Essential Mathematics For The Physical Sciences Volume 1
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Essential Mathematics For The Physical Sciences Volume 1
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Author : Brett Borden
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2017-10-31
Essential Mathematics For The Physical Sciences Volume 1 written by Brett Borden and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-31 with Science categories.
Physics is expressed in the language of mathematics; it is deeply ingrained in how physics is taught and how it's practiced. A study of the mathematics used in science is thus asound intellectual investment for training as scientists and engineers. This first volume of two is centered on methods of solving partial differential equations (PDEs) and the special functions introduced. Solving PDEs can't be done, however, outside of the context in which they apply to physical systems. The solutions to PDEs must conform to boundary conditions, a set of additional constraints in space or time to be satisfied at the boundaries of the system, that small part of the universe under study. The first volume is devoted to homogeneous boundary-value problems (BVPs), homogeneous implying a system lacking a forcing function, or source function. The second volume takes up (in addition to other topics) inhomogeneous problems where, in addition to the intrinsic PDE governing a physical field, source functions are an essential part of the system. This text is based on a course offered at the Naval Postgraduate School (NPS) and while produced for NPS needs, it will serve other universities well. It is based on the assumption that it follows a math review course, and was designed to coincide with the second quarter of student study, which is dominated by BVPs but also requires an understanding of special functions and Fourier analysis.
Mathematical Methods In Physics Engineering And Chemistry
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Author : Brett Borden
language : en
Publisher: John Wiley & Sons
Release Date : 2019-11-12
Mathematical Methods In Physics Engineering And Chemistry written by Brett Borden and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-12 with Science categories.
A concise and up-to-date introduction to mathematical methods for students in the physical sciences Mathematical Methods in Physics, Engineering and Chemistry offers an introduction to the most important methods of theoretical physics. Written by two physics professors with years of experience, the text puts the focus on the essential math topics that the majority of physical science students require in the course of their studies. This concise text also contains worked examples that clearly illustrate the mathematical concepts presented and shows how they apply to physical problems. This targeted text covers a range of topics including linear algebra, partial differential equations, power series, Sturm-Liouville theory, Fourier series, special functions, complex analysis, the Green’s function method, integral equations, and tensor analysis. This important text: Provides a streamlined approach to the subject by putting the focus on the mathematical topics that physical science students really need Offers a text that is different from the often-found definition-theorem-proof scheme Includes more than 150 worked examples that help with an understanding of the problems presented Presents a guide with more than 200 exercises with different degrees of difficulty Written for advanced undergraduate and graduate students of physics, materials science, and engineering, Mathematical Methods in Physics, Engineering and Chemistry includes the essential methods of theoretical physics. The text is streamlined to provide only the most important mathematical concepts that apply to physical problems.
Mathematics For The Physical Sciences
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Author : James B. Seaborn
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematics For The Physical Sciences written by James B. Seaborn and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
This book is intended to provide a mathematical bridge from a general physics course to intermediate-level courses in classical mechanics, electricity and mag netism, and quantum mechanics. The book begins with a short review of a few topics that should be familiar to the student from a general physics course. These examples will be used throughout the rest of the book to provide physical con texts for introducing the mathematical applications. The next two chapters are devoted to making the student familiar with vector operations in algebra and cal culus. Students will have already become acquainted with vectors in the general physics course. The notion of magnetic flux provides a physical connection with the integral theorems of vector calculus. A very short chapter on complex num bers is sufficient to supply the needed background for the minor role played by complex numbers in the remainder of the text. Mathematical applications in in termediate and advanced undergraduate courses in physics are often in the form of ordinary or partial differential equations. Ordinary differential equations are introduced in Chapter 5. The ubiquitous simple harmonic oscillator is used to il lustrate the series method of solving an ordinary, linear, second-order differential equation. The one-dimensional, time-dependent SchrOdinger equation provides an illus tration for solving a partial differential equation by the method of separation of variables in Chapter 6.
Basic Mathematics For The Physical Sciences
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Author : Robert Lambourne
language : en
Publisher: John Wiley & Sons
Release Date : 2000-04-07
Basic Mathematics For The Physical Sciences written by Robert Lambourne and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-04-07 with Science categories.
This textbook provides a thorough introduction to the essential mathematical techniques needed in the physical sciences. Carefully structured as a series of self-paced and self-contained chapters, this text covers the basic techniques on which more advanced material is built. Starting with arithmetic and algebra, the text then moves on to cover basic elements of geometry, vector algebra, differentiation and finally integration, all within an applied environment. The reader is guided through these different techniques with the help of numerous worked examples, applications, problems, figures, and summaries. The authors provide high-quality and thoroughly class-tested material to meet the changing needs of science students. The book: * Is a carefully structured text, with self-contained chapters. * Gradually introduces mathematical techniques within an applied environment. * Includes many worked examples, applications, problems, and summaries in each chapter. This text is an essential resource for all students of physics, chemistry and engineering, needing to develop or refresh their knowledge of basic mathematics. The book's structure makes it equally valuable for course use, home study or distance learning.
Naval Training Bulletin
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Author :
language : en
Publisher:
Release Date : 1946
Naval Training Bulletin written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1946 with Naval education categories.
U S Naval Training Bulletin
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Author :
language : en
Publisher:
Release Date : 1949
U S Naval Training Bulletin written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1949 with Naval education categories.
Essential Math For Ai
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Author : Hala Nelson
language : en
Publisher: "O'Reilly Media, Inc."
Release Date : 2023-01-04
Essential Math For Ai written by Hala Nelson and has been published by "O'Reilly Media, Inc." this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-04 with Computers categories.
Companies are scrambling to integrate AI into their systems and operations. But to build truly successful solutions, you need a firm grasp of the underlying mathematics. This accessible guide walks you through the math necessary to thrive in the AI field such as focusing on real-world applications rather than dense academic theory. Engineers, data scientists, and students alike will examine mathematical topics critical for AI--including regression, neural networks, optimization, backpropagation, convolution, Markov chains, and more--through popular applications such as computer vision, natural language processing, and automated systems. And supplementary Jupyter notebooks shed light on examples with Python code and visualizations. Whether you're just beginning your career or have years of experience, this book gives you the foundation necessary to dive deeper in the field. Understand the underlying mathematics powering AI systems, including generative adversarial networks, random graphs, large random matrices, mathematical logic, optimal control, and more Learn how to adapt mathematical methods to different applications from completely different fields Gain the mathematical fluency to interpret and explain how AI systems arrive at their decisions
By Good And Necessary Consequence
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Author : Carlos R. Bovell
language : en
Publisher: Wipf and Stock Publishers
Release Date : 2009-06-05
By Good And Necessary Consequence written by Carlos R. Bovell and has been published by Wipf and Stock Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-05 with Religion categories.
By Good and Necessary Consequence presents a critical examination of the reasoning behind the "good and necessary consequence" clause in the Westminster Confession of Faith and makes five observations regarding its suitability for contemporary Reformed and evangelical adherents. 1) In the seventeenth century, religious leaders in every quarter were expected to respond to a thoroughgoing, cultural skepticism. 2) In response to the onslaught of cultural and epistemological skepticism, many looked to mimic as far as possible the deductive methods of mathematicians. 3) The use to which biblicist foundationalism was put by the Westminster divines is at variance with the classical invention, subsequent appropriation, and contemporary estimation of axiomatic and deductive methodology. 4) Although such methodological developments in theology might have seemed natural during the seventeenth century, their epistemological advantage is not evident today. 5) When a believer's faith is epistemologically ordered in a biblicist foundationalist way, once the foundation--the axiomatic use of a veracious scripture--is called into question, the entire faith is in serious danger of crashing down. In a nutshell, Bovell argues that it is not wise to structure the Christian faith in this biblicist foundationalist way, and that it is high time alternate approaches be sought.
Research In Education
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Author :
language : en
Publisher:
Release Date : 1972
Research In Education written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Education categories.
Resources In Education
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Author :
language : en
Publisher:
Release Date : 1990
Resources In Education written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Education categories.