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Written for students without mathematics A level who are entering an engineering or applied science degree via a preliminary year. The book introduces the basic ideas of mathematics through applications in physics and engineering, providing a firm foundation in functions and calculus for the subsequent degree. Students are encouraged to use computers and calculators effectively and to develop skills in mathematical modelling.

Understanding key mathematical concepts and applying them successfully to solve problems are vital skills that all engineering students must acquire. Mathematics for Engineers teaches, develops and nurtures those skills. Practical, informal and accessible, it begins with the foundations and gradually builds upon this knowledge as it introduces more complex concepts until you have learned everything you will need for your first year engineering maths course, together with introductory material for even more advanced topics.

Author: Vladimir V. Mitin,Vladimir Vasilʹevich Mitin,Dmitri A. Romanov,M. Polis

Publisher: Wiley-Interscience

ISBN: 9780471417705

Category: Mathematics

Page: 308

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A convenient single source for vital mathematical concepts, written by engineers and for engineers. Builds a strong foundation in modern applied mathematics for engineering students, and offers them a concise and comprehensive treatment that summarizes and unifies their mathematical knowledge using a system focused on basic concepts rather than exhaustive theorems and proofs. The authors provide several levels of explanation and exercises involving increasing degrees of mathematical difficulty to recall and develop basic topics such as calculus, determinants, Gaussian elimination, differential equations, and functions of a complex variable. They include an assortment of examples ranging from simple illustrations to highly involved problems as well as a number of applications that demonstrate the concepts and methods discussed throughout the book. This broad treatment also offers:* Key mathematical tools needed by engineers working in communications, semiconductor device simulation, and control theory * Concise coverage of fundamental concepts such as sets, mappings, and linearity * Thorough discussion of topics such as distance, inner product, and orthogonality * Essentials of operator equations, theory of approximations, transform methods, and partial differential equationsIt makes an excellent companion to less general engineering texts and a useful reference for practitioners.

Since its original publication in 1969, Mathematics for Engineers and Scientists has built a solid foundation in mathematics for legions of undergraduate science and engineering students. It continues to do so, but as the influence of computers has grown and syllabi have evolved, once again the time has come for a new edition. Thoroughly revised to meet the needs of today's curricula, Mathematics for Engineers and Scientists, Sixth Edition covers all of the topics typically introduced to first- or second-year engineering students, from number systems, functions, and vectors to series, differential equations, and numerical analysis. Among the most significant revisions to this edition are: Simplified presentation of many topics and expanded explanations that further ease the comprehension of incoming engineering students A new chapter on double integrals Many more exercises, applications, and worked examples A new chapter introducing the MATLAB and Maple software packages Although designed as a textbook with problem sets in each chapter and selected answers at the end of the book, Mathematics for Engineers and Scientists, Sixth Edition serves equally well as a supplemental text and for self-study. The author strongly encourages readers to make use of computer algebra software, to experiment with it, and to learn more about mathematical functions and the operations that it can perform.

Publisher: Macmillan International Higher Education

ISBN: 1349147141

Category: Engineering

Page: 392

View: 432

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This book is intended primarily for students without science A-levels or the equivalent who are entering an engineering degree or Higher National Diploma course via a foundation year. In this new edition the coverage has been extended to include five new topics: one deals with the nucleus, and the others extend the discussion of materials into the first year degree and diploma context. There is a new appendix on calculation technique.

Engineering Mathematics is a comprehensive textbook for vocational courses and foundation modules at degree level. John Bird's approach, based on numerous worked examples supported by problems, is ideal for students of a wide range of abilities, and can be worked through at the student's own pace. Theory is kept to a minimum, placing a firm emphasis on problem-solving skills, and making this a thoroughly practical introduction to the core mathematics needed for engineering studies and practice. The book presents a logical topic progression, rather than following the structure of a particular syllabus. However, coverage has been carefully matched to the two mathematics units within the new BTEC National specifications, and AVCE specifications. New sections on Boolean algebra, logic circuits matrices and determinants have been added to ensure full syllabus match. Includes: 900 worked examples, 1700 further problems, 234 multiple choice questions (answers provided), and 16 assessment papers - ideal for use as tests or homework. These are the only problems where answers are not provided in the book. Full worked solutions are available to lecturers only as a free download from http://textbooks.elsevier.com * A complete foundation mathematics course for engineering students * Student-friendly learn-through-examples method appeals to engineers * Includes 850 worked examples, 1500 problems (answers provided), 200 multiple choice questions, and 15 assessment papers

A Foundation for Electronic, Electrical, Communications and Systems Engineers

Author: Anthony Croft,Tony Croft,Robert Davison

Publisher: N.A

ISBN: 9781292146652

Category: Electrical engineering

Page: 1024

View: 5424

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Revised edition of: Engineering mathematics: a foundation for electronic, electrical, communications, and systems engineers / Anthony Croft, Robert Davison, Martin Hargreaves. 3rd editon. 2001.

Foundation Maths has been written for students taking higher and further education courses who have not specialised in mathematics on post-16 qualifications and need to use mathematical tools in their courses. It is ideally suited to those studying marketing, business studies, management, science, engineering, social science, geography, combined studies and design. It will be useful for those who lack confidence and who need careful, steady guidance in mathematical methods. For those whose mathematical expertise is already established, the book will be a helpful revision and reference guide. The style of the book also makes it suitable for self-study and distance learning. Features of the book Mathematical processes are described in everyday language mathematical ideas are usually developed by example rather than formal proof, thereby encouraging students' learning. Key points highlight important results that need to be referred to easily or remembered. Worked examples are included throughout the book to reinforce learning. Self-assessment questions are provided at the END of most sections to test understanding of important parts of the section. Answers are given at the back of the book. Exercises provide a key opportunity to develop competence and understanding through practice. Answers are given at the back of the book. Test and assignment exercises (with answers provided in a separate Lecturers' Manual on the website) allow lecturers and tutors to set regular assignments or tests throughout the course. New to this EDITION Six new chapters: Chapter 4 Sets, Chapter 8 Number Bases, Chapter 9 Elementary Logic, Chapter 31 Integration by Parts, Chapter 36 Correlation and Chapter 37 Regression. Extra END-of-chapter questions for students (with answers) on the website at www.pearsoned.co.uk/croft . PowerPoint slides for lecturers on the website featuring Key Points from the book with their related Worked Examples. Anthony Croft has taught mathematics in further and higher education institutions for twenty four years. He is currently Director of the Mathematics Education Centre at Loughborough university, which has been designated a Centre for Excellence in Teaching and Learning by the Higher Education Funding Council for England. He teaches mathematics and engineering undergraduates, and has championed mathematics support for students who find the transition from school to university difficult and for students with learning difficulties. He has AUTHORed many very successful mathematics textbooks including several for engineering students. Robert Davison has twenty five years experience teaching mathematics in both further and higher education. He is currently Head of Quality in the Faculty of Computing Sciences and Engineering at De Montfort University, where he also teaches mathematics. He has AUTHORed many very successful mathematics textbooks including several for engineering students.

The Handbook of Mathematics for Engineers and Scientists covers the main fields of mathematics and focuses on the methods used for obtaining solutions of various classes of mathematical equations that underlie the mathematical modeling of numerous phenomena and processes in science and technology. To accommodate different mathematical backgrounds, the preeminent authors outline the material in a simplified, schematic manner, avoiding special terminology wherever possible. Organized in ascending order of complexity, the material is divided into two parts. The first part is a coherent survey of the most important definitions, formulas, equations, methods, and theorems. It covers arithmetic, elementary and analytic geometry, algebra, differential and integral calculus, special functions, calculus of variations, and probability theory. Numerous specific examples clarify the methods for solving problems and equations. The second part provides many in-depth mathematical tables, including those of exact solutions of various types of equations. This concise, comprehensive compendium of mathematical definitions, formulas, and theorems provides the foundation for exploring scientific and technological phenomena.

Foundation Mathematics for IIT-JEE/ Olympiad Class 10 is the thoroughly revised and updated 4th edition (2 colour) of the comprehensive book for class 10 students who aspire to become Engineers. The book goes for a complete makeover to 2-colour (from B&W) so as to make it more reader friendly. The theoretical concepts in the book are accompanied by Illustrations, Check Points, Do You Know?, Idea Box, and Knowledge Enhancer. The book has in total 1815 questions divided into 4 levels of fully solved exercises, which are graded as per their level of difficulty. Exercise 1: FIB, True-False, Matching, Very Short, Short and Long Answer Type Questions Exercise 2: Textbook, Exemplar and HOTS Questions Exercise 3 & 4: MCQs 1 Correct, MCQs>1 Correct, Passage, Assertion-Reason, Multiple Matching and Integer Type Questions. The book adheres to the latest syllabus set by the NCERT, going beyond by incorporating those topics which will assist the students scale-up in the next classes to achieve their academic dreams of Engineering. These topics are separately highlighted as Connecting Topics and an exercise is developed on the same.

John Bird’s approach, based on numerous worked examples and interactive problems, is ideal for students from a wide range of academic backgrounds, and can be worked through at the student’s own pace. Basic mathematical theories are explained in a straightforward manner, being supported by practical engineering examples and applications in order to ensure that readers can relate theory to practice. The extensive and thorough topic coverage makes this an ideal text for a range of university degree modules, foundation degrees, and HNC/D units. Now in its sixth edition, Higher Engineering Mathematics is an established textbook that has helped many thousands of students to gain exam success. It has been updated to maximise the book’s suitability for first year engineering degree students and those following foundation degrees. This book also caters specifically for the engineering mathematics units of the Higher National Engineering schemes from Edexcel. As such it includes the core unit, Analytical Methods for Engineers, and two specialist units, Further Analytical Methods for Engineers and Engineering Mathematics, both of which are common to the electrical/electronic engineering and mechanical engineering pathways. For ease of reference a mapping grid is included that shows precisely which topics are required for the learning outcomes of each unit. The book is supported by a suite of free web downloads: • Introductory-level algebra: To enable students to revise the basic algebra needed for engineering courses – available at http://books.elsevier.com/companions/XXXXXXXXX • Instructor's Manual: Featuring full worked solutions and mark schemes for all of the assignments in the book and the remedial algebra assignment – available at http://www.textbooks.elsevier.com (for lecturers only) • Extensive Solutions Manual: 640 pages featuring worked solutions for 1,000 of the further problems and exercises in the book – available on http://www.textbooks.elsevier.com (for lecturers only)

Mathematics for Engineers and Technologists provides students of engineering and technology with a wide range of analytical and numerical techniques for making quantitative assessments of engineering and technological phenomena. The book provides a foundation for the solution of equations that arise in mathematical descriptions of real world problems. It underpins much of the engineering teaching from second year right through to the final year, and brings together, under a common framework, many diverse areas of mathematics that are essential to all technology and engineering students.

Vector Analysis, Ordinary Differential Equations and Laplace Transforms

Author: Kwong-Tin Tang

Publisher: Springer Science & Business Media

ISBN: 3540302700

Category: Science

Page: 339

View: 6741

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Pedagogical insights gained through 30 years of teaching applied mathematics led the author to write this set of student-oriented books. Topics such as complex analysis, matrix theory, vector and tensor analysis, Fourier analysis, integral transforms, ordinary and partial differential equations are presented in a discursive style that is readable and easy to follow. Numerous clearly stated, completely worked out examples together with carefully selected problem sets with answers are used to enhance students' understanding and manipulative skill. The goal is to help students feel comfortable and confident in using advanced mathematical tools in junior, senior, and beginning graduate courses.

Mathematics Applied to Engineering presents a comprehensive range of mathematics applied in various fields of engineering. A wide array of applied mathematical techniques for an equally wide range of engineering applications are discussed in each chapter, such as those practiced in civil engineering, extensively in physics, the use of the finite element method and differential equations in mechanical engineering, applications of numerical simulation, combinatorics, genetic algorithms in computer science engineering, the use of fuzzy theory in electronics, and more. Covers many mathematical techniques for robotics, computer science, mechanical engineering, HCI and machinability Describes different algorithms, such as the genetic algorithm Explains different modeling techniques and simulations

"Mathematics for Engineers I" gehört zu einer vierbändigen Reihe und gibt eine Einführung in die Mathematik für Undergraduates, die ein Bachelor-Studium im Bereich Ingenieurwissenschaften aufgenommen haben. In Band I sind die Grundzüge des klassischen Calculus dargestellt. Die Reihe unterscheidet sich von traditionellen Texten dadurch, dass sie interaktiv ist und mit Hilfe des Computer-Algebra-Systems Mathematica die Berechnungen darstellt.

"Mathematics for Engineers II" gehört zu einer vierbändigen Reihe und gibt eine Einführung in die Mathematik für Undergraduates, die ein Bachelor-Studium im Bereich Ingenieurwissenschaften aufgenommen haben. In Band II wird der klassische Calculus fort- und in die Grundlagen der Linearen Algebra eingeführt. Die Reihe unterscheidet sich von traditionellen Texten dadurch, dass sie interaktiv ist und mit Hilfe des Computer-Algebra-Systems Mathematica die Berechnungen darstellt. Jedem Buch liegt eine CD bei, die die Rechenprogramme und den vollständigen Text in Mathemetica enthält. Den Studierenden eröffnet sich so die Möglichkeit, interaktiv die Vorlesungsmaterialien nachzuvollziehen und die Fragestellungen des Texts sowie der Beispiele mit Unterstützung von Mathematica zu lösen.

The beginner’s choice for engineering exams preparation. ok for JEE Mains/Advanced, NTSE, KVPY, Olympiad, IIT Foundation + CAT

Author: Ramesh Chandra

Publisher: Notion Press

ISBN: 1946714712

Category: Mathematics

Page: 314

View: 2262

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The book intended exclusively for the usage of students, teachers and persons who are related to competitive exams. The book is based on our experience over the past 8 years and design on the basis of current competitive level of Engineering like IIT JEE mains/ Advanced, MHT-CET, BITSAT + NTSE, KVPY, Olympiad, IIT Foundation + CAT and other state engineering exams in India, where 1194938 i.e. around 12 Lakh of students (Year 2016) write a single engineering exam. As an educator, I understand the student’s need of these topics and the difficulties faces by students in transition from standard 10th to 11th class. As students enter their 11th standard, they find a substantial change in the course content and level of difficulty. They find some totally new concepts of Mathematics, widely used in Physics and Chemistry. They may be completely unfamiliar with concepts of absolute value, Interval Methods, Set Notation, inequalities etc. The book has been prepared for them to learn the concepts of algebra from basic to advanced level of thinking. The book is prepared to serve as a bridge for 10th to 11th standards, CAT aspirants etc. Software engineers can also be in benefit in writing the code due to concepts clarity. The book contains the following Learning Methodology. (i) Basic concepts and easy learning. (ii) Necessary examples and experiments for beginners level to expert. (iii) Psychology of student’s brain and their thinking. (iv) Pictorial view of problems and solutions. (v) Challenging problems (Ultimate Finish – for Top All India Rankers between 1 - 500). (vi) Exercises and Assignments to test the understanding and growing knowledge. (vii) Sample Test Paper to have experience before actual exam. (viii) Puzzles and interactive learning to keep interest. (ix) How to make notes to up-to-date and add your thinking inside the book. (x) Archive of IIT-JEE Mains/Advanced. (xi) All types of questions (Single and Multi-correct, Integer Type, Comprehension, Assertion-reason, Matrix-Match) i.e Subjective and Objective both.