Marks' Mechanics Problem-solving Companion

Marks' Mechanics Problem-solving Companion
Author: Larry Silverberg
Publisher: McGraw-Hill Professional Publishing
Total Pages: 385
Release: 2001
Genre: Mathematics
ISBN: 9780071362788

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.

Princeton Companion to Applied Mathematics

Princeton Companion to Applied Mathematics
Author: Nicholas J. Higham
Publisher: Princeton University Press
Total Pages: 1014
Release: 2015-09-09
Genre: Mathematics
ISBN: 0691150397

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

The Mathematical Mechanic

The Mathematical Mechanic
Author: Mark Levi
Publisher: Princeton University Press
Total Pages: 197
Release: 2009-07-06
Genre: Mathematics
ISBN: 1400830478

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.

Mark's Calculations For Machine Design

Mark's Calculations For Machine Design
Author: Thomas H. Brown
Publisher: McGraw Hill Professional
Total Pages: 465
Release: 2005-02-24
Genre: Technology & Engineering
ISBN: 0071466916

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).

Dynamics and Vibrations

Dynamics and Vibrations
Author: Seyed Habibollah Hashemi Kachapi
Publisher: Springer Science & Business Media
Total Pages: 352
Release: 2013-07-18
Genre: Technology & Engineering
ISBN: 9400767757

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.

Journal of Dynamic Systems, Measurement, and Control

Journal of Dynamic Systems, Measurement, and Control
Author:
Publisher:
Total Pages: 712
Release: 2003
Genre: Automatic control
ISBN:

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.

Artificial Intelligence and Problem Solving

Artificial Intelligence and Problem Solving
Author: Danny Kopec
Publisher: Mercury Learning and Information
Total Pages: 343
Release: 2016-06-09
Genre: Computers
ISBN: 1944534687

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].

Quantum Mechanics

Quantum Mechanics
Author: Mark Julian Everitt
Publisher: John Wiley & Sons
Total Pages: 438
Release: 2023-09-08
Genre: Science
ISBN: 1119829895

QUANTUM MECHANICS From classical analytical mechanics to quantum mechanics, simulation, foundations & engineering Quantum mechanics is a fundamental and conceptually challenging area of physics. It is usually assumed that students are unfamiliar with Lagrangian and Hamiltonian formulations of classical mechanics and the role played by probability. As a result, quantum physics is typically introduced using heuristic arguments, obscuring synergies with classical mechanics. This book takes an alternative approach by leveraging classical analytical mechanics to facilitate a natural transition to quantum physics. By doing so, a solid foundation for understanding quantum phenomena is provided. 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: This book includes helpful notes, worked examples, problems, computational challenges, and problem-solving approaches to enhance understanding. Comprehensive Coverage: Including advanced topics such as open quantum systems, phase-space methods, and computational methods for quantum physics including good programming practice and code design. Much of the code needed to reproduce figures throughout this book is included. Consideration of Foundations: The measurement problem and correspondence principle are addressed, including an open and critical discussion of their interpretation and consequences. Introduction to Quantum Systems Engineering: This is the first book to introduce Quantum Systems Engineering approaches for applied quantum technologies development. This textbook is suitable for undergraduate students in physics and graduate students in mathematics, chemistry, engineering, and materials science.

The Routledge Companion to Video Game Studies

The Routledge Companion to Video Game Studies
Author: Mark J.P. Wolf
Publisher: Taylor & Francis
Total Pages: 832
Release: 2023-06-19
Genre: Games & Activities
ISBN: 1000886026

A definitive guide to contemporary video game studies, this second edition has been fully revised and updated to address the ongoing theoretical and methodological development of game studies. Expertly compiled by well-known video game scholars Mark J. P. Wolf and Bernard Perron, the Companion includes comprehensive and interdisciplinary models and approaches for analyzing video games, new perspectives on video games both as an art form and cultural phenomenon, explorations of the technical and creative dimensions of video games, and accounts of the political, social, and cultural dynamics of video games. Brand new to this second edition are chapters examining topics such as preservation; augmented, mixed, and virtual reality; eSports; disability; diversity; and identity, as well as a new section that specifically examines the industrial aspects of video games including digital distribution, game labor, triple-A games, indie games, and globalization. Each essay provides a lively and succinct summary of its target area, quickly bringing the reader up-to-date on the pertinent issues surrounding each aspect of the field, including references for further reading. A comprehensive overview of the present state of video game studies that will undoubtedly prove invaluable to students, scholars, and game designers alike.