This is a textbook for a survey course in physics taught without mathematics, that also takes into account the social impact and influences from the arts and society. It combines physics, literature, history and philosophy from the dawn of human life to the 21st century. It will also be of interest to the general reader.
Studying engineering, whether it is mechanical, electrical or civil relies heavily on an understanding of mathematics. This new textbook clearly demonstrates the relevance of mathematical principles and shows how to apply them to solve real-life engineering problems.
It deliberately starts at an elementary level so that students who are starting from a low knowledge base will be able to quickly get up to the level required. Students who have not studied mathematics for some time will find this an excellent refresher.
Each chapter starts with the basics before gently increasing in complexity. A full outline of essential definitions, formulae, laws and procedures are introduced before real world situations, practicals and problem solving demonstrate how the theory is applied.
Focusing on learning through practice, it contains examples, supported by 1,600 worked problems and 3,000 further problems contained within exercises throughout the text. In addition, 34 revision tests are included at regular intervals.
An interactive companion website is also provided containing 2,750 further problems with worked solutions and instructor materials
YOU DON’T HAVE TO BE A ROCKET SCIENTIST TO UNDERSTAND PHYSICS
Now anyone with an interest in the physical sciences can master physics -- without formal training or drowning in a sea of complicated formulas and equations. In Physics Demystified best-selling author Stan Gibilisco offers a fun, effective, and totally painless way to learn the fundamentals and general concepts of physics.
With Physics Demystified you master the subject one simple step at a time – at your own speed. Unlike most books on physics, general principles are presented first – and the details follow. In order to make the learning process as clear and simple as possible, heavy-duty math, formulas, and equations are kept to a minimum. This unique self-teaching guide offers questions at the end of each chapter and section to pinpoint weaknesses, and a 100-question final exam to reinforce the entire book.
Simple enough for a beginner but challenging enough for an advanced student, Physics Demystified is your direct route to learning or brushing up on physics.
This sixth edition of ‘Higher Engineering Mathematics’
covers essential mathematical material suitable
for students studying Degrees, Foundation Degrees,
Higher National Certificate and Diploma courses in
In this edition the material has been ordered into the
following twelve convenient categories: number and
algebra, geometry and trigonometry, graphs, complex
numbers, matrices and determinants, vector geometry,
differential calculus, integral calculus, differential equations,
statistics and probability, Laplace transforms and
Fourier series. New material has been added on logarithms
and exponential functions, binary, octal and
hexadecimal, vectors and methods of adding alternating
waveforms. Another feature is that a free Internet
download is available of a sample (over 1100) of the
further problems contained in the book.
This preface outlines the main philosophy of the course, and serves as a guide to the
instructor. It outlines reasons for the organization of the material and why this works for introducing
first year students to the major concepts and many applications of the differential
Calculus arose as an important tool in solving practical scientific problems through
the centuries. However, in many current courses, it is taught as a technical subject with
rules and formulas (and occasionally theorems), devoid of its connection to applications.
In this course, the applications form an important focal point, with a focus on life sciences.This
places the techniques and concepts into practical context, as well as motivating
quantitative approaches to biology taught to undergraduates. While many of the examples
have a biological flavour, the level of biology needed to understand those examples is kept
at a minimum. The problems are motivated with enough detail to follow the assumptions,
but are simplified for the purpose of pedagogy.
The mathematical philosophy is as follows: We start with elementary observations
about functions and graphs, with an emphasis on power functions and polynomials. This
introduces the idea of sketching of a graph from elementary properties of the function,
before calculus is discussed. It also leads to direct biological applications that illustrate the
idea of which terms in an expression (polynomial or rational function) dominate at which
range(s) of the independent variable.
Whatever your previous background in mathematics, it is likely that when you begin your
engineering studies at university you will need to consolidate your mathematical skills
before moving on to new material. The first ten chapters of this book are designed to help
with this ‘transition’ by providing you with individual pathways to quickly review your
current skills and understanding, then revise and reinforce where necessary.
Chapters 1–10 have a three-part structure by which you:
• Review your present knowledge and skills, with a review test on key
• Revise as you need to
• Reinforce the essential skills that you will need for your particular
programme, so that they are there when you need them.
The third edition of this highly acclaimed undergraduate textbook is suitable for teaching all the mathematics for an undergraduate course in any of the physical sciences. As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators. Further tabulations, of relevance in statistics and numerical integration, have been added. In this edition, half of the exercises are provided with hints and answers and, in a separate manual available to both students and their teachers, complete worked solutions. The remaining exercises have no hints, answers or worked solutions and can be used for unaided homework; full solutions are available to instructors on a password-protected web site, www.cambridge.org/9780521679718.
All there is to know about functional analysis, integral equations and calculus of variations in one handy volume, written for the specific needs of physicists and applied mathematicians.
The new edition of this handbook starts with a short introduction to functional analysis, including a review of complex analysis, before continuing a systematic discussion of different types of integral equations. After a few remarks on the historical development, the second part provides an introduction to the calculus of variations and the relationship between integral equations and applications of the calculus of variations. It further covers applications of the calculus of variations developed in the second half of the 20th century in the fields of quantum mechanics, quantum statistical mechanics and quantum field theory.
Throughout the book, the author presents a wealth of problems and examples often with a physical background. He provides outlines of the solutions for each problem, while detailed solutions are also given, supplementing the materials discussed in the main text. The problems can be solved by directly applying the method illustrated in the main text, and difficult problems are accompanied by a citation of the original references.
Highly recommended as a textbook for senior undergraduates and first-year graduates in science and engineering, this is equally useful as a reference or self-study guide.
Practice makes perfect—and helps deepen your understanding of calculus
1001 Calculus Practice Problems For Dummies takes you beyond the instruction and guidance offered in Calculus For Dummies, giving you 1001 opportunities to practice solving problems from the major topics in your calculus course. Plus, an online component provides you with a collection of calculus problems presented in multiple-choice format to further help you test your skills as you go.
Gives you a chance to practice and reinforce the skills you learn in your calculus course
Helps you refine your understanding of calculus
Practice problems with answer explanations that detail every step of every problem
The practice problems in 1001 Calculus Practice Problems For Dummies range in areas of difficulty and style, providing you with the practice help you need to score high at exam time.