Download or read book Modern Mathematical Methods For Scientists And Engineers A Street smart Introduction written by Athanassios Fokas and published by World Scientific. This book was released on 2022-12-12 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern Mathematical Methods for Scientists and Engineers is a modern introduction to basic topics in mathematics at the undergraduate level, with emphasis on explanations and applications to real-life problems. There is also an 'Application' section at the end of each chapter, with topics drawn from a variety of areas, including neural networks, fluid dynamics, and the behavior of 'put' and 'call' options in financial markets. The book presents several modern important and computationally efficient topics, including feedforward neural networks, wavelets, generalized functions, stochastic optimization methods, and numerical methods.A unique and novel feature of the book is the introduction of a recently developed method for solving partial differential equations (PDEs), called the unified transform. PDEs are the mathematical cornerstone for describing an astonishingly wide range of phenomena, from quantum mechanics to ocean waves, to the diffusion of heat in matter and the behavior of financial markets. Despite the efforts of many famous mathematicians, physicists and engineers, the solution of partial differential equations remains a challenge.The unified transform greatly facilitates this task. For example, two and a half centuries after Jean d'Alembert formulated the wave equation and presented a solution for solving a simple problem for this equation, the unified transform derives in a simple manner a generalization of the d'Alembert solution, valid for general boundary value problems. Moreover, two centuries after Joseph Fourier introduced the classical tool of the Fourier series for solving the heat equation, the unified transform constructs a new solution to this ubiquitous PDE, with important analytical and numerical advantages in comparison to the classical solutions. The authors present the unified transform pedagogically, building all the necessary background, including functions of real and of complex variables and the Fourier transform, illustrating the method with numerous examples.Broad in scope, but pedagogical in style and content, the book is an introduction to powerful mathematical concepts and modern tools for students in science and engineering.

Download or read book Mathematical Methods in Science and Engineering written by Selcuk S. Bayin and published by John Wiley & Sons. This book was released on 2006-09-01 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt: An innovative treatment of mathematical methods for a multidisciplinary audience Clearly and elegantly presented, Mathematical Methods in Science and Engineering provides a coherent treatment of mathematical methods, bringing advanced mathematical tools to a multidisciplinary audience. The growing interest in interdisciplinary studies has brought scientists from many disciplines such as physics, mathematics, chemistry, biology, economics, and finance together, which has increased the demand for courses in upper-level mathematical techniques. This book succeeds in not only being tuned in to the existing practical needs of this multidisciplinary audience, but also plays a role in the development of new interdisciplinary science by introducing new techniques to students and researchers. Mathematical Methods in Science and Engineering's modular structure affords instructors enough flexibility to use this book for several different advanced undergraduate and graduate level courses. Each chapter serves as a review of its subject and can be read independently, thus it also serves as a valuable reference and refresher for scientists and beginning researchers. There are a growing number of research areas in applied sciences, such as earthquakes, rupture, financial markets, and crashes, that employ the techniques of fractional calculus and path integrals. The book's two unique chapters on these subjects, written in a style that makes these advanced techniques accessible to a multidisciplinary audience, are an indispensable tool for researchers and instructors who want to add something new to their compulsory courses. Mathematical Methods in Science and Engineering includes: * Comprehensive chapters on coordinates and tensors and on continuous groups and their representations * An emphasis on physical motivation and the multidisciplinary nature of the methods discussed * A coherent treatment of carefully selected topics in a style that makes advanced mathematical tools accessible to a multidisciplinary audience * Exercises at the end of every chapter and plentiful examples throughout the book Mathematical Methods in Science and Engineering is not only appropriate as a text for advanced undergraduate and graduate physics programs, but is also appropriate for engineering science and mechanical engineering departments due to its unique chapter coverage and easily accessible style. Readers are expected to be familiar with topics typically covered in the first three years of science and engineering undergraduate programs. Thoroughly class-tested, this book has been used in classes by more than 1,000 students over the past eighteen years.

Download or read book Chaos Fractals and Complexity written by Tassos Bountis and published by Springer Nature. This book was released on 2023-10-23 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of proceedings contains research results within the framework of the fields of Chaos, Fractals and Complexity, written by experienced professors, young researchers, and applied scientists. It includes reviews of the fields, which are presented in an educational way for the widest possible audience, analytical results, computer simulations and experimental evidence, focusing on mathematical modelling. The papers presented here are selected from lectures given at the 28th Summer School “Dynamical Systems and Complexity”, July 18 – 27, 2022. Topics cover applications of complex systems in Neuroscience, Biology, Photonics, Seismology, Meteorology, and more broadly Physical and Engineering systems. The summer school has a long history, which began at the University of Patras in 1987 and continues with great success to this day. The original main purpose was to introduce young students and researchers of Greece to a new science that emerged several decades ago and continues to grow internationally at an ever increasing rate around the world.

Download or read book Modern Mathematical Methods in Technology written by István Fenyő and published by . This book was released on 1969 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book An Introduction to Modern Mathematical Computing written by Jonathan M. Borwein and published by Springer Science & Business Media. This book was released on 2012-08-07 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thirty years ago mathematical, as opposed to applied numerical, computation was difficult to perform and so relatively little used. Three threads changed that: the emergence of the personal computer; the discovery of fiber-optics and the consequent development of the modern internet; and the building of the Three “M’s” Maple, Mathematica and Matlab. We intend to persuade that Mathematica and other similar tools are worth knowing, assuming only that one wishes to be a mathematician, a mathematics educator, a computer scientist, an engineer or scientist, or anyone else who wishes/needs to use mathematics better. We also hope to explain how to become an "experimental mathematician" while learning to be better at proving things. To accomplish this our material is divided into three main chapters followed by a postscript. These cover elementary number theory, calculus of one and several variables, introductory linear algebra, and visualization and interactive geometric computation.

Download or read book Scientific Computing written by Timo Heister and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-05-19 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientific Computing for Scientists and Engineers is designed to teach undergraduate students relevant numerical methods and required fundamentals in scientific computing. Most problems in science and engineering require the solution of mathematical problems, most of which can only be done on a computer. Accurately approximating those problems requires solving differential equations and linear systems with millions of unknowns, and smart algorithms can be used on computers to reduce calculation times from years to minutes or even seconds. This book explains: How can we approximate these important mathematical processes? How accurate are our approximations? How efficient are our approximations? Scientific Computing for Scientists and Engineers covers: An introduction to a wide range of numerical methods for linear systems, eigenvalue problems, differential equations, numerical integration, and nonlinear problems; Scientific computing fundamentals like floating point representation of numbers and convergence; Analysis of accuracy and efficiency; Simple programming examples in MATLAB to illustrate the algorithms and to solve real life problems; Exercises to reinforce all topics.

Download or read book Numerical Methods for Scientists and Engineers written by Richard Hamming and published by Courier Corporation. This book was released on 2012-04-25 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: This inexpensive paperback edition of a groundbreaking text stresses frequency approach in coverage of algorithms, polynomial approximation, Fourier approximation, exponential approximation, and other topics. Revised and enlarged 2nd edition.

Download or read book Mathematical Techniques written by Dominic William Jordan and published by Oxford University Press, USA. This book was released on 1994 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the rigors of modern science increasingly require of its practitioners greater and greater mathematical sophistication, today's students are often ill-prepared to meet the challenge. Mathematical Techniques aims to rectify that situation. Aimed at beginning students in the engineering, mathematical, and physical sciences, the book offers a course in essential mathematical methods--such as analytic geometry, vector algebra, complex numbers, matrix operations, differential equations, double integrals, Laplace transforms, and Fourier series, among many others. Throughout, the book omits mathematical pedantry and obscure proofs, and presents summary material clearly. A large number of exercises and worked examples are included. Students taking the road down to careers in engineering, chemistry, mathematics, and physics will welcome this friendly introduction to important mathematical techniques.

Download or read book Modern Mathematical Methods in Technology written by Stefan Fenyö and published by . This book was released on 1975 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Scientific Computing written by Michael T. Heath and published by SIAM. This book was released on 2018-11-14 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book differs from traditional numerical analysis texts in that it focuses on the motivation and ideas behind the algorithms presented rather than on detailed analyses of them. It presents a broad overview of methods and software for solving mathematical problems arising in computational modeling and data analysis, including proper problem formulation, selection of effective solution algorithms, and interpretation of results. In the 20 years since its original publication, the modern, fundamental perspective of this book has aged well, and it continues to be used in the classroom. This Classics edition has been updated to include pointers to Python software and the Chebfun package, expansions on barycentric formulation for Lagrange polynomial interpretation and stochastic methods, and the availability of about 100 interactive educational modules that dynamically illustrate the concepts and algorithms in the book. Scientific Computing: An Introductory Survey, Second Edition is intended as both a textbook and a reference for computationally oriented disciplines that need to solve mathematical problems.

Download or read book Essential Mathematical Methods written by Zach Short and published by NY Research Press. This book was released on 2023-09-26 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical methods are widely used in various fields of science and engineering. The study of mathematical methods involves the study of multiple concepts such as advanced calculus, differential equations, complex analysis, linear algebra, and introductory mathematical physics. Linear algebra is a mathematical method that involves the study of vectors and matrices. This method has many applications ranging from mathematical physics to modern algebra and coding theory. Complex analysis or theory of functions of a complex variable is another mathematical method that studies the functions of complex numbers. Complex analysis plays a crucial role in many branches of mathematics such as algebraic geometry, number theory, analytic combinatorics, and applied mathematics. This book offers a comprehensive understanding of the essential mathematical methods. Its extensive content provides the students with a thorough understanding of various mathematical methods.

Download or read book Mathematical Methods in Science and Engineering written by John Heading and published by Elsevier Publishing Company. This book was released on 1970 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Advanced Mathematical Methods with Maple written by Derek Richards and published by . This book was released on 2002 with total page 862 pages. Available in PDF, EPUB and Kindle. Book excerpt: A user-friendly student guide to computer-assisted algebra with mathematical software packages such as Maple.

Download or read book The Mathematical Sciences in 2025 written by National Research Council and published by National Academies Press. This book was released on 2013-05-13 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical sciences are part of nearly all aspects of everyday life-the discipline has underpinned such beneficial modern capabilities as Internet search, medical imaging, computer animation, numerical weather predictions, and all types of digital communications. The Mathematical Sciences in 2025 examines the current state of the mathematical sciences and explores the changes needed for the discipline to be in a strong position and able to maximize its contribution to the nation in 2025. It finds the vitality of the discipline excellent and that it contributes in expanding ways to most areas of science and engineering, as well as to the nation as a whole, and recommends that training for future generations of mathematical scientists should be re-assessed in light of the increasingly cross-disciplinary nature of the mathematical sciences. In addition, because of the valuable interplay between ideas and people from all parts of the mathematical sciences, the report emphasizes that universities and the government need to continue to invest in the full spectrum of the mathematical sciences in order for the whole enterprise to continue to flourish long-term.

Download or read book Advances In Mathematical And Computational Methods Addressing Modern Challenges of Science Technology and Society written by Ilias Kotsireas and published by American Inst. of Physics. This book was released on 2012-01-20 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a unique collection of in-depth technical discussions and exchange of ideas in mathematical and computational sciences, as well as their applications in natural and social sciences, engineering and technology, industry and finance. It aims at researchers, industrialists, engineers and students who want to foster interdisciplinary collaborations required to meet the challenges of modern science, technology, and society. Applied and computational mathematics plays a fundamental role in new discoveries in sciences and engineering. The methodology of mathematical modeling and computational experiment provides a primary and ubiquitous tool in such discoveries, as well as in the development of new theories and techniques for the solution of important problems arising from the sciences and engineering. The main goal of this book is to provide the reader with state-of-the-art achievements in the development of this methodology along with the associated theories and techniques in diverse areas of human knowledge, promoting interdisciplinary interactions between mathematicians, scientists and engineers. The book is a valuable source of the methods, ideas, and tools of applied and computational mathematics developed for other disciplines, including natural and social sciences, engineering and technology. Original results are presented on both fundamental and applied developments, with a wide range of examples emphasizing interdisciplinary nature and universality applied mathematics and mathematical modeling.This book has a number of unique features: -The book can serve as a reference to state-of-the-art original works on the applications of mathematical and computational methods and tools in disciplines from natural and social sciences to technology and engineering.

Download or read book History of Modern Mathematics written by David Eugene Smith and published by Prabhat Prakashan. This book was released on 1906-01-01 with total page 75 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book NUMERICAL METHODS FOR SCIENTISTS AND ENGINEERS written by K. SANKARA RAO and published by PHI Learning. This book was released on 2007-01-01 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Primarily written as a textbook, this third edition provides a complete course on numerical methods for undergraduate students in all branches of engineering, postgraduate students in mathematics and physics, and students pursuing courses in Master of Computer Applications (MCA). Besides students, those appearing for competitive examinations, research scholars and professionals engaged in numerical computations, will treasure this edition for its in-depth analysis, systematic treatment and clarity of approach. The third edition has been updated with new material comprising new methods and concepts and additional chapters on Boundary Value Problems and Approximation of Functions. It introduces the basics in computing, stresses on errors in computation, discusses various direct and iterative methods for solving algebraic and transcendental equations and a method for solving a system of nonlinear equations, linear system of equations, matrix inversion and computation of eigenvalues and eigenvectors of a matrix. The book provides a detailed discussion on curve fitting, interpolation and cubic spline interpolation, numerical differentiation and integration. It also presents, various single step and predictor–corrector methods for solving ordinary differential equations, finite difference methods for solving partial differential equations with the concepts of truncation error and stability. Finally, it concludes with a treatment of numerical methods for solving boundary value problems, least squares, Chebyshev, Pade polynomial approximations and Fourier series approximation to a real continuous function. KEY FEATURES  Provides altogether about 300 examples, of which about 125 are worked-out examples.  Gives detailed hints and solutions to examples under Exercises.