Applied Analysis Mathematics For Science Technology Engineering Third Edition

Author : Takashi Suzuki
Publisher : World Scientific
Page : 688 pages
File Size : 40,8 Mb
Release : 2022-04-28
Category : Mathematics
ISBN : 9789811257377

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Applied Analysis: Mathematics For Science, Technology, Engineering (Third Edition) by Takashi Suzuki Pdf

This book is to be a new edition of Applied Analysis. Several fundamental materials of applied and theoretical sciences are added, which are needed by the current society, as well as recent developments in pure and applied mathematics. New materials in the basic level are the mathematical modelling using ODEs in applied sciences, elements in Riemann geometry in accordance with tensor analysis used in continuum mechanics, combining engineering and modern mathematics, detailed description of optimization, and real analysis used in the recent study of PDEs. Those in the advance level are the integration of ODEs, inverse Strum Liouville problems, interface vanishing of the Maxwell system, method of gradient inequality, diffusion geometry, mathematical oncology. Several descriptions on the analysis of Smoluchowski-Poisson equation in two space dimension are corrected and extended, to ensure quantized blowup mechanism of this model, particularly, the residual vanishing both in blowup solution in finite time with possible collision of sub-collapses and blowup solutions in infinite time without it.

Author : Takashi Suzuki
Publisher : World Scientific
Page : 414 pages
File Size : 41,8 Mb
Release : 2024-01-22
Category : Mathematics
ISBN : 9789811287916

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Methods Of Geometry In The Theory Of Partial Differential Equations: Principle Of The Cancellation Of Singularities by Takashi Suzuki Pdf

Mathematical models are used to describe the essence of the real world, and their analysis induces new predictions filled with unexpected phenomena.In spite of a huge number of insights derived from a variety of scientific fields in these five hundred years of the theory of differential equations, and its extensive developments in these one hundred years, several principles that ensure these successes are discovered very recently.This monograph focuses on one of them: cancellation of singularities derived from interactions of multiple species, which is described by the language of geometry, in particular, that of global analysis.Five objects of inquiry, scattered across different disciplines, are selected in this monograph: evolution of geometric quantities, models of multi-species in biology, interface vanishing of d - δ systems, the fundamental equation of electro-magnetic theory, and free boundaries arising in engineering.The relaxation of internal tensions in these systems, however, is described commonly by differential forms, and the reader will be convinced of further applications of this principle to other areas.

Author : John R. Fanchi
Publisher : John Wiley & Sons
Page : 361 pages
File Size : 49,8 Mb
Release : 2006-06-12
Category : Mathematics
ISBN : 9780471791546

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Math Refresher for Scientists and Engineers by John R. Fanchi Pdf

Expanded coverage of essential math, including integral equations, calculus of variations, tensor analysis, and special integrals Math Refresher for Scientists and Engineers, Third Edition is specifically designed as a self-study guide to help busy professionals and students in science and engineering quickly refresh and improve the math skills needed to perform their jobs and advance their careers. The book focuses on practical applications and exercises that readers are likely to face in their professional environments. All the basic math skills needed to manage contemporary technology problems are addressed and presented in a clear, lucid style that readers familiar with previous editions have come to appreciate and value. The book begins with basic concepts in college algebra and trigonometry, and then moves on to explore more advanced concepts in calculus, linear algebra (including matrices), differential equations, probability, and statistics. This Third Edition has been greatly expanded to reflect the needs of today's professionals. New material includes: * A chapter on integral equations * A chapter on calculus of variations * A chapter on tensor analysis * A section on time series * A section on partial fractions * Many new exercises and solutions Collectively, the chapters teach most of the basic math skills needed by scientists and engineers. The wide range of topics covered in one title is unique. All chapters provide a review of important principles and methods. Examples, exercises, and applications are used liberally throughout to engage the readers and assist them in applying their new math skills to actual problems. Solutions to exercises are provided in an appendix. Whether to brush up on professional skills or prepare for exams, readers will find this self-study guide enables them to quickly master the math they need. It can additionally be used as a textbook for advanced-level undergraduates in physics and engineering.

Author : J. Tinsley Oden,Leszek Demkowicz
Publisher : CRC Press
Page : 672 pages
File Size : 48,7 Mb
Release : 1996-02-06
Category : Mathematics
ISBN : 084932551X

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Applied Functional Analysis, Second Edition by J. Tinsley Oden,Leszek Demkowicz Pdf

Functional analysis-the study of the properties of mathematical functions-is widely used in modern scientific and engineering disciplines, particularly in mathematical modeling and computer simulation. Applied Functional Analysis, the only textbook of its kind, is designed specifically for the graduate student in engineering and science who has little or no training in advanced mathematics. Comprehensive and easy-to-understand, this innovative textbook progresses from the essentials of preparatory mathematics to sophisticated functional analysis. This self-contained presentation requires few mathematical prerequisites and provides students with the fundamental concepts and theorems essential to mathematical analysis and modeling. Applied Functional Analysis combines various principles of mathematics, computer science, engineering, and science, laying the foundation for further specialty work in partial differential equations, approximation theory, numerical mathematics, control theory, mathematical physics, and related subjects. This new treatment of a classic subject outfits engineering and science majors with a graduate-level mathematics standing, otherwise accessible only through regular mathematics studies.

Author : John Tinsley Oden
Publisher : Prentice Hall
Page : 450 pages
File Size : 51,9 Mb
Release : 1979
Category : Mathematics
ISBN : MINN:31951000484161T

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Applied Functional Analysis by John Tinsley Oden Pdf

Author : E. B. Saff,Arthur David Snider
Publisher : Unknown
Page : 468 pages
File Size : 52,6 Mb
Release : 1998
Category : Mathematical analysis
ISBN : 9814024252

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Fundamentals of Complex Analysis for Mathematics, Science, and Engineering by E. B. Saff,Arthur David Snider Pdf

Author : Chris Chatfield
Publisher : Routledge
Page : 255 pages
File Size : 55,5 Mb
Release : 2018-02-19
Category : Mathematics
ISBN : 9781351414074

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Statistics for Technology by Chris Chatfield Pdf

One of the most popular introductory texts in its field, Statistics for Technology: A Course in Applied Studies presents the range of statistical methods commonly used in science, social science, and engineering.The mathematics are simple and straightforward; statistical concepts are explained carefully; and real-life (rather than contrived) examples are used throughout the chapters.Divided into three parts, the Introduction describes some simple methods of summarizing data. Theory examines the basic concepts and theory of statistics. Applications covers the planning and procedures of experiments, quality control, and life testing.Revised throughout, this Third Edition places a higher priority on the role of computers in analysis, and many new references have been incorporated. A new appendix describes general methods of tackling statistical problems, including guidance on literature searching and report writing.

Author : Norman W. Loney
Publisher : CRC Press
Page : 0 pages
File Size : 41,9 Mb
Release : 2015-10-16
Category : Mathematics
ISBN : 1466552999

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Applied Mathematical Methods for Chemical Engineers, Third Edition by Norman W. Loney Pdf

This book focuses on the application of mathematics to chemical engineering and addresses the setup and verification of mathematical models using experimental or other independently derived data. An expanded and updated version of its well-respected predecessor, this book uses worked examples to illustrate several mathematical methods that are essential in successfully solving process engineering problems. The book provides an introduction to differential equations common to chemical engineering, followed by examples of first-order and linear second-order ordinary differential equations. Later chapters examine Sturm–Liouville problems, Fourier series, integrals, linear partial differential equations, and regular perturbation.

Author : Hemen Dutta,James F. Peters
Publisher : Springer
Page : 810 pages
File Size : 55,6 Mb
Release : 2019-02-21
Category : Technology & Engineering
ISBN : 9783319999180

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Applied Mathematical Analysis: Theory, Methods, and Applications by Hemen Dutta,James F. Peters Pdf

This book addresses key aspects of recent developments in applied mathematical analysis and its use. It also highlights a broad range of applications from science, engineering, technology and social perspectives. Each chapter investigates selected research problems and presents a balanced mix of theory, methods and applications for the chosen topics. Special emphasis is placed on presenting basic developments in applied mathematical analysis, and on highlighting the latest advances in this research area. The book is presented in a self-contained manner as far as possible, and includes sufficient references to allow the interested reader to pursue further research in this still-developing field. The primary audience for this book includes graduate students, researchers and educators; however, it will also be useful for general readers with an interest in recent developments in applied mathematical analysis and applications.

Author : Mangey Ram,J. Paulo Davim
Publisher : CRC Press
Page : 334 pages
File Size : 53,5 Mb
Release : 2018-05-04
Category : Mathematics
ISBN : 9781351371896

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Advanced Mathematical Techniques in Engineering Sciences by Mangey Ram,J. Paulo Davim Pdf

The goal of this book is to publish the latest mathematical techniques, research, and developments in engineering. This book includes a comprehensive range of mathematics applied in engineering areas for different tasks. Various mathematical tools, techniques, strategies, and methods in engineering applications are covered in each chapter. Mathematical techniques are the strength of engineering sciences and form the common foundation of all novel disciplines within the field. Advanced Mathematical Techniques in Engineering Sciences provides an ample range of mathematical tools and techniques applied across various fields of engineering sciences. Using this book, engineers will gain a greater understanding of the practical applications of mathematics in engineering sciences. Features Covers the mathematical techniques applied in engineering sciences Focuses on the latest research in the field of engineering applications Provides insights on an international and transnational scale Offers new studies and research in modeling and simulation

Author : John K. Hunter,Bruno Nachtergaele
Publisher : World Scientific Publishing Company
Page : 0 pages
File Size : 53,8 Mb
Release : 2001
Category : Mathematical analysis
ISBN : 9812705430

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Applied Analysis by John K. Hunter,Bruno Nachtergaele Pdf

This book provides an introduction to those parts of analysis that are most useful in applications for graduate students. The material is selected for use in applied problems, and is presented clearly and simply but without sacrificing mathematical rigor.The text is accessible to students from a wide variety of backgrounds, including undergraduate students entering applied mathematics from non-mathematical fields and graduate students in the sciences and engineering who want to learn analysis. A basic background in calculus, linear algebra and ordinary differential equations, as well as some familiarity with functions and sets, should be sufficient.

Author : Said Gamil Ahmed,Hossein Jafari,Mukhtar Yagoub Youssif,Roberto Datja
Publisher : Bentham Science Publishers
Page : 280 pages
File Size : 40,5 Mb
Release : 2018-05-02
Category : Mathematics
ISBN : 9781681086514

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Numerical Analysis for Science, Engineering and Technology by Said Gamil Ahmed,Hossein Jafari,Mukhtar Yagoub Youssif,Roberto Datja Pdf

This textbook is intended as a guide for undergraduate and graduate students in engineering, science and technology courses. Chapters of the book cover the numerical concepts of errors, approximations, differential equations and partial differential equations. The simple presentation of numerical concepts and illustrative examples helps students and general readers to understand the topics covered in the text.

Author : Louis Albert Pipes
Publisher : Unknown
Page : 632 pages
File Size : 48,9 Mb
Release : 2013-09
Category : Electronic
ISBN : 1258804131

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Applied Mathematics for Engineers and Physicists by Louis Albert Pipes Pdf

Author : Mangey Ram,João Paulo Davim
Publisher : River Publishers
Page : 250 pages
File Size : 54,7 Mb
Release : 2018-05-02
Category : Mathematics
ISBN : 9788793609341

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Advanced Mathematical Techniques in Science and Engineering by Mangey Ram,João Paulo Davim Pdf

In recent years, mathematical techniques applied to novel disciplines within the science and engineering have experienced extraordinary growth. Advanced Mathematical Techniques in Science and Engineering focusses on a detailed range of mathematics applied within various fields of science and engineering for different tasks. Topics of focus include: Analysis of Consensus-Building Time in Social GroupsModeling of intersystem accidents in critical infrastructure systemsStochastic approaches to analysis and modeling of multi-sources and big dataPerformance evaluation of computational DoS attack on access point in Wireless LANsRanking methods for decision-making under uncertaintyUnderstanding time delay based Modeling & Diffusion of technological productsRole of soft computing in science and engineeringComplex system reliability analysis and optimizationTree growth models in forest ecosystems modelling This research book can be used as a reference for students in a final year undergraduate engineering course, such as mechanical, mechatronics, industrial, computer science, information technology, etc. Furthermore, the book can serve as a valuable reference for academics, engineers and researchers in these and related subject areas.

Author : Kwong-Tin Tang
Publisher : Springer Nature
Page : 498 pages
File Size : 52,8 Mb
Release : 2022-10-25
Category : Science
ISBN : 9783031056789

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Mathematical Methods for Engineers and Scientists 1 by Kwong-Tin Tang Pdf

The topics of this set of student-oriented books are presented in a discursive style that is readable and easy to follow. Numerous clearly stated, completely worked out examples together with carefully selected problem sets with answers are used to enhance students' understanding and manipulative skill. The goal is to help students feel comfortable and confident in using advanced mathematical tools in junior, senior, and beginning graduate courses.