate and undergraduate courses, in accordance with the focus of teacher preparation programs.The content of the book is suited especially for those students who are further along in their mathematicseducation preparation, as the text is more involved with mathematical ideas and problem solving, anddiscusses some of the intricate pedagogical considerations that arise in teaching. The text is written not as anintroduction to mathematics education (a first course), but rather as a second, or probably, third course. Thebook deals both with general methodology issues in mathematics education incorporating a problem solvingapproach (Chapters 1-6) and with more concrete applications within the context of specific topics - algebra, geometry, and discrete mathematics(Chapters 7-13).The book provides opportunities for teachers to engage in authentic mathematical thinking. The mathematical ideas under consideration build onspecific middle and secondary school ...

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Dilip Kumar Long Memory in the Volatility of Indian Financial Market. An Empirical Analysis Based on Data


This book examines the long memory characteristics in the volatility of the Indian stock market, the Indian exchange rates and the Indian banking sector. This book also reviews the chain of approaches to estimate the long memory parameter. The long memory characteristics of the financial time series are widely studied and have implications for various economics and finance theories. The most important financial implication is related to the violation of the weak-form of market efficiency which encourages the traders, investors and portfolio managers to develop models for making predictions and to construct and implement speculative trading and investment strategies. In an efficient market, the price of an asset should follow a random walk process in which the price change is unaffected by ist lagged price changes and has no memory.

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Kerim Galal Strategic Positioning in the Consulting Industry


This book provides an in-depth analysis of strategic positioning efforts of firms in the German consulting market. In his work, the author applies strategic group theory to the German management consulting industry, and provides an empirical test of the performance effects of alternative positioning strategies of management consulting firms. At the core is its empirical research, specifically the analysis of the "service expositions", through which consulting firms communicate the nature of their services to clients. In order to ascertain these service expositions, the author conducts content analysis of 233 consulting firms active in the German market. He then uses the findings in order to cluster the firms into distinct strategic groups and tests for associations between the positioning of firms within their respective group and their performance. Overall, the author finds evidence of three distinct strategic groups of consulting firms that operate in the German market, which he describes as "Standardized Solution Providers", "Functional Specialists" and "Functional Generalists". "Practitioners and industry observers are going to find this book uniquely helpful as it provides clarity on both the macro- and the micro-strategies of consulting firms active in Germany i. e., the overall service portfolio choices they make (which types of services to offer at all), and the specific communicative positioning of these service offerings vis-à-vis...

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Christian Szylar Handbook of Market Risk


A ONE-STOP GUIDE FOR THE THEORIES, APPLICATIONS, AND STATISTICAL METHODOLOGIES OF MARKET RISK Understanding and investigating the impacts of market risk on the financial landscape is crucial in preventing crises. Written by a hedge fund specialist, the Handbook of Market Risk is the comprehensive guide to the subject of market risk. Featuring a format that is accessible and convenient, the handbook employs numerous examples to underscore the application of the material in a real-world setting. The book starts by introducing the various methods to measure market risk while continuing to emphasize stress testing, liquidity, and interest rate implications. Covering topics intrinsic to understanding and applying market risk, the handbook features: An introduction to financial markets The historical perspective from market events and diverse mathematics to the value-at-risk Return and volatility estimates Diversification, portfolio risk, and efficient frontier The Capital Asset Pricing Model and the Arbitrage Pricing Theory The use of a fundamental multi-factors model Financial derivatives instruments Fixed income and interest rate risk Liquidity risk Alternative investments Stress testing and back testing Banks and Basel II/III The Handbook of Market Risk is a must-have resource for financial engineers, quantitative analysts, regulators, risk managers in investments banks, and large-scale consultancy groups advising banks on internal systems. The handbook is also an excellent text for academics teaching postgraduate courses on financial methodology.

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Norbert Wiener Nonlinear Problems in Random Theory


2013 Reprint of 1958 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. A series of lectures on the role of nonlinear processes in physics, mathematics, electrical engineering, physiology, and communication theory.From the preface: "For some time I have been interested in a group of phenomena depending upon random processes. One the one hand, I have recorded the random shot effect as a suitable input for testing nonlinear circuits. On the other hand, for some of the work that Professor W. A. Rosenblith and I have been doing concerning the nature of the electroencephalogram, and in particular of the alpha rhythm, it has occurred to me to use the model of a system of random nonlinear oscillators excited by a random input. . . . At the beginning we had contemplated a series of only four or five lectures. My ideas developed pari passu with the course, and by the end of the term we found ourselves with a set of fifteen lectures. The last few of these were devoted to the application of my ideas to problems in the statistical mechanics of gases. This work is both new and tentative, and I found that I had to supplement my course by the writing over of these with the help of Professer Y. W. Lee. "

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Craig Smorynski Chapters in Mathematics. from Pi to Pell


Growing out of a course in the history of mathematics given to school teachers,the present book covers a number of topics of elementary mathematics from both the mathematical and historical perspectives.Included are topics from geometry (π, Napoleon's Theorem, trigonometry),recreational mathematics (the Pell equation, Fibonacci numbers), and computational mathematics (finding square roots, mathematical tables). Although written with the needs of the mathematics teacher in mind, the book can be read profitably by any high school graduate with a liking for mathematics.

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Donald Bindner Mathematics for the Liberal Arts


Presents a clear bridge between mathematics and the liberal arts Mathematics for the Liberal Arts provides a comprehensible and precise introduction to modern mathematics intertwined with the history of mathematical discoveries. The book discusses mathematical ideas in the context of the unfolding story of human thought and highlights the application of mathematics in everyday life. Divided into two parts, Mathematics for the Liberal Arts first traces the history of mathematics from the ancient world to the Middle Ages, then moves on to the Renaissance and finishes with the development of modern mathematics. In the second part, the book explores major topics of calculus and number theory, including problem-solving techniques and real-world applications. This book emphasizes learning through doing, presents a practical approach, and features: A detailed explanation of why mathematical principles are true and how the mathematical processes work Numerous figures and diagrams as well as hundreds of worked examples and exercises, aiding readers to further visualize the presented concepts Various real-world practical applications of mathematics, including error-correcting codes and the space shuttle program Vignette biographies of renowned mathematicians Appendices with solutions to selected exercises and suggestions for further reading Mathematics for the Liberal Arts is an excellent introduction to the history and concepts of mathematics for undergraduate liberal arts students and readers in non-scientific fields wishing to gain a better understanding of mathematics and mathematical problem-solving skills.

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Patrick Muldowney A Modern Theory of Random Variation. With Applications in Stochastic Calculus, Financial Mathematics, and Feynman Integration


A ground-breaking and practical treatment of probability and stochastic processes A Modern Theory of Random Variation is a new and radical re-formulation of the mathematical underpinnings of subjects as diverse as investment, communication engineering, and quantum mechanics. Setting aside the classical theory of probability measure spaces, the book utilizes a mathematically rigorous version of the theory of random variation that bases itself exclusively on finitely additive probability distribution functions. In place of twentieth century Lebesgue integration and measure theory, the author uses the simpler concept of Riemann sums, and the non-absolute Riemann-type integration of Henstock. Readers are supplied with an accessible approach to standard elements of probability theory such as the central limmit theorem and Brownian motion as well as remarkable, new results on Feynman diagrams and stochastic integrals. Throughout the book, detailed numerical demonstrations accompany the discussions of abstract mathematical theory, from the simplest elements of the subject to the most complex. In addition, an array of numerical examples and vivid illustrations showcase how the presented methods and applications can be undertaken at various levels of complexity. A Modern Theory of Random Variation is a suitable book for courses on mathematical analysis, probability theory, and mathematical finance at the upper-undergraduate and graduate levels. The book is also an indispensible resource for researchers and practitioners who are seeking new concepts, techniques and methodologies in data analysis, numerical calculation, and financial asset valuation. Patrick Muldowney, PhD, served as lecturer at the Magee Business School of the UNiversity of Ulster for over twenty years. Dr. Muldowney has published extensively in his areas of research, including integration theory, financial mathematics, and random variation.

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Noga Alon The Probabilistic Method


Praise for the Third Edition “Researchers of any kind of extremal combinatorics or theoretical computer science will welcome the new edition of this book.” – MAA Reviews Maintaining a standard of excellence that establishes The Probabilistic Method as the leading reference on probabilistic methods in combinatorics, the Fourth Edition continues to feature a clear writing style, illustrative examples, and illuminating exercises. The new edition includes numerous updates to reflect the most recent developments and advances in discrete mathematics and the connections to other areas in mathematics, theoretical computer science, and statistical physics. Emphasizing the methodology and techniques that enable problem-solving, The Probabilistic Method, Fourth Edition begins with a description of tools applied to probabilistic arguments, including basic techniques that use expectation and variance as well as the more advanced applications of martingales and correlation inequalities. The authors explore where probabilistic techniques have been applied successfully and also examine topical coverage such as discrepancy and random graphs, circuit complexity, computational geometry, and derandomization of randomized algorithms. Written by two well-known authorities in the field, the Fourth Edition features: Additional exercises throughout with hints and solutions to select problems in an appendix to help readers obtain a deeper understanding of the best methods and techniques New coverage on topics such as the Local Lemma, Six Standard Deviations result in Discrepancy Theory, Property B, and graph limits Updated sections to reflect major developments on the newest topics, discussions of the hypergraph container method, and many new references and improved results The Probabilistic Method, Fourth Edition is an ideal textbook for upper-undergraduate and graduate-level students majoring in mathematics, computer science, operations research, and statistics. The Fourth Edition is also an excellent reference for researchers and combinatorists who use probabilistic methods, discrete mathematics, and number theory. Noga Alon, PhD, is Baumritter Professor of Mathematics and Computer Science at Tel Aviv University. He is a member of the Israel National Academy of Sciences and Academia Europaea. A coeditor of the journal Random Structures and Algorithms, Dr. Alon is the recipient of the Polya Prize, The Gödel Prize, The Israel Prize, and the EMET Prize. Joel H. Spencer, PhD, is Professor of Mathematics and Computer Science at the Courant Institute of New York University. He is the cofounder and coeditor of the journal Random Structures and Algorithms and is a Sloane Foundation Fellow. Dr. Spencer has written more than 200 published articles and is the coauthor of Ramsey Theory, Second Edition, also published by Wiley.

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Michael K. J. Goodman An Introduction to the Early Development of Mathematics


An easy-to-read presentation of the early history of mathematics Engaging and accessible, An Introduction to the Early Development of Mathematics provides a captivating introduction to the history of ancient mathematics in early civilizations for a nontechnical audience. Written with practical applications in a variety of areas, the book utilizes the historical context of mathematics as a pedagogical tool to assist readers working through mathematical and historical topics. The book is divided into sections on significant early civilizations including Egypt, Babylonia, China, Greece, India, and the Islamic world. Beginning each chapter with a general historical overview of the civilized area, the author highlights the civilization’s mathematical techniques, number representations, accomplishments, challenges, and contributions to the mathematical world. Thoroughly class-tested, An Introduction to the Early Development of Mathematics features: Challenging exercises that lead readers to a deeper understanding of mathematics Numerous relevant examples and problem sets with detailed explanations of the processes and solutions at the end of each chapter Additional references on specific topics and keywords from history, archeology, religion, culture, and mathematics Examples of practical applications with step-by-step explanations of the mathematical concepts and equations through the lens of early mathematical problems A companion website that includes additional exercises An Introduction to the Early Development of Mathematics is an ideal textbook for undergraduate courses on the history of mathematics and a supplement for elementary and secondary education majors. The book is also an appropriate reference for professional and trade audiences interested in the history of mathematics. Michael K. J. Goodman is Adjunct Mathematics Instructor at Westchester Community College, where he teaches courses in the history of mathematics, contemporary mathematics, and algebra. He is also the owner and operator of The Learning Miracle, LLC, which provides academic tutoring and test preparation for both college and high school students.

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Nyabero Charles, Omwenga Nyambega E., Okari Florence Teaching and Learning of Mathematics in Primary Schools Kenya


The performance of Mathematics at Kenya Certificate of Primary Education has remained low compared to other subjects at this level (KNEC, 2006,2007,2008). This study investigated the factors affecting the teaching and learning of Mathematics in selected public primary schools in Usian Gishu between the period of May and July 2010. The study was guided by the following objectives: to establish the teacher, learner, syllabus and school-related factors affecting the teaching and learning of Mathematics and to determine challenges faced in Mathematics teaching and learning in primary schools. The study employed a descriptive survey study design and was guided by the education production function theory. The study population comprised of head teachers, teachers and pupils in public primary schools in Usian Gishu of Rift-Valley province. Stratified random sampling was used in selecting 15 schools for participation in this study. Purposive sampling was used to select fifteen head teachers and 45 teachers of Mathematics for inclusion in this study.

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