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The Quantum Physics is known to be a bogeyman for those students who are forced to study it or even an insuperable obstacle for the fans who want to understand it by their own. Furthermore sometimes it's difficult to accept certain concepts that are apparently inexplainable, but with this book you will learn and understand them very easily, through explanatory images and the discovery of some of the most important experiments.
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Calculation in Mathematics: Logarithm and Exponential Function
This self-teaching solution book consist of lots of examples in Logarithm & Exponential Functions ranging from basics to advance . The book will also enhance your knowledge in mathematics.
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This second edition of A Beginner's Guide to Finite Mathematics takes a distinctly applied approach to finite mathematics at the freshman and sophomore level. Topics are presented sequentially: the book opens with a brief review of sets and numbers, followed by an introduction to data sets, histograms, means and medians. Counting techniques and the Binomial Theorem are covered, which provides the foundation for elementary probability theory; this, in turn, leads to basic statistics. This new edition includes chapters on game theory and financial mathematics. Requiring little mathematical background beyond high school algebra, the text will be especially useful for business and liberal arts majors.
A Simple Approach of Limit of A Function
This is an Easy to understand Review and self-teaching Practice workbook on Limit of Functions. It consist of lots of examples on Limit theorem, Continuity of Function, Trigonometric limits and limits involving infinity. The book will also enhance your knowledge in mathematics.
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Finite Elements and CFD are often taught as two separate subjects and disciplines. However, the use of high speed computers and computer program tools has made it possible to integrate the two and now CFD often uses FE elements instead of the discretizations in 2D, extendig to 3 D eements easily.
Finite Element Method popularly known as FEM has undergone a major paradigm shift from a detailed mathematical background to write tailor made computer programs, to an understanding of the subject for better utilisation of available software such as ANSYS, NISA, ADINA, PAFEC, NASTRAN etc. The author with his rich experience, has made an effort in this direction and prepared a textbook on FEM ideally suited for engineering students and design engineers. Special Features - Comprehensive study material including all relevant topics - approximate methods, matrix operations and theory of elasticity
- Example problems & case studies for better understanding of the concepts
- Includes properties of ductile and brittle materials, for design checks - Solved problems & objective questions - for students
- Examples with a commercial software (ANSYS), common data mistakes and validation of results for code compliance - for practicing design engineers
- Brief coverage of fracture mechanics, contact and gap elements & CFD.
Math Challenge I-C is a four-part course designed to bridge the middle school and high school math materials. For students who participate in the American Math Competitions (AMC), there is a big gap in both the fundamental math concepts and the problem-solving techniques involved between the AMC 8 and AMC 10 contests. This course is developed to help students transition smoothly from middle school to high school, and prepare them for high school math competitions including the AMC 10 \& 12, ARML, and ZIML. The full course covers topics and introductory problem solving in algebra, geometry, and finite math. Algebraic topics include linear equations, systems of equations and inequalities, exponents and radicals, factoring polynomials, and solving quadratic equations. Geometric topics include angles in triangles, quadrilaterals, and polygons, congruent and similar polygons, calculating area, and algebraic geometry. Topics in finite math include logic, introductory number theory, and an introduction to probability and statistics. These topics serve as the fundamental knowledge needed for a more advanced problem solving course such as Math Challenge II-A.
The course is divided into four terms:
We recommend that students take all four terms starting with the Summer, but students with the required background are welcome to join for later terms in the course, or select suitable terms for self-paced study.
Students can sign up for the live online or self-paced course at https: //classes.areteem.org.
Longitudinal studies often incur several problems that challenge standard statistical methods for data analysis. These problems include non-ignorable missing data in longitudinal measurements of one or more response variables, informative observation times of longitudinal data, and survival analysis with intermittently measured time-dependent covariates that are subject to measurement error and/or substantial biological variation. Joint modeling of longitudinal and time-to-event data has emerged as a novel approach to handle these issues.
Joint Modeling of Longitudinal and Time-to-Event Data provides a systematic introduction and review of state-of-the-art statistical methodology in this active research field. The methods are illustrated by real data examples from a wide range of clinical research topics. A collection of data sets and software for practical implementation of the joint modeling methodologies are available through the book website.
This book serves as a reference book for scientific investigators who need to analyze longitudinal and/or survival data, as well as researchers developing methodology in this field. It may also be used as a textbook for a graduate level course in biostatistics or statistics.
This book offers a comprehensive presentation of some of the most successful and popular domain decomposition preconditioners for finite and spectral element approximations of partial differential equations. It places strong emphasis on both algorithmic and mathematical aspects. It covers in detail important methods such as FETI and balancing Neumann-Neumann methods and algorithms for spectral element methods.
