Experimental Statistics And Data Analysis For Mechanical And Aerospace Engineers

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Experimental Statistics and Data Analysis for Mechanical and Aerospace Engineers

Author : James A. Middleton
Publisher : CRC Press
ISBN 13 : 1000469611
Total Pages : 608 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Experimental Statistics and Data Analysis for Mechanical and Aerospace Engineers by : James A. Middleton

Download or read book Experimental Statistics and Data Analysis for Mechanical and Aerospace Engineers written by James A. Middleton and published by CRC Press. This book was released on 2021-11-25 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops foundational concepts in probability and statistics with primary applications in mechanical and aerospace engineering. It develops the mindset a data analyst must have to interpret an ill-defined problem, operationalize it, collect or interpret data, and use this evidence to make decisions that can improve the quality of engineered products and systems. It was designed utilizing the latest research in statistics learning and in engagement teaching practices The author’s focus is on developing students’ conceptual understanding of statistical theory with the goal of effective design and conduct of experiments. Engineering statistics is primarily a form of data modeling. Emphasis is placed on modelling variation in observations, characterizing its distribution, and making inferences with regards to quality assurance and control. Fitting multivariate models, experimental design and hypothesis testing are all critical skills developed. All topics are developed utilizing real data from engineering projects, simulations, and laboratory experiences. In other words, we begin with data, we end with models. The key features are: Realistic contexts situating the learning of the statistics in actual engineering practice. A balance of rigorous mathematics, conceptual scaffolding, and real, messy data, to ensure that students learn the important concepts and can apply them in practice. The consistency of text, lecture notes, data sets, and simulations yield a coherent set of instructional resources for the instructor and a coherent set of learning experiences for the students. MatLab is used as a computational tool. Other tools are easily substituted. Table of Contents 1. Introduction 2. Dealing with Variation 3. Types of Data 4. Introduction to Probability 5. Sampling Distribution of the Mean 6. The Ten Building Blocks of Experimental Design 7. Sampling Distribution of the Proportion 8. Hypothesis Testing Using the 1-sample Statistics 9. 2-sample Statistics 10. Simple Linear Regression 11. The General Linear Model: Regression with Multiple Predictors 12. The GLM with Categorical Independent Variables: The Analysis of Variance 13. The General Linear Model: Randomized Block Factorial ANOVA 14. Factorial Analysis of Variance 15. The Bootstrap 16. Data Reduction: Principal Components Analysis Index Author Biography James A. Middleton is Professor of Mechanical and Aerospace Engineering and former Director of the Center for Research on Education in Science, Mathematics, Engineering, and Technology at Arizona State University. Previously, he held the Elmhurst Energy Chair in STEM education at the University of Birmingham in the UK. He received his Ph.D. from the University of Wisconsin-Madison. He has been Senior co-Chair of the Special Interest Group for Mathematics Education in the American Educational Research Association, and as Chair of the National Council of Teachers of Mathematics’ Research Committee. He has been a consultant for the College Board, the Rand Corporation, the National Academies, the American Statistical Association, the IEEE, and numerous school systems around the United States, the UK, and Australia. He has garnered over $30 million in grants to study and improve mathematics education in urban schools.

Uncertainty Analysis of Experimental Data with R

Author : Benjamin David Shaw
Publisher : CRC Press
ISBN 13 : 1498797334
Total Pages : 196 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Uncertainty Analysis of Experimental Data with R by : Benjamin David Shaw

Download or read book Uncertainty Analysis of Experimental Data with R written by Benjamin David Shaw and published by CRC Press. This book was released on 2017-07-06 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This would be an excellent book for undergraduate, graduate and beyond....The style of writing is easy to read and the author does a good job of adding humor in places. The integration of basic programming in R with the data that is collected for any experiment provides a powerful platform for analysis of data.... having the understanding of data analysis that this book offers will really help researchers examine their data and consider its value from multiple perspectives – and this applies to people who have small AND large data sets alike! This book also helps people use a free and basic software system for processing and plotting simple to complex functions." Michelle Pantoya, Texas Tech University Measurements of quantities that vary in a continuous fashion, e.g., the pressure of a gas, cannot be measured exactly and there will always be some uncertainty with these measured values, so it is vital for researchers to be able to quantify this data. Uncertainty Analysis of Experimental Data with R covers methods for evaluation of uncertainties in experimental data, as well as predictions made using these data, with implementation in R. The books discusses both basic and more complex methods including linear regression, nonlinear regression, and kernel smoothing curve fits, as well as Taylor Series, Monte Carlo and Bayesian approaches. Features: 1. Extensive use of modern open source software (R). 2. Many code examples are provided. 3. The uncertainty analyses conform to accepted professional standards (ASME). 4. The book is self-contained and includes all necessary material including chapters on statistics and programming in R. Benjamin D. Shaw is a professor in the Mechanical and Aerospace Engineering Department at the University of California, Davis. His research interests are primarily in experimental and theoretical aspects of combustion. Along with other courses, he has taught undergraduate and graduate courses on engineering experimentation and uncertainty analysis. He has published widely in archival journals and became an ASME Fellow in 2003.

Proceedings of the 7th International Symposium on Mathematics Education and Innovation (ISMEI 2022)

Author : Farida Nurhasanah
Publisher : Springer Nature
ISBN 13 : 9464632208
Total Pages : 208 pages
Book Rating : 4.4/5 (646 download)

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Book Synopsis Proceedings of the 7th International Symposium on Mathematics Education and Innovation (ISMEI 2022) by : Farida Nurhasanah

Download or read book Proceedings of the 7th International Symposium on Mathematics Education and Innovation (ISMEI 2022) written by Farida Nurhasanah and published by Springer Nature. This book was released on with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:

General Quantum Numerical Analysis

Author : Svetlin G. Georgiev
Publisher : CRC Press
ISBN 13 : 1040023363
Total Pages : 519 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis General Quantum Numerical Analysis by : Svetlin G. Georgiev

Download or read book General Quantum Numerical Analysis written by Svetlin G. Georgiev and published by CRC Press. This book was released on 2024-05-03 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is focused on the qualitative theory of general quantum calculus, the modern name for the investigation of calculus without limits. It centers on designing, analysing and applying computational techniques for general quantum differential equations. The quantum calculus or q-calculus began with F.H. Jackson in the early twentieth century, but this kind of calculus had already been worked out by Euler and Jacobi. Recently, it has aroused interest due to high demand of mathematics that models quantum computing and the connection between mathematics and physics. Quantum calculus has many applications in different mathematical areas such as number theory, combinatorics, orthogonal polynomials, basic hyper-geometric functions and other sciences such as quantum theory, mechanics and the theory of relativity. The authors summarize the most recent contributions in this area. General Quantum Numerical Analysis is intended for senior undergraduate students and beginning graduate students of engineering and science courses. The twelve chapters in this book are pedagogically organized, each concluding with a section of practical problems.

Advanced Engineering Mathematics

Author : Dean G. Duffy
Publisher : CRC Press
ISBN 13 : 100055130X
Total Pages : 497 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Advanced Engineering Mathematics by : Dean G. Duffy

Download or read book Advanced Engineering Mathematics written by Dean G. Duffy and published by CRC Press. This book was released on 2022-03-23 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through four previous editions of Advanced Engineering Mathematics with MATLAB, the author presented a wide variety of topics needed by today's engineers. The fifth edition of that book, available now, has been broken into two parts: topics currently needed in mathematics courses and a new stand-alone volume presenting topics not often included in these courses and consequently unknown to engineering students and many professionals. The overall structure of this new book consists of two parts: transform methods and random processes. Built upon a foundation of applied complex variables, the first part covers advanced transform methods, as well as z-transforms and Hilbert transforms--transforms of particular interest to systems, communication, and electrical engineers. This portion concludes with Green's function, a powerful method of analyzing systems. The second portion presents random processes--processes that more accurately model physical and biological engineering. Of particular interest is the inclusion of stochastic calculus. The author continues to offer a wealth of examples and applications from the scientific and engineering literature, a highlight of his previous books. As before, theory is presented first, then examples, and then drill problems. Answers are given in the back of the book. This book is all about the future: The purpose of this book is not only to educate the present generation of engineers but also the next. "The main strength is the text is written from an engineering perspective. The majority of my students are engineers. The physical examples are related to problems of interest to the engineering students." --Lea Jenkins, Clemson University

Advanced Engineering Mathematics with MATLAB

Author : Dean G. Duffy
Publisher : CRC Press
ISBN 13 : 1000514277
Total Pages : 795 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Advanced Engineering Mathematics with MATLAB by : Dean G. Duffy

Download or read book Advanced Engineering Mathematics with MATLAB written by Dean G. Duffy and published by CRC Press. This book was released on 2022-01-03 with total page 795 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the four previous editions the author presented a text firmly grounded in the mathematics that engineers and scientists must understand and know how to use. Tapping into decades of teaching at the US Navy Academy and the US Military Academy and serving for twenty-five years at (NASA) Goddard Space Flight, he combines a teaching and practical experience that is rare among authors of advanced engineering mathematics books. This edition offers a smaller, easier to read, and useful version of this classic textbook. While competing textbooks continue to grow, the book presents a slimmer, more concise option. Instructors and students alike are rejecting the encyclopedic tome with its higher and higher price aimed at undergraduates. To assist in the choice of topics included in this new edition, the author reviewed the syllabi of various engineering mathematics courses that are taught at a wide variety of schools. Due to time constraints an instructor can select perhaps three to four topics from the book, the most likely being ordinary differential equations, Laplace transforms, Fourier series and separation of variables to solve the wave, heat, or Laplace's equation. Laplace transforms are occasionally replaced by linear algebra or vector calculus. Sturm-Liouville problem and special functions (Legendre and Bessel functions) are included for completeness. Topics such as z-transforms and complex variables are now offered in a companion book, Advanced Engineering Mathematics: A Second Course by the same author. MATLAB is still employed to reinforce the concepts that are taught. Of course, this Edition continues to offer a wealth of examples and applications from the scientific and engineering literature, a highlight of previous editions. Worked solutions are given in the back of the book.

Handbook of Fractional Calculus for Engineering and Science

Author : Harendra Singh
Publisher : CRC Press
ISBN 13 : 1000540103
Total Pages : 236 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Handbook of Fractional Calculus for Engineering and Science by : Harendra Singh

Download or read book Handbook of Fractional Calculus for Engineering and Science written by Harendra Singh and published by CRC Press. This book was released on 2022-02-17 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractional calculus is used to model many real-life situations from science and engineering. The book includes different topics associated with such equations and their relevance and significance in various scientific areas of study and research. In this book readers will find several important and useful methods and techniques for solving various types of fractional-order models in science and engineering. The book should be useful for graduate students, PhD students, researchers and educators interested in mathematical modelling, physical sciences, engineering sciences, applied mathematical sciences, applied sciences, and so on. This Handbook: Provides reliable methods for solving fractional-order models in science and engineering. Contains efficient numerical methods and algorithms for engineering-related equations. Contains comparison of various methods for accuracy and validity. Demonstrates the applicability of fractional calculus in science and engineering. Examines qualitative as well as quantitative properties of solutions of various types of science- and engineering-related equations. Readers will find this book to be useful and valuable in increasing and updating their knowledge in this field and will be it will be helpful for engineers, mathematicians, scientist and researchers working on various real-life problems.

Computational Mathematics

Author : Dimitrios Mitsotakis
Publisher : CRC Press
ISBN 13 : 1000889432
Total Pages : 529 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis Computational Mathematics by : Dimitrios Mitsotakis

Download or read book Computational Mathematics written by Dimitrios Mitsotakis and published by CRC Press. This book was released on 2023-06-19 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is a comprehensive introduction to computational mathematics and scientific computing suitable for undergraduate and postgraduate courses. It presents both practical and theoretical aspects of the subject, as well as advantages and pitfalls of classical numerical methods alongside with computer code and experiments in Python. Each chapter closes with modern applications in physics, engineering, and computer science. Features: No previous experience in Python is required. Includes simplified computer code for fast-paced learning and transferable skills development. Includes practical problems ideal for project assignments and distance learning. Presents both intuitive and rigorous faces of modern scientific computing. Provides an introduction to neural networks and machine learning.

Observability and Mathematics

Author : Boris Khots
Publisher : CRC Press
ISBN 13 : 1000466272
Total Pages : 228 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Observability and Mathematics by : Boris Khots

Download or read book Observability and Mathematics written by Boris Khots and published by CRC Press. This book was released on 2021-11-10 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author approaches an old classic problem - the existence of solutions of Navier-Stokes equations. The main objective is to model and derive of equation of continuity, Euler equation of fluid motion, energy flux equation, Navier-Stokes equations from the observer point of view and solve classic problem for this interpretation of fluid motion laws. If we have a piece of metal or a volume of liquid, the idea impresses itself upon us that it is divisible without limit, that any part of it, however small, would again have the same properties. But, wherever the methods of research in the physics of matter were refined sufficiently, limits to divisibility were reached that are not due to the inadequacy of our experiments but to the nature of the subject matter. Observability in mathematics were developed by the author based on denial of infinity idea. He introduces observers into arithmetic, and arithmetic becomes dependent on observers. And after that the basic mathematical parts also become dependent on observers. This approach permits to reconsider the fluid motion laws, analyze them and get solutions of classic problems. Table of Contents 1. Introduction. 2. Observability and Arithmetic. 3. Observability and Vector Algebra. 4. Observability and Mathematical Analysis (Calculus). 5. Classic Fluid Mechanics equations and Observability. 6. Observability and Thermodynamical equations. 7. Observability and equation of continuity. 8. Observability and Euler equation of motion of the fluid. 9. Observability and energy flux and moment flux equations. 10. Observability and incompressible fluids. 11. Observability and Navier-Stokes equations. 12. Observability and Relativistic Fluid Mechanics. 13. Appendix: Review of publications of the Mathematics with Observers. 14. Glossary. Bibliography Index Biography Boris Khots, DrSci, lives in Iowa, USA, Independent Researcher. Alma Mater - Moscow State Lomonosov University, Department of Mathematics and Mechanics (mech-math). Creator of Observer’s Mathematics. Participant of more than 30 Mathematical international congresses, conferences. In particular, participated with presentation at International Congresses of Mathematicians on 1998 (Germany), 2002 (China), 2006 (Spain), 2010 (India), 2014 (South Korea). More than 150 mathematical books and papers.

Boundary Value Problems on Time Scales, Volume II

Author : Svetlin G. Georgiev
Publisher : CRC Press
ISBN 13 : 1000429857
Total Pages : 457 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Boundary Value Problems on Time Scales, Volume II by : Svetlin G. Georgiev

Download or read book Boundary Value Problems on Time Scales, Volume II written by Svetlin G. Georgiev and published by CRC Press. This book was released on 2021-10-15 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boundary Value Problems on Time Scales, Volume II is devoted to the qualitative theory of boundary value problems on time scales. Summarizing the most recent contributions in this area, it addresses a wide audience of specialists such as mathematicians, physicists, engineers and biologists. It can be used as a textbook at the graduate level and as a reference book for several disciplines. The text contains two volumes, both published by Chapman & Hall/CRC Press. Volume I presents boundary value problems for first- and second-order dynamic equations on time scales. Volume II investigates boundary value problems for three, four, and higher-order dynamic equations on time scales. Many results to differential equations carry over easily to corresponding results for difference equations, while other results seem to be totally different in nature. Because of these reasons, the theory of dynamic equations is an active area of research. The time-scale calculus can be applied to any field in which dynamic processes are described by discrete or continuous time models. The calculus of time scales has various applications involving noncontinuous domains such as certain bug populations, phytoremediation of metals, wound healing, maximization problems in economics, and traffic problems. Boundary value problems on time scales have been extensively investigated in simulating processes and the phenomena subject to short-time perturbations during their evolution. The material in this book is presented in highly readable, mathematically solid format. Many practical problems are illustrated displaying a wide variety of solution techniques. AUTHORS Svetlin G. Georgiev is a mathematician who has worked in various areas of the study. He currently focuses on harmonic analysis, functional analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations, and dynamic calculus on time scales. Khaled Zennir earned his PhD in mathematics in 2013 from Sidi Bel Abbès University, Algeria. In 2015, he received his highest diploma in Habilitation in mathematics from Constantine University, Algeria. He is currently assistant professor at Qassim University in the Kingdom of Saudi Arabia. His research interests lie in the subjects of nonlinear hyperbolic partial differential equations: global existence, blowup, and long-time behavior.

Boundary Value Problems on Time Scales, Volume I

Author : Svetlin G. Georgiev
Publisher : CRC Press
ISBN 13 : 1000429849
Total Pages : 692 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Boundary Value Problems on Time Scales, Volume I by : Svetlin G. Georgiev

Download or read book Boundary Value Problems on Time Scales, Volume I written by Svetlin G. Georgiev and published by CRC Press. This book was released on 2021-10-15 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boundary Value Problems on Time Scales, Volume I is devoted to the qualitative theory of boundary value problems on time scales. Summarizing the most recent contributions in this area, it addresses a wide audience of specialists such as mathematicians, physicists, engineers and biologists. It can be used as a textbook at the graduate level and as a reference book for several disciplines. The text contains two volumes, both published by Chapman & Hall/CRC Press. Volume I presents boundary value problems for first- and second-order dynamic equations on time scales. Volume II investigates boundary value problems for three, four, and higher-order dynamic equations on time scales. Many results to differential equations carry over easily to corresponding results for difference equations, while other results seem to be totally different in nature. Because of these reasons, the theory of dynamic equations is an active area of research. The time-scale calculus can be applied to any field in which dynamic processes are described by discrete or continuous time models. The calculus of time scales has various applications involving noncontinuous domains such as certain bug populations, phytoremediation of metals, wound healing, maximization problems in economics, and traffic problems. Boundary value problems on time scales have been extensively investigated in simulating processes and the phenomena subject to short-time perturbations during their evolution. The material in this book is presented in highly readable, mathematically solid format. Many practical problems are illustrated displaying a wide variety of solution techniques. AUTHORS Svetlin G. Georgiev is a mathematician who has worked in various areas of the study. He currently focuses on harmonic analysis, functional analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations, and dynamic calculus on time scales. Khaled Zennir earned his PhD in mathematics in 2013 from Sidi Bel Abbès University, Algeria. In 2015, he received his highest diploma in Habilitation in mathematics from Constantine University, Algeria. He is currently assistant professor at Qassim University in the Kingdom of Saudi Arabia. His research interests lie in the subjects of nonlinear hyperbolic partial differential equations: global existence, blowup, and long-time behavior.

Quantum Computation

Author : Helmut Bez
Publisher : CRC Press
ISBN 13 : 1000835391
Total Pages : 426 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis Quantum Computation by : Helmut Bez

Download or read book Quantum Computation written by Helmut Bez and published by CRC Press. This book was released on 2023-02-23 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Computation presents the mathematics of quantum computation. The purpose is to introduce the topic of quantum computing to students in computer science, physics and mathematics who have no prior knowledge of this field. The book is written in two parts. The primary mathematical topics required for an initial understanding of quantum computation are dealt with in Part I: sets, functions, complex numbers and other relevant mathematical structures from linear and abstract algebra. Topics are illustrated with examples focussing on the quantum computational aspects which will follow in more detail in Part II. Part II discusses quantum information, quantum measurement and quantum algorithms. These topics provide foundations upon which more advanced topics may be approached with confidence. Features A more accessible approach than most competitor texts, which move into advanced, research-level topics too quickly for today's students. Part I is comprehensive in providing all necessary mathematical underpinning, particularly for those who need more opportunity to develop their mathematical competence. More confident students may move directly to Part II and dip back into Part I as a reference. Ideal for use as an introductory text for courses in quantum computing. Fully worked examples illustrate the application of mathematical techniques. Exercises throughout develop concepts and enhance understanding. End-of-chapter exercises offer more practice in developing a secure foundation.

Clean Numerical Simulation

Author : Shijun Liao
Publisher : CRC Press
ISBN 13 : 100096356X
Total Pages : 161 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Clean Numerical Simulation by : Shijun Liao

Download or read book Clean Numerical Simulation written by Shijun Liao and published by CRC Press. This book was released on 2023-10-25 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author has been named among the top 2% of all scientists throughout the world in 2020. This book offers an entirely new approach to chaos and nonlinear dynamics. The book ties into the author's widely published and cited research.

Multiplicative Partial Differential Equations

Author : Svetlin G. Georgiev
Publisher : CRC Press
ISBN 13 : 1000970051
Total Pages : 269 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Multiplicative Partial Differential Equations by : Svetlin G. Georgiev

Download or read book Multiplicative Partial Differential Equations written by Svetlin G. Georgiev and published by CRC Press. This book was released on 2023-10-30 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book includes new classification and canonical forms of Second order MPDEs Proposes a new technique to solve the multiplicative wave equation such as method of separation of variables, energy method. The proposed technique in the book can be used to give the basic properties of multiplicative elliptic problems, the fundamental solutions, multiplicative integral representation of multiplicative harmonic functions, mean-value formulas, strong principle of maximum, the multiplicative Poisson equation, multiplicative Green functions, method of separation of variables, theorems of Liouville and Harnack.

Delay Ordinary and Partial Differential Equations

Author : Andrei D. Polyanin
Publisher : CRC Press
ISBN 13 : 1000925897
Total Pages : 434 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Delay Ordinary and Partial Differential Equations by : Andrei D. Polyanin

Download or read book Delay Ordinary and Partial Differential Equations written by Andrei D. Polyanin and published by CRC Press. This book was released on 2023-08-28 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides exact solutions Describes numerical methods or numerical solutions, analytical methods, stability/instability issues Focus on partial differential equations

Separation of Variables and Exact Solutions to Nonlinear PDEs

Author : Andrei D. Polyanin
Publisher : CRC Press
ISBN 13 : 100046363X
Total Pages : 402 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Separation of Variables and Exact Solutions to Nonlinear PDEs by : Andrei D. Polyanin

Download or read book Separation of Variables and Exact Solutions to Nonlinear PDEs written by Andrei D. Polyanin and published by CRC Press. This book was released on 2021-09-19 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Separation of Variables and Exact Solutions to Nonlinear PDEs is devoted to describing and applying methods of generalized and functional separation of variables used to find exact solutions of nonlinear partial differential equations (PDEs). It also presents the direct method of symmetry reductions and its more general version. In addition, the authors describe the differential constraint method, which generalizes many other exact methods. The presentation involves numerous examples of utilizing the methods to find exact solutions to specific nonlinear equations of mathematical physics. The equations of heat and mass transfer, wave theory, hydrodynamics, nonlinear optics, combustion theory, chemical technology, biology, and other disciplines are studied. Particular attention is paid to nonlinear equations of a reasonably general form that depend on one or several arbitrary functions. Such equations are the most difficult to analyze. Their exact solutions are of significant practical interest, as they are suitable to assess the accuracy of various approximate analytical and numerical methods. The book contains new material previously unpublished in monographs. It is intended for a broad audience of scientists, engineers, instructors, and students specializing in applied and computational mathematics, theoretical physics, mechanics, control theory, chemical engineering science, and other disciplines. Individual sections of the book and examples are suitable for lecture courses on partial differential equations, equations of mathematical physics, and methods of mathematical physics, for delivering special courses and for practical training.

Handbook of Differential Equations

Author : Daniel Zwillinger
Publisher : CRC Press
ISBN 13 : 1000468186
Total Pages : 1265 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Handbook of Differential Equations by : Daniel Zwillinger

Download or read book Handbook of Differential Equations written by Daniel Zwillinger and published by CRC Press. This book was released on 2021-12-30 with total page 1265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through the previous three editions, Handbook of Differential Equations has proven an invaluable reference for anyone working within the field of mathematics, including academics, students, scientists, and professional engineers. The book is a compilation of methods for solving and approximating differential equations. These include the most widely applicable methods for solving and approximating differential equations, as well as numerous methods. Topics include methods for ordinary differential equations, partial differential equations, stochastic differential equations, and systems of such equations. Included for nearly every method are: The types of equations to which the method is applicable The idea behind the method The procedure for carrying out the method At least one simple example of the method Any cautions that should be exercised Notes for more advanced users The fourth edition includes corrections, many supplied by readers, as well as many new methods and techniques. These new and corrected entries make necessary improvements in this edition.