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How do you draw a straight line? How do you determine if a circle is really round? These may sound like simple or even trivial mathematical problems, but to an engineer the answers can mean the difference between success and failure. How Round Is Your Circle? invites readers to explore many of the same fundamental questions that working engineers deal with every day--it's challenging, hands-on, and fun. John Bryant and Chris Sangwin illustrate how physical models are created from abstract mathematical ones. Using elementary geometry and trigonometry, they guide readers through paper-and-pencil reconstructions of mathematical problems and show them how to construct actual physical models themselves--directions included. It's an effective and entertaining way to explain how applied mathematics and engineering work together to solve problems, everything from keeping a piston aligned in its cylinder to ensuring that automotive driveshafts rotate smoothly. Intriguingly, checking the roundness of a manufactured object is trickier than one might think. When does the width of a saw blade affect an engineer's calculations--or, for that matter, the width of a physical line? When does a measurement need to be exact and when will an approximation suffice? Bryant and Sangwin tackle questions like these and enliven their discussions with many fascinating highlights from engineering history. Generously illustrated, How Round Is Your Circle? reveals some of the hidden complexities in everyday things.

Revised and updated, the new Fifth Edition of Complex Analysis for Mathematics and Engineering presents a comprehensive, student-friendly introduction to Complex Analysis. It's clear, concise writing style and numerous applications make the foundations of the subject matter easily accessible for students and proofs are presented at an elementary level that is understandable by students with a sophomore calculus background. Believing that mathematicians, engineers, and scientists should be exposed to a careful presentation of mathematics, attention to topics such as ensuring required assumptions are met before the use of a theorem or algebraic operations are applied. A new chapter on Z-Transforms and Applications provides students with a current look at Digital Filter Design and Signal Processing.

"STEM Lesson Essentials moves beyond the rhetoric and provides knowledge, tools, models, and examples that make STEM a reality of teaching and learning in classrooms." -Rodger Bybee, Executive Director (Retired), Biological Sciences Curriculum Study Want to know how to implement authentic STEM teaching and learning into your classroom? STEM Lesson Essentials provides all the tools and strategies you'll need to design integrated, interdisciplinary STEM lessons and units that are relevant and exciting to your students. With clear definitions of both STEM and STEM literacy, the authors argue that STEM in itself is not a curriculum, but rather a way of organizing and delivering instruction by weaving the four disciplines together in intentional ways. Rather than adding two new subjects to the curriculum, the engineering and technology practices can instead be blended into existing math and science lessons in ways that engage students and help them master 21st century skills. STEM Lesson Essentials shows teachers how to begin the STEM integration journey with: five guiding principles for effective STEM instruction classroom examples of what these principles look like in action sample activities that put all four STEM fields into practice lesson planning templates for STEM units. Explicit connections are made among the STEM practices, including the Common Core Standards for Mathematical Practice and the Framework for K-12 Science Education, helping you easily recognize ways in which STEM lessons can engage students in multiple standards at the same time. With ideas that are practical and achievable in any classroom, STEM Lesson Essentials will give you the confidence and knowledge to weave engineering and technology concepts into your math and science curriculum. STEM teaching doesn't have to be hard. You just have to get started. Try it out with STEM Lesson Essentials, and watch student understanding, achievement, and motivation soar.

Unlike a couse in "calculus" or "differential equations", in which the content of the course is fairly standardized, the content of a course titled "engineering mathematics" often varies considerably among academic institutions. A text in Advanced Engineering Mathematics is, therefore a compendium of many mathematical topics, all of which are loosely related by the expedient of either being needed or useful in courses and subsequent careers in science and engineering. There is literally no upper bound to the number of topics that could be included in this kind of text. Consequently, this book represents the most accurate list of what constitutes "engineering mathematics" in the authors' opinions. For flexibility in topic selection the text is divided into five major parts or subdivisions that illustrate the authors' belief that the backbone of science/engineering related mathematics is the theory and applications of ordinary and partial differential equations. A Student Solutions Manual is sold separately (ISBN: 0-7637-1285-X). A Complete Solutions Manual (for qualified instructors only) is available through the publisher (ISBN: 0-7637-1356-2) NEW! Each of the five major parts of the text opens with an essay by an acknowledged expert in his or her field in engineering. Numerous real-world applications, current examples, and a great many illustrations help students visualize important concepts and apply the material to their everyday lives. Written by a successful differential equations author! Exercises vary in difficulty to reinforce the understanding of the material found in the chapters. Each chapter has an opening page that includes a table of contents, an introduction, a list of important concepts in that chapter, and a list of relevant topics. Answers to odd-numbered problems are given in the back of the text. Along with summaries and review exercises at the end of each chapter.

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What would we do without bridges? They allow us to cross over great heights and dangerous waters that would be inaccessible without bridges. But some bridges are more than a link between two places. From New York to Singapore, the stories of these bridges celebrate the engineers, architects, and the workers who built them. Learn about the world's famous bridges while learning fractions. This nonfiction book combines math and literacy skills and uses everyday examples of problem solving to teach subject area content. The full-color images, math charts and diagrams, sidebars, and practice problems make learning math easy and fun. Text features include a table of contents, glossary, and index to increase understanding of math and reading concepts. An in-depth problem-solving section provides additional learning opportunities while challenging students' higher-order thinking skills.

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Introduces engineers, computer scientists, and physicists to advanced math topics as they relate to practical problems. The material is arranged into seven independent parts: ODE; Linear Algebra, Vector calculus; Fourier Analysis and Partial Differential Equations; Complex Analysis; Numerical methods; Optimization, graphs; Probability and Statistics.

Mathematics for Electrical Engineering and Computing embraces many applications of modern mathematics, such as Boolean Algebra and Sets and Functions, and also teaches both discrete and continuous systems - particularly vital for Digital Signal Processing (DSP). In addition, as most modern engineers are required to study software, material suitable for Software Engineering - set theory, predicate and prepositional calculus, language and graph theory - is fully integrated into the book.Excessive technical detail and language are avoided, recognising that the real requirement for practising engineers is the need to understand the applications of mathematics in everyday engineering contexts. Emphasis is given to an appreciation of the fundamental concepts behind the mathematics, for problem solving and undertaking critical analysis of results, whether using a calculator or a computer.The text is backed up by numerous exercises and worked examples throughout, firmly rooted in engineering practice, ensuring that all mathematical theory introduced is directly relevant to real-world engineering. The book includes introductions to advanced topics such as Fourier analysis, vector calculus and random processes, also making this a suitable introductory text for second year undergraduates of electrical, electronic and computer engineering, undertaking engineering mathematics courses.Dr Attenborough is a former Senior Lecturer in the School of Electrical, Electronic and Information Engineering at South Bank University. She is currently Technical Director of The Webbery - Internet development company, Co. Donegal, Ireland.Fundamental principles of mathematics introduced and applied in engineering practice, reinforced through over 300 examples directly relevant to real-world engineering

This book is designed to serve as a core text for courses in advanced engineering mathematics required by many engineering departments. The style of presentation is such that the student, with a minimum of assistance, can follow the step-by-step derivations. Liberal use of examples and homework prob­lems aid the student in the study of the topics presented. Ordinary differential equations, including a number of physical applica­tions, are reviewed in Chapter One. The use of series methods are presented in Chapter Two, Subsequent chapters present Laplace transforms, matrix theory and applications, vector analysis, Fourier series and transforms, partial differential equations, numerical methods using finite differences, complex vari­ables, and wavelets. The material is presented so that four or five subjects can be covered in a single course, depending on the topics chosen and the completeness of coverage.Incorporated in this textbook is the use of certain computer software packages. Short tutorials on Maple, demonstrating how problems in engineering mathematics can be solved with a computer algebra system, are included in most sections of the text. Problems have been identified at the end of sections to be solved specifically with Maple, and there are computer laboratory activities, which are more difficult problems designed for Maple. In addition, MATLAB and Excel have been included in the solution of problems in several of the chapters.There is a solutions manual available for those who select the text for their course. This text can be used in two semesters of engineering mathematics. The many helpful features make the text relatively easy to use in the classroom. 

This market leading text is known for its comprehensive coverage, careful and correct mathematics, outstanding exercises and self contained subject matter parts for maximum flexibility. Thoroughly updated and streamlined to reflect new developments in the field, the ninth edition of this bestselling text features modern engineering applications and the uses of technology. Kreyszig introduces engineers and computer scientists to advanced math topics as they relate to practical problems. The material is arranged into seven independent parts: ODE; Linear Algebra, Vector Calculus; Fourier Analysis and Partial Differential Equations; Complex Analysis; Numerical methods; Optimization, graphs; and Probability and Statistics.

The text presented deals with advanced topics in engineering mathematics usually included in the syllabi of degree courses of engineering technology applied sciences and equivalent professional examinations of most of the universities. The book also contains a number of supplementary problems with answers (hints have been provided wherever necessary). Some major features of this book are: The text has been presented in such a form that it can be followed by the students with minimum guidance from others. Over 600 typical solved problems from easy to difficult supplemented with neat sketches wherever necessary have been provided. In each chapter maximum possible emphasis has been laid on theory. The notations used are as per latest standards.

This is the student Solutions Manual to accompany Advanced Engineering Mathematics, Volume 2, Tenth Edition.This market-leading text is known for its comprehensive coverage, careful and correct mathematics, outstanding exercises, and self contained subject matter parts for maximum flexibility. The new edition continues with the tradition of providing instructors and students with a comprehensive and up-to-date resource for teaching and learning engineering mathematics, that is, applied mathematics for engineers and physicists, mathematicians and computer scientists, as well as members of other disciplines.

Advanced Engineering Mathematics: Applications Guide is a text that bridges the gap between formal and abstract mathematics, and applied engineering in a meaningful way to aid and motivate engineering students in learning how advanced mathematics is of practical importance in engineering.  The strength of this guide lies in modeling applied engineering problems.  First-order and second-order ordinary differential equations (ODEs) are approached in a classical sense so that students understand the key parameters and their effect on system behavior. The book is intended for undergraduates with a good working knowledge of calculus and linear algebra who are ready to use Computer Algebra Systems (CAS) to find solutions expeditiously.  This guide can be used as a stand-alone for a course in Applied Engineering Mathematics, as well as a complement to Kreyszig’s Advanced Engineering Mathematics or any other standard text.

Advanced Engineering Mathematics: Applications Guide is a text that bridges the gap between formal and abstract mathematics, and applied engineering in a meaningful way to aid and motivate engineering students in learning how advanced mathematics is of practical importance in engineering.  The strength of this guide lies in modeling applied engineering problems.  First-order and second-order ordinary differential equations (ODEs) are approached in a classical sense so that students understand the key parameters and their effect on system behavior. The book is intended for undergraduates with a good working knowledge of calculus and linear algebra who are ready to use Computer Algebra Systems (CAS) to find solutions expeditiously.  This guide can be used as a stand-alone for a course in Applied Engineering Mathematics, as well as a complement to Kreyszig’s Advanced Engineering Mathematics or any other standard text.

Modern Engineering Mathematics