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Mathematics for Economics and Finance
by Michael Harrison Patrick WaldronThe aim of this book is to bring students of economics and finance who have only an introductory background in mathematics up to a quite advanced level in the subject, thus preparing them for the core mathematical demands of econometrics, economic theory, quantitative finance and mathematical economics, which they are likely to encounter in their final-year courses and beyond. The level of the book will also be useful for those embarking on the first year of their graduate studies in Business, Economics or Finance. The book also serves as an introduction to quantitative economics and finance for mathematics students at undergraduate level and above. In recent years, mathematics graduates have been increasingly expected to have skills in practical subjects such as economics and finance, just as economics graduates have been expected to have an increasingly strong grounding in mathematics. The authors avoid the pitfalls of many texts that become too theoretical. The use of mathematical methods in the real world is never lost sight of and quantitative analysis is brought to bear on a variety of topics including foreign exchange rates and other macro level issues.
Mathematics for Economics and Finance: Methods And Modelling
by Martin Anthony Norman BiggsAccessible, concise, and interactive, this book introduces the mathematical methods that are indispensable in economics and finance. Fully updated to be as student friendly as possible, this edition contains extensive problems, worked examples and exercises (with full solutions at the end of the book). Two brand new chapters cover coupled systems of recurrence/differential equations, and matrix diagonalisation. All topics are motivated by problems from economics and finance, demonstrating to students how they can apply the mathematical techniques covered. For undergraduate students of economics, mathematics, or both, this book will be welcomed for its clarity and breadth and the many opportunities it provides for readers to practise and test their understanding.
Mathematics for Economists with Applications
by James BerginMathematics for Economists with Applications provides detailed coverage of the mathematical techniques essential for undergraduate and introductory graduate work in economics, business and finance. Beginning with linear algebra and matrix theory, the book develops the techniques of univariate and multivariate calculus used in economics, proceeding to discuss the theory of optimization in detail. Integration, differential and difference equations are considered in subsequent chapters. Uniquely, the book also features a discussion of statistics and probability, including a study of the key distributions and their role in hypothesis testing. Throughout the text, large numbers of new and insightful examples and an extensive use of graphs explain and motivate the material. Each chapter develops from an elementary level and builds to more advanced topics, providing logical progression for the student, and enabling instructors to prescribe material to the required level of the course. With coverage substantial in depth as well as breadth, and including a companion website at www.routledge.com/cw/bergin, containing exercises related to the worked examples from each chapter of the book, Mathematics for Economists with Applications contains everything needed to understand and apply the mathematical methods and practices fundamental to the study of economics.
Mathematics for Finance, Business and Economics (Routledge-Noordhoff International Editions)
by Irénée Dondjio Wouter KrasserMastering the basic concepts of mathematics is the key to understanding other subjects such as Economics, Finance, Statistics, and Accounting. Mathematics for Finance, Business and Economics is written informally for easy comprehension. Unlike traditional textbooks it provides a combination of explanations, exploration and real-life applications of major concepts. Mathematics for Finance, Business and Economics discusses elementary mathematical operations, linear and non-linear functions and equations, differentiation and optimization, economic functions, summation, percentages and interest, arithmetic and geometric series, present and future values of annuities, matrices and Markov chains. Aided by the discussion of real-world problems and solutions, students across the business and economics disciplines will find this textbook perfect for gaining an understanding of a core plank of their studies.
Mathematics for Sustainable Industry: ISMI 2024, Kuala Lumpur, Malaysia, September 9–11 (Springer Proceedings in Mathematics & Statistics #496)
by Ahmad Fadillah Embong Zaitul Marlizawati Zainuddin Ani Shabri Fatin Nadiah Mohamed YussofThis volume gathers selected, peer-reviewed contributions presented at the 5th International Seminar on Mathematics in Industry – ISMI2024, held on September 9-11, 2024 in Kuala Lumpur, Malaysia. Articles in this volume touch on fields such as applied mathematics, applied probability theory and stochastic modeling, statistical modeling, operations research, biomathematics, optimization, inventory management, supply chain, and computational mathematics, all with an emphasis on solutions to real-world problems. Many of the studies contained here closely relate to the United Nations&’ Sustainable Development Goals, namely SDG 9 (Industry) and SDG 3 (Health), potentially inspiring practitioners and scholars to deploy these findings and pursue similar avenues of research. Since its inception in 2013, ISMI has been organized by the Centre for Industrial and Applied Mathematics (UTM-CIAM) and the Department of Mathematical Sciences, Universiti Teknologi Malaysia (UTM) with the aims of disseminating knowledge, sharing experiences in research on various aspects of industrial mathematics and statistics and fostering collaboration among academia, government agencies, industry, and community.
Mathematics for economics and finance
by Martin Anthony Norman BiggsMathematics has become indispensable in the modelling of economics, finance, business and management. Without expecting any particular background of the reader, this book covers the following mathematical topics, with frequent reference to applications in economics and finance: functions, graphs and equations, recurrences (difference equations), differentiation, exponentials and logarithms, optimisation, partial differentiation, optimisation in several variables, vectors and matrices, linear equations, Lagrange multipliers, integration, first-order and second-order differential equations. The stress is on the relation of maths to economics, and this is illustrated with copious examples and exercises to foster depth of understanding. Each chapter has three parts: the main text, a section of further worked examples and a summary of the chapter together with a selection of problems for the reader to attempt. For students of economics, mathematics, or both, this book provides an introduction to mathematical methods in economics and finance that will be welcomed for its clarity and breadth.
Mathematics in Cyber Research
by Paul L. GoethalsIn the last decade, both scholars and practitioners have sought novel ways to address the problem of cybersecurity. Innovative outcomes have included applications such as blockchain as well as creative methods for cyber forensics, software development, and intrusion prevention. Accompanying these technological advancements, discussion on cyber matters at national and international levels has focused primarily on the topics of law, policy, and strategy. The objective of these efforts is typically to promote security by establishing agreements among stakeholders on regulatory activities. Varying levels of investment in cyberspace, however, comes with varying levels of risk; in some ways, this can translate directly to the degree of emphasis for pushing substantial change. At the very foundation or root of cyberspace systems and processes are tenets and rules governed by principles in mathematics. Topics such as encrypting or decrypting file transmissions, modeling networks, performing data analysis, quantifying uncertainty, measuring risk, and weighing decisions or adversarial courses of action represent a very small subset of activities highlighted by mathematics. To facilitate education and a greater awareness of the role of mathematics in cyber systems and processes, a description of research in this area is needed. Mathematics in Cyber Research aims to familiarize educators and young researchers with the breadth of mathematics in cyber-related research. Each chapter introduces a mathematical sub-field, describes relevant work in this field associated with the cyber domain, provides methods and tools, as well as details cyber research examples or case studies. Features One of the only books to bring together such a diverse and comprehensive range of topics within mathematics and apply them to cyber research. Suitable for college undergraduate students or educators that are either interested in learning about cyber-related mathematics or intend to perform research within the cyber domain. The book may also appeal to practitioners within the commercial or government industry sectors. Most national and international venues for collaboration and discussion on cyber matters have focused primarily on the topics of law, policy, strategy, and technology. This book is among the first to address the underpinning mathematics.
Mathematics of Economics and Business
by Frank Werner Yuri N. SotskovFor all students who wish to understand current economic and business literature, knowledge of mathematical methods has become a prerequisite. Clear and concise, with precise definitions and theorems, Werner and Sotskov cover all the major topics required to gain a firm grounding in this subject including sequences, series, applications in finance, functions, differentiations, differentials and difference equations, optimizations with and without constraints, integrations and much more. Containing exercises and worked examples, precise definitions and theorems as well as economic applications, this book provides the reader with a comprehensive understanding of the mathematical models and tools used in both economics and business.
Mathematics of Finance: An Intuitive Introduction (Undergraduate Texts in Mathematics)
by Donald G. SaariThis textbook invites the reader to develop a holistic grounding in mathematical finance, where concepts and intuition play as important a role as powerful mathematical tools. Financial interactions are characterized by a vast amount of data and uncertainty; navigating the inherent dangers and hidden opportunities requires a keen understanding of what techniques to apply and when. By exploring the conceptual foundations of options pricing, the author equips readers to choose their tools with a critical eye and adapt to emerging challenges. Introducing the basics of gambles through realistic scenarios, the text goes on to build the core financial techniques of Puts, Calls, hedging, and arbitrage. Chapters on modeling and probability lead into the centerpiece: the Black–Scholes equation. Omitting the mechanics of solving Black–Scholes itself, the presentation instead focuses on an in-depth analysis of its derivation and solutions. Advanced topics that follow include the Greeks, American options, and embellishments. Throughout, the author presents topics in an engaging conversational style. “Intuition breaks” frequently prompt students to set aside mathematical details and think critically about the relevance of tools in context. Mathematics of Finance is ideal for undergraduates from a variety of backgrounds, including mathematics, economics, statistics, data science, and computer science. Students should have experience with the standard calculus sequence, as well as a familiarity with differential equations and probability. No financial expertise is assumed of student or instructor; in fact, the text’s deep connection to mathematical ideas makes it suitable for a math capstone course. A complete set of the author’s lecture videos is available on YouTube, providing a comprehensive supplementary resource for a course or independent study.
Mathematics of Investment and Credit
by Samuel A. BrovermanInterest rate measurement -- Valuation of annuities -- Loan repayment -- Bond valuation -- Measuring the rate of return of an investment -- The term structure of interest rates -- Cashflow duration and immunization -- Additional topics in finance and investment -- Forwards, futures, swaps, and options -- Answers to selected exercises -- Bibliography -- Index
Mathematics of the Financial Markets
by Alain RuttiensThe book aims to prioritise what needs mastering and presents the content in the most understandable, concise and pedagogical way illustrated by real market examples. Given the variety and the complexity of the materials the book covers, the author sorts through a vast array of topics in a subjective way, relying upon more than twenty years of experience as a market practitioner. The book only requires the reader to be knowledgeable in the basics of algebra and statistics.The Mathematical formulae are only fully proven when the proof brings some useful insight. These formulae are translated from algebra into plain English to aid understanding as the vast majority of practitioners involved in the financial markets are not required to compute or calculate prices or sensitivities themselves as they have access to data providers. Thus, the intention of this book is for the practitioner to gain a deeper understanding of these calculations, both for a safety reason - it is better to understand what is behind the data we manipulate - and secondly being able to appreciate the magnitude of the prices we are confronted with and being able to draft a rough calculation, aside of the market data.The author has avoided excessive formalism where possible. Formalism is securing the outputs of research, but may, in other circumstances, burden the understanding by non-mathematicians; an example of this case is in the chapter dedicated to the basis of stochastic calculus.The book is divided into two parts:- First, the deterministic world, starting from the yield curve building and related calculations (spot rates, forward rates, discrete versus continuous compounding, etc.), and continuing with spot instruments valuation (short term rates, bonds, currencies and stocks) and forward instruments valuation (forward forex, FRAs and variants, swaps & futures);- Second, the probabilistic world, starting with the basis of stochastic calculus and the alternative approach of ARMA to GARCH, and continuing with derivative pricing: options, second generation options, volatility, credit derivatives;- This second part is completed by a chapter dedicated to market performance & risk measures, and a chapter widening the scope of quantitative models beyond the Gaussian hypothesis and evidencing the potential troubles linked to derivative pricing models.
Mathematics to the Rescue of Democracy: What does Voting Mean and How can it be Improved?
by Paolo SerafiniThis book explains, in a straightforward way, the foundations upon which electoral techniques are based in order to shed new light on what we actually do when we vote. The intention is to highlight the fact that no matter how an electoral system has been designed, and regardless of the intentions of those who devised the system, there will be goals that are impossible to achieve but also opportunities for improving the situation in an informed way. While detailed descriptions of electoral systems are not provided, many references are made to current or past situations, both as examples and to underline particular problems and shortcomings. In addition, a new voting method that avoids the many paradoxes of voting theory is described in detail. While some knowledge of mathematics is required in order to gain the most from the book, every effort has been made to ensure that the subject matter is easily accessible for non-mathematicians, too. In short, this is a book for anyone who wants to understand the meaning of voting.
Mathematics, Administrative and Economic Activities in Ancient Worlds (Why the Sciences of the Ancient World Matter #5)
by Karine Chemla Cécile MichelThis book focuses on the ancient Near East, early imperial China, South-East Asia, and medieval Europe, shedding light on mathematical knowledge and practices documented by sources relating to the administrative and economic activities of officials, merchants and other actors. It compares these to mathematical texts produced in related school contexts or reflecting the pursuit of mathematics for its own sake to reveal the diversity of mathematical practices in each of these geographical areas of the ancient world. Based on case studies from various periods and political, economic and social contexts, it explores how, in each part of the world discussed, it is possible to identify and describe the different cultures of quantification and computation as well as their points of contact. The thirteen chapters draw on a wide variety of texts from ancient Near East, China, South-East Asia and medieval Europe, which are analyzed by researchers from various fields, including mathematics, history, philology, archaeology and economics. The book will appeal to historians of science, economists and institutional historians of the ancient and medieval world, and also to Assyriologists, Indologists, Sinologists and experts on medieval Europe.
Mathematics: For Business and Personal Finance
by Temoleon G. Rousos Walter H. LangeNew Mathematics for Business and Personal Finance is the only text on the market that offers teachers point-of-use online professional development, interactive online help for students and the option of purchasing an interactive online text with a grade book. As always, we have maintained our exclusive coverage of key core academic content, and our research-based reading strategies. When it comes to helping students and making life easier for teachers, Glencoe is number one!.
Mathematics: The Easy Way to Learn Maths
by Hugh Neill Trevor JohnsonMaths does not have to be difficult. This book, complete with exercises and answers, forms a course which will take you from beginner or intermediate level to being a confident mathematician. This book includes: simple step-by-step explanations, to help you grasp new topics or those that have previously confused you; practice questions throughout, to help you embed your learning and improve your confidence; and end of chapter summaries, to help you remember the key points you've learned - all in one great-value book, so you don't need any separate workbooks or coursebooks.Chapters include: number; angles; fractions; two-dimensional shapes; decimals; statisticsl directed numbers; graphs; measurement; perimeter and area; algebraic expressions; approximations; equations; percentages; formulae; circles; probability; three-dimensional shapes; ratio and proportion; pythagoras' theorem and trigonometry; indices and standard form.ABOUT THE SERIESThe Complete Introduction series from Teach Yourself is the ultimate one-stop guide for anyone wanting a comprehensive and accessible entry point into subjects as diverse as philosophy, mathematics, psychology, Shakespeare and practical electronics. Loved by students and perfect for general readers who simply want to learn more about the world around them, these books are your first choice for discovering something new.
Mathematik für Manager: Erfolg durch Mathematisches Denken
by Ulrich HolzbaurDieses Werk befasst sich mit dem mathematischen Denken als Erfolgsfaktor für das Management. Er leitet zur Nutzung einfacher und fortgeschrittener mathematischer Methoden, zum Verständnis mathematischer Modelle und zum mathematischen Denken generell an. Im Mittelpunkt stehen die fünf wichtigen mathematischen Aspekte des Managements: Struktur und Zusammenhang, Zahl und Dimension, Zufall und Wahrscheinlichkeit, Dynamik und Zeit sowie Ziel und Entscheidung. Diese werden mit den Feldern der klassischen Mathematik verknüpft. Zwei umfangreichere Beispiele runden das Ganze ab.
Mathematik für Wirtschaftswissenschaftler für Dummies (Für Dummies)
by Mark Ryan Mary Jane Sterling Michelle Rose Gilman Christopher Burger Krystle Rose Forseth Timm Sigg Jürgen Faik Deborah RumseySuchen Sie eine verständliche und anschauliche Einführung in die Teile der Mathematik, die Sie als Student der Wirtschaftswissenschaften beherrschen müssen? Jürgen Faik frischt zunächst Ihr Schulwissen auf und begleitet Sie dann in gewohnt verständlicher und anschaulicher Dummies-Manier durch Analysis, Lineare Algebra, Statistik und Finanzmathematik. Übungen am Ende jedes Kapitels helfen Ihnen, das Gelernte gleich anzuwenden. Schon bald werden Sie mit Leichtigkeit Integrale berechnen, Gleichungssysteme lösen und Zinseszinsen berechnen.
Mathematik für Wirtschaftswissenschaftler: In 60 fachübergreifenden Vorlesungen präsentiert (Studienbücher Wirtschaftsmathematik)
by Vladimir ShikhmanDieses Lehrbuch präsentiert in 60 Kapiteln (Vorlesungseinheiten) eine Fülle interessanter ökonomischer Problemstellungen, die mathematisch ausführlich unterlegt werden. Die Gliederung ist sehr benutzerfreundlich sowohl für Studierende als auch für Lehrende und eignet sich gut für einen kompletten Vorlesungszyklus. Jedes Kapitel, das einer anderthalbstündigen Vorlesung entspricht, ist aufgeteilt in die drei Abschnitte Ökonomische Fragestellung – Mathematisches Modell – Schlussfolgerungen und Fazit. Die Beispiele kommen aus wichtigen Teilgebieten der Wirtschaftswissenschaften wie z.B. Mikro- und Makroökonomie, Marketing, Finanzwesen, Big Data Analytics, Controlling, Ökonometrie, internationaler Handel, Wirtschaftspolitik, Kundenmanagement. Das didaktische Konzept fußt auf dem Prinzip der Interdisziplinarität. Das Wechselspiel wirtschaftswissenschaftlicher Fragestellungen und mathematischer Methoden zeichnet dieses Lehrbuch in besonderer Weise aus. Zur primären Zielgruppe gehören angehende Wirtschaftswissenschaftler und -informatiker, die sich eine mathematische Grundausbildung aneignen möchten. Wegen der Vielzahl der betrachteten Modelle ist das Buch auch für ökonomisch interessierte Mathematiker und generell für mathematisch-ökonomisch Interessierte sehr nützlich.
Mathematik für Ökonomen: Ökonomische Anwendungen der linearen Algebra und Analysis mit Scilab
by Riza Öztürk Wolfgang KohnIn diesem Buch finden Studierende aller wirtschaftswissenschaftlichen Studiengänge eine verständliche Einführung in die für sie relevanten mathematischen Methoden. Der Text ist in drei Teile gegliedert:GrundlagenLineare Algebra mit den Schwerpunkten lineare Gleichungssysteme und lineare OptimierungAnalysis mit den Schwerpunkten Finanzmathematik und Differentialrechnung Neben einer praxisnahen Motivation der Inhalte bietet das Buch auch zahlreiche Beispiele und Übungen mit Lösungen. Außerdem wird die klassische Anwendung der mathematischen Verfahren durch die Anwendung des Open-Source-Programms Scilab ergänzt und veranschaulicht. Die einzelnen Schritte dazu sind im Text beschrieben, was einen leichten Zugang zu dem Programm ermöglicht. Die 4. überarbeitete und ergänzte Auflage ist nun um einen Abschnitt über ganzzahlige lineare Optimierung ergänzt.
Mathematik im Betrieb: Praxisbezogene Einführung mit Beispielen
by Heinrich Holland Doris HollandDieses bewährte, pragmatisch orientierte Standardwerk deckt den gesamten Stoff der Vorlesung Wirtschaftsmathematik im Bachelorstudium einschließlich der Finanzmathematik ab. Im Vordergrund stehen die tatsächlichen Anwendungsmöglichkeiten der Mathematik in den Wirtschaftswissenschaften, nicht die mathematische Eleganz und Beweisführung. Übersichtlich strukturierte Schemata erleichtern die Umsetzung ökonomischer Verfahren. Schritt für Schritt wird der Stoff anhand vieler ökonomischer Beispiele erklärt. Zahlreiche zusätzliche Musteraufgaben erleichtern das selbstständige Erarbeiten. Eine umfassende Fallstudie wiederholt den behandelten Stoff anhand einer betriebswirtschaftlichen Unternehmenssituation. In einem Kapitel mit Musterklausuren kann geübt und der Wissensstand anhand der mitgelieferten Lösungen überprüft werden. Zusätzliche Aufgaben per App: Käufer des Buches können die Springer Nature Flashcards-App kostenlos herunterladen und exklusiv mit über 100 Aufgabenstellungen inklusive "Eselsbrücken" und ausführlichen Erklärungen zur Lösung ihr Wissen prüfen.
Mathematische Optimierung: Eine Einführung in die kontinuierliche Optimierung mit Beispielen (essentials)
by Martin PieperDas essential gibt Bachelor- und Masterstudierenden der Ingenieur- und Naturwissenschaften sowie der Wirtschaftswissenschaften eine kurze, anschauliche Einf#65533;hrung in die mathematische Optimierung. Anhand zahlreicher Beispiele werden die Grundbegriffe und Kernaussagen der kontinuierlichen Optimierung erl#65533;utert und angewendet. Es werden sowohl Optimierungsprobleme mit und ohne Nebenbedingungen als auch mehrkriterielle Probleme mit mehr als einer Zielfunktion behandelt.
Matheuristics: Algorithms and Implementations (EURO Advanced Tutorials on Operational Research)
by Thomas Stützle Vittorio Maniezzo Marco Antonio BoschettiThis book is the first comprehensive tutorial on matheuristics. Matheuristics are based on mathematical extensions of previously known heuristics, mainly metaheuristics, and on original, area-specific approaches. This tutorial provides a detailed discussion of both contributions, presenting the pseudocodes of over 40 algorithms, abundant literature references, and for each case a step-by-step description of a sample run on a common Generalized Assignment Problem example. C++ source codes of all algorithms are available in an associated SW repository.
Matriarch: Beyoncé’s mother tells her story for the first time ever
by Tina KnowlesTo understand the icons Beyoncé, Solange and Kelly, you have to understand where they came from... A deeply personal and revelatory memoir by Ms Tina Knowles - as you've never seen her before.Tina Knowles, the mother of icons Beyoncé Knowles-Carter, Solange Knowles and bonus daughter Kelly Rowland, is known the world over as a Matriarch with a capital M: the woman who raised and inspired some of the great artists of our time. But this story is about so much more than that.For the first time ever, Tina Knowles shares her remarkable story in Matriarch. A life of grief and tragedy, love and heartbreak, the nurturing of her superstar daughters - and the perseverance and audacity it takes for a girl from Galveston, Texas to change the world.This intimate and revealing memoir is a multigenerational family saga and a celebration of the wisdom that women, mothers and daughters pass on to each other across generations.A glorious chronicle of a life like none other and a testament to the world-changing power of Black motherhood.
Matriarch: Beyoncé’s mother tells her story for the first time ever
by Tina KnowlesTo understand the icons Beyoncé, Solange and Kelly, you have to understand where they came from... A deeply personal and revelatory memoir by Ms Tina Knowles - as you've never seen her before.Tina Knowles, the mother of icons Beyoncé Knowles-Carter, Solange Knowles and bonus daughter Kelly Rowland, is known the world over as a Matriarch with a capital M: the woman who raised and inspired some of the great artists of our time. But this story is about so much more than that.For the first time ever, Tina Knowles shares her remarkable story in Matriarch. A life of grief and tragedy, love and heartbreak, the nurturing of her superstar daughters - and the perseverance and audacity it takes for a girl from Galveston, Texas to change the world.This intimate and revealing memoir is a multigenerational family saga and a celebration of the wisdom that women, mothers and daughters pass on to each other across generations.A glorious chronicle of a life like none other and a testament to the world-changing power of Black motherhood.
Matrix Capital Management (A)
by David Lane Malcolm P. BakerBen Balbale, a partner at hedge fund Matrix Capital, must decide whether to exit their investment in Rovi Corporation, a company with a diverse portfolio of patents used primarily for digital interactive guides. Rovi's shares are up over 50% from the time Balbale initiated a position in the middle of 2009.