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Essential Partial Differential Equations

by David F. Griffiths John W. Dold David J. Silvester

This volume provides an introduction to the analytical and numerical aspects of partial differential equations (PDEs). It unifies an analytical and computational approach for these; the qualitative behaviour of solutions being established using classical concepts: maximum principles and energy methods. Notable inclusions are the treatment of irregularly shaped boundaries, polar coordinates and the use of flux-limiters when approximating hyperbolic conservation laws. The numerical analysis of difference schemes is rigorously developed using discrete maximum principles and discrete Fourier analysis. A novel feature is the inclusion of a chapter containing projects, intended for either individual or group study, that cover a range of topics such as parabolic smoothing, travelling waves, isospectral matrices, and the approximation of multidimensional advection-diffusion problems. The underlying theory is illustrated by numerous examples and there are around 300 exercises, designed to promote and test understanding. They are starred according to level of difficulty. Solutions to odd-numbered exercises are available to all readers while even-numbered solutions are available to authorised instructors. Written in an informal yet rigorous style, Essential Partial Differential Equations is designed for mathematics undergraduates in their final or penultimate year of university study, but will be equally useful for students following other scientific and engi neering disciplines in which PDEs are of practical importance. The only prerequisite is a familiarity with the basic concepts of calculus and linear algebra.

Essential Perturbation Methods (Synthesis Lectures on Engineering, Science, and Technology)

by C.Y. Wang

This book presents the modeling and scaling of physical problems, which result in normalized perturbation equations. This is followed by solving perturbation problems and evaluating the results. The author refines perturbation methods into simple, understandable elements and avoids unnecessary theorems and proofs. In addition, the results are consolidated and interpreted, and the presented examples are succinct to illustrate the essential techniques. This book is ideal and beneficial for practicing scientists and engineers who need to understand and apply perturbation methods to difficult problems with applications in mathematics, engineering, and biology. Discussions on new perspectives, simpler presentations on convergence, and the expansion of integrals are included.

Essential Python for the Physicist

by Giovanni Moruzzi

This book introduces the reader with little or no previous computer-programming experience to the Python programming language of interest for a physicist or a natural-sciences student. The book starts with basic interactive Python in order to acquire an introductory familiarity with the language, than tackle Python scripts (programs) of increasing complexity, that the reader is invited to run on her/his computer. All program listings are discussed in detail, and the reader is invited to experiment on what happens if some code lines are modified. The reader is introduced to Matplotlib graphics for the generation of figures representing data and function plots and, for instance, field lines. Animated function plots are also considered. A chapter is dedicated to the numerical solution of algebraic and transcendental equations, the basic mathematical principles are discussed and the available Python tools for the solution are presented. A further chapter is dedicated to the numerical solution of ordinary differential equations. This is of vital importance for the physicist, since differential equations are at the base of both classical physics (Newton’s equations) and quantum mechanics (Schroedinger’s equation). The shooting method for the numerical solution of ordinary differential equations with boundary conditions at two boundaries is also presented. Python programs for the solution of two quantum-mechanics problems are discussed as examples. Two chapters are dedicated to Tkinter graphics, which gives the user more freedom than Matplotlib, and to Tkinter animation. Programs displaying the animation of physical problems involving the solution of ordinary differential equations (for which in most cases there is no algebraic solution) in real time are presented and discussed. Finally, 3D animation is presented with Vpython.

Essential SQA Exam Practice: From the publisher of How to Pass

by Mike Smith

Exam board: SQALevel: National 5Subject: MathematicsFirst teaching: September 2017First exam: Summer 2018Practice makes permanent. Feel confident and prepared for the SQA National 5 Maths exam with this two-in-one book, containing practice questions for every topic, plus two full practice papers - all written by an experienced examiner.- Choose which topics you want to revise: A simple grid enables you to pick particular areas of the course that you want to answer questions on, with solutions provided at the back of the book- Remember more in your exam: Repeated and extended practice of calculator and non-calculator questions will improve your numerical, algebraic, geometric, trigonometric, statistical and reasoning skills- Familiarise yourself with the exam papers: Both practice papers mirror the language and layout of the real SQA papers; complete them in timed, exam-style conditions to increase your confidence before the exams- Find out how to achieve a better grade: Answers to the practice papers have commentaries for each question, with tips on writing successful answers and avoiding common mistakesFully up to date with SQA's requirementsThe questions, mark schemes and guidance in this practice book match the requirements of the revised SQA National 5 Maths specification for examination from 2018 onwards.

Essential SQA Exam Practice: From the publisher of How to Pass

by Mike Smith

Exam board: SQALevel: National 5Subject: MathematicsFirst teaching: September 2017First exam: Summer 2018Practice makes permanent. Feel confident and prepared for the SQA National 5 Maths exam with this two-in-one book, containing practice questions for every topic, plus two full practice papers - all written by an experienced examiner.- Choose which topics you want to revise: A simple grid enables you to pick particular areas of the course that you want to answer questions on, with solutions provided at the back of the book- Remember more in your exam: Repeated and extended practice of calculator and non-calculator questions will improve your numerical, algebraic, geometric, trigonometric, statistical and reasoning skills- Familiarise yourself with the exam papers: Both practice papers mirror the language and layout of the real SQA papers; complete them in timed, exam-style conditions to increase your confidence before the exams- Find out how to achieve a better grade: Answers to the practice papers have commentaries for each question, with tips on writing successful answers and avoiding common mistakesFully up to date with SQA's requirementsThe questions, mark schemes and guidance in this practice book match the requirements of the revised SQA National 5 Maths specification for examination from 2018 onwards.

Essential SQA Exam Practice: From the publisher of How to Pass

by Robert Barclay

Exam board: SQALevel: HigherSubject: MathematicsFirst teaching: September 2018First exam: Summer 2019Practice makes permanent. Feel confident and prepared for the SQA Higher Maths exam with this two-in-one book, containing practice questions for every topic, plus two full practice papers - all written by an experienced examiner.- Choose which topics you want to revise: A simple grid enables you to pick particular areas of the course that you want to answer questions on, with solutions provided at the back of the book- Remember more in your exam: Repeated and extended practice of calculator and non-calculator questions will improve your algebraic, trigonometric, geometric, calculus and reasoning skills- Familiarise yourself with the exam papers: Both practice papers mirror the language and layout of the real SQA papers; complete them in timed, exam-style conditions to increase your confidence before the exams- Find out how to achieve a better grade: Answers to the practice papers have commentaries for each question, with tips on writing successful answers and avoiding common mistakesFully up to date with SQA's requirementsThe questions, mark schemes and guidance in this practice book match the requirements of the revised SQA Higher Maths specification for examination from 2019 onwards.

Essential SQA Exam Practice: From the publisher of How to Pass

by Robert Barclay

Exam board: SQALevel: HigherSubject: MathematicsFirst teaching: September 2018First exam: Summer 2019Practice makes permanent. Feel confident and prepared for the SQA Higher Maths exam with this two-in-one book, containing practice questions for every topic, plus two full practice papers - all written by an experienced examiner.- Choose which topics you want to revise: A simple grid enables you to pick particular areas of the course that you want to answer questions on, with solutions provided at the back of the book- Remember more in your exam: Repeated and extended practice of calculator and non-calculator questions will improve your algebraic, trigonometric, geometric, calculus and reasoning skills- Familiarise yourself with the exam papers: Both practice papers mirror the language and layout of the real SQA papers; complete them in timed, exam-style conditions to increase your confidence before the exams- Find out how to achieve a better grade: Answers to the practice papers have commentaries for each question, with tips on writing successful answers and avoiding common mistakesFully up to date with SQA's requirementsThe questions, mark schemes and guidance in this practice book match the requirements of the revised SQA Higher Maths specification for examination from 2019 onwards.

Essential Statistical Analysis "In Focus": Alternate Guides for R, SAS, and Stata for Essential Statistics for the Behavioral Sciences

by Yu Lei Kristin L. Sotak Gregory J. Privitera

Essentials of Statistical Analysis "In Focus" supports users of Gregory J. Privitera’s Essential Statistics for the Behavioral Sciences, Second Edition who work with a statistical program other than SPSS® or Excel®. Three standalone parts, each dedicated to R, SAS®, and Stata®, serve as step-by-step guides for completing the "In Focus" exercises in Privitera’s core text. A conversational writing style along with "To The Student" introductions allow students to familiarize themselves and become more comfortable with each program prior to making computations. Additionally, General Instruction Guidebook (GIG) sections for R, SAS®, and Stata® provide standardized how-to instructions for using each program, making the book a valuable reference for students beyond their studies.

Essential Statistical Analysis "In Focus": Alternate Guides for R, SAS, and Stata for Essential Statistics for the Behavioral Sciences

by Yu Lei Kristin L. Sotak Gregory J. Privitera

Essentials of Statistical Analysis "In Focus" supports users of Gregory J. Privitera’s Essential Statistics for the Behavioral Sciences, Second Edition who work with a statistical program other than SPSS® or Excel®. Three standalone parts, each dedicated to R, SAS®, and Stata®, serve as step-by-step guides for completing the "In Focus" exercises in Privitera’s core text. A conversational writing style along with "To The Student" introductions allow students to familiarize themselves and become more comfortable with each program prior to making computations. Additionally, General Instruction Guidebook (GIG) sections for R, SAS®, and Stata® provide standardized how-to instructions for using each program, making the book a valuable reference for students beyond their studies.

Essential Statistical Inference

by Dennis D. Boos L A Stefanski

This book is for students and researchers who have had a first year graduate level mathematical statistics course. It covers classical likelihood, Bayesian, and permutation inference; an introduction to basic asymptotic distribution theory; and modern topics like M-estimation, the jackknife, and the bootstrap. R code is woven throughout the text, and there are a large number of examples and problems. An important goal has been to make the topics accessible to a wide audience, with little overt reliance on measure theory. A typical semester course consists of Chapters 1-6 (likelihood-based estimation and testing, Bayesian inference, basic asymptotic results) plus selections from M-estimation and related testing and resampling methodology. Dennis Boos and Len Stefanski are professors in the Department of Statistics at North Carolina State. Their research has been eclectic, often with a robustness angle, although Stefanski is also known for research concentrated on measurement error, including a co-authored book on non-linear measurement error models. In recent years the authors have jointly worked on variable selection methods.

Essential Statistical Physics

by Malcolm P. Kennett

This clear and pedagogical text delivers a concise overview of classical and quantum statistical physics. Essential Statistical Physics shows students how to relate the macroscopic properties of physical systems to their microscopic degrees of freedom, preparing them for graduate courses in areas such as biophysics, condensed matter physics, atomic physics and statistical mechanics. Topics covered include the microcanonical, canonical, and grand canonical ensembles, Liouville's Theorem, Kinetic Theory, non-interacting Fermi and Bose systems and phase transitions, and the Ising model. Detailed steps are given in mathematical derivations, allowing students to quickly develop a deep understanding of statistical techniques. End-of-chapter problems reinforce key concepts and introduce more advanced applications, and appendices provide a detailed review of thermodynamics and related mathematical results. This succinct book offers a fresh and intuitive approach to one of the most challenging topics in the core physics curriculum and provides students with a solid foundation for tackling advanced topics in statistical mechanics.

Essential Statistics

by D.G. Rees

An introductory text for students taking a first course in statistics-in fields as diverse as engineering, business, chemistry, and biology-Essential Statistics: Fourth Edition thoroughly updates and enhances the hugely successful third edition. It presents new information on modern statistical techniques such as Analysis of Variance (ANOVA), and software such as MINITAB™ for WINDOWS.An experienced former lecturer, the author communicates to students in his trademark easy-to-follow style. Keeping complex mathematical theory to a minimum, Rees presents a wealth of fully explained worked examples throughout the text. In addition, the end-of-chapter Worksheets relate to a variety of fields-enabling students to see the relevance of the numerous methods to their study areas. Essential Statistics: Fourth Edition emphasizes the principles and assumptions underlying the statistical methods, thus providing the tools needed for students to use and interpret statistical data effectively.

Essential Statistics

by William Cyrus Navidi

This book is designed for an introductory course in statistics. The mathematical prerequisite is basic algebra. In addition to presenting the mechanics of the subject, we have endeavored to explain the concepts behind them, in a writing style as straightforward, clear, and engaging as we could make it.

Essential Statistics for Bioscientists

by Mohammed Meah

Dive into the most common statistical tests and software packages used for scientific data analysis and interpretation In Essential Statistics For Bioscientists, experienced university and bioscientist Dr Mohammed Meah delivers easy access to statistical analysis and data presentation. It is a great resource for students in the field of life and health sciences to conceptualize, analyze, and present data. This book uses three popular and commonly used statistics softwares—Microsoft Excel, Graphpad Prism, and SPSS—and offers clear, step-by-step instructions for essential data analysis and graphical/tabular display of data. Beginning with fundamental statistics terminology and concepts, including data types, descriptive statistics (central and spread of data), exploratory statistics (graphical display) and inferential statistics (hypothesis testing and correlation), the content gradually builds in complexity, explaining which statistical test is best suited and how to perform it. A thorough introduction to basic statistical terms and building up to an advanced level of statistical application- ideal for those new to study of statistics Extensive application of three popular software packages- Microsoft Excel, Graphpad Prism and SPSS Numerous hands-on examples of performing data analysis using Microsoft Excel, Graphpad Prism, and SPSS Considers the limitations and errors of statistical analysis Essential reading for those designing and planning a research project in Biosciences Perfect for undergraduate students in the life and health sciences, Essential Statistics For Bioscientists will also earn a place in the libraries of anyone studying medicine, nursing, physiotherapy, pharmacy, and dentistry requiring a refresher or primer on statistical fundamentals.

Essential Statistics for Medical Practice

by D.G. Rees

A firm understanding of the basic statistical methods used in current medical literature is now essential for medical practice, as research papers have become increasingly statistical in nature. This book has a unique, case-study approach, starting with six actual research papers showing which statistical methods were used and how the results were obtained. It will enable the medical professional to understand the methods in an easy and accessible way.

Essential Statistics for the Behavioral Sciences

by Gregory J. Privitera

Essentials of Statistics for the Behavioral Sciences is a concise version of Statistics for the Behavioral Sciences by award-winning teacher, author, and advisor Gregory J. Privitera. The Second Edition provides balanced coverage for today’s students, connecting the relevance of core concepts to daily life with new introductory vignettes for every chapter, while speaking to the reader as a researcher when covering statistical theory, computation, and application. Robust pedagogy allows students to continually check their comprehension and hone their skills while working through carefully developed problems and exercises that include current research and seamless integration of IBM® SPSS® Statistics. Readers will welcome Privitera’s thoughtful instruction, conversational voice, and application of statistics to real-world problems. A Complete Teaching & Learning Package. SAGE coursepacks FREE! SAGE coursepacks makes it easy to import our quality instructor and student resource content into your school’s learning management system (LMS). Intuitive and simple to use, SAGE coursepacks allows you to customize course content to meet your students’ needs. . SAGE edge FREE! SAGE edge offers both instructors and students a robust online environment with an impressive array of teaching and learning resources. Study Guide With IBM® SPSS® Workbook Bundle the Second Edition with the accompanying Student Study Guide With IBM® SPSS® Workbook for Essential Statistics for the Behavioral Sciences. Guide for Users of R, SAS®, and Stata® Bundle the Second Edition with the accompanying Essentials of Statistical Analysis "In Focus". WebAssign® This title is available on WebAssign, allowing instructors to produce and manage assignments with their students online using a grade book that allows them to track and monitor students′ progress. Students receive unlimited practice using a combination of multiple choice and algorithmic questions, and are allowed unlimited access to this edition of the textbook in the same course at no additional cost. WebAssign provides instant feedback and links directly to the accompanying eBook section where the concept was covered, allowing students to find the correct solution.

Essential Statistics for the Behavioral Sciences

by Gregory J. Privitera

Essentials of Statistics for the Behavioral Sciences is a concise version of Statistics for the Behavioral Sciences by award-winning teacher, author, and advisor Gregory J. Privitera. The Second Edition provides balanced coverage for today’s students, connecting the relevance of core concepts to daily life with new introductory vignettes for every chapter, while speaking to the reader as a researcher when covering statistical theory, computation, and application. Robust pedagogy allows students to continually check their comprehension and hone their skills while working through carefully developed problems and exercises that include current research and seamless integration of IBM® SPSS® Statistics. Readers will welcome Privitera’s thoughtful instruction, conversational voice, and application of statistics to real-world problems. A Complete Teaching & Learning Package. SAGE coursepacks FREE! SAGE coursepacks makes it easy to import our quality instructor and student resource content into your school’s learning management system (LMS). Intuitive and simple to use, SAGE coursepacks allows you to customize course content to meet your students’ needs. . SAGE edge FREE! SAGE edge offers both instructors and students a robust online environment with an impressive array of teaching and learning resources. Study Guide With IBM® SPSS® Workbook Bundle the Second Edition with the accompanying Student Study Guide With IBM® SPSS® Workbook for Essential Statistics for the Behavioral Sciences. Guide for Users of R, SAS®, and Stata® Bundle the Second Edition with the accompanying Essentials of Statistical Analysis "In Focus". WebAssign® This title is available on WebAssign, allowing instructors to produce and manage assignments with their students online using a grade book that allows them to track and monitor students′ progress. Students receive unlimited practice using a combination of multiple choice and algorithmic questions, and are allowed unlimited access to this edition of the textbook in the same course at no additional cost. WebAssign provides instant feedback and links directly to the accompanying eBook section where the concept was covered, allowing students to find the correct solution.

Essential Statistics for the Behavioral Sciences: Alternate Guides For R, Sas, And Stata For Essential Statistics For The Behavioral Sciences

by Dr Gregory J. Privitera

Employing the hallmark pedagogical support of his successful comprehensive text, award-winning author, teacher, and advisor Gregory J. Privitera offers a brief and engaging introduction to the field with Essential Statistics for the Behavioral Sciences. Practical examples, integrated SPSS® coverage and screenshots, and numerous learning tools make intimidating concepts accessible. Students will welcome Privitera's clear instruction, conversational voice, and application of statistics to current, real-life research problems.

Essential Statistics for the Behavioral Sciences: Alternate Guides For R, Sas, And Stata For Essential Statistics For The Behavioral Sciences

by Dr Gregory J. Privitera

Employing the hallmark pedagogical support of his successful comprehensive text, award-winning author, teacher, and advisor Gregory J. Privitera offers a brief and engaging introduction to the field with Essential Statistics for the Behavioral Sciences. Practical examples, integrated SPSS® coverage and screenshots, and numerous learning tools make intimidating concepts accessible. Students will welcome Privitera's clear instruction, conversational voice, and application of statistics to current, real-life research problems.

Essential Statistics: Exploring the World through Data (Second Edition)

by Robert Gould Rebecca Wong Colleen Ryan

We live in a data-driven world, and the goal of this text is to teach students how to access and analyze these data critically. Authors Rob Gould, Colleen Ryan, and Rebecca Wong want students to develop a "data habit of mind" because learning statistics is an essential life skill that extends beyond the classroom.and Regardless of their math backgrounds, students will learn how to think about data and how to reason using data. With a clear, unintimidating writing style and carefully chosen pedagogy, this text makes data analysis accessible to all students.

Essential Tools for Water Resources Analysis, Planning, and Management (Springer Water)

by Omid Bozorg-Haddad

This book describes concepts and tools needed for water resources management, including methods for modeling, simulation, optimization, big data analysis, data mining, remote sensing, geographical information system, game theory, conflict resolution, System dynamics, agent-based models, multiobjective, multicriteria, and multiattribute decision making and risk and uncertainty analysis, for better and sustainable management of water resources and consumption, thus mitigating the present and future global water shortage crisis. It presents the applications of these tools through case studies which demonstrate its benefits of proper management of water resources systems. This book acts as a reference for students, professors, industrial practitioners, and stakeholders in the field of water resources and hydrology.

Essentials Engineering Mathematics

by Alan Jeffrey

First published in 1992, Essentials of Engineering Mathematics is a widely popular reference ideal for self-study, review, and fast answers to specific questions. While retaining the style and content that made the first edition so successful, the second edition provides even more examples, new material, and most importantly, an introduction to usi

Essentials Of Business Statistics

by Bruce L. Bowerman Richard O'Connell J. Burdeane Orris

The new edition of Essentials of Business Statistics delivers clear and understandable explanations of core business statistics concepts, making it ideal for a one-term course in business statistics. The author team--Bowerman/O'Connell/Murphree/Orris-emphasize the importance of interpreting statistical results to make effective decisions to improve business processes. The text offers real applications of statistics that are relevant to today's business students which can be seen in the continuing case studies throughout the book. Continuing cases span throughout a chapter or even groups of chapters, easing students into new topic areas. Connect is the only integrated learning system that empowers students by continuously adapting to deliver precisely what they need, when they need it, and how they need it, so that your class time is more engaging and effective.

Essentials Of Statistics

by Mario F. Triola

From SAT scores to job search methods, statistics influences and shapes the world around us. Marty Triola's text continues to be the bestseller because it helps students understand the relationship between statistics and the world, bringing life to the theory and methods. Essentials of Statistics raises the bar with every edition by incorporating an unprecedented amount of real and interesting data that will help instructors connect with students today, and help them connect statistics to their daily lives. The Fifth Edition contains more than 1,800 exercises, 89% of which use real data and 85% of which are new. Hundreds of examples are included, 91% of which use real data and 84% of which are new. New coverage of Ethics in Statistics highlights new guidelines that have been established in the industry.

Essentials Of Statistics

by Mario Triola

For courses in Introductory Statistics. <P><P> Real data bring statistics to life From opinion polls and clinical trials to self-driving cars, statistics influences and shapes the world around us. Best-selling author Marty Triola is committed to keeping Essentials of Statistics current ― with an unprecedented amount of current real data ― so that students of all majors understand the role of statistics in the world around them. In addition to an abundance of new data sets, examples, and exercises, the 6th Edition is even more effective for today’s instructors with the addition of learning objectives as an organizational tool, larger data sets, and new topics and organization in line with advancements in statistics education. In addition, students will find more support in an all-new series of videos, additional opportunities for practice, and improved support for statistical software. Essentials of Statistics is part of a series that includes Elementary Statistics, Elementary Statistics Using the TI 83/84 Plus Calculator, andElementary Statistics Using Excel. Data sets and other resources for this series are available at our website.

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