A perennial bestseller, the 30th edition of CRC Standard Mathematical Tables and Formulae was the first "modern" edition of the handbook - adapted to be useful in the era of personal computers and powerful handheld devices. Now this version will quickly establish itself as the "user-friendly" edition. With a detailed table of contents and an extensive index listing over 6,000 entries, the 31st edition of this hugely successful handbook makes information even easier to locate.
New in the 31st
Game theory and voting power Heuristic search techniques Quadratic fields Reliability Risk analysis and decision rules A table of solutions to Pell's equation A table of irreducible polynomials in Z2[x] An interpretation of powers of 10 A collection of "proofs without words" Representations of groups of small order Counting principles Tesselations and tilings …and much more!
An indispensable, up-to-date resource, CRC Standard Mathematical Tables and Formulae, 31st Edition makes it effortless to find the equations, tables, and formulae you need most often.
They're all here! All the tables! All the basic equations and integrals and formulas and functions and numbers and tricks of math!
Highly applicable to most fields of physics and engineering, and without anything too specialized or esoteric.
For your benefit and so that I can waste some time, I'll list most of the contents of the book:
Analysis (Constants, special numbers, series and products, Fourier series, complex analysis, interval analysis, real analysis, generalized functions)
Algebra (Proofs, elementary algebra, polynomials, number theory, vector algebra, linear and matrix algebra, abstract algebra)
Discrete Mathematics (Symbolic logic, set theory, combinatorics, graphs, game theory, difference equations, etc...)
Geometry (Coordinate systems in the plane, plane symmetries or isometries, other transformations of the plane, lines, polygons, conics, special plane curves, coordinate systems in space, space symmetries or isometries, other transformations of space, etc...)
Continuous Mathematics (Differential calculus, differential forms, integration, table of integrals, ODEs, PDEs, eigenvalues, integral equations, tensor analysis, control theory, etc...)
Special Functions (Trig functions, circular functions, plaanar triangles, exponential and logarithmic and hyperbolic functions, Gudermannian function, Beta and Gamma functions, error functions, Fresnel integrals, way too many to keep listing...)
Probability and Statistics (Probability theory, classical probability problems, probability distributions, queuing theory, Markov chains, random number generation, statistics, linear regression, signal processing, etc...)
Scientific Computing (Numerical analysis, numerical linear algebra, numerical integration and differentiaton, programming techniques)
Financial Analysis (Financial formulae and tables)
Miscellaneous stuff...
Very useful book for physics PhD qualifying exams, both preparation and reference, and just as a general reference later on through your illustrious career in science.
There's not too much to say about the content of this book that you can't guess from the title. It's a collection of mathematical tables, theorems, definitions and formulas. If you're an engineer or scientist, whatever you're looking for -- integral tables, trig identities, power series, statistics tables, etc -- is bound to be here. There are also pages and pages of obscure things that you never knew existed, and which can be fun to browse. You wouldn't want to learn anything for the first time from this book, but it can surely help remind you of any math details that you have learned but forgotten.
The typesetting in this book is distractingly inconsistent. Font size and especially line spacing vary randomly from one section or table to the next. I'm no typography geek, but it is a bit annoying in this book. Rather than the ultra-compact format used in many reference texts that try to pack data into the smallest space possible, the layout in this book is generally much more open and fluffy: almost as if the editors are expecting to be judged on the page count rather than the content.
The professor with whom I did my undergraduate physics research with gave me this book when I graduated. At first, I felt guilty. I had Mathematica, Matlab, and links to online references on my desktop, and thought it would surely gather dust.
I was very wrong.
The book is organized perfectly for those in the physical sciences. I'm not a math major; I don't have all this "math" business on tap. My CRC usually has the solutions to my problems when I've hit an impasse.
I did knock it down one star, though. When publishing something like this you have two options: "unwieldy but readable" or "portable dead sea scrolls." This publisher choose the latter. I will be in bifocals at the age of 40.
I'd much rather a giant slab of a tomb that requires two men to carry. That's literally what undergraduate students are FOR, Chapman and Hall. Seriously.