Hints and outline answers to the odd-numbered problems are given at the end of each chapter, with fully-worked solutions to these problems given in the accompanying Student Solutions Manual. Fully-worked solutions to all problems, password-protected for instructors, are available at www.
Carefully structured as a series of self-paced and self-contained chapters, this text covers the essential and most important techniques needed by physical science students. Starting with complex numbers, the text then moves on to cover vector algebra, determinants, matrices, differentiation, integration, differential equations and finally vector calculus, all within an applied environment.
The reader is guided through these different techniques with the help of numerous worked examples, applications, problems, figures and summaries. The authors aim to provide high-quality and thoroughly class-tested material to meet the changing needs of science students.
Further Mathematics for the Physical Sciences will be invaluable to all students of physics, chemistry and engineering, needing to develop or refresh their knowledge of basic mathematics.
The book's structure will make it equally valuable for course use, home study or distance learning. As well as lucid descriptions of all the topics and many worked examples, it contains over 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. Separable Equations 3.
Linear First-Order Equations 4. Other Methods for First-Order Equations 5. Other Second-Order Equations 8. The Laplace Transform 9. Solution of Differential Equations by Laplace Transforms Convolution The Dirac Delta Function A Brief Introduction to Green Functions The Euler Equation 3.
Using the Euler Equation 4. The Brachistochrone Problem; Cycloids 5. Several Dependent Variables ; Lagrange's Equations 6. Isoperimetric Problems 7. Variational Notation 8.
Cartesian Tensors 3. Tensor Notation and Operations 4. Inertia Tensor 5. Kronecker Delta and Levi-Civita Symbol 6. Pseudovectors and Pseudotensors 7. More About Applications 8. Curvilinear Coordinates 9. Non-Cartesian Tensors The Factorial Function 3. Definition of the Gamma Function ; Recursion Relation 4. The Gamma Function of Negative Numbers 5. Beta Functions 7. Beta Functions in Terms of Gamma Functions 8. The Simple Pendulum 9. The Error Function Asymptotic Series Stirling's Formula Elliptic Integrals and Functions Legendre's Equation 3.
Leibniz' Rule for Differentiating Products 4. Rodrigues' Formula 5. Generating Function for Legendre Polynomials 6. Complete Sets of Orthogonal Functions 7. Orthogonality of the Legendre Polynomials 8. Normalization of the Legendre Polynomials 9.
Legendre Series The Associated Legendre Functions Generalized Power Series or the Method of Frobenius Bessel's Equation The Second Solution of Bessel's Equation Graphs and Zeros of Bessel Functions Recursion Relations Differential Equations with Bessel Function Solutions Other Kinds of Bessel Functions The Lengthening Pendulum Orthogonality of Bessel Functions Approximate Formulas for Bessel Functions Series Solutions ; Fuchs's Theorem The Wave Equation ; the Vibrating String 5.
Steady-state Temperature in a Cylinder 6. Vibration of a Circular Membrane 7. Steady-state Temperature in a Sphere 8.
Poisson's Equation 9. Analytic Functions 3. Mary L. Mathematical Methods in the Physical Sciences Mathematical Methods in the Physical Sciences. Publisher John Wiley. Publication Date This is a very traditional text for a mathematical methods course. It focuses on problem solving, drill, and concepts, rather than detailed theory. The first edition was published in and this third edition in It is much more PDF Mathematical methods for physical sciences vol. The working tools of the physical sciences, expertly organized into one volume Covering the basic concepts and working tools in the physical Boas- Mathematical Methods in the Physical Sciences 3ed Chapter 1 1.
Dowling Mechanical Boas Other Textbooks. Arfken and Hans J. I will refer to selected chapters from the other books for a more advanced treatment of certain topics. Fall Department of Mathematics at University of
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