Gödel, Escher, Bach: An Eternal Golden Braid


Douglas R. Hofstadter - 1979
    However, according to Hofstadter, the formal system that underlies all mental activity transcends the system that supports it. If life can grow out of the formal chemical substrate of the cell, if consciousness can emerge out of a formal system of firing neurons, then so too will computers attain human intelligence. Gödel, Escher, Bach is a wonderful exploration of fascinating ideas at the heart of cognitive science: meaning, reduction, recursion, and much more.

The Unreasonable Effectiveness of Mathematics in the Natural Sciences


Eugene Paul Wigner - 1959
    In the paper, Wigner observed that the mathematical structure of a physical theory often points the way to further advances in that theory and even to empirical predictions.

Signals and Systems


Alan V. Oppenheim - 1982
    KEY TOPICS: The major changes of the revision are reorganization of chapter material and the addition of a much wider range of difficulties.

Cybernetics: or the Control and Communication in the Animal and the Machine


Norbert Wiener - 1948
    It is a ‘ must’ book for those in every branch of science . . . in addition, economists, politicians, statesmen, and businessmen cannot afford to overlook cybernetics and its tremendous, even terrifying implications. "It is a beautifully written book, lucid, direct, and despite its complexity, as readable by the layman as the trained scientist." -- John B. Thurston, "The Saturday Review of Literature" Acclaimed one of the "seminal books . . . comparable in ultimate importance to . . . Galileo or Malthus or Rousseau or Mill," "Cybernetics" was judged by twenty-seven historians, economists, educators, and philosophers to be one of those books published during the "past four decades", which may have a substantial impact on public thought and action in the years ahead." -- Saturday Review

The Economist - US Edition


The Economist - 2011
    Download issues at no extra cost from Archived Items. The Economist is the premier source for the analysis of world business and current affairs, providing authoritative insight and opinion on international news, world politics, business, finance, science and technology, as well as overviews of cultural trends and regular Special reports on industries and countries. Established in 1843 to campaign against the protectionist corn laws, The Economist remains, in the second half of its second century, true to the liberal principles of its founder. James Wilson, a hat maker from the small Scottish town of Hawick, believed in free trade, internationalism and minimum interference by government, especially in the affairs of the market. The Economist also takes a fiercely independent stance on social issues, from gay marriage to the legalisation of drugs, but its main service to its readers is as a global newspaper: To uncover new ideas from all around the world. The Kindle Edition of The Economist contains all of the articles and graphics found in the print edition, but will not include all photos. For your convenience, issues are auto-delivered wirelessly to your Kindle each Friday at the same time the print edition hits the newsstand.

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

General Relativity


Robert M. Wald - 1984
    The book includes full discussions of many problems of current interest which are not treated in any extant book, and all these matters are considered with perception and understanding."—S. Chandrasekhar "A tour de force: lucid, straightforward, mathematically rigorous, exacting in the analysis of the theory in its physical aspect."—L. P. Hughston, Times Higher Education Supplement"Truly excellent. . . . A sophisticated text of manageable size that will probably be read by every student of relativity, astrophysics, and field theory for years to come."—James W. York, Physics Today

Solid State Physics


Neil W. Ashcroft - 1976
    This book provides an introduction to the field of solid state physics for undergraduate students in physics, chemistry, engineering, and materials science.

Course of Theoretical Physics: Vol. 1, Mechanics


L.D. Landau - 1969
    The exposition is simple and leads to the most complete direct means of solving problems in mechanics. The final sections on adiabatic invariants have been revised and augmented. In addition a short biography of L D Landau has been inserted.

An Introduction to Systems Biology: Design Principles of Biological Circuits


Uri Alon - 2006
    It provides a simple mathematical framework which can be used to understand and even design biological circuits. The textavoids specialist terms, focusing instead on several well-studied biological systems that concisely demonstrate key principles. An Introduction to Systems Biology: Design Principles of Biological Circuits builds a solid foundation for the intuitive understanding of general principles. It encourages the reader to ask why a system is designed in a particular way and then proceeds to answer with simplified models.

Symmetry


Hermann Weyl - 1952
    Hermann Weyl explores the concept of symmetry beginning with the idea that it represents a harmony of proportions, and gradually departs to examine its more abstract varieties and manifestations--as bilateral, translatory, rotational, ornamental, and crystallographic. Weyl investigates the general abstract mathematical idea underlying all these special forms, using a wealth of illustrations as support. Symmetry is a work of seminal relevance that explores the great variety of applications and importance of symmetry.

The Big Questions: Tackling the Problems of Philosophy with Ideas from Mathematics, Economics and Physics


Steven E. Landsburg - 2009
    Stimulating, illuminating, and always surprising, The Big Questions challenges readers to re-evaluate their most fundamental beliefs and reveals the relationship between the loftiest philosophical quests and our everyday lives.

Calculus


Ron Larson - 1999
    It has been widely praised by a generation of users for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning.

Introduction to Quantum Mechanics


David J. Griffiths - 1994
    The book s two-part coverage organizes topics under basic theory, and assembles an arsenal of approximation schemes with illustrative applications. For physicists and engineers. "

Things to Make and Do in the Fourth Dimension


Matt Parker - 2014
    This book can be cut, drawn in, folded into shapes and will even take you to the fourth dimension. So join stand-up mathematician Matt Parker on a journey through narcissistic numbers, optimal dating algorithms, at least two different kinds of infinity and more.