Inside Interesting Integrals

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Inside Interesting Integrals

Author : Paul J. Nahin
ISBN : 9781493912773
Genre : Science
File Size : 78.32 MB
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What’s the point of calculating definite integrals since you can’t possibly do them all?. What makes doing the specific integrals in this book of value aren’t the specific answers we’ll obtain, but rather the methods we’ll use in obtaining those answers; methods you can use for evaluating the integrals you will encounter in the future. This book is written in a light-hearted manner for students who have completed the first year of college or high school AP calculus and have just a bit of exposure to the concept of a differential equation. Every result is fully derived. If you are fascinated by definite integrals, then this is a book for you.
Category: Science

Almost Impossible Integrals Sums And Series

Author : Cornel Ioan Vălean
ISBN : 9783030024628
Genre : Mathematics
File Size : 21.75 MB
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This book contains a multitude of challenging problems and solutions that are not commonly found in classical textbooks. One goal of the book is to present these fascinating mathematical problems in a new and engaging way and illustrate the connections between integrals, sums, and series, many of which involve zeta functions, harmonic series, polylogarithms, and various other special functions and constants. Throughout the book, the reader will find both classical and new problems, with numerous original problems and solutions coming from the personal research of the author. Where classical problems are concerned, such as those given in Olympiads or proposed by famous mathematicians like Ramanujan, the author has come up with new, surprising or unconventional ways of obtaining the desired results. The book begins with a lively foreword by renowned author Paul Nahin and is accessible to those with a good knowledge of calculus from undergraduate students to researchers, and will appeal to all mathematical puzzlers who love a good integral or series.
Category: Mathematics

Lectures On Quantum Mechanics

Author : Philip L. Bowers
ISBN : 9781108429764
Genre : Science
File Size : 58.24 MB
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A leisurely but mathematically honest presentation of quantum mechanics for graduate students in mathematics with an interest in physics.
Category: Science

Transients For Electrical Engineers

Author : Paul J. Nahin
ISBN : 9783319775982
Genre : Technology & Engineering
File Size : 24.29 MB
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This book offers a concise introduction to the analysis of electrical transients aimed at students who have completed introductory circuits and freshman calculus courses. While it is written under the assumption that these students are encountering transient electrical circuits for the first time, the mathematical and physical theory is not ‘watered-down.’ That is, the analysis of both lumped and continuous (transmission line) parameter circuits is performed with the use of differential equations (both ordinary and partial) in the time domain, and the Laplace transform. The transform is fully developed in the book for readers who are not assumed to have seen it before. The use of singular time functions (unit step and impulse) is addressed and illustrated through detailed examples. The appearance of paradoxical circuit situations, often ignored in many textbooks (because they are, perhaps, considered ‘difficult’ to explain) is fully embraced as an opportunity to challenge students. In addition, historical commentary is included throughout the book, to combat the misconception that the material in engineering textbooks was found engraved on Biblical stones, rather than painstakingly discovered by people of genius who often went down many wrong paths before finding the right one. MATLAB® is used throughout the book, with simple codes to quickly and easily generate transient response curves.
Category: Technology & Engineering

Integral Methods In Low Frequency Electromagnetics

Author : Pavel Solin
ISBN : 047050272X
Genre : Computers
File Size : 42.40 MB
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A modern presentation of integral methods in low-frequency electromagnetics This book provides state-of-the-art knowledge on integral methods in low-frequency electromagnetics. Blending theory with numerous examples, it introduces key aspects of the integral methods used in engineering as a powerful alternative to PDE-based models. Readers will get complete coverage of: The electromagnetic field and its basic characteristics An overview of solution methods Solutions of electromagnetic fields by integral expressions Integral and integrodifferential methods Indirect solutions of electromagnetic fields by the boundary element method Integral equations in the solution of selected coupled problems Numerical methods for integral equations All computations presented in the book are done by means of the authors' own codes, and a significant amount of their own results is included. At the book's end, they also discuss novel integral techniques of a higher order of accuracy, which are representative of the future of this rapidly advancing field. Integral Methods in Low-Frequency Electromagnetics is of immense interest to members of the electrical engineering and applied mathematics communities, ranging from graduate students and PhD candidates to researchers in academia and practitioners in industry.
Category: Computers

Applied Complex Analysis With Partial Differential Equations

Author : Nakhlé H. Asmar
ISBN : UVA:X004635768
Genre : Mathematics
File Size : 89.91 MB
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This reader-friendly book presents traditional material using a modern approach that invites the use of technology. Abundant exercises, examples, and graphics make it a comprehensive and visually appealing resource. Chapter topics include complex numbers and functions, analytic functions, complex integration, complex series, residues: applications and theory, conformal mapping, partial differential equations: methods and applications, transform methods, and partial differential equations in polar and spherical coordinates. For engineers and physicists in need of a quick reference tool.
Category: Mathematics

The Monte Carlo Method Of Evaluating Integrals

Author : Daniel T. Gillespie
ISBN : UCBK:B000883509
Genre : Integrals, Definite
File Size : 85.80 MB
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This monograph is a tutorial presentation of the Monte Carlo method of numerically estimating definite integrals. Intended primarily for scientists and engineers, and assuming very little background in probability theory, the monograph attempts to convey a clear understanding of what the Monte Carlo method is, why it works, and how it can be used to evaluate complicated (and often otherwise intractable) multidimensional integrals. General methods are developed for generating sets of random points having prescribed biases; procedures are outlined for using such random points to obtain an estimate of the value of a given integral and the uncertainty associated with this estimate; and techniques are described for reducing the uncertainty without significantly increasing the computation time.
Category: Integrals, Definite

Complex Analysis With Mathematica

Author : William T. Shaw
ISBN : 9780521836265
Genre : Computers
File Size : 74.51 MB
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This book presents a way of learning complex analysis, using Mathematica. Includes CD with electronic version of the book.
Category: Computers

Mathematical Reviews

Author :
ISBN : UOM:39015078588798
Genre : Mathematics
File Size : 63.53 MB
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Category: Mathematics

Neutron Dosimetry

Author : H. G. Menzel
ISBN : UOM:39015039839967
Genre : Neutrons
File Size : 37.75 MB
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Category: Neutrons

The United States Catalog

Author :
ISBN : WISC:89015340789
Genre : American literature
File Size : 83.93 MB
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Category: American literature

Scale Space And Variational Methods In Computer Vision

Author : Xue-Cheng Tai
ISBN : 9783642022555
Genre : Computers
File Size : 22.84 MB
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This book constitutes the refereed proceedings of the Second International Conference on Scale Space Methods and Variational Methods in Computer Vision, SSVM 2009, emanated from the joint edition of the 5th International Workshop on Variational, Geometric and Level Set Methods in Computer Vision, VLSM 2009 and the 7th International Conference on Scale Space and PDE Methods in Computer Vision, Scale-Space 2009, held in Voss, Norway in June 2009. The 71 revised full papers presented were carefully reviewed and selected numerous submissions. The papers are organized in topical sections on segmentation and detection; image enhancement and reconstruction; motion analysis, optical flow, registration and tracking; surfaces and shapes; scale space and feature extraction.
Category: Computers