Download or read book Partial Differential Equations written by Rustum Choksi and published by American Mathematical Society. This book was released on 2022-04-04 with total page 647 pages. Available in PDF, EPUB and Kindle. Book excerpt: While partial differential equations (PDEs) are fundamental in mathematics and throughout the sciences, most undergraduate students are only exposed to PDEs through the method of separation of variations. This text is written for undergraduate students from different cohorts with one sole purpose: to facilitate a proficiency in many core concepts in PDEs while enhancing the intuition and appreciation of the subject. For mathematics students this will in turn provide a solid foundation for graduate study. A recurring theme is the role of concentration as captured by Dirac's delta function. This both guides the student into the structure of the solution to the diffusion equation and PDEs involving the Laplacian and invites them to develop a cognizance for the theory of distributions. Both distributions and the Fourier transform are given full treatment. The book is rich with physical motivations and interpretations, and it takes special care to clearly explain all the technical mathematical arguments, often with pre-motivations and post-reflections. Through these arguments the reader will develop a deeper proficiency and understanding of advanced calculus. While the text is comprehensive, the material is divided into short sections, allowing particular issues/topics to be addressed in a concise fashion. Sections which are more fundamental to the text are highlighted, allowing the instructor several alternative learning paths. The author's unique pedagogical style also makes the text ideal for self-learning.
Download or read book Interpretable Machine Learning written by Christoph Molnar and published by Lulu.com. This book was released on 2020 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about making machine learning models and their decisions interpretable. After exploring the concepts of interpretability, you will learn about simple, interpretable models such as decision trees, decision rules and linear regression. Later chapters focus on general model-agnostic methods for interpreting black box models like feature importance and accumulated local effects and explaining individual predictions with Shapley values and LIME. All interpretation methods are explained in depth and discussed critically. How do they work under the hood? What are their strengths and weaknesses? How can their outputs be interpreted? This book will enable you to select and correctly apply the interpretation method that is most suitable for your machine learning project.
Download or read book ADVANCED CALCULUS PARTIAL DIFFERENTIAL EQUATIONS written by B.R. THAKUR and published by Ram Prasad Publications(R.P.H.). This book was released on with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unit-I 0. Historical Background .... i-iii 1. Field Structure and Ordered Structure of R, Intervals, Bounded and unbounded sets, Supremum and infimum, Completeness in R, Absolute value of a real Number .... 1-33 2. Sequence of Real Numbers, Limit of a Sequence, Bounded and Monotonic Sequences, Cauchy’s General Principle of Convergence, Algebra of Sequence and Some Important Theorems .... 34-80 Unit-II 3. Series of non-negative terms, Convergence of positive term series .... 81-146 4. Alternating Series and Leibrintr’s test, Absolute and conditional convergence of Series of real Terms .... 147-163 5. Uniform Continuity .... 164-185 6. Chain Rule of Differentiability .... 186-202 7. Mean Value Theorems and Their Geometrical Interpretations .... 203-228 Unit-III 8. Limit and continuity of functions of two variables .... 229-256 9. Change of Variables .... 257-280 10. Euler’s Theorem on Homogeneous Functions .... 281-294 11. Taylor’s Theorem For functions of two Variables .... 295-307 12. Jacobians .... 308-337 13. Maxima and Minima of Functions of Two Variables .... 338-354 14. Lagrange’s Multipliers Method .... 355-367 15. Beta and Gamma Functions .... 368-395 Unit-IV 16. Partial Differential Equations of The first order .... 396-415 17. Lagrange’s Solution .... 416-440 18. Some Special types of equations which can be solved easily by methods other than the general method .... 441-462 19. Charpit’s General Method .... 463-474 20. Partial Differential Equation of Second and Higher Order .... 475-485 Unit-V 21. Classification of Partial Differential Equations of Second Order .... 486-494 22. Homogeneous and Non-homogeneous Partial Differential Equations of Constant coefficients .... 495-541 23. Partial Differential Equations Reducible to Equtions with Constant Coefficients .... 542-551
Download or read book Modern Geotechnical Design Codes of Practice written by Patrick Arnold and published by IOS Press. This book was released on 2013 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ground is one of the most highly variable of engineering materials. It is therefore not surprising that geotechnical designs depend on local site conditions and local engineering experience. Engineering practices, relating to investigation and design methods site understanding and to safety levels acceptable to society, will therefore vary between different regions.The challenge in geotechnical engineering is to make use of worldwide geotechnical experience, established over many years, to aid in the development and harmonization of geotechnical design codes. Given the significant uncertainties involved, empiricism and engineering
Download or read book Social Economics written by Friedrich Freiherr von Wieser and published by New York : Greenberg. This book was released on 1927 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Concrete Masonry Designer s Handbook written by Anton Fried and published by CRC Press. This book was released on 2014-04-21 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new edition of a well-known and respected book. This book provides a thorough guide for structural engineers on the use of concrete masonry. The second edition of the Concrete Masonry Designer's Handbook is the only handbook to provide information on all the new CEN TC125 masonry standards, as well as detailed guidance on design to Eurocode 6. Th
Download or read book Supplementary Educational Monographs written by and published by . This book was released on 1928 with total page 842 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Statistical Applications for Environmental Analysis and Risk Assessment written by Joseph Ofungwu and published by John Wiley & Sons. This book was released on 2014-05-06 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical Applications for Environmental Analysis and Risk Assessment guides readers through real-world situations and the best statistical methods used to determine the nature and extent of the problem, evaluate the potential human health and ecological risks, and design and implement remedial systems as necessary. Featuring numerous worked examples using actual data and “ready-made” software scripts, Statistical Applications for Environmental Analysis and Risk Assessment also includes: • Descriptions of basic statistical concepts and principles in an informal style that does not presume prior familiarity with the subject • Detailed illustrations of statistical applications in the environmental and related water resources fields using real-world data in the contexts that would typically be encountered by practitioners • Software scripts using the high-powered statistical software system, R, and supplemented by USEPA’s ProUCL and USDOE’s VSP software packages, which are all freely available • Coverage of frequent data sample issues such as non-detects, outliers, skewness, sustained and cyclical trend that habitually plague environmental data samples • Clear demonstrations of the crucial, but often overlooked, role of statistics in environmental sampling design and subsequent exposure risk assessment.
Download or read book Geotechnical Design to Eurocode 7 written by Trevor L.L. Orr and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to explain the philosophy set out in Eurocode 7, the new European code of practice for geotechnical design, and, by means of series of typical examples, to show how this philosophy is used in practice. This book is aimed at: • practising engineers, to assist them to carry out geotechnical designs to Eurocode 7 using the limit state design method and partial factors; • lecturers and students on courses where design to Eurocode 7 is being taught. It is envisaged that practising engineers, using this book to assist them carry out geotechnical designs to Eurocode 7, will have access to the prestandard version of Eurocode 7, ENV 1997 -I, so the authors have concentrated on the main principles and have not provided a commentary on all the clauses. However sufficient detail has been included in the book to enable it to be used on its own by those learning the design principles who may not have access to Eurocode 7. For example, the values of the partial factors and the principal equations given in Eurocode 7 have been included and these are used in the design examples in this book. To assist the reader, the numbering, layout and titles of the chapters closely follow those presented in Eurocode 7.
Download or read book American Civil Engineers Pocket Book written by Mansfield Merriman and published by . This book was released on 1911 with total page 1404 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Principles of Econometrics written by R. Carter Hill and published by John Wiley & Sons. This book was released on 2018-02-21 with total page 1808 pages. Available in PDF, EPUB and Kindle. Book excerpt: Principles of Econometrics, Fifth Edition, is an introductory book for undergraduate students in economics and finance, as well as first-year graduate students in a variety of fields that include economics, finance, accounting, marketing, public policy, sociology, law, and political science. Students will gain a working knowledge of basic econometrics so they can apply modeling, estimation, inference, and forecasting techniques when working with real-world economic problems. Readers will also gain an understanding of econometrics that allows them to critically evaluate the results of others’ economic research and modeling, and that will serve as a foundation for further study of the field. This new edition of the highly-regarded econometrics text includes major revisions that both reorganize the content and present students with plentiful opportunities to practice what they have read in the form of chapter-end exercises.
Download or read book American Civil Engineers Handbook written by Mansfield Merriman and published by . This book was released on 1920 with total page 1964 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Petroleum Engineering written by Robert William Phelps and published by . This book was released on 1927 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Essentials of Mental Measurement written by William Brown and published by . This book was released on 1911 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Encyclopaedia Britannica written by and published by . This book was released on 1888 with total page 922 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Encyclop dia Britannica written by and published by . This book was released on 1895 with total page 980 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nature Inspired Algorithms for Optimisation written by Raymond Chiong and published by Springer. This book was released on 2009-05-02 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nature-Inspired Algorithms have been gaining much popularity in recent years due to the fact that many real-world optimisation problems have become increasingly large, complex and dynamic. The size and complexity of the problems nowadays require the development of methods and solutions whose efficiency is measured by their ability to find acceptable results within a reasonable amount of time, rather than an ability to guarantee the optimal solution. This volume 'Nature-Inspired Algorithms for Optimisation' is a collection of the latest state-of-the-art algorithms and important studies for tackling various kinds of optimisation problems. It comprises 18 chapters, including two introductory chapters which address the fundamental issues that have made optimisation problems difficult to solve and explain the rationale for seeking inspiration from nature. The contributions stand out through their novelty and clarity of the algorithmic descriptions and analyses, and lead the way to interesting and varied new applications.
