Advanced Techniques In Applied Mathematics

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Advanced Techniques In Applied Mathematics

Frank Smith,Tom Fearn,Shaun Bullett
Advanced Techniques In Applied Mathematics Book PDF

Author : Frank Smith,Tom Fearn,Shaun Bullett
Publisher : World Scientific
Page : 204 pages
File Size : 50,9 Mb
Release : 2016-05-12
Category : Mathematics
ISBN : 9781786340245

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Advanced Techniques In Applied Mathematics by Frank Smith,Tom Fearn,Shaun Bullett Pdf

This book is a guide to advanced techniques used widely in applied mathematical sciences research. Chapter by chapter, readers will be led from a foundation level understanding to advanced level understanding. This is the perfect text for graduate or PhD mathematical-science students looking for support in techniques such as practical analytical methods, finite elements and symmetry methods for differential equations.Advanced Techniques in Applied Mathematics is the first volume of the LTCC Advanced Mathematics Series. This series is the first to provide advanced introductions to mathematical science topics to advanced students of mathematics. Edited by the three joint heads of the London Taught Course Centre for PhD Students in the Mathematical Sciences (LTCC), each book supports readers in broadening their mathematical knowledge outside of their immediate research disciplines while also covering specialized key areas.

Advanced Techniques in Applied Mathematics

Shaun Bullett
Advanced Techniques in Applied Mathematics Book PDF

Author : Shaun Bullett
Publisher : Unknown
Page : 196 pages
File Size : 47,6 Mb
Release : 2016
Category : Differential equations
ISBN : 1786340232

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Advanced Techniques in Applied Mathematics by Shaun Bullett Pdf

"This book is a guide to advanced techniques used widely in applied mathematical sciences research. Chapter by chapter, readers will be led from a foundation level understanding to advanced level understanding. This is the perfect text for graduate or PhD mathematical-science students looking for support in techniques such as practical analytical methods, finite elements and symmetry methods for differential equations. Advanced Techniques in Applied Mathematics is the first volume of the LTCC Advanced Mathematics Series. This series is the first to provide advanced introductions to mathematical science topics to advanced students of mathematics. Edited by the three joint heads of the London Taught Course Centre for PhD Students in the Mathematical Sciences (LTCC), each book supports readers in broadening their mathematical knowledge outside of their immediate research disciplines while also covering specialized key areas."--

Theoretical Numerical Analysis

Peter Linz
Theoretical Numerical Analysis Book PDF

Author : Peter Linz
Publisher : Courier Dover Publications
Page : 242 pages
File Size : 40,6 Mb
Release : 2019-06-12
Category : Mathematics
ISBN : 9780486840901

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Theoretical Numerical Analysis by Peter Linz Pdf

This concise text introduces numerical analysis as a practical, problem-solving discipline. The three-part presentation begins with the fundamentals of functional analysis and approximation theory. Part II outlines the major results of theoretical numerical analysis, reviewing product integration, approximate expansion methods, the minimization of functions, and related topics. Part III considers specific subjects that illustrate the power and usefulness of theoretical analysis. Ideal as a text for a one-year graduate course, the book also offers engineers and scientists experienced in numerical computing a simple introduction to the major ideas of modern numerical analysis. Some practical experience with computational mathematics and the ability to relate this experience to new concepts is assumed. Otherwise, no background beyond advanced calculus is presupposed. Moreover, the ideas of functional analysis used throughout the text are introduced and developed only to the extent they are needed.

Advanced Problem Solving Using Maple

William P Fox,William Bauldry
Advanced Problem Solving Using Maple Book PDF

Author : William P Fox,William Bauldry
Publisher : CRC Press
Page : 405 pages
File Size : 55,5 Mb
Release : 2020-11-09
Category : Computers
ISBN : 9780429891328

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Advanced Problem Solving Using Maple by William P Fox,William Bauldry Pdf

Advanced Problem Solving Using MapleTM: Applied Mathematics, Operations Research, Business Analytics, and Decision Analysis applies the mathematical modeling process by formulating, building, solving, analyzing, and criticizing mathematical models. Scenarios are developed within the scope of the problem-solving process. The text focuses on discrete dynamical systems, optimization techniques, single-variable unconstrained optimization and applied problems, and numerical search methods. Additional coverage includes multivariable unconstrained and constrained techniques. Linear algebra techniques to model and solve problems such as the Leontief model, and advanced regression techniques including nonlinear, logistics, and Poisson are covered. Game theory, the Nash equilibrium, and Nash arbitration are also included. Features: The text’s case studies and student projects involve students with real-world problem solving Focuses on numerical solution techniques in dynamical systems, optimization, and numerical analysis The numerical procedures discussed in the text are algorithmic and iterative Maple is utilized throughout the text as a tool for computation and analysis All algorithms are provided with step-by-step formats About the Authors: William P. Fox is an emeritus professor in the Department of Defense Analysis at the Naval Postgraduate School. Currently, he is an adjunct professor, Department of Mathematics, the College of William and Mary. He received his PhD at Clemson University and has many publications and scholarly activities including twenty books and over one hundred and fifty journal articles. William C. Bauldry, Prof. Emeritus and Adjunct Research Prof. of Mathematics at Appalachian State University, received his PhD in Approximation Theory from Ohio State. He has published many papers on pedagogy and technology, often using Maple, and has been the PI of several NSF-funded projects incorporating technology and modeling into math courses. He currently serves as Associate Director of COMAP’s Math Contest in Modeling (MCM).

Methods of Applied Mathematics

Francis B. Hildebrand
Methods of Applied Mathematics Book PDF

Author : Francis B. Hildebrand
Publisher : Courier Corporation
Page : 386 pages
File Size : 41,6 Mb
Release : 2012-06-08
Category : Mathematics
ISBN : 9780486138381

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Methods of Applied Mathematics by Francis B. Hildebrand Pdf

This invaluable book offers engineers and physicists working knowledge of a number of mathematical facts and techniques not commonly treated in courses in advanced calculus, but nevertheless extremely useful when applied to typical problems in many different fields. It deals principally with linear algebraic equations, quadratic and Hermitian forms, operations with vectors and matrices, the calculus of variations, and the formulations and theory of linear integral equations. Annotated problems and exercises accompany each chapter.

Advanced Mathematical Techniques in Engineering Sciences

Mangey Ram,J. Paulo Davim
Advanced Mathematical Techniques in Engineering Sciences Book PDF

Author : Mangey Ram,J. Paulo Davim
Publisher : CRC Press
Page : 334 pages
File Size : 48,7 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

Advanced Mathematical Modeling with Technology

William P. Fox,Robert E. Burks
Advanced Mathematical Modeling with Technology Book PDF

Author : William P. Fox,Robert E. Burks
Publisher : CRC Press
Page : 448 pages
File Size : 55,5 Mb
Release : 2021-05-20
Category : Mathematics
ISBN : 9781000388862

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Advanced Mathematical Modeling with Technology by William P. Fox,Robert E. Burks Pdf

Mathematical modeling is both a skill and an art and must be practiced in order to maintain and enhance the ability to use those skills. Though the topics covered in this book are the typical topics of most mathematical modeling courses, this book is best used for individuals or groups who have already taken an introductory mathematical modeling course. Advanced Mathematical Modeling with Technology will be of interest to instructors and students offering courses focused on discrete modeling or modeling for decision making. Each chapter begins with a problem to motivate the reader. The problem tells "what" the issue is or problem that needs to be solved. In each chapter, the authors apply the principles of mathematical modeling to that problem and present the steps in obtaining a model. The key focus is the mathematical model and the technology is presented as a method to solve that model or perform sensitivity analysis. We have selected , where applicable to the content because of their wide accessibility. The authors utilize technology to build, compute, or implement the model and then analyze the it. Features: MAPLE©, Excel©, and R© to support the mathematical modeling process. Excel templates, macros, and programs are available upon request from authors. Maple templates and example solution are also available. Includes coverage of mathematical programming. The power and limitations of simulations is covered. Introduces multi-attribute decision making (MADM) and game theory for solving problems. The book provides an overview to the decision maker of the wide range of applications of quantitative approaches to aid in the decision making process, and present a framework for decision making. Table of Contents 1. Perfect Partners: Mathematical Modeling and Technology 2. Review of Modeling with Discrete Dynamical Systems and Modeling Systems of DDS 3. Modeling with Differential Equations 4. Modeling System of Ordinary Differential Equation 5. Regression and Advanced Regression Methods and Models 6. Linear, Integer and Mixed Integer Programming 7. Nonlinear Optimization Methods 8. Multivariable Optimization 9. Simulation Models 10. Modeling Decision Making with Multi-Attribute Decision Modeling with Technology 11. Modeling with Game Theory 12. Appendix Using R Index Biographies Dr. William P. Fox is currently a visiting professor of Computational Operations Research at the College of William and Mary. He is an emeritus professor in the Department of Defense Analysis at the Naval Postgraduate School and teaches a three-course sequence in mathematical modeling for decision making. He received his Ph.D. in Industrial Engineering from Clemson University. He has taught at the United States Military Academy for twelve years until retiring and at Francis Marion University where he was the chair of mathematics for eight years. He has many publications and scholarly activities including twenty plus books and one hundred and fifty journal articles. Colonel (R) Robert E. Burks, Jr., Ph.D. is an Associate Professor in the Defense Analysis Department of the Naval Postgraduate School (NPS) and the Director of the NPS’ Wargaming Center. He holds a Ph.D. in Operations Research form the Air Force Institute of Technology. He is a retired logistics Army Colonel with more than thirty years of military experience in leadership, advanced analytics, decision modeling, and logistics operations who served as an Army Operations Research analyst at the Naval Postgraduate School, TRADOC Analysis Center, United States Military Academy, and the United States Army Recruiting Command.

Advanced Mathematical Techniques in Science and Engineering

Mangey Ram,João Paulo Davim
Advanced Mathematical Techniques in Science and Engineering Book PDF

Author : Mangey Ram,João Paulo Davim
Publisher : CRC Press
Page : 249 pages
File Size : 53,7 Mb
Release : 2022-09-01
Category : Mathematics
ISBN : 9781000794953

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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 Groups- Modeling of intersystem accidents in critical infrastructure systems- Stochastic approaches to analysis and modeling of multi-sources and big data- Performance evaluation of computational DoS attack on access point in Wireless LANs- Ranking methods for decision-making under uncertainty- Understanding time delay based Modeling & Diffusion of technological products- Role of soft computing in science and engineering- Complex system reliability analysis and optimization- Tree growth models in forest ecosystems modellingThis 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.

The Mathematical Theory of Finite Element Methods

Susanne Brenner,L. Ridgway Scott
The Mathematical Theory of Finite Element Methods Book PDF

Author : Susanne Brenner,L. Ridgway Scott
Publisher : Springer Science & Business Media
Page : 369 pages
File Size : 45,6 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9781475736588

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The Mathematical Theory of Finite Element Methods by Susanne Brenner,L. Ridgway Scott Pdf

A rigorous and thorough mathematical introduction to the subject; A clear and concise treatment of modern fast solution techniques such as multigrid and domain decomposition algorithms; Second edition contains two new chapters, as well as many new exercises; Previous edition sold over 3000 copies worldwide

Methods of Applied Mathematics with a MATLAB Overview

Jon H. Davis
Methods of Applied Mathematics with a MATLAB Overview Book PDF

Author : Jon H. Davis
Publisher : Springer Science & Business Media
Page : 744 pages
File Size : 43,6 Mb
Release : 2004
Category : Mathematics
ISBN : 0817643311

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Methods of Applied Mathematics with a MATLAB Overview by Jon H. Davis Pdf

Broadly organized around the applications of Fourier analysis, "Methods of Applied Mathematics with a MATLAB Overview" covers both classical applications in partial differential equations and boundary value problems, as well as the concepts and methods associated to the Laplace, Fourier, and discrete transforms. Transform inversion problems are also examined, along with the necessary background in complex variables. A final chapter treats wavelets, short-time Fourier analysis, and geometrically-based transforms. The computer program MATLAB is emphasized throughout, and an introduction to MATLAB is provided in an appendix. Rich in examples, illustrations, and exercises of varying difficulty, this text can be used for a one- or two-semester course and is ideal for students in pure and applied mathematics, physics, and engineering.

Applied Mathematics And Modeling For Chemical Engineers

Richard G. Rice,Duong D. Do
Applied Mathematics And Modeling For Chemical Engineers Book PDF

Author : Richard G. Rice,Duong D. Do
Publisher : John Wiley & Sons
Page : 60 pages
File Size : 41,8 Mb
Release : 2012-10-16
Category : Technology & Engineering
ISBN : 9781118024720

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Applied Mathematics And Modeling For Chemical Engineers by Richard G. Rice,Duong D. Do Pdf

This Second Edition of the go-to reference combines the classical analysis and modern applications of applied mathematics for chemical engineers. The book introduces traditional techniques for solving ordinary differential equations (ODEs), adding new material on approximate solution methods such as perturbation techniques and elementary numerical solutions. It also includes analytical methods to deal with important classes of finite-difference equations. The last half discusses numerical solution techniques and partial differential equations (PDEs). The reader will then be equipped to apply mathematics in the formulation of problems in chemical engineering. Like the first edition, there are many examples provided as homework and worked examples.

Techniques of Functional Analysis for Differential and Integral Equations

Paul Sacks
Techniques of Functional Analysis for Differential and Integral Equations Book PDF

Author : Paul Sacks
Publisher : Academic Press
Page : 322 pages
File Size : 42,9 Mb
Release : 2017-05-16
Category : Mathematics
ISBN : 9780128114575

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Techniques of Functional Analysis for Differential and Integral Equations by Paul Sacks Pdf

Techniques of Functional Analysis for Differential and Integral Equations describes a variety of powerful and modern tools from mathematical analysis, for graduate study and further research in ordinary differential equations, integral equations and partial differential equations. Knowledge of these techniques is particularly useful as preparation for graduate courses and PhD research in differential equations and numerical analysis, and more specialized topics such as fluid dynamics and control theory. Striking a balance between mathematical depth and accessibility, proofs involving more technical aspects of measure and integration theory are avoided, but clear statements and precise alternative references are given . The work provides many examples and exercises drawn from the literature. Provides an introduction to mathematical techniques widely used in applied mathematics and needed for advanced research in ordinary and partial differential equations, integral equations, numerical analysis, fluid dynamics and other areas Establishes the advanced background needed for sophisticated literature review and research in differential equations and integral equations Suitable for use as a textbook for a two semester graduate level course for M.S. and Ph.D. students in Mathematics and Applied Mathematics

Advanced Applications of Computational Mathematics

Akshay Kumar,Mangey Ram,Hari Mohan Srivastava
Advanced Applications of Computational Mathematics Book PDF

Author : Akshay Kumar,Mangey Ram,Hari Mohan Srivastava
Publisher : CRC Press
Page : 272 pages
File Size : 46,6 Mb
Release : 2022-09-01
Category : Mathematics
ISBN : 9781000793208

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Advanced Applications of Computational Mathematics by Akshay Kumar,Mangey Ram,Hari Mohan Srivastava Pdf

This book “Advanced Applications of Computational Mathematics” covers multidisciplinary studies containing advanced research in the field of computational and applied mathematics. The book includes research methodology, techniques, applications, and algorithms. The book will be very useful to advanced students, researchers and practitioners who are involved in the areas of computational and applied mathematics and engineering.

Advanced Calculus

Lynn Harold Loomis,Shlomo Sternberg
Advanced Calculus Book PDF

Author : Lynn Harold Loomis,Shlomo Sternberg
Publisher : World Scientific Publishing Company
Page : 596 pages
File Size : 55,9 Mb
Release : 2014-02-26
Category : Mathematics
ISBN : 9789814583954

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Advanced Calculus by Lynn Harold Loomis,Shlomo Sternberg Pdf

An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades. This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis. The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives. In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

Advanced Mathematics for Applied and Pure Sciences

CF Chan Man Fong,D De Kee
Advanced Mathematics for Applied and Pure Sciences Book PDF

Author : CF Chan Man Fong,D De Kee
Publisher : CRC Press
Page : 900 pages
File Size : 46,9 Mb
Release : 1998-01-13
Category : Mathematics
ISBN : 9056996142

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Advanced Mathematics for Applied and Pure Sciences by CF Chan Man Fong,D De Kee Pdf

Covers applicable mathematics that should provide a text, at the third year level and beyond, appropriate for both students of engineering and the pure sciences. The book is a product of close collaboration between two mathematicians and an engineer and it is of note that the engineer has been helpful in pinpointing the problems engineering students usually encounter in books written by mathematicians. Instead of just listing techniques and a few examples, or providing a list of theorems along with their proofs, it explains why the techniques work. The emphasis is on helping the student develop an understanding of mathematics and its applications.