Book picks similar to
From a Geometrical Point of View: A Study of the History and Philosophy of Category Theory by Jean-Pierre Marquis
mathematics
category-theory
philosophy
math
History of Language
Steven Roger Fischer - 1999
What is required, in fact, is a radical reinterpretation of what language is. Steven Roger Fischer begins his book with an examination of the modes of communication used by dolphins, birds and primates as the first contexts in which the concept of "language" might be applied. As he charts the history of language from the times of Homo erectus, Neanderthal humans and Homo sapiens through to the nineteenth century, when the science of linguistics was developed, Fischer analyses the emergence of language as a science and its development as a written form. He considers the rise of pidgin, creole, jargon and slang, as well as the effects radio and television, propaganda, advertising and the media are having on language today. Looking to the future, he shows how electronic media will continue to reshape and re-invent the ways in which we communicate."[a] delightful and unexpectedly accessible book ... a virtuoso tour of the linguistic world."—The Economist"... few who read this remarkable study will regard language in quite the same way again."—The Good Book Guide
Advanced Engineering Mathematics
Dennis G. Zill - 1992
A Key Strength Of This Text Is Zill'S Emphasis On Differential Equations As Mathematical Models, Discussing The Constructs And Pitfalls Of Each. The Third Edition Is Comprehensive, Yet Flexible, To Meet The Unique Needs Of Various Course Offerings Ranging From Ordinary Differential Equations To Vector Calculus. Numerous New Projects Contributed By Esteemed Mathematicians Have Been Added. Key Features O The Entire Text Has Been Modernized To Prepare Engineers And Scientists With The Mathematical Skills Required To Meet Current Technological Challenges. O The New Larger Trim Size And 2-Color Design Make The Text A Pleasure To Read And Learn From. O Numerous NEW Engineering And Science Projects Contributed By Top Mathematicians Have Been Added, And Are Tied To Key Mathematical Topics In The Text. O Divided Into Five Major Parts, The Text'S Flexibility Allows Instructors To Customize The Text To Fit Their Needs. The First Eight Chapters Are Ideal For A Complete Short Course In Ordinary Differential Equations. O The Gram-Schmidt Orthogonalization Process Has Been Added In Chapter 7 And Is Used In Subsequent Chapters. O All Figures Now Have Explanatory Captions. Supplements O Complete Instructor'S Solutions: Includes All Solutions To The Exercises Found In The Text. Powerpoint Lecture Slides And Additional Instructor'S Resources Are Available Online. O Student Solutions To Accompany Advanced Engineering Mathematics, Third Edition: This Student Supplement Contains The Answers To Every Third Problem In The Textbook, Allowing Students To Assess Their Progress And Review Key Ideas And Concepts Discussed Throughout The Text. ISBN: 0-7637-4095-0
I Think, Therefore I Am: All the Philosophy You Need to Know
Lesley Levene - 2010
But is philosophy really so complicated? And is it really as irrelevant as it sometimes seems? "I Think, Therefore I Am" is the ideal way to take the fear out of philosophy. Written in an accessible and highly entertaining style, it explains how and why philosophy began, and how, from Greek democracy to Communism, the ways in which we live, learn, argue, vote and even spend our money have their origins in philosophical thought.Philosophers certainly like to make life sound awfully complicated. But is philosophy really so complicated? And is it really as irrelevant as it sometimes seems? "I Think, Therefore I Am" is the ideal way to take the fear out of philosophy. Written in an accessible and highly entertaining style, it explains how and why philosophy began, and how, from Greek democracy to Communism, the ways in which we live, learn, argue, vote and even spend our money have their origins in philosophical thought.
Jung: The Key Ideas
Ruth Snowden - 2010
Explaining Jung's complex ideas in simple terms, and backing it up with references to his own texts, you will learn all the essential concepts, from the collective unconscious to archetypes in dreams. You will learn about Jung's upbringing and the development of his thinking. Discover his early work and influences and how they came to shape his ideological and spiritual development. The intricacies of Jung's complex systems of thought are discussed in a straightforward and jargon-free way with particular focus on his lifelong fascination with the spiritual, the numinous, the inner world and the self-realization of the unconscious. Jung's exploration of mythology, dreams, visions and fantasies, as well as his studies into the journey of the psyche, are all explained, making often complex theories easy to get to grips with and the book also looks at his legacy and how his work and ideas have shaped psychology with many therapists still trained in the Jungian method.
Mathematical Analysis
Tom M. Apostol - 1957
It provides a transition from elementary calculus to advanced courses in real and complex function theory and introduces the reader to some of the abstract thinking that pervades modern analysis.
The Psychology of Invention in the Mathematical Field
Jacques Hadamard - 1945
Role of the unconscious in invention; the medium of ideas — do they come to mind in words? in pictures? in mathematical terms? Much more. "It is essential for the mathematician, and the layman will find it good reading." — Library Journal.
Calculus: The Classic Edition
Earl W. Swokowski - 1991
Groundbreaking in every way when first published, this book is a simple, straightforward, direct calculus text. It's popularity is directly due to its broad use of applications, the easy-to-understand writing style, and the wealth of examples and exercises which reinforce conceptualization of the subject matter. The author wrote this text with three objectives in mind. The first was to make the book more student-oriented by expanding discussions and providing more examples and figures to help clarify concepts. To further aid students, guidelines for solving problems were added in many sections of the text. The second objective was to stress the usefulness of calculus by means of modern applications of derivatives and integrals. The third objective, to make the text as accurate and error-free as possible, was accomplished by a careful examination of the exposition, combined with a thorough checking of each example and exercise.
Elementary Analysis: The Theory of Calculus
Kenneth A. Ross - 1980
It is highly recommended for anyone planning to study advanced analysis, e.g., complex variables, differential equations, Fourier analysis, numerical analysis, several variable calculus, and statistics. It is also recommended for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied. Many abstract ideas, such as metric spaces and ordered systems, are avoided. The least upper bound property is taken as an axiom and the order properties of the real line are exploited throughout. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics. Optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.
Math Through the Ages: A Gentle History for Teachers and Others
William P. Berlinghoff - 2002
Each sketch contains Questions and Projects to help you learn more about its topic and to see how its main ideas fit into the bigger picture of history. The 25 short stories are preceded by a 56-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. Reading suggestions after each sketch provide starting points for readers who want to pursue a topic further."