راهنمای فیزیکدان به Mathematica، ویرایش دوم

For the engineering and scientific professional, __A Physicist's Guide to Mathematica, 2e__ provides an updated reference guide based on the 2007 new 6.0 release, providing an organized and integrated desk reference with step-by-step instructions for the most commonly used features of the software as it applies to research in physics.For professors teaching physics and other science courses using the Mathematica software, __A Physicist's Guide to Mathematica, 2e__ is the only fully compatible (new software release) Mathematica text that engages students by providing complete topic coverage, new applications, exercises and examples that enable the user to solve a wide range of physics problems. . Does not require prior knowledge of Mathematica or computer programming. Can be used as either a primary or supplemental text for upper-division physics majors and an Instructor's Solutions Manual is available . Provides over 450 end-of-section exercises and end-of-chapter problems. Serves as a reference suitable for chemists, physical scientists, and engineers. Compatible with Mathematica Version 6, a recent major release. Compact disk contains all of the Mathematica input and output in this book A Physicist’s Guide to Mathematica Copyright Page Contents Preface to the Second Edition Preface to the First Edition Part I: Mathematica with Physics Chapter 1. The First Encounter 1.1 The First Ten Minutes 1.2 A Touch of Physics 1.2.1 Numerical Calculations 1.2.2 Symbolic Calculations 1.2.3 Graphics 1.3 Online Help 1.4 Warning Messages 1.5 Packages 1.6 Notebook Interfaces 1.6.1 Notebooks 1.6.2 Entering Greek Letters 1.6.3 Getting Help 1.6.4 Preparing Input 1.6.5 Starting and Aborting Calculations 1.7 Problems Chapter 2. Interactive Use of Mathematica 2.1 Numerical Capabilities 2.1.1 Arithmetic Operations 2.1.2 Spaces and Parentheses 2.1.3 Common Mathematical Constants 2.1.4 Some Mathematical Functions 2.1.5 Cases and Brackets 2.1.6 Ways to Refer to Previous Results 2.1.7 Standard Computations 2.1.8 Exact versus Approximate Values 2.1.9 Machine Precision versus Arbitrary Precision 2.1.10 Special Functions 2.1.11 Matrices 2.1.12 Double Square Brackets 2.1.13 Linear Least-Squares Fit 2.1.14 Complex Numbers 2.1.15 Random Numbers 2.1.16 Numerical Solution of Polynomial Equations 2.1.17 Numerical Integration 2.1.18 Numerical Solution of Differential Equations 2.1.19 Iterators 2.1.20 Exercises 2.2 Symbolic Capabilities 2.2.1 Transforming Algebraic Expressions 2.2.2 Transforming Trigonometric Expressions 2.2.3 Transforming Expressions Involving Special Functions 2.2.4 Using Assumptions 2.2.5 Obtaining Parts of Algebraic Expressions 2.2.6 Units, Conversion of Units, and Physical Constants 2.2.7 Assignments and Transformation Rules 2.2.8 Equation Solving 2.2.9 Differentiation 2.2.10 Integration 2.2.11 Sums 2.2.12 Power Series 2.2.13 Limits 2.2.14 Solving Differential Equations 2.2.15 Immediate versus Delayed Assignments and Transformation Rules 2.2.16 Defining Functions 2.2.17 Relational and Logical Operators 2.2.18 Fourier Transforms 2.2.19 Evaluating Subexpressions 2.2.20 Exercises 2.3 Graphical Capabilities 2.3.1 Two-Dimensional Graphics 2.3.2 Three-Dimensional Graphics 2.3.3 Interactive Manipulation of Graphics 2.3.4 Animation 2.3.5 Exercise 2.4 Lists 2.4.1 Defining Lists 2.4.2 Generating and Displaying Lists 2.4.3 Counting List Elements 2.4.4 Obtaining List and Sublist Elements 2.4.5 Changing List and Sublist Elements 2.4.6 Rearranging Lists 2.4.7 Restructuring Lists 2.4.8 Combining Lists 2.4.9 Operating on Lists 2.4.10 Using Lists in Computations 2.4.11 Analyzing Data 2.4.12 Exercises 2.5 Special Characters, Two-Dimensional Forms, and Format Types 2.5.1 Special Characters 2.5.2 Two-Dimensional Forms 2.5.3 Input and Output Forms 2.5.4 Exercises 2.6 Problems Chapter 3. Programming in Mathematica 3.1 Expressions 3.1.1 Atoms 3.1.2 Internal Representation 3.1.3 Manipulation 3.1.4 Exercises 3.2 Patterns 3.2.1 Blanks 3.2.2 Naming Patterns 3.2.3 Restricting Patterns 3.2.4 Structural Equivalence 3.2.5 Attributes 3.2.6 Defaults 3.2.7 Alternative or Repeated Patterns 3.2.8 Multiple Blanks 3.2.9 Exercises 3.3 Functions 3.3.1 Pure Functions 3.3.2 Selecting a Definition 3.3.3 Recursive Functions and Dynamic Programming 3.3.4 Functional Iterations 3.3.5 Protection 3.3.6 Upvalues and Downvalues 3.3.7 Exercises 3.4 Procedures 3.4.1 Local Symbols 3.4.2 Conditionals 3.4.3 Loops 3.4.4 Named Optional Arguments 3.4.5 An Example: Motion of a Particle in One Dimension 3.4.6 Exercises 3.5 Graphics 3.5.1 Graphics Objects 3.5.2 Two-Dimensional Graphics 3.5.3 Three-Dimensional Graphics 3.5.4 Exercises 3.6 Programming Styles 3.6.1 Procedural Programming 3.6.2 Functional Programming 3.6.3 Rule-Based Programming 3.6.4 Exercises 3.7 Packages 3.7.1 Contexts 3.7.2 Context Manipulation 3.7.3 A Sample Package 3.7.4 Template for Packages 3.7.5 Exercises Part II: Physics with Mathematica Chapter 4. Mechanics 4.1 Falling Bodies 4.1.1 The Problem 4.1.2 Physics of the Problem 4.1.3 Solution with Mathematica 4.2 Projectile Motion 4.2.1 The Problem 4.2.2 Physics of the Problem 4.2.3 Solution with Mathematica 4.3 The Pendulum 4.3.1 The Problem 4.3.2 Physics of the Problem 4.3.3 Solution with Mathematica 4.4 The Spherical Pendulum 4.4.1 The Problem 4.4.2 Physics of the Problem 4.4.3 Solution with Mathematica 4.5 Problems Chapter 5. Electricity and Magnetism 5.1 Electric Field Lines and Equipotentials 5.1.1 The Problem 5.1.2 Physics of the Problem 5.1.3 Solution with Mathematica 5.2 Laplace’s Equation 5.2.1 The Problem 5.2.2 Physics of the Problem 5.2.3 Solution with Mathematica 5.3 Charged Particle in Crossed Electric and Magnetic Fields 5.3.1 The Problem 5.3.2 Physics of the Problem 5.3.3 Solution with Mathematica 5.4 Problems Chapter 6. Quantum Physics 6.1 Blackbody Radiation 6.1.1 The Problem 6.1.2 Physics of the Problem 6.1.3 Solution with Mathematica 6.2 Wave Packets 6.2.1 The Problem 6.2.2 Physics of the Problem 6.2.3 Solution with Mathematica 6.3 Particle in a One-Dimensional Box 6.3.1 The Problem 6.3.2 Physics of the Problem 6.3.3 Solution with Mathematica 6.4 The Square Well Potential 6.4.1 The Problem 6.4.2 Physics of the Problem 6.4.3 Solution with Mathematica 6.5 Angular Momentum 6.5.1 The Problem 6.5.2 Physics of the Problem 6.5.3 Solution with Mathematica 6.6 The Kronig–Penney Model 6.6.1 The Problem 6.6.2 Physics of the Problem 6.6.3 Solution with Mathematica 6.7 Problems Appendices A The Last Ten Minutes B Operator Input Forms C Solutions to Exercises D Solutions to Problems References Index For the engineering and scientific professional, A Physicist’s Guide to Mathematica, 2e provides an updated reference guide based on the 2007 new 6.0 release, providing an organized and integrated desk reference with step-by-step instructions for the most commonly used features of the software as it applies to research in physics.

For professors teaching physics and other science courses using the Mathematica software, A Physicist’s Guide to Mathematica, 2e is the only fully compatible (new software release) Mathematica text that engages students by providing complete topic coverage, new applications, exercises and examples that enable the user to solve a wide range of physics problems.

• Does not require prior knowledge of Mathematica or computer programming
• Can be used as either a primary or supplemental text for upper-division physics majors and an Instructor’s Solutions Manual is available
• Provides over 450 end-of-section exercises and end-of-chapter problems
• Serves as a reference suitable for chemists, physical scientists, and engineers
• Compatible with Mathematica Version 6, a recent major release
• Compact disk contains all of the Mathematica input and output in this book For the engineering and scientific professional, A Physicist's Guide to Mathematica, Second Edition provides an updated reference guide based on the 2007 new 6.0 release, providing an organized and integrated desk reference with step-by-step instructions for the most commonly used features of the software as it applies to research in physics. For professors teaching physics and other science courses using the Mathematica software, A Physicist's Guide to Mathematica, Second Edition is the only fully compatible (new software release) Mathematica text that engages students by providing complete topic coverage, new applications, exercises and examples that enable the user to solve a wide range of physics problems. Does not require prior knowledge of Mathematica or computer programming Can be used as either a primary or supplemental text for upper-division physics majors Provides over 450 end-of-section exercises and end-of-chapter problems Serves as a reference suitable for chemists, physical scientists, and engineers Compatible with Mathematica Version 6, a recent major release "For the engineering and scientific professional, A Physicist's Guide to Mathematica, 2/e provides an updated reference guide based on the 2007 new 6.0 release, providing an organized and integrated desk reference with step by step instructions for the most often used features of the software as it applies to research in physics. For Professors teaching physics and other science courses using the Mathematica software, A Physicist's Guide to Mathematica, 2/e is the only fully compatible (new software release) Mathematica text that engages students by providing complete topic coverage, new applications, exercises and examples that enable the user to solve a wide range of physics problems"--Resource description page Mathematica enables the user to solve a wide range of physics problems and provides an environment that allows the user to develop a greater intuitive understanding of physics. This book will aid the reader in using Mathematica for numerical, symbolic, and graphical calculations, and also will demonstrate the program's capability to animate two- and three-dimensional graphics. Tam's treatment of the subject is greatly detailed, and makes A Physicist's Guide to Mathematica an essential reference for anyone needing an introduction to Mathematica's applications to physics. "For the engineering and scientific professional, A Physicist's Guide to Mathematica, Second Edition, provides an updated reference guide based on the new 6.0 release of Mathematica. This integrated desk reference with step-by-step instructions for the most commonly used features of the software as it applies to research in physics does not require prior knowledge of Mathematica or computer programming."--BOOK JACKET