تکنیک‌های ریاضی و کاربردهای فیزیکی (فیزیک خالص و کاربردی، جلد ۳۵)

Mathematical Techniques and Physical Applications provides a wide range of basic mathematical concepts and methods, which are relevant to physical theory. This book is divided into 10 chapters that cover the different branches of traditional mathematics. This book deals first with the concept of vector, matrix, and tensor analysis. These topics are followed by discussions on several theories of series relevant to physics; the fundamentals of complex variables and analytic functions; variational calculus for presenting the basic laws of many branches of physics; and the applications of group representations. The final chapters explore some partial and integral equations and derivatives of physics, as well as the concept and application of probability theory. Physics teachers and students will greatly appreciate this book. Content: Front Matter Pages ii-iii Copyright page Page iv Preface Pages xiii-xiv Comment on Notation Page xv 1 - Vector Analysis Pages 1-59 2 - Matrices Pages 61-114 3 - Tensor Analysis Pages 117-164 4 - Sequences and Series Pages 167-209 5 - Complex Variables and Analytic Functions Pages 211-285 6 - Variational Calculus Pages 287-345 7 - Group Representations Pages 347-415 8 - Some Differential Equations of Physics Pages 417-551 9 - Integral Equations Pages 553-608 10 - Probability Theory Pages 611-671 Literature Survey Pages 673-702 Index Pages 703-715 Pure and Applied Physics Pages 716-717