One can trace its roots to the Calculus of Variations and the work of Euler and Lagrange. This natural and reasonable approach to mathematical programming covers numerical methods for finite-dimensional optimization problems. It begins with very simple ideas progressing through more complicated concepts, concentrating on methods for both unconstrained and constrained optimization.

    

    Intuition and computational abilities are stressed. Original material on DE and multiple integrals has been expanded.

    The interviewers use the same questions year-after-year and here they are---with solutions! These questions come from all types of interviews (corporate finance, sales and trading, quant research, etc), but they are especially likely in quantitative capital markets job interviews. The questions come from all levels of interviews (undergrad, MBA, PhD), but they are especially likely if you have, or almost have, an MS or MBA. The latest edition includes over 120 non-quantitative actual interview questions, and a new section on interview technique---based partly on Dr. Crack's experiences interviewing candidates for the world's largest institutional asset manager. Dr. Crack has a PhD from MIT. He has won many teaching awards and has publications in the top academic, practitioner, and teaching journals in finance. He has degrees in Mathematics/Statistics, Finance, and Financial Economics and a diploma in Accounting/Finance. Dr. Crack taught at the university level for 20 years including four years as a front line teaching assistant for MBA students at MIT. He recently headed a quantitative active equity research team at the world's largest institutional money manager.

    For advanced crafters, this book instructs on features such as modes and functions, and teaches how to create with color, texture, and dimension. A cutting guide teaches the perfect settings to cut every type of material. A separate chapter introduces the new features of Cricut Expression™ 2 and explains how it differs from the original Expression machine. More than 50 creative projects inspire ideas for home décor, gifts, parties, cards, and scrapbook layouts.

    In this new seventh edition, the authors have streamlined the discussion by pruning older material and weaving in new developments. The result is an authoritative source on all major dimensions of Texas school law that is both well integrated and easy to read.Intended for Texas school personnel, school board members, interested attorneys, and taxpayers, the seventh edition explains what the law is and what the implications are for effective school operations. It is designed to help professional educators avoid expensive and time-consuming lawsuits by taking effective preventive action. It is an especially valuable resource for school law courses and staff development sessions.The seventh edition begins with a review of the legal structure of the Texas school system. Successive chapters address attendance and the instructional program, the education of children with special needs, employment and personnel, expression and associational rights, the role of religion in public schools, student discipline, open meetings and records, privacy, search and seizure, and legal liability under both federal and Texas law. In addition to state law, the book addresses the growing role of the federal government in school operation through such major federal legislation as the Americans with Disabilities Act, the Individuals with Disabilities Education Act, and the No Child Left Behind Act.

    This supplement will cater to the requirements of students by covering all important topics of Laplace transformation, Matrices, Numerical Methods. Further enhanced is its usability by inclusion of chapter end questions in sync with student needs. Table of contents: 1. Basic Concepts 2. An Introduction to Modeling and Qualitative Methods 3. Classification of First-Order Differential Equations 4. Separable First-Order Differential Equations 5. Exact First-order Differential Equations 6. Linear First-Order Differential Equations 7. Applications of First-Order Differential Equations 8. Linear Differential Equations: Theory of Solutions 9. Second-Order Linear Homogeneous Differential Equations with Constant Coefficients 10. nth-Order Linear Homogeneous Differential Equations with Constant Coefficients 11. The Method of Undetermined Coefficients 12. Variation of Parameters 13. Initial-Value Problems for Linear Differential Equations 14. Applications of Second-Order Linear Differential Equations 15. Matrices 16. eAt 17. Reduction of Linear Differential Equations to a System of First-Order Equations 18. Existence and Uniqueness of Solutions 19. Graphical and Numerical Methods for Solving First-Order Differential Equations 20. Further Numerical Methods for Solving First-Order Differential Equations 21. Numerical Methods for Solving Second-Order Differential Equations Via Systems 22. The Laplace Transform 23. Inverse Laplace Transforms 24. Convolutions and the Unit Step Function 25. Solutions of Linear Differential Equations with Constant Coefficients by Laplace Transforms 26. Solutions of Linear?Systems by Laplace Transforms 27. Solutions of Linear Differential Equations with Constant Coefficients by Matrix Methods 28. Power Series Solutions of Linear Differential Equations with Variable Coefficients 29. Special Functions 30. Series Solutions N

    A practical resource for financial professionals and students alike, Risk Management and Financial Institutions, Third Edition explains all aspects of financial risk as well as the way financial institutions are regulated, to help readers better understand financial markets and potential dangers.Fully revised and updated, this new edition features coverage of Basel 2.5, Basel III and Dodd-Frank as well as expanded sections on counterparty credit risk, central clearing, and collateralization. In addition, end-of-chapter practice problems and a website featuring supplemental materials designed to provide a more comprehensive learning experience make this the ultimate learning resource. Written by acclaimed risk management expert, John Hull, Risk Management and Financial Institutions is the only book you need to understand--and respond to--financial risk.The new edition of the financial risk management bestseller Describes the activities of different types of financial institutions, explains how they are regulated, and covers market risk, credit risk, operational risk, liquidity risk, and model risk Features new coverage of Basel III, Dodd-Frank, counterparty credit risk, central clearing, collateralization, and much more Provides readers with access to a supplementary website offering software and unique learning aids Author John Hull is one of the most respected authorities on financial risk management A timely update to the definitive resource on risk in the financial system, Risk Management and Financial Institutions + Web Site, Third Edition is an indispensable resource from internationally renowned expert John Hull.

    A comprehensive introduction to the subject, this book shows in detail how such problems can be solved numerically with great efficiency. The focus is on recognizing convex optimization problems and then finding the most appropriate technique for solving them. The text contains many worked examples and homework exercises and will appeal to students, researchers and practitioners in fields such as engineering, computer science, mathematics, statistics, finance, and economics.

    The Clay Mathematics Institute is offering a prize of $1 million to anyone who can discover a general solution to the problem. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The key to the conjecture lies in elliptic curves, which are cubic equations in two variables. These equations may appear simple, yet they arise from some very deep--and often very mystifying--mathematical ideas. Using only basic algebra and calculus while presenting numerous eye-opening examples, Ash and Gross make these ideas accessible to general readers, and in the process venture to the very frontiers of modern mathematics. Along the way, they give an informative and entertaining introduction to some of the most profound discoveries of the last three centuries in algebraic geometry, abstract algebra, and number theory. They demonstrate how mathematics grows more abstract to tackle ever more challenging problems, and how each new generation of mathematicians builds on the accomplishments of those who preceded them. Ash and Gross fully explain how the Birch and Swinnerton-Dyer Conjecture sheds light on the number theory of elliptic curves, and how it provides a beautiful and startling connection between two very different objects arising from an elliptic curve, one based on calculus, the other on algebra.

    Mathematical concepts and computational problems are motivated by applications in computer science. The reader learns by "doing," writing programs to implement the mathematical concepts and using them to carry out tasks and explore the applications. Examples include: error-correcting codes, transformations in graphics, face detection, encryption and secret-sharing, integer factoring, removing perspective from an image, PageRank (Google's ranking algorithm), and cancer detection from cell features. A companion web site, codingthematrix.com provides data and support code. Most of the assignments can be auto-graded online. Over two hundred illustrations, including a selection of relevant "xkcd" comics. Chapters: "The Function," "The Field," "The Vector," "The Vector Space," "The Matrix," "The Basis," "Dimension," "Gaussian Elimination," "The Inner Product," "Special Bases," "The Singular Value Decomposition," "The Eigenvector," "The Linear Program"

    This e-book is a completely new way to learn Brazilian Portuguese vocabulary fast - and for free! Start speaking Brazilian Portuguese in minutes with the powerful learning methods you will master in this book.The vocabulary words you’ll find in Learn BrazilianPortuguese - Word Power 101 were hand selected by our Brazilian Portuguese language teachers as the top 101 most frequently used words in the Brazilian Portuguese language. With each entry, you’ll see the word and a vibrant image to help remember the meaning. You’ll hear the word (separate free download) to master the pronunciation. Then you’ll see how the word is actually used in everyday speech with sample sentences and phrases. Learning Brazilian Portuguese vocabulary has never been easier!In this book, you’ll get: - 101 of the most frequently used Brazilian Portuguese vocabulary words - Audio with authentic native Brazilian Portuguese pronunciation *Supplementary mp3 audio files are a separate download - Vibrant photos and images to help memorization - Useful and practical sample sentences and phrases Purchase Learn BrazilianPortuguese - Word Power 101 today to start mastering Brazilian Portuguese vocabulary in the fastest, easiest and most fun way possible!

    It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.

    In the modern experimentalist paradigm, these techniques address clear causal questions such as: Do smaller classes increase learning? Should wife batterers be arrested? How much does education raise wages? Mostly Harmless Econometrics shows how the basic tools of applied econometrics allow the data to speak.In addition to econometric essentials, Mostly Harmless Econometrics covers important new extensions--regression-discontinuity designs and quantile regression--as well as how to get standard errors right. Joshua Angrist and Jorn-Steffen Pischke explain why fancier econometric techniques are typically unnecessary and even dangerous. The applied econometric methods emphasized in this book are easy to use and relevant for many areas of contemporary social science.An irreverent review of econometric essentials A focus on tools that applied researchers use most Chapters on regression-discontinuity designs, quantile regression, and standard errors Many empirical examples A clear and concise resource with wide applications

    Or the "Phantom of Fine Hall," a figure many students had seen shuffling around the corridors of the math and physics building wearing purple sneakers and writing numerology treatises on the blackboards. The Phantom was John Nash, one of the most brilliant mathematicians of his generation, who had spiraled into schizophrenia in the 1950s. His most important work had been in game theory, which by the 1980s was underpinning a large part of economics. When the Nobel Prize committee began debating a prize for game theory, Nash's name inevitably came up—only to be dismissed, since the prize clearly could not go to a madman. But in 1994 Nash, in remission from schizophrenia, shared the Nobel Prize in economics for work done some 45 years previously.Economist and journalist Sylvia Nasar has written a biography of Nash that looks at all sides of his life. She gives an intelligent, understandable exposition of his mathematical ideas and a picture of schizophrenia that is evocative but decidedly unromantic. Her story of the machinations behind Nash's Nobel is fascinating and one of very few such accounts available in print (the CIA could learn a thing or two from the Nobel committees).