This book, first published in 1998, is the second in a two volume work and introduces integral and differential calculus, waves, matrices, and eigenvectors for undergraduates in physics and engineering. Together, the two volumes cover all the mathematics needed for an introductory course in the physical sciences. The approach taken is to learn through understanding real examples, showing mathematics as a tool for understanding physical systems and their behaviour. The aim is to make the student feel at home with real problems by creating a toolkit through a wide range of examples. The traditional approach of teaching theory for its own sake is not used in this course. Dr. Lyons brings a wealth of teaching experience to this refreshing textbook on the fundamentals of mathematics for physics and engineering.

Why is the square root of minus one relevant to electrical circuits? Can geometry be used to solve problems in the physical sciences? How could you help a being on a distant planet distinguish left and right? With a clear understanding of mathematics, these questions can be solved. But in many textbooks, mathematical proofs and techniques cloud the issue of understanding the physical principles. This book shows why particular techniques are useful by providing clear and full explanations. The aim is to convey a deeper appreciation of mathematical methods that are applicable to physics and engineering. A wide range of real physical problems are discussed. The author has thirty years experience of teaching mathematics to undergraduates. This book is based on the explanations he has found to be most successful in teaching.

Physics and engineering students need a clear understanding of mathematics in order to solve a vast array of problems posed to them in coursework. Unfortunately, in many textbooks, mathematical proofs and techniques obscure a fundamental understanding of the physical principles. In a clear and didactic manner, this book explains to the student why particular advanced mathematical techniques are useful for solving certain problems. The aim is to convey a deeper appreciation of mathematical methods that are applicable to physics and engineering through a discussion of a wide range of real physical problems. The topics covered include simultaneous equations, three-dimensional geometry and vectors, complex numbers, differential equations, partial derivatives, Taylor series, and Lagrange multipliers.

This is an excellent tool kit for solving the mathematical problems encountered by undergraduates in physics and engineering. This second book in a two volume work introduces integral and differential calculus, waves, matrices, and eigenvectors. All mathematics needed for an introductory course in the physical sciences is included. The emphasis is on learning through understanding real examples, showing mathematics as a tool for understanding physical systems and their behavior, so that the student feels at home with real mathematical problems. Dr. Lyons brings a wealth of teaching experience to this refreshing textbook on the fundamentals of mathematics for physics and engineering.

This is an excellent tool kit for solving the mathematical problems encountered by undergraduates in physics and engineering. This second book in a two volume work introduces integral and differential calculus, waves, matrices, and eigenvectors. All mathematics needed for an introductory course in the physical sciences is included. The emphasis is on learning through understanding real examples, showing mathematics as a tool for understanding physical systems and their behavior, so that the student feels at home with real mathematical problems. Dr. Lyons brings a wealth of teaching experience to this refreshing textbook on the fundamentals of mathematics for physics and engineering.

Together, the two volumes cover all the mathematics needed for an introductory course in the physical sciences. The approach taken is to learn through understanding real examples, showing mathematics as a tool for understanding physical systems and their behaviour. The aim is to make the student feel at home with real problems by creating a toolkit through a wide range of examples. The traditional approach of teaching theory for its own sake is not used in this course. Dr Lyons brings a wealth of teaching experience to this refreshing textbook on the fundamentals of mathematics for physics and engineering.