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"Advanced Calculus is intended as a text for courses that furnish the backbone of the student's undergraduate education in mathematical analysis. The goal is to rigorously present the fundamental concepts within the context of illuminating examples and stimulating exercises. This book is self-contained and starts with the creation of basic tools using the completeness axiom. The continuity, differentiability, integrability, and power series representation properties of functions of a single variable are established. The next few chapters describe the topological and metric properties of Euclidean space. These are the basis of a rigorous treatment of differential calculus (including the Implicit Function Theorem and Lagrange Multipliers) for mappings between Euclidean spaces and integration for functions of several real variables."--pub. desc.
In recent years, production decline-curve analysis has become the most widely used tool in the industry for oil and gas reservoir production analysis. However, most curve analysis is done by computer today, promoting a "black-box" approach to engineering and leaving engineers with little background in the fundamentals of decline analysis. Advanced Production Decline Analysis and Application starts from the basic concept of advanced production decline analysis, and thoroughly discusses several decline methods, such as Arps, Fetkovich, Blasingame, Agarwal-Gardner, NPI, transient, long linear flow, and FMB. A practical systematic introduction to each method helps the reservoir engineer understand the physical and mathematical models, solve the type curves and match up analysis, analyze the processes and examples, and reconstruct all the examples by hand, giving way to master the fundamentals behind the software. An appendix explains the nomenclature and major equations, and as an added bonus, online computer programs are available for download. - Understand the most comprehensive and current list of decline methods, including Arps, Fetkovich, Blasingame, and Agarwal-Gardner - Gain expert knowledge with principles, processes, real-world cases and field examples - Includes online downloadable computer programs on Blasingame decline type curves and normalized pseudo-pressure of gas wells
Advanced Analysis of Motor Development explores how research is conducted in testing major issues and questions in motor development. It also looks at the evolution of research in the field, its current status, and possible future directions. This text is one of the few to examine motor development models and theories analytically while providing a context for advanced students in motor development so they can understand current and classic research in the field. Traditionally, graduate study in motor development has been approached through a compilation of readings from various sources. This text meets the need for in-depth study in a more cohesive manner by presenting parallels and highlighting relationships among research studies that independent readings might not provide. In addition, Advanced Analysis of Motor Development builds a foundation in the theories and approaches in the field and demonstrates how they drive contemporary research in motor development. A valuable text for graduate students beginning their own research projects or making the transition from student to researcher, this text focuses on examining and interpreting research in the field. Respected researchers Haywood, Roberton, and Getchell explain the history and evolution of the field and articulate key research issues. As they examine each of the main models and theories that have influenced the field, they share how motor development research can be applied to the fields of physical education, special education, physical therapy, and rehabilitation sciences. With its emphasis on critical inquiry, Advanced Analysis of Motor Development will help students examine important topics and questions in the field in a more sophisticated manner. They will learn to analyze research methods and results as they deepen their understanding of developmental phenomena. For each category of movement skills covered (posture and balance, foot locomotion, ballistic skills, and manipulative skills), the authors first offer a survey of the pertinent research and then present an in-depth discussion of the landmark studies. In analyzing these studies, students will come to appreciate the detail of research and begin to explore possibilities for their own future research. Throughout the text, special elements help students focus on analysis. Tips for Novice Researchers sidebars highlight issues and questions raised by research and offer suggestions for further exploration and study. Comparative tables detail the differences in the purpose, methods, and results of key studies to help students understand not only what the studies found but also the relevance of those findings. With Advanced Analysis of Motor Development, readers will discover how research focusing on the major issues and central questions in motor development is produced and begin to conceptualize their own research. Readers will encounter the most important models and theories; dissect some of the seminal and recent articles that test these models and theories; and examine issues such as nature and nurture, discontinuity and continuity, and progression and regression. Advanced Analysis of Motor Development will guide students to a deeper understanding of research in life span motor development and enable them to examine how the complexities of motor development can be addressed in their respective professions.
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"With a complete update of the anatomy and physiology of the skin, Advanced Skin Analysis shares the relevant discoveries about the skin over the past decade and presents them in an easy to understand, informative manner that links structure and function to various skin conditions." - Back cover.
This guide to Excel focuses on three areas--least squares, Fourier transformation, and digital simulation. It illustrates the techniques with detailed examples, many drawn from the scientific literature. It also includes and describes a number of sample macros and functions to facilitate common data analysis tasks. De Levie is affiliated with Bowdoin College. Annotation : 2004 Book News, Inc., Portland, OR (booknews.com).
A concise guide to the core material in a graduate level real analysis course.
Each new chapter of the Second Edition covers an aspect of the fixed income market that has become relevant to investors but is not covered at an advanced level in existing textbooks. This is material that is pertinent to the investment decisions but is not freely available to those not originating the products. Professor Choudhry's method is to place ideas into contexts in order to keep them from becoming too theoretical. While the level of mathematical sophistication is both high and specialized, he includes a brief introduction to the key mathematical concepts. This is a book on the financial markets, not mathematics, and he provides few derivations and fewer proofs. He draws on both his personal experience as well as his own research to bring together subjects of practical importance to bond market investors and analysts. - Presents practitioner-level theories and applications, never available in textbooks - Focuses on financial markets, not mathematics - Covers relative value investing, returns analysis, and risk estimation
Credit is essential in the modern world and creates wealth, provided it is used wisely. The Global Credit Crisis during 2008/2009 has shown that sound understanding of underlying credit risk is crucial. If credit freezes, almost every activity in the economy is affected. The best way to utilize credit and get results is to understand credit risk. Advanced Credit Risk Analysis and Management helps the reader to understand the various nuances of credit risk. It discusses various techniques to measure, analyze and manage credit risk for both lenders and borrowers. The book begins by defining what credit is and its advantages and disadvantages, the causes of credit risk, a brief historical overview of credit risk analysis and the strategic importance of credit risk in institutions that rely on claims or debtors. The book then details various techniques to study the entity level credit risks, including portfolio level credit risks. Authored by a credit expert with two decades of experience in corporate finance and corporate credit risk, the book discusses the macroeconomic, industry and financial analysis for the study of credit risk. It covers credit risk grading and explains concepts including PD, EAD and LGD. It also highlights the distinction with equity risks and touches on credit risk pricing and the importance of credit risk in Basel Accords I, II and III. The two most common credit risks, project finance credit risk and working capital credit risk, are covered in detail with illustrations. The role of diversification and credit derivatives in credit portfolio management is considered. It also reflects on how the credit crisis develops in an economy by referring to the bubble formation. The book links with the 2008/2009 credit crisis and carries out an interesting discussion on how the credit crisis may have been avoided by following the fundamentals or principles of credit risk analysis and management. The book is essential for both lenders and borrowers. Containing case studies adapted from real life examples and exercises, this important text is practical, topical and challenging. It is useful for a wide spectrum of academics and practitioners in credit risk and anyone interested in commercial and corporate credit and related products.