Download or read book The Divergence Theorem and Sets of Finite Perimeter written by Washek F. Pfeffer and published by CRC Press. This book was released on 2016-02-03 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to a detailed development of the divergence theorem. The framework is that of Lebesgue integration- no generalized Riemann integrals of Henstock-Kurzweil variety are involved.In Part I the divergence theorem is established by a combinatorial argument involving dyadic cubes. Only elementary properties of the Lebesgue integral an
Download or read book The Divergence Theorem for Discontinuous Vector Fields written by Victor Lenard Shapiro and published by . This book was released on 1957 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Introduction to Fluid Mechanics written by Faith A. Morrison and published by Cambridge University Press. This book was released on 2013-04-15 with total page 945 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a modern and elegant introduction to engineering fluid mechanics enriched with numerous examples, exercises and applications. A swollen creek tumbles over rocks and through crevasses, swirling and foaming. Taffy can be stretched, reshaped and twisted in various ways. Both the water and the taffy are fluids and their motions are governed by the laws of nature. The aim of this textbook is to introduce the reader to the analysis of flows using the laws of physics and the language of mathematics. The book delves deeply into the mathematical analysis of flows; knowledge of the patterns fluids form and why they are formed, and also the stresses fluids generate and why they are generated, is essential to designing and optimising modern systems and devices. Inventions such as helicopters and lab-on-a-chip reactors would never have been designed without the insight provided by mathematical models.
Download or read book Essentials of Electromagnetism written by David Dugdale and published by Springer Science & Business Media. This book was released on 1997-05-08 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Market: Students in undergraduate courses in electromagnetism. This innovative textbook provides students with a modern view of the unity of electromagnetism by forsaking the traditional historically ordered development for a more logically ordered one. This approach involves the introduction of Maxwell's equations at the earliest opportunity to serve as the basis for everything that follows.
Download or read book Multivariable Calculus written by David Damiano and published by Jones & Bartlett Publishers. This book was released on 2012 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written for mathematics, science, and engineering majors who have completed the traditional two-term course in single variable calculus, Multivariable Calculus bridges the gap between mathematical concepts and their real-world applications outside of mathematics. The ideas of multivariable calculus are presented in a context that is informed by their non-mathematical applications. It incorporates collaborative learning strategies and the sophisticated use of technology, which asks students to become active participants in the development of their own understanding of mathematical ideas. This teaching and learning strategy urges students to communicate mathematically, both orally and in writing. With extended examples and exercises and a student-friendly accessible writing style, Multivariable Calculus is an exciting and engaging journey into mathematics relevant to students everyday lives.
Download or read book Essentials of Mathematical Methods in Science and Engineering written by Selcuk S. Bayin and published by John Wiley & Sons. This book was released on 2013-06-05 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete introduction to the multidisciplinary applications of mathematical methods In order to work with varying levels of engineering and physics research, it is important to have a firm understanding of key mathematical concepts such as advanced calculus, differential equations, complex analysis, and introductory mathematical physics. Essentials of Mathematical Methods in Science and Engineering provides a comprehensive introduction to these methods under one cover, outlining basic mathematical skills while also encouraging students and practitioners to develop new, interdisciplinary approaches to their research. The book begins with core topics from various branches of mathematics such as limits, integrals, and inverse functions. Subsequent chapters delve into the analytical tools that are commonly used in scientific and engineering studies, including vector analysis, generalized coordinates, determinants and matrices, linear algebra, complex numbers, complex analysis, and Fourier series. The author provides an extensive chapter on probability theory with applications to statistical mechanics and thermodynamics that complements the following chapter on information theory, which contains coverage of Shannon's theory, decision theory, game theory, and quantum information theory. A comprehensive list of references facilitates further exploration of these topics. Throughout the book, numerous examples and exercises reinforce the presented concepts and techniques. In addition, the book is in a modular format, so each chapter covers its subject thoroughly and can be read independently. This structure affords flexibility for individualizing courses and teaching. Providing a solid foundation and overview of the various mathematical methods and applications in multidisciplinary research, Essentials of Mathematical Methods in Science and Engineering is an excellent text for courses in physics, science, mathematics, and engineering at the upper-undergraduate and graduate levels. It also serves as a useful reference for scientists and engineers who would like a practical review of mathematical methods.
Download or read book Differential Equations and Vector Calculus written by Dr T.K.V. Iyengar & Dr B. Krishna Gandhi & S. Ranganadham & Dr M.V.S.S.N. Prasad and published by S. Chand Publishing. This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, how to solve such type equations has been elaborately described. In this book, vector differential calculus is considered, which extends the basic concepts of (ordinary) differential calculus, such as, continuity and differentiability to vector functions in a simple and natural way. This book comprises previous question papers problems at appropriate places and also previous GATE questions at the end of each chapter for the
Download or read book Mathematics for Physical Science and Engineering written by Frank E. Harris and published by Academic Press. This book was released on 2014-05-24 with total page 787 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics for Physical Science and Engineering is a complete text in mathematics for physical science that includes the use of symbolic computation to illustrate the mathematical concepts and enable the solution of a broader range of practical problems. This book enables professionals to connect their knowledge of mathematics to either or both of the symbolic languages Maple and Mathematica. The book begins by introducing the reader to symbolic computation and how it can be applied to solve a broad range of practical problems. Chapters cover topics that include: infinite series; complex numbers and functions; vectors and matrices; vector analysis; tensor analysis; ordinary differential equations; general vector spaces; Fourier series; partial differential equations; complex variable theory; and probability and statistics. Each important concept is clarified to students through the use of a simple example and often an illustration. This book is an ideal reference for upper level undergraduates in physical chemistry, physics, engineering, and advanced/applied mathematics courses. It will also appeal to graduate physicists, engineers and related specialties seeking to address practical problems in physical science. Clarifies each important concept to students through the use of a simple example and often an illustration Provides quick-reference for students through multiple appendices, including an overview of terms in most commonly used applications (Mathematica, Maple) Shows how symbolic computing enables solving a broad range of practical problems
Download or read book Foundations of Potential Theory written by Oliver Dimon Kellogg and published by Read Books Ltd. This book was released on 2011-03-23 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume gives a systematic treatment of potential functions. It takes its origin in two courses, one elementary and one advanced, which the author has given at intervals during the last ten years, and has a two-fold purpose first, to serve as an introduction for students whose attainments in the Calculus include some knowledge of partial derivatives and multiple and line integrals and secondly, to provide the reader with the fundamentals of the subject, so that he may proceed immediately to the applications, or to - the periodical literature of the day. It is inherent in the nature of the subject that physical intuition and illustration be appealed to freely, and this has been done. However, in order that the ok may present sound ideals to the student, and also serve the mathematician, both for purposes of reference and as a basis for further developments, the proofs have been given by rigorous methods. This has led, at a number of points, to results either not found elsewhere, or not readily accessible. Thus, Chapter IV contains a proof for the general regular region of the divergence theorem Gauss, or Greens theorem on the reduction of volume to surface integrals. The treatment of the fundamental existence theorems in Chapter XI by means of integral equations meets squarely the difficulties incident to the discontinuity of the kernel, and the same chapter gives an account of the most recent developments with respect to the Pirichlet problem. Exercises are introduced in the conviction that no mastery of a mathematical subject is possible without working with it. They are designed primarily to illustrate or extend the theory, although the desirability of requiring an occasional concrete numerical result has not been lost sight of.
Download or read book Introduction to Petroleum Seismology written by Luc Ikelle and published by SEG Books. This book was released on 2005 with total page 707 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing theoretical and practical background, the book's first part covers fundamental physics principles to elastodynamic wave propagation. The second part discusses modern developments such as multicomponent data, multiple elimination, AVO, anisotropy, linear anelasticity, Fourier and wavelet representations, and higher-order statistics.
Download or read book Calculus with Analytic Geometry written by Earl William Swokowski and published by Taylor & Francis. This book was released on 1979 with total page 1120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Vectors in Physics and Engineering written by Alan Durrant and published by Routledge. This book was released on 2019-02-25 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is an introduction to the use of vectors in a wide range of undergraduate disciplines. It is written specifically to match the level of experience and mathematical qualifications of students entering undergraduate and Higher National programmes and it assumes only a minimum of mathematical background on the part of the reader. Basic mathematics underlying the use of vectors is covered, and the text goes from fundamental concepts up to the level of first-year examination questions in engineering and physics. The material treated includes electromagnetic waves, alternating current, rotating fields, mechanisms, simple harmonic motion and vibrating systems. There are examples and exercises and the book contains many clear diagrams to complement the text. The provision of examples allows the student to become proficient in problem solving and the application of the material to a range of applications from science and engineering demonstrates the versatility of vector algebra as an analytical tool.
Download or read book Partial Differential Equations Methods Applications And Theories 2nd Edition written by Harumi Hattori and published by World Scientific. This book was released on 2019-06-24 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory level textbook for partial differential equations (PDEs). It is suitable for a one-semester undergraduate level or two-semester graduate level course in PDEs or applied mathematics. This volume is application-oriented and rich in examples. Going through these examples, the reader is able to easily grasp the basics of PDEs.Chapters One to Five are organized to aid understanding of the basic PDEs. They include the first-order equations and the three fundamental second-order equations, i.e. the heat, wave and Laplace equations. Through these equations, we learn the types of problems, how we pose the problems, and the methods of solutions such as the separation of variables and the method of characteristics. The modeling aspects are explained as well. The methods introduced in earlier chapters are developed further in Chapters Six to Twelve. They include the Fourier series, the Fourier and the Laplace transforms, and the Green's functions. Equations in higher dimensions are also discussed in detail. In this second edition, a new chapter is added and numerous improvements have been made including the reorganization of some chapters. Extensions of nonlinear equations treated in earlier chapters are also discussed.Partial differential equations are becoming a core subject in Engineering and the Sciences. This textbook will greatly benefit those studying in these subjects by covering basic and advanced topics in PDEs based on applications.
Download or read book Mechanics of Granular Materials An Introduction written by K. Iwashita and published by CRC Press. This book was released on 2020-08-13 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook compiles reports written by about 35 internationally recognized authorities, and covers a range of interests for geotechnical engineers. Topics include: fundamentals for mechanics of granular materials; continuum theory of granular materials; and discrete element approaches.
Download or read book Electricity and Magnetism written by Munir H. Nayfeh and published by Courier Dover Publications. This book was released on 2015-02-09 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: This outstanding text for a two-semester course is geared toward physics undergraduates who have completed a basic first-year physics course. The coherent treatment offers several notable features, including 300 detailed examples at various levels of difficulty, a self-contained chapter on vector algebra, and a single chapter devoted to radiation that cites interrelationships between various analysis methods. Starting with chapters on vector analysis and electrostatics, the text covers electrostatic boundary value problems, formal and microscopic theories of dielectric electrostatics and of magnetism and matter, electrostatic energy, steady currents, and induction. Additional topics include magnetic energy, circuits with nonsteady currents, Maxwell's equations, radiation, electromagnetic boundary value problems, and the special theory of relativity. Exercises appear at the end of each chapter and answers to odd-numbered problems are included in one of several helpful appendixes.
Download or read book Partial Differential Equations written by Michael Shearer and published by Princeton University Press. This book was released on 2015-03-01 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible yet rigorous introduction to partial differential equations This textbook provides beginning graduate students and advanced undergraduates with an accessible introduction to the rich subject of partial differential equations (PDEs). It presents a rigorous and clear explanation of the more elementary theoretical aspects of PDEs, while also drawing connections to deeper analysis and applications. The book serves as a needed bridge between basic undergraduate texts and more advanced books that require a significant background in functional analysis. Topics include first order equations and the method of characteristics, second order linear equations, wave and heat equations, Laplace and Poisson equations, and separation of variables. The book also covers fundamental solutions, Green's functions and distributions, beginning functional analysis applied to elliptic PDEs, traveling wave solutions of selected parabolic PDEs, and scalar conservation laws and systems of hyperbolic PDEs. Provides an accessible yet rigorous introduction to partial differential equations Draws connections to advanced topics in analysis Covers applications to continuum mechanics An electronic solutions manual is available only to professors An online illustration package is available to professors
Download or read book Engineering Mathematics I For Wbut written by Ram Babu and published by Pearson Education India. This book was released on 2010-09 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt:
