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This book is for students who did not follow mathematics through to the end of their school careers, and graduates and professionals who are looking for a refresher course. This new edition contains many new problems and also has associated spreadsheets designed to improve students' understanding. These spreadsheets can also be used to solve many of the problems students are likely to encounter during the remainder of their geological careers. The book aims to teach simple mathematics using geological examples to illustrate mathematical ideas. This approach emphasizes the relevance of mathematics to geology, helps to motivate the reader and gives examples of mathematical concepts in a context familiar to the reader. With an increasing use of computers and quantitative methods in all aspects of geology it is vital that geologists be seen as numerate as their colleagues in other physical sciences. The book begins by discussing basic tools such as the use of symbols to represent geological quantities and the use of scientific notation for expressing very large and very small numbers. Simple functional relationships between geological variables are then covered (for example, straight lines, polynomials, logarithms) followed by chapters on algebraic manipulations. The mid-part of the book is devoted to trigonometry (including an introduction to vectors) and statistics. The last two chapters give an introduction to differential and integral calculus. The book is prepared with a large number of worked examples and problems for the students to attempt themselves. Answers to all the questions are given at the end of the book. Получить ссылку |
Finance, Economics, and Mathematics
Автор: Robert Merton C.
Год издания:
The compiled works of the man behind the evolution of quantitative finance Finance, Economics, and Mathematics is the complete Vasicek reference work, including published and unpublished work and interviews with the man himself. The name Oldrich A. Vasicek is synonymous with cutting-edge research in the finance fields, and this book comes straight from the source to bring you the undiluted mother lode of quant wisdom from one of the founders of the field. From his early work in yield curve dynamics, to the mean-reverting short-rate model, to his thoughts on derivatives pricing, to his work on credit risk, to his most recent research on the economics of interest rates, this book represents the life's work of an industry leader. Going beyond the papers, you'll also find the more personal side inspirational as Vasicek talks about the academics and professionals who made lasting impressions and collaborated, debated, and ultimately helped spawn some of his greatest thinking. Oldrich Vasicek has won virtually every important award and prize for his groundbreaking research in quantitative finance. You've followed his work for years; this book puts it all in a single volume to give you the definitive reference you'll turn to again and again. Explore Vasicek's insights on topics he helped create Discover his research and ideas that have gone unpublished—until now Understand yield curves and the Vasicek model from the source himself Gain a reference collection of some of the most influential work in quantitative finance Vasicek's research is the foundation of one of the most important innovations in finance. Quants around the world have been influenced by his ideas, and his status as thought leader is cemented in the annals of finance history. Finance, Economics, and Mathematics is the definitive Vasicek reference every finance professional needs.
Mindset Mathematics. Visualizing and Investigating Big Ideas, Grade 4
Автор: Джо Боулер
Год издания:
Engage students in mathematics using growth mindset techniques The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the fourth-grade level through visualization, play, and investigation. During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same message—that they want to incorporate more brain science into their math instruction, but they need guidance in the techniques that work best to get across the concepts they needed to teach. So the authors designed Mindset Mathematics around the principle of active student engagement, with tasks that reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to improve student test scores, and more importantly change their relationship with mathematics and start believing in their own potential. The tasks in Mindset Mathematics reflect the lessons from brain science that: There is no such thing as a math person – anyone can learn mathematics to high levels. Mistakes, struggle and challenge are the most important times for brain growth. Speed is unimportant in mathematics. Mathematics is a visual and beautiful subject, and our brains want to think visually about mathematics. With engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about mathematics, Mindset Mathematics is organized around nine big ideas which emphasize the connections within the Common Core State Standards (CCSS) and can be used with any current curriculum.
Essential Mathematics for Market Risk Management
Автор: Simon Hubbert
Год издания:
Everything you need to know in order to manage risk effectively within your organization You cannot afford to ignore the explosion in mathematical finance in your quest to remain competitive. This exciting branch of mathematics has very direct practical implications: when a new model is tested and implemented it can have an immediate impact on the financial environment. With risk management top of the agenda for many organizations, this book is essential reading for getting to grips with the mathematical story behind the subject of financial risk management. It will take you on a journey—from the early ideas of risk quantification up to today's sophisticated models and approaches to business risk management. To help you investigate the most up-to-date, pioneering developments in modern risk management, the book presents statistical theories and shows you how to put statistical tools into action to investigate areas such as the design of mathematical models for financial volatility or calculating the value at risk for an investment portfolio. Respected academic author Simon Hubbert is the youngest director of a financial engineering program in the U.K. He brings his industry experience to his practical approach to risk analysis Captures the essential mathematical tools needed to explore many common risk management problems Website with model simulations and source code enables you to put models of risk management into practice Plunges into the world of high-risk finance and examines the crucial relationship between the risk and the potential reward of holding a portfolio of risky financial assets This book is your one-stop-shop for effective risk management.
The Problem with Math Is English. A Language-Focused Approach to Helping All Students Develop a Deeper Understanding of Mathematics
Автор: Concepcion Molina
Год издания:
Teaching K-12 math becomes an easier task when everyone understands the language, symbolism, and representation of math concepts Published in partnership with SEDL, The Problem with Math Is English illustrates how students often understand fundamental mathematical concepts at a superficial level. Written to inspire ?aha? moments, this book enables teachers to help students identify and comprehend the nuances and true meaning of math concepts by exploring them through the lenses of language and symbolism, delving into such essential topics as multiplication, division, fractions, place value, proportional reasoning, graphs, slope, order of operations, and the distributive property. Offers a new way to approach teaching math content in a way that will improve how all students, and especially English language learners, understand math Emphasizes major attributes of conceptual understanding in mathematics, including simple yet deep definitions of key terms, connections among key topics, and insightful interpretation This important new book fills a gap in math education by illustrating how a deeper knowledge of math concepts can be developed in all students through a focus on language and symbolism.
The Number That Killed Us. A Story of Modern Banking, Flawed Mathematics, and a Big Financial Crisis
Автор: Pablo Triana
Год издания:
A critical look at the risk measurement tool that has repeatedly hurt the financial world The Number That Killed Us finally tells the «greatest story never told»: how a mysterious financial risk measurement model has ruled the world for the past two decades and how it has repeatedly, and severely, caused market, economic, and social turmoil. This model was the key factor behind the unleashing of the cataclysmic credit crisis that erupted in 2007 and which the effects are still being felt around the world. The Number That Killed Us is the first and only book to thoroughly explain this hitherto-uncovered phenomenon, making it the key reference for truly understanding why the malaise took place. The very number financial institutions and regulators use to measure risk (Vale at Risk/VaR) has masked it, allowing firms to leverage up their speculative bets to unimaginable levels. VaR sanctioned and allowed the monstrously geared toxic punts that sank Wall Street, and the world, during the latest crisis. We can confidently say that VaR was the culprit. In The Number That Killed Us, derivatives expert Pablo Triana takes you through the development of VaR and shows how its inevitable structural flaws allowed banks to take on even greater risks. The precise role of VaR in igniting the latest crisis is thoroughly covered, including in-depth analysis of how and why regulators, by falling in love with the tool, condemned us to chaos. Uncritically embraced worldwide for way too long, VaR is, in the face of such destruction, just starting to be examined as problematic, and in this book Triana (long an open critic of the tool's role in encouraging mayhem) uncovers exactly why it makes our financial world a more dangerous place. If we care for our safety, we should let VaR go. Contains controversial analysis of the hotly debated risk metric Value at Risk (VaR) and its central role in the credit crisis Denounces the role of regulators and academics in forcing the presence of the inevitably malfunctioning in financeland Describes how bonus-hungry traders can use VaR as an alibi to take on the most reckless of bets Reveals how the most recent financial crisis will simply repeat itself if the problems behind VaR are not unmasked Pablo Triana is also the author of Lecturing Birds on Flying The very risk measurement tool that was intended to contain risk allowed financial firms to blindly take on more. The model that was supposed to save us condemned us to misery. The Number That Killed Us reveals how this has happened and what needs to be done to correct the situation.
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