Get the background you need for future courses and discover the usefulness of mathematical concepts in analyzing and solving problems with FINITE MATHEMATICS, 7th Edition. The author clearly explains concepts, and the computations demonstrate enough detail to allow you to follow-and learn-steps in the problem-solving process. Hundreds of examples, many based on real-world data, illustrate the practical applications of mathematics. The textbook also includes technology guidelines to help you successfully use graphing calculators and Microsoft Excel to solve selected exercises.
This Enhanced Edition includes instant access to Enhanced WebAssign, the most widely-used and reliable homework system. Enhanced WebAssign presents over a thousand problems, links to relevant textbook sections, video examples, problem-specific tutorials, and more, that help students grasp the concepts needed to succeed in this course. As an added bonus, the Start Smart Guide has been bound into this text. This guide contains instructions to help students learn the basics of WebAssign quickly.
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The book is an useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications.
The book is accompanied by other educational resources like: An online Instructor's Manual and a Student Guide.
The author has also created a series of videos to show ways in which calculus is important in our lives. The videos, which include real-life examples to illustrate the concepts, are ideal for high school students, college students, and anyone interested in learning the basics of calculus.
See the links listed below to find the aforementioned "others educational resources", videos as well as the direct link to book.
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Here is a modern introduction to the theory of tensor algebra and tensor analysis. It discusses tensor algebra and introduces differential manifold. Coverage also details tensor analysis, differential forms, connection forms, and curvature tensor. In addition, the book investigates Riemannian and pseudo-Riemannian manifolds in great detail. Throughout, examples and problems are furnished from the theory of relativity and continuum mechanics.
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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.
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Author: Robert Oman, Daniel Oman | Size: 5.96 MB | Format:PDF | Quality:Unspecified | Publisher: McGraw-Hill | Year: 1996 | pages: 352 | ISBN: 0070481660
The Problem: Physics. The Solution: How to Solve Physics Problems
No one says physics is easy, not even physics professor Bob Oman or microelectronics researcher Dan Oman. They struggled with physics as undergraduates, too, and know the physics student's lament--"I understood everything in lecture and the text, but I couldn't do the problems."
That's why they wrote How to Solve Physics Problems. This book prepares you for physics exams by moving you directly into problem-solving. You learn to solve physics problems naturally and systematically as you read along--before you even know you're doing it--and in a way you simply can't forget. This book also helps you with your homework and gives you a preview of problems that will be on your exams. Plus you get good, solid advice on how to reduce study time, get maximum benefit from class, prepare for your exams effectively, and make your note-taking count.
No matter how tough your textbook or how rigorous your course--whether you are studying calculus-based or non-calc physics--this book will help you understand more and improve your grade.
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The fun and easy way to understand and solve complex equations
Many of the fundamental laws of physics, chemistry, biology, and economics can be formulated as differential equations. This plain-English guide explores the many applications of this mathematical tool and shows how differential equations can help us understand the world around us. Differential Equations For Dummies is the perfect companion for a college differential equations course and is an ideal supplemental resource for other calculus classes as well as science and engineering courses. It offers step-by-step techniques, practical tips, numerous exercises, and clear, concise examples to help readers improve their differential equation-solving skills and boost their test scores.
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Author: Peter J. Collins | Size: 1.87 MB | Format:PDF | Quality:Original preprint | Publisher: Oxford University Press | Year: 2006 | pages: 387
Differential and integral equations involve important mathematical techniques, and as such will be encountered by mathematicians, and physical and social scientists, in their undergraduate courses. This text provides a clear, comprehensive guide to first- and second-order ordinary and partial differential equations, whilst introducing important and useful basic material on integral equations. Readers will encounter detailed discussion of the wave, heat and Laplace equations, of Green's functions and their application to the Sturm-Liouville equation, and how to use series solutions, transform methods and phase-plane analysis. The calculus of variations will take them further into the world of applied analysis.
Providing a wealth of techniques, but yet satisfying the needs of the pure mathematician, and with numerous carefully worked examples and exercises, the text is ideal for any undergraduate with basic calculus to gain a thorough grounding in 'analysis for applications'.
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Author: Gregory L. Baker, James A. Blackburn | Size: 17.01 MB | Format:PDF | Quality:Original preprint | Publisher: Oxford University Press | Year: 2005 | pages: 301
The pendulum: a case study in physics is an unusual book in several ways. Most distinctively, it is organized around a single physical system, the pendulum, in contrast to conventional texts that remain confined to single fields such as electromagnetism or classical mechanics. In other words, the pendulum is the central focus, but from this main path we branch to many important areas of physics, technology, and the history of science
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This textbook covers all the standard introductory topics in classical mechanics, including Newton's laws, oscillations, energy, momentum, angular momentum, planetary motion, and special relativity. It also explores more advanced topics, such as normal modes, the Lagrangian method, gyroscopic motion, fictitious forces, 4-vectors, and general relativity. It contains more than 250 problems with detailed solutions so students can easily check their understanding of the topic. There are also over 350 unworked exercises which are ideal for homework assignments. Password protected solutions are available to instructors at www.cambridge.org/9780521876223. The vast number of problems alone makes it an ideal supplementary text for all levels of undergraduate physics courses in classical mechanics. Remarks are scattered throughout the text, discussing issues that are often glossed over in other textbooks, and it is thoroughly illustrated with more than 600 figures to help demonstrate key concepts.
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Eurocode 3, Part 1.3, Supplementary rules for cold formed members and sheeting (EN 1993-1-3:2004) has been published. This standard replaces pre-standard ENV 1993-1-3:1996 and contains updates and revisions to the pre-standard ENV 1993-1-3.
ECCS has published document No. 114 Preliminary worked examples according to Eurocode 3 Part 1.3 (2000) prepared by ECCS TC 7 using the pre-standard ENV 1993-1-3. The original aim was to check the applicability and accuracy of the pre-standard and assist the practical use of the provisions.
This new publication replaces ECCS document No. 114. The examples have been updated following the provisions given in EN 1993-1-3. Some new examples have been also included. These examples show applicability of design provisions in EN 1993-1-3 in practice. They also help in interpretation of the guidance given in the code.
Chapter 2 contains examples related to one industrial building. Different aspects related to the design of structural components have been included.
-Example A: Roof sheeting
-Example B: Liner trays
-Example C: Purlins
-Example D: Portal frames
-Example E: End wall and wind bracing
Chapter 3 contains additional examples for specific structural elements or features of EN 1993-1-3, which are included to assist in practical use of the provision.
-Example F: C-section in compression and bending about axis of symmetry
-Example G. U-section in bending and compression
-Example H: C-section in compression
-Example I: Hat section upper chord of lattice girder
-Example J: Sheeting with stiffeners in flange and web
-Example K: Inelastic reserve of sheeting
-Example L: Double C-section as end column
The calculations are based on the provisions of EN 1993-1-3. Also parts EN 1993-1-5 and EN 1993-1-1 are required in the calculations. In some cases engineering judgement has been followed. If other methods in addition to Eurocode 3 have been used it has been clearly noted in the examples.
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