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Introduction to Ordinary Differential Equations

The Fourth Edition of the best-selling text on the basic concepts, theory, methods, and applications of ordinary differential equations retains the clear, detailed style of the first three editions. Includes new material on matrix methods, numerical methods, the Laplace transform, and an appendix on polynomial equations. Stresses fundamental methods, and features traditional applications and brief introductions to the underlying theory.

The Fourth Edition of the best-selling text on the basic concepts, theory, methods, and applications of ordinary differential equations retains the clear, detailed style of the first three editions.

How to Write a Grant Proposal

Step-by-step guidance on how to write effective grants that get the funding you need. Complete with examples of fully-completed proposals, you'll also get an easy-to-use companion website containing guide sheets and templates that can be easily downloaded, customized, and printed. The authors provide examples of completed proposals and numerous case studies to demonstrate how the grant-seeking process typically works. Order your copy today!

How to Write a Grant Application

This concise guide covers the important angles of your grant application, whether for a health research project or personal training programme, and will help you be among the successful applicants. The author, a reviewer for grant funding organisations and internationally respected research scientist, gives you the benefit of his experience from both sides of the process in this easy-to-use, readable guide. The book takes you through the grant application process, explaining how to: Present the justification for the proposed project Describe the study design clearly Estimate the financial costs Understand a typical review process, and how this can influence the contents of the grant application The author provides practical advice on a range of project types (observational studies, clinical trials, laboratory experiments, and systematic reviews) to increase the chance that your application will be successful. There are also tips on what to avoid throughout the application. With generic information about application requirements, How to Write a Grant Application is ideal for healthcare professionals seeking a health services or scientific grant.

A Grammar of English on Mathematical Princibles

For the precise derivation we start with One (or Someone) is in math- teaching
where math-teaching is reduced from teaching of math by one, which is
nominalized from One teaches math (5.25). We then form: He is one (or: a person
); said one ...

The Problem with Math Is English

A Language-Focused Approach to Helping All Students Develop a Deeper Understanding of Mathematics

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.

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 ...

Linear Programming and Network Flows

This book: * Provides methods for modeling complex problems via effective algorithms on modern computers. * Presents the general theory and characteristics of optimization problems, along with effective solution algorithms. * Explores ...

An Introduction to Linear Programming and Game Theory

Praise for the Second Edition: "This is quite a well-done book: very tightly organized, better-than-average exposition, and numerous examples, illustrations, and applications." —Mathematical Reviews of the American Mathematical Society An Introduction to Linear Programming and Game Theory, Third Edition presents a rigorous, yet accessible, introduction to the theoretical concepts and computational techniques of linear programming and game theory. Now with more extensive modeling exercises and detailed integer programming examples, this book uniquely illustrates how mathematics can be used in real-world applications in the social, life, and managerial sciences, providing readers with the opportunity to develop and apply their analytical abilities when solving realistic problems. This Third Edition addresses various new topics and improvements in the field of mathematical programming, and it also presents two software programs, LP Assistant and the Solver add-in for Microsoft Office Excel, for solving linear programming problems. LP Assistant, developed by coauthor Gerard Keough, allows readers to perform the basic steps of the algorithms provided in the book and is freely available via the book's related Web site. The use of the sensitivity analysis report and integer programming algorithm from the Solver add-in for Microsoft Office Excel is introduced so readers can solve the book's linear and integer programming problems. A detailed appendix contains instructions for the use of both applications. Additional features of the Third Edition include: A discussion of sensitivity analysis for the two-variable problem, along with new examples demonstrating integer programming, non-linear programming, and make vs. buy models Revised proofs and a discussion on the relevance and solution of the dual problem A section on developing an example in Data Envelopment Analysis An outline of the proof of John Nash's theorem on the existence of equilibrium strategy pairs for non-cooperative, non-zero-sum games Providing a complete mathematical development of all presented concepts and examples, Introduction to Linear Programming and Game Theory, Third Edition is an ideal text for linear programming and mathematical modeling courses at the upper-undergraduate and graduate levels. It also serves as a valuable reference for professionals who use game theory in business, economics, and management science.

In some applications of linear programming there may be a need not only to
optimize a given function under specified conditions, but also to evaluate the
effects changes in the conditions of the problem have on the optimal solution.

CFA Program Curriculum 2017 Level II

Master the practical aspects of the CFA Program Curriculum with expert instruction for the 2017 exam The same official curricula that CFA Program candidates receive with program registration is now publicly available for purchase. CFA Program Curriculum 2017 Level II, Volumes 1-6 provides the complete Level II Curriculum for the 2017 exam, with practical instruction on the Candidate Body of Knowledge (CBOK) and how it is applied, including expert guidance on incorporating concepts into practice. Level II focuses on complex analysis with an emphasis on asset valuation, and is designed to help you use investment concepts appropriately in situations analysts commonly face. Coverage includes ethical and professional standards, quantitative analysis, economics, financial reporting and analysis, corporate finance, equities, fixed income, derivatives, alternative investments, and portfolio management organized into individual study sessions with clearly defined Learning Outcome Statements. Charts, graphs, figures, diagrams, and financial statements illustrate complex concepts to facilitate retention, and practice questions with answers allow you to gauge your understanding while reinforcing important concepts. While Level I introduced you to basic foundational investment skills, Level II requires more complex techniques and a strong grasp of valuation methods. This set dives deep into practical application, explaining complex topics to help you understand and retain critical concepts and processes. Incorporate analysis skills into case evaluations Master complex calculations and quantitative techniques Understand the international standards used for valuation and analysis Gauge your skills and understanding against each Learning Outcome Statement CFA Institute promotes the highest standards of ethics, education, and professional excellence among investment professionals. The CFA Program Curriculum guides you through the breadth of knowledge required to uphold these standards. The three levels of the program build on each other. Level I provides foundational knowledge and teaches the use of investment tools; Level II focuses on application of concepts and analysis, particularly in the valuation of assets; and Level III builds toward synthesis across topics with an emphasis on portfolio management.

The scatter plot creates a visual picture of the relationship between two variables,
while the correlation coefficient quantifies the existence of any linear relationship.
Large absolute values of the correlation coefficient indicate strong linear ...

Deterministic Operations Research

Models and Methods in Linear Optimization

Uniquely blends mathematical theory and algorithm design for understanding and modeling real-world problems Optimization modeling and algorithms are key components to problem-solving across various fields of research, from operations research and mathematics to computer science and engineering. Addressing the importance of the algorithm design process. Deterministic Operations Research focuses on the design of solution methods for both continuous and discrete linear optimization problems. The result is a clear-cut resource for understanding three cornerstones of deterministic operations research: modeling real-world problems as linear optimization problem; designing the necessary algorithms to solve these problems; and using mathematical theory to justify algorithmic development. Treating real-world examples as mathematical problems, the author begins with an introduction to operations research and optimization modeling that includes applications form sports scheduling an the airline industry. Subsequent chapters discuss algorithm design for continuous linear optimization problems, covering topics such as convexity. Farkas’ Lemma, and the study of polyhedral before culminating in a discussion of the Simplex Method. The book also addresses linear programming duality theory and its use in algorithm design as well as the Dual Simplex Method. Dantzig-Wolfe decomposition, and a primal-dual interior point algorithm. The final chapters present network optimization and integer programming problems, highlighting various specialized topics including label-correcting algorithms for the shortest path problem, preprocessing and probing in integer programming, lifting of valid inequalities, and branch and cut algorithms. Concepts and approaches are introduced by outlining examples that demonstrate and motivate theoretical concepts. The accessible presentation of advanced ideas makes core aspects easy to understand and encourages readers to understand how to think about the problem, not just what to think. Relevant historical summaries can be found throughout the book, and each chapter is designed as the continuation of the “story” of how to both model and solve optimization problems by using the specific problems-linear and integer programs-as guides. The book’s various examples are accompanied by the appropriate models and calculations, and a related Web site features these models along with Maple™ and MATLAB® content for the discussed calculations. Thoroughly class-tested to ensure a straightforward, hands-on approach, Deterministic Operations Research is an excellent book for operations research of linear optimization courses at the upper-undergraduate and graduate levels. It also serves as an insightful reference for individuals working in the fields of mathematics, engineering, computer science, and operations research who use and design algorithms to solve problem in their everyday work.

In that case, when a problem is that difficult or intractable, operations researchers
often try to develop heuristics that find a reasonable solution in a short amount of
time. For stochastic problems, a “solution” is notalwayseasy tofind.

Investing in Income Properties

The Big Six Formula for Achieving Wealth in Real Estate

Create income property wealth If you think tycoons are the only ones who can make big money in commercial real estate, think again. In Investing in Income Properties: The Big Six Formula for Achieving Wealth in Real Estate, real estate guru Ken Rosen lays out the fundamentals for building real estate wealth. By adhering to the Big Six, a step-by-step formula that has enabled the author to buy and sell over $500 million in investment real estate since 1975, you can take advantage of real estate opportunities and ensure your financial future. This book explains: What is the BIG SIX formula How to find the right property Using your IRA to invest The romance of leverage Overcoming fear Real estate vs. stocks Getting the money Assembling the team How to convert rentals to condos Infinite returns Types of income properties Upside You make your money in buying Financing options T.N.T When it comes to understanding real estate investment, Investing in Income Properties stands alone for its straightforward approach and easy-to-understand explanations. It is a must-read for both beginners and seasoned pros.

This book will become the buyer's bible." —Alex Zylberglait, Senior Vice President – Investments, Senior Director, National Office and Industrial Properties Group, Marcus & Millichap "Ken Rosen once again provides a step-by-step ...