"It is especially important to give meaning to the lessons, providing a broader base for the memory. Relate a skill to real life—money to earnings and allowance, averages to sports scores." — Kathryn Stout, B.S.Ed., M.Ed., Author
"Frank Schaffer's Algebra for Everyday is filled with a lot of handy, stimulating activities students can complete to learn some valuable algebra skills." — Introduction
"Algebra is not difficult. Algebra is just different." — John Saxon
"The text is designed to introduce some of the basic concepts and techniques of linear algebra and to make them accessible to freshmen and sophomores, many of whom are not mathematics majors." — Paul C. Shields, Author, 1967
"The challenge and responsibility of modern engineering practice demand a high level of creative activity which, in turn, requires the support of strong analytical capability. The subject of engineering mechanics, which includes statics and dynamics, constitutes one of the cornerstones of analytical capability, and all engineers should have a basic background in this field of study." — J. L. Meriam, Author
"The Volume Library, which is revised and updated annually, was designed for interested, well-informed people—students and adults who need an authoritative reference book for their home book-shelves, and parents who want to keep abreast of the subjects their children are studying in school."—Preface
Founded in 1958, CliffsNotes (originally Cliff's Notes) provides useful summaries for hundreds of items from classical literature to science and math. Although helpful in their subject matter, they are no substitute for reading the real book.
"This updated version includes an increased emphasis on study and test preparation skills, increased attention to geometric concepts, and real-life applications." — K. Elayn Martin-Gay, Author, in the Preface
"Our goal, quite simply, is to help today's students both learn and retain mathematical concepts. To achieve this goal, we feel that we must prepare developmental mathematics students for the transition from 'skills-oriented' elementary and intermediate algebra courses to more 'concept-oriented' college-level mathematics courses. This requires that we teach these same students critical thinking skills: to reason mathematically, to communicate mathematically, and to identify and solve mathematical problems." — The authors in the Preface (page xiii)
This book was written "to provide a solid foundation in algebra for students who might have had no previous experience in algebra." This is a college textbook, which may also be used by an advanced high school student.
Along with a companion website, this textbook makes a great guide for both teacher and student in the introduction of Algebra.
"The game industry is a powerful and driving force in the evolution of computer technology. As the capabilities of personal computers, peripheral hardware, and game consoles have grown, so has the demand for high quality information about the algorithms, tools, and descriptions needed to take advantage of this new technology. This book is part of the series that covers the state of the art in real-time 3D.
Mathematics and Its Applications: Division Algebras: Octonions, Quaternions, Complex Numbers and the Algebraic Design of Physics (Hardback)
"This is a book of ideas. Most of them arise out of my fascination with the division algebras and their tantalizing potential for a deep connection to physics....Inevitably many of these mathematical ideas will be shown to be intimately linked to the design of our physical world." — Geoffrey M. Dixon, Author
Princeton Landmarks in Mathematics and Physics: The Classical Groups: Their Invariants and Representations (Softcover)
Originally published in 1939, this second edition of Hermann Weyl's renowned volume on the classical groups in mathematics has been updated by Princeton University Press and is recommended for the shelves of advanced students, teaching faculty, and professional physicists and mathematicians.
"To accommodate different mathematical backgrounds, the authors avoid special terminology; outline some of the methods in a schematic, simplified manner; number the equations and formulas separately in each section; and arrange the equations in increasing order of complexity." — From the back cover
"Lie groups and lie algebras have become essential to many parts of mathematics and theoretical physics, with Lie algebras a central object of interest in their own right." — From the back cover
"This book would be suitable for a graduate course in Hamiltonian systems." — From the back cover
"This book traces the history of algebraic topology beginning with its creation by Henri Poincaré in 1900, and describing in detail the important ideas introduced in the theory before 1960." — From the back cover
This book is divided into two parts: the first is purely algebraic, while the second uses "analytic" methods (holomorphic functions).
"An hour of a programmer's time often costs more than the price of a book. By this measure, you hold a volume potentially worth thousands of dollars. That it can be purchased for a fraction of this cost I consider a modern miracle. The amount of information crammed into this book is incredible." — Eric Haines, co-author of Real-Time Rendering
"Matrix Groups for Undergraduates is concrete and example-driven, with geometric motivation and rigorous proofs. The story begins and ends with the rotation of a globe. In between, the author combines rigor and intuition to describe basic objects of Lie theory: Lie algebras, matrix exponentiation, Lie brackets, and maximal tori." — From the back cover
"This book is based on lectures given to advance undergraduates and is well-suited as a textbook for a second course in complex function theory. Professionals will also find it valuable as a straightforward introduction to a subject which is finding widespread application throughout mathematics." — From the back cover
"Uncommon Mathematical Excursions is for anyone who knows and appreciates the basics of algebra, geometry, and calculus, and would like to learn more." — From the back cover
"The book contains an amazing wealth of material relating to the algebra, geometry, and analysis of the nineteenth century.... Written with accurate historical perspective and clear exposition, this book is truly hard to put down." — Zentralblatt für Mathematik (review of the first edition, taken from the back cover)