*Mathematics

Not intended to serve as stand alone Calculus textbooks, this three volume set was created to serve the middle ground between a formal text and a solution guide.
Volumes 1-3 are organized to cover material from a traditional three semester calculus sequence.
The rock band Rush is listed in the acknowledgements for this series. So, by definition, these books must be amazing...

With an emphasis on theory and connections with linear algebra and analysis, the book shows all the rigor of numerical analysis. Its high level and exhaustive coverage will prepare students for research in the field and become a valuable reference as they continue their career. Students will appreciate the simple notation, clear assumptions and arguments, as well as the many examples and classroom-tested exercises ranging from simple verification to qualifying exam-level problems. -From the publisher

The Princeton Companion to Mathematics, Edited by Fields Medal recipient Timothy Gowers, surveys the most active and exciting branches of pure mathematics, providing the context and broad perspective that are vital at a time of increasing specialization in the field. This is an indispensable resource for undergraduate and graduate students in mathematics as well as for researchers and scholars seeking to understand areas outside their specialties.

The eighth edition of the classic Gradshteyn and Ryzhik is an updated completely revised edition of what is acknowledged universally by mathematical and applied science users as the key reference work concerning the integrals and special functions. This edition contains over 10, 000 mathematical entries including the most up to date listing of integrals, series and products (special functions).

The updated Handbook is an essential reference for researchers and students in applied mathematics, engineering, and physics. It provides quick access to important formulas, relations, and methods from algebra, trigonometric and exponential functions, combinatorics, probability, matrix theory, calculus and vector calculus, ordinary and partial differential equations, Fourier series, orthogonal polynomials, and Laplace transforms.

More than 2,400 formulas and tables covering elementary to advanced math topics.