Linear Algebra


Georgi E. Shilov - 1971
    Shilov, Professor of Mathematics at the Moscow State University, covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional algebras and their representations, with an appendix on categories of finite-dimensional spaces.The author begins with elementary material and goes easily into the advanced areas, covering all the standard topics of an advanced undergraduate or beginning graduate course. The material is presented in a consistently clear style. Problems are included, with a full section of hints and answers in the back.Keeping in mind the unity of algebra, geometry and analysis in his approach, and writing practically for the student who needs to learn techniques, Professor Shilov has produced one of the best expositions on the subject. Because it contains an abundance of problems and examples, the book will be useful for self-study as well as for the classroom.

Fields of Color: The theory that escaped Einstein


Rodney A. Brooks - 2010
    QFT is the only physics theory that makes sense and that dispels or resolves the paradoxes of relativity and quantum mechanics that have confused and mystified so many people.

A New Kind of Science


Stephen Wolfram - 1997
    Wolfram lets the world see his work in A New Kind of Science, a gorgeous, 1,280-page tome more than a decade in the making. With patience, insight, and self-confidence to spare, Wolfram outlines a fundamental new way of modeling complex systems. On the frontier of complexity science since he was a boy, Wolfram is a champion of cellular automata--256 "programs" governed by simple nonmathematical rules. He points out that even the most complex equations fail to accurately model biological systems, but the simplest cellular automata can produce results straight out of nature--tree branches, stream eddies, and leopard spots, for instance. The graphics in A New Kind of Science show striking resemblance to the patterns we see in nature every day. Wolfram wrote the book in a distinct style meant to make it easy to read, even for nontechies; a basic familiarity with logic is helpful but not essential. Readers will find themselves swept away by the elegant simplicity of Wolfram's ideas and the accidental artistry of the cellular automaton models. Whether or not Wolfram's revolution ultimately gives us the keys to the universe, his new science is absolutely awe-inspiring. --Therese Littleton

Code Breaking: A History and Exploration


Rudolf Kippenhahn - 1999
    In Code Breaking , Rudolf Kippenhahn offers readers both an exciting chronicle of cryptography and a lively exploration of the cryptographer’s craft. Rich with vivid anecdotes from a history of coding and decoding and featuring three new chapters, this revised and expanded edition makes the often abstruse art of deciphering coded messages accessible to the general reader and reveals the relevance of codes to our everyday high-tech society. A stylishly written, meticulously researched adventure, Code Breaking explores the ways in which communication can be obscured and, like magic, made clear again.

The American Sign Language Alphabet: Letters A-Z, Numbers 0-9 (FingerAlphabet BASIC Reference Guide Book Series 12)


Lassal - 2015
    It is designed for libraries, institutions and individuals who need or prefer the information in ebook format. All the hand signs were approved by American sign language experts. The signs are shown in large illustrations from two view points in order to facilitate understanding, as well as grouped together in a comprehensive chart. BONUS: The book contains a link to a set of unique printable ASL alphabet charts for your personal use.Lassal's work for Fingeralphabet.org has earned her a nomination for The German Prize for Civic Engagement 2013.

Mind Tools: The Five Levels of Mathematical Reality


Rudy Rucker - 1987
    Reveals mathematics' great power as an alternative language for understanding things and explores such concepts as logic as a computing tool, digital versus analog processes and communication as information transmission.

Mathematics: From the Birth of Numbers


Jan Gullberg - 1997
    The book is unique among popular books on mathematics in combining an engaging, easy-to-read history of the subject with a comprehensive mathematical survey text. Intended, in the author's words, "for the benefit of those who never studied the subject, those who think they have forgotten what they once learned, or those with a sincere desire for more knowledge," it links mathematics to the humanities, linguistics, the natural sciences, and technology.Contains more than 1000 original technical illustrations, a multitude of reproductions from mathematical classics and other relevant works, and a generous sprinkling of humorous asides, ranging from limericks and tall stories to cartoons and decorative drawings.

Discovering the Universe [with CD-ROM]


Neil F. Comins - 1984
    The accompanying CD-ROM features a special student version of the award-winning virtual planetarium software Starry Night plus software animations and videos, all illustrations from the text, interactive Q&A and exercises, and supplementary resources. Material can be updated periodically from the Freeman Web site. www.whfreeman.com/astronomy. There is an online study guide offering a CD-Web guide, chapter objectives, key terms, review questions, Starry Night observations exercises and online tutorials.

Amusements in Mathematics


Henry Ernest Dudeney - 1917
    Intriguing, witty, paradoxical productions of one of the world's foremost creators of puzzles.This book was converted from its physical edition to the digital format by a community of volunteers. You may find it for free on the web. Purchase of the Kindle edition includes wireless delivery.