Preface :
This, the seventh edition of Mathematical Methods for Physicists, maintains the tradition set
by the six previous editions and continues to have as its objective the presentation of all
the mathematical methods that aspiring scientists and engineers are likely to encounter as
students and beginning researchers. While the organization of this edition differs in some respects
from that of its predecessors, the presentation style remains the same: Proofs are sketched for almost
all the mathematical relations introduced in the book, and they are accompanied by examples that illustrate
how the mathematics applies to real-world physics problems. Large numbers of exercises provide opportunities for
the student to develop skill in the use of the mathematical concepts and also show a wide variety of contexts in which the mathematics is of practical use in physics.
As in the previous editions, the mathematical proofs are not what a mathematician would consider rigorous, but they nevertheless convey
the essence of the ideas involved, and also provide some understanding of the conditions and limitations associated with the relationships
under study. No attempt has been made to maximize generality or minimize the conditions necessary to establish the mathematical formulas,
but in general the reader is warned of limitations that are likely to be relevant to use of the mathematics in physics contexts.
TO THE STUDENT
The mathematics presented in this book is of no use if it cannot be applied with some skill, and the development of that skill cannot be acquired passively, e.g., by simply reading the text and understanding what is written, or even by listening attentively to presentations by your instructor.Your passive understanding needs to be supplemented by experience in using the concepts, in deciding how to convert expressions into useful forms, and in developing strategies for solving problems. A considerable body of background knowledge needs to be built up so as to have relevant mathematical tools at hand and to gain experience in their use. This can only happen through the solving of problems, and it is for this reason that the text includes nearly 1400 exercises, many with answers (but not methods of solution). If you are using this book for self-study, or if your instructor does not assign a considerable number of problems, you would be well advised to work on the exercises until you are able to solve a reasonable fraction of them.
This book can help you to learn about mathematical methods that are important in physics, as well as serve as a reference throughout and beyond your time as a student. It has been updated to make it relevant for many years to come.
Title : Mathematical methods for physicists - a comprehensive guide
author(s) : George B Arfken; Hans-Jurgen Weber; Frank E Harris
size : 11.3 Mb
file type : PDF
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