A Concise Handbook of Mathematics, Physics, and Engineering Sciences takes a practical approach to the basic notions, formulas, equations, problems, theorems, methods, and laws that most frequently occur in scientific and engineering applications and university education. The authors pay special attention to issues that many engineers and students find difficult to understand.
The first part of the book contains chapters on arithmetic, elementary and analytic geometry, algebra, differential and integral calculus, functions of complex variables, integral transforms, ordinary and partial differential equations, special functions, and probability theory. The second part discusses molecular physics and thermodynamics, electricity and magnetism, oscillations and waves, optics, special relativity, quantum mechanics, atomic and nuclear physics, and elementary particles. The third part covers dimensional analysis and similarity, mechanics of point masses and rigid bodies, strength of materials, hydrodynamics, mass and heat transfer, electrical engineering, and methods for constructing empirical and engineering formulas.
The main text offers a concise, coherent survey of the most important definitions, formulas, equations, methods, theorems, and laws. Numerous examples throughout and references at the end of each chapter provide readers with a better understanding of the topics and methods. Additional issues of interest can be found in the remarks. For ease of reading, the supplement at the back of the book provides several long mathematical tables, including indefinite and definite integrals, direct and inverse integral transforms, and exact solutions of differential equations.
Preface
Editors
Part I : Mathematics
Chapter 1 : Arithmetic and Elementary Algebra
Chapter 2 : Elementary Functions
Chapter 3 : Elementary Geometry
Chapter 4 : Analytic Geometry
Chapter 5 : Algebra
Chapter 6 : Limits and Derivatives
Chapter 7 : Integrals
Chapter 8 : Series
Chapter 9 : Functions of Complex Variables
Chapter 10 : Integral Transforms
Chapter 11 : Ordinary Differential Equations
Chapter 12 : Partial Differential Equations
Chapter 13 : Special Functions and Their Properties
Chapter 14 : Probability Theory
Part II : Physics
Chapter 15 : Physical Foundations of Mechanics
Chapter 16 : Molecular Physics and Thermodynamics
Chapter 17 : Electrodynamics
Chapter 18 : Oscillations and Waves
Chapter 19 : Optics
Chapter 20 : Quantum Mechanics. Atomic Physics
Chapter 21 : Quantum Theory of Crystals
Chapter 22 : Elements of Nuclear Physics
Part III : Elements of Applied and Engineering Sciences
Chapter 23 : Dimensions and Similarity
Chapter 24 : Mechanics of Point Particles and Rigid Bodies
Chapter 25 : Elements of Strength of Materials
Chapter 26 : Hydrodynamics
Chapter 27 : Mass and Heat Transfer
Chapter 28 : Electrical Engineering
Chapter 29 : Empirical and Engineering Formulas and Criteria for Their Applicability
Part IV : Supplements
Chapter 30 : Integrals
Chapter 31 : Integral Transforms
Chapter 32 : Orthogonal Curvilinear Systems of Coordinates
Chapter 33 : Ordinary Differential Equations
Chapter 34 : Some Useful Electronic Mathematical Resources
Chapter 35 : Physical Tables
Chapter 36 : Periodic Table
Index
