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James, G: Modern Engineering Mathematics

Autor Phil Dyke
en Limba Engleză Paperback – 28 feb 2020

Ceea ce diferențiază Modern Engineering Mathematics de documentația oficială sau de manualele pur teoretice este modul în care profesorii Glyn James și Phil Dyke reușesc să transforme rigoarea matematică într-un instrument de lucru aplicat. Apreciem în mod deosebit structura celor 1160 de pagini, care nu se limitează la prezentarea formulelor, ci construiește o punte directă către problemele reale din inginerie prin sute de exemple rezolvate pas cu pas.

Dacă Engineering Mathematics with MATLAB v-a oferit cadrul teoretic și simularea asistată de calculator, această carte oferă instrumentele practice de bază, consolidând înțelegerea conceptuală înainte de a trece la modelarea numerică. Subliniem organizarea logică a conținutului: volumul debutează cu bazele algebrei și geometriei, avansează rapid către numere complexe și algebră vectorială, pentru ca în a doua jumătate să abordeze subiecte avansate precum transformările Laplace (Capitolul 11) și seriile Fourier (Capitolul 12).

Merită menționat că textul este conceput special pentru modulele de licență din primul an, integrând în mod natural analiza datelor și teoria probabilităților, elemente esențiale în contextul ingineriei moderne. Spre deosebire de Mathematics for Electrical Engineering and Computing, care se concentrează pe sisteme discrete și software, lucrarea de față asigură o bază solidă pentru orice ramură a ingineriei, punând accent pe continuitatea dintre calculul diferențial și aplicațiile sale practice.

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Specificații

ISBN-13: 9781292253497
ISBN-10: 1292253495
Pagini: 1160
Dimensiuni: 187 x 244 x 48 mm
Greutate: 1.89 kg
Ediția:6. Auflage
Editura: Pearson Education

De ce să citești această carte

Această resursă este esențială pentru studenții la inginerie care doresc să stăpânească fundamentele matematice prin practică. Cititorul câștigă claritate în aplicarea metodelor complexe, precum transformările Laplace, datorită sutelor de exerciții rezolvate. Este un manual de referință care transformă matematica dintr-o barieră teoretică într-un avantaj competitiv în cariera de inginer.


Despre autor

Profesorii Glyn James și Phil Dyke sunt cadre didactice cu o experiență vastă în predarea matematicii aplicate la nivel universitar. Glyn James a coordonat numeroase ediții ale acestui text fundamental, fiind recunoscut pentru capacitatea de a face conceptele abstracte accesibile viitorilor ingineri. Phil Dyke, expert în modelare matematică, aduce o perspectivă practică asupra modului în care ecuațiile diferențiale și analiza Fourier sunt utilizate în industrie. Împreună cu echipa formată din Matthew Craven, John Searl și Yinghui Wei, aceștia oferă un standard educațional recunoscut prin publicațiile de succes la Pearson Education.


Notă biografică

Glyn James was most recently Emeritus Professor in Mathematics at Coventry University and was previously Dean of the School of Mathematical and Information Sciences at Coventry University. He had an active interest in mathematics education and was a past chairman of the Education Committee of the Institute of Mathematics and its Applications, and a member of the Royal Society Mathematics Education Subcommittee. In 1995 he was chairman of the Working Group that produced the report Mathematics Matters in Engineering on behalf of UK professional bodies in engineering and mathematics. He also co-edited five mathematics books and was a member of the advisory boards for three international journals. Sadly, Glyn James passed away in October 2019 during the production of this edition; his enthusiastic input was sorely missed, but this and its companion text Advanced Modern Engineering Mathematics remain a fitting legacy.
Phil Dyke is Professor of Applied Mathematics at the University of Plymouth. He was a Head of School for 22 years, 18 of these as Head of Mathematics and Statistics. He has over 45 years' teaching and research experience in Higher Education, much of this teaching engineering students not only mathematics but also marine and coastal engineering. Apart from his contributions to both Modern Engineering Mathematics and Advanced Modern Engineering Mathematics he is the author of 11 other textbooks ranging in topic from advanced calculus, Laplace transforms and Fourier series to mechanics and marine physics. He is now semi-retired, but still teaches, is involved in research, and writes. He is a Fellow of the Institute of Mathematics and its Applications.
Matthew Craven is a Lecturer in Applied Mathematics at the University of Plymouth. For fifteen years, he has taught foundation year courses, postgraduate courses and everything in between. He is also part of the author team for the 5th edition of the companion text, Advanced Modern Engineering Mathematics. He has research interests in computational simulation, real-world operational research, high performance computing and optimisation.
Yinghui Wei is an Associate Professor of Statistics at the University of Plymouth. She has taught probability and statistics modules for mathematics programmes as well as for programmes in other subject areas, including engineering, business and medicine. She has broad research interests in statistical modelling, data analysis and evidence synthesis.
John Searl was Director of the Edinburgh Centre for Mathematical Education at the University of Edinburgh before his retirement. As well as lecturing on mathematical education, he taught service courses for engineers and scientists. His most recent research concerned the development of learning environments that make for the effective learning of mathematics for 16 - 20 year olds. As an applied mathematician he worked collaboratively with (amongst others) engineers, physicists, biologists and pharmacologists, and he is keen to develop problem-solving skills of students and to provide them with opportunities to display their mathematical knowledge within a variety of practical contexts. The contexts develop the extended reasoning needed in all fields of engineering.

Cuprins

Preface xxii
About the authors xxv
Publisher's acknowledgements xxvii
Chapter 1 Number, Algebra and Geometry
Chapter 2 Functions
Chapter 3 Complex Numbers
Chapter 4 Vector Algebra
Chapter 5 Matrix Algebra
Chapter 6 An Introduction to Discrete Mathematics
Chapter 7 Sequences, Series and Limits
Chapter 8 Differentiation and Integration
Chapter 9 Further Calculus
Chapter 10 Introduction to Ordinary Differential Equations
Chapter 11 Introduction to Laplace Transforms
Chapter 12 Introduction to Fourier Series
Chapter 13 Data Handling and Probability Theory
Appendix I Tables
Answers to Exercises
Index

Descriere

For first-year undergraduate modules in Engineering Mathematics. Develop understanding and maths skills within an engineering context Modern Engineering Mathematics, 6th Edition by Professors Glyn James and Phil Dyke, draws on the teaching experience and knowledge of three co-authors, Matthew Craven, John Searl and Yinghui Wei, to provide a comprehensive course textbook explaining the mathematics required for studying first-year engineering. No matter which field of engineering you will go on to study, this text provides a grounding of core mathematical concepts illustrated with a range of engineering applications. Its other hallmark features include its clear explanations and writing style, and the inclusion of hundreds of fully worked examples and exercises which demonstrate the methods and uses of mathematics in the real world. Woven into the text throughout, the authors put concepts into an engineering context, showing you the relevance of mathematical techniques and helping you to gain a fuller appreciation of how to apply them in your studies and future career. Also available with MyLab Math MyLab(TM) is the teaching and learning platform that empowers you to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab personalizes the learning experience and improves results for each student. MyLab Math for this textbook has over 1150 questions to assign to your students, including exercises requiring different types of mathematics applications for a variety of industry types. Learn more about MyLab Math. Note You are purchasing a standalone product; MyLab Math does not come packaged with this content. Students, if interested in purchasing this title with MyLab Math, ask your instructor to confirm the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information. If you would like to purchase both the physical text and MyLab Math search for: 129233536X / 9781292335360 Modern Engineering Mathematics 6th Edition plus MyLab Math with eText -- Access Card Package Package consists of: 1292253495 / 9781292253497 Modern Engineering Mathematics 6th Edition 1292253525 / 9781292253527 MyLab Math with Pearson eText -- Access Card -- for Modern Engineering Mathematics 6th Edition Pearson, the world's learning company.