Princeton Companion to Applied Mathematics PDF Download

Author: Nicholas J. Higham
Publisher: Princeton University Press
ISBN: 0691150397
Category : Mathematics
Languages : en
Pages : 1014

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Book Description
The must-have compendium on applied mathematics This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more. Modeled on the popular Princeton Companion to Mathematics, this volume is an indispensable resource for undergraduate and graduate students, researchers, and practitioners in other disciplines seeking a user-friendly reference book on applied mathematics. Features nearly 200 entries organized thematically and written by an international team of distinguished contributors Presents the major ideas and branches of applied mathematics in a clear and accessible way Explains important mathematical concepts, methods, equations, and applications Introduces the language of applied mathematics and the goals of applied mathematical research Gives a wide range of examples of mathematical modeling Covers continuum mechanics, dynamical systems, numerical analysis, discrete and combinatorial mathematics, mathematical physics, and much more Explores the connections between applied mathematics and other disciplines Includes suggestions for further reading, cross-references, and a comprehensive index

Author: Thomas H. Brown
Publisher: McGraw Hill Professional
ISBN: 0071466916
Category : Technology & Engineering
Languages : en
Pages : 465

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Book Description
Everyday Engineers must solve some of the most difficult design problems and often with little time and money to spare. It was with this in mind that this book was designed. Based on the best selling Mark’s Standard Handbook for Mechanical Engineers, Mark’s Standard Engineering Calculations For Machine Design offers a detailed treatment of topics in statics, friction, kinematics, dynamics, energy relations, impulse and momentum, systems of particles, variable mass systems, and three-dimensional rigid body analysis. Among the advanced topics are spherical coordinates, shear modulus tangential unit vector tension, deformable media, and torsion (twisting).

Author: Seyed Habibollah Hashemi Kachapi
Publisher: Springer Science & Business Media
ISBN: 9400767757
Category : Technology & Engineering
Languages : en
Pages : 352

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Book Description
Dynamical and vibratory systems are basically an application of mathematics and applied sciences to the solution of real world problems. Before being able to solve real world problems, it is necessary to carefully study dynamical and vibratory systems and solve all available problems in case of linear and nonlinear equations using analytical and numerical methods. It is of great importance to study nonlinearity in dynamics and vibration; because almost all applied processes act nonlinearly, and on the other hand, nonlinear analysis of complex systems is one of the most important and complicated tasks, especially in engineering and applied sciences problems. There are probably a handful of books on nonlinear dynamics and vibrations analysis. Some of these books are written at a fundamental level that may not meet ambitious engineering program requirements. Others are specialized in certain fields of oscillatory systems, including modeling and simulations. In this book, we attempt to strike a balance between theory and practice, fundamentals and advanced subjects, and generality and specialization. None of the books in this area have completely studied and analyzed nonlinear equation in dynamical and vibratory systems using the latest analytical and numerical methods, so that the user can solve the problems without the need of studying too many different references. Thereby in this book, by the use of the latest analytic, numeric laboratorial methods and using more than 300 references like books, papers and the researches done by the authors and by considering almost all possible processes and situation, new theories has been proposed to encounter applied problems in engineering and applied sciences. In this way, the user (bachelor’s, master’s and PhD students, university teachers and even in research centers in different fields of mechanical, civil, aerospace, electrical, chemical, applied mathematics, physics, and etc.) can encounter such systems confidently. In the different chapters of the book, not only are the linear and especially nonlinear problems with oscillatory form broadly discussed, but also applied examples are practically solved by the proposed methodology.

Author: Mark Levi
Publisher: Princeton University Press
ISBN: 1400830478
Category : Mathematics
Languages : en
Pages : 197

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Book Description
Everybody knows that mathematics is indispensable to physics--imagine where we'd be today if Einstein and Newton didn't have the math to back up their ideas. But how many people realize that physics can be used to produce many astonishing and strikingly elegant solutions in mathematics? Mark Levi shows how in this delightful book, treating readers to a host of entertaining problems and mind-bending puzzlers that will amuse and inspire their inner physicist. Levi turns math and physics upside down, revealing how physics can simplify proofs and lead to quicker solutions and new theorems, and how physical solutions can illustrate why results are true in ways lengthy mathematical calculations never can. Did you know it's possible to derive the Pythagorean theorem by spinning a fish tank filled with water? Or that soap film holds the key to determining the cheapest container for a given volume? Or that the line of best fit for a data set can be found using a mechanical contraption made from a rod and springs? Levi demonstrates how to use physical intuition to solve these and other fascinating math problems. More than half the problems can be tackled by anyone with precalculus and basic geometry, while the more challenging problems require some calculus. This one-of-a-kind book explains physics and math concepts where needed, and includes an informative appendix of physical principles. The Mathematical Mechanic will appeal to anyone interested in the little-known connections between mathematics and physics and how both endeavors relate to the world around us.

Author:
Publisher:
ISBN:
Category : Automatic control
Languages : en
Pages : 712

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Book Description
Publishes theoretical and applied original papers in dynamic systems. Theoretical papers present new theoretical developments and knowledge for controls of dynamical systems together with clear engineering motivation for the new theory. Applied papers include modeling, simulation, and corroboration of theory with emphasis on demonstrated practicality.

Author: Mark Julian Everitt
Publisher: John Wiley & Sons
ISBN: 1119829879
Category : Science
Languages : en
Pages : 438

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Book Description
Quantum mechanics: from classical analytical mechanics to quantum mechanics, simulation, foundations & engineering Quantum mechanics is a fundamental subject in physics, often considered to be one of the most conceptually challenging topics. In many undergraduate courses, it is assumed that students are unfamiliar with the Lagrangian and Hamiltonian formulations of classical mechanics or the role of probability in Liouville's theorem (analytical mechanics). As a result, quantum physics is typically introduced using heuristic arguments, which can lead to surprising and counterintuitive concepts, and sometimes even incorrect interpretations. This book takes an alternative approach by leveraging classical analytical mechanics to facilitate a natural transition to quantum physics. By introducing and utilising classical mechanics, we provide a solid foundation for understanding quantum phenomena. We discuss important examples within this context and explore both exact and computational methods. Additionally, this book delves into quantum measurement and the transition from the quantum to the classical realm. It also introduces the emerging field of Quantum Systems Engineering, which focuses on the systematic design and construction of quantum technologies, such as quantum computers and sensors. Key features of this textbook include: Mathematics and Classical Analytical Mechanics: The necessary mathematical background and classical analytical mechanics are introduced gradually, allowing readers to focus on one conceptual challenge at a time. Deductive Approach: Quantum mechanics is presented on the firm foundation of classical analytical mechanics, ensuring a logical progression of concepts. Pedagogical Features: The book includes helpful notes, worked examples, problems, computational challenges, and problem-solving approaches to enhance understanding. Comprehensive Coverage: It goes beyond introductory texts by including topics such as open quantum systems and phase-space methods. Advanced computational methods are also discussed, including good programming practices and code design. Much of the code needed to reproduce figures throughout the book is provided. Consideration of Foundations: The measurement problem and correspondence principle are addressed only after sufficient material has been introduced to allow for an open and critical discussion. Introduction to Quantum Systems Engineering: This book provides an accessible introduction and motivation to this framework. This textbook is suitable for undergraduate students in physics and graduate students in mathematics, chemistry, engineering, and materials science.

Author: Danny Kopec
Publisher: Mercury Learning and Information
ISBN: 1944534687
Category : Computers
Languages : en
Pages : 343

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Book Description
This book lends insight into solving some well-known AI problems using the most efficient problem-solving methods by humans and computers. The book discusses the importance of developing critical-thinking methods and skills, and develops a consistent approach toward each problem. This book assembles in one place a set of interesting and challenging AI–type problems that students regularly encounter in computer science, mathematics, and AI courses. These problems are not new, and students from all backgrounds can benefit from the kind of deductive thinking that goes into solving them. The book is especially useful as a companion to any course in computer science or mathematics where there are interesting problems to solve. Features: •Addresses AI and problem-solving from different perspectives •Covers classic AI problems such as Sudoku, Map Coloring, Twelve Coins, Red Donkey, Cryptarithms, Monte Carlo Methods, Rubik’s Cube, Missionaries/Cannibals, Knight’s Tour, Monty Hall, and more •Includes a companion disc with source code, solutions, figures, and more •Offers playability sites where students can exercise the process of developing their solutions •Describes problem-solving methods that might be applied to a variety of situations eBook Customers: Companion files are available for downloading with order number/proof of purchase by writing to the publisher at [email protected].

Author: Larry Silverberg
Publisher: McGraw-Hill Professional Publishing
ISBN: 9780071362788
Category : Mathematics
Languages : en
Pages : 385

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Book Description
We will provide material that will drill the user in problem-solving techniques. These books would be ideal for young engineers just starting out in the their careers, who may not remember the fundamental problem-solving techniques they were taught in their beginning engineering education, or will benefit from the refresher when faced with their first big project at their new company. Each subtopic under Mechanics will be addressed in a separate section. Each section will begin with a brief explanation of the topic. Then the math derivations will be provided. This information does not intend to teach the topic, yet provides a reference to the topic, or brief synopsis. After the derivations, there will be 5 fully worked out problems, then 5 practice problems. The solutions to the practice problems will be available on the companion website. They will make use of practical issues, and will force the user to look at the same problem from various angles, thereby driving home the problem-solving technique.

Author: Disha Experts
Publisher: Disha Publications
ISBN: 9389187796
Category :
Languages : en
Pages : 501

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Book Description

Author: G N Cantor
Publisher: Routledge
ISBN: 1000158853
Category : History
Languages : en
Pages : 765

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Book Description
The 67 chapters of this book describe and analyse the development of Western science from 1500 to the present day. Divided into two major sections - 'The Study of the History of Science' and 'Selected Writings in the History of Science' - the volume describes the methods and problems of research in the field and then applies these techniques to a wide range of fields. Areas covered include: * the Copernican Revolution * Genetics * Science and Imperialism * the History of Anthropology * Science and Religion * Magic and Science. The companion is an indispensable resource for students and professionals in History, Philosophy, Sociology and the Sciences as well as the History of Science. It will also appeal to the general reader interested in an introduction to the subject.