Mathematics Form and Function

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Publisher : Springer Science & Business Media
ISBN 13 : 1461248728
Total Pages : 486 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Mathematics Form and Function by : Saunders MacLane

Download or read book Mathematics Form and Function written by Saunders MacLane and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book records my efforts over the past four years to capture in words a description of the form and function of Mathematics, as a background for the Philosophy of Mathematics. My efforts have been encouraged by lec tures that I have given at Heidelberg under the auspices of the Alexander von Humboldt Stiftung, at the University of Chicago, and at the University of Minnesota, the latter under the auspices of the Institute for Mathematics and Its Applications. Jean Benabou has carefully read the entire manuscript and has offered incisive comments. George Glauberman, Car los Kenig, Christopher Mulvey, R. Narasimhan, and Dieter Puppe have provided similar comments on chosen chapters. Fred Linton has pointed out places requiring a more exact choice of wording. Many conversations with George Mackey have given me important insights on the nature of Mathematics. I have had similar help from Alfred Aeppli, John Gray, Jay Goldman, Peter Johnstone, Bill Lawvere, and Roger Lyndon. Over the years, I have profited from discussions of general issues with my colleagues Felix Browder and Melvin Rothenberg. Ideas from Tammo Tom Dieck, Albrecht Dold, Richard Lashof, and Ib Madsen have assisted in my study of geometry. Jerry Bona and B.L. Foster have helped with my examina tion of mechanics. My observations about logic have been subject to con structive scrutiny by Gert Miiller, Marian Boykan Pour-El, Ted Slaman, R. Voreadou, Volker Weispfennig, and Hugh Woodin.

Elements of Advanced Mathematics, Third Edition

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Publisher : CRC Press
ISBN 13 : 1439898340
Total Pages : 368 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Elements of Advanced Mathematics, Third Edition by : Steven G. Krantz

Download or read book Elements of Advanced Mathematics, Third Edition written by Steven G. Krantz and published by CRC Press. This book was released on 2012-03-19 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: For many years, this classroom-tested, best-selling text has guided mathematics students to more advanced studies in topology, abstract algebra, and real analysis. Elements of Advanced Mathematics, Third Edition retains the content and character of previous editions while making the material more up-to-date and significant. This third edition adds four new chapters on point-set topology, theoretical computer science, the P/NP problem, and zero-knowledge proofs and RSA encryption. The topology chapter builds on the existing real analysis material. The computer science chapters connect basic set theory and logic with current hot topics in the technology sector. Presenting ideas at the cutting edge of modern cryptography and security analysis, the cryptography chapter shows students how mathematics is used in the real world and gives them the impetus for further exploration. This edition also includes more exercises sets in each chapter, expanded treatment of proofs, and new proof techniques. Continuing to bridge computationally oriented mathematics with more theoretically based mathematics, this text provides a path for students to understand the rigor, axiomatics, set theory, and proofs of mathematics. It gives them the background, tools, and skills needed in more advanced courses.

First Book in General Mathematics

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Publisher :
ISBN 13 :
Total Pages : 284 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis First Book in General Mathematics by :

Download or read book First Book in General Mathematics written by and published by . This book was released on 1917 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:

First Book in General Mathematics (Classic Reprint)

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Author :
Publisher : Forgotten Books
ISBN 13 : 9780282832469
Total Pages : 274 pages
Book Rating : 4.8/5 (324 download)

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Book Synopsis First Book in General Mathematics (Classic Reprint) by : Robert King Atwell

Download or read book First Book in General Mathematics (Classic Reprint) written by Robert King Atwell and published by Forgotten Books. This book was released on 2017-07-07 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from First Book in General Mathematics The pedagogical remedy for such a state of affairs may be summed up in the words practical use or relation to life. Interest can be aroused and maintained only when there is a tangible relation between the subject matter studied and the out-of-school life of the student. This idea is not new, but has been applied in various forms at different times. In the Colebrook School, for example, in the northern part of New Hampshire, where the school is being made over to fit the needs of the community, the course in geometry has been substituted by a course in practical mathematics which includes: a - the algebra of the equation; b - the application of geometry to practical measurements; c - the elementary principles of surveying. Professor Parker, in his book on High School Methods, has the following to say regarding high-school mathematics: The order of topics in a subject Should be decided by the needs, capacities and interests of high-school students, not by the nature of the subject itself, nor the interests of a specialist in the subject. In high-school mathematics this standard will require the inclusion of many practical prob lems and the mixing of the easier topics of algebra and geometry, and some arithmetic, in the first year. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Mathematics, Its Content, Methods, and Meaning

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Publisher :
ISBN 13 :
Total Pages : 406 pages
Book Rating : 4.3/5 (97 download)

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Book Synopsis Mathematics, Its Content, Methods, and Meaning by : Matematicheskiĭ institut im. V.A. Steklova

Download or read book Mathematics, Its Content, Methods, and Meaning written by Matematicheskiĭ institut im. V.A. Steklova and published by . This book was released on 1969 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics for the General Reader

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Publisher : Courier Dover Publications
ISBN 13 : 0486813924
Total Pages : 193 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Mathematics for the General Reader by : E.C. Titchmarsh

Download or read book Mathematics for the General Reader written by E.C. Titchmarsh and published by Courier Dover Publications. This book was released on 2017-04-19 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A first-class mathematician's lucid, unhurried account of the science of numbers from arithmetic through the calculus." — James R. Newman, The World of Mathematics. This highly accessible introduction to mathematics is geared toward readers seeking a firm grasp of the essentials of mathematical theory and practice. The treatment also offers a concise outline of mathematical history and a clearer notion of why mathematicians do what they do. Author E. C. Titchmarsh, who served for many years as Savilian Professor of Geometry at Oxford University, begins with counting and the fundamentals of arithmetic. He guides readers through the complexities of algebra, fractions, geometry, irrational numbers, logarithms, infinite series, complex numbers, quadratic equations, trigonometry, functions, and integral and differential calculus. Titchmarsh's graceful, fluid style helps make complicated topics easier to grasp, and his inclusion of numerous examples will prove especially helpful to readers with little or no background in mathematics.

Conceptual Mathematics

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Publisher : Cambridge University Press
ISBN 13 : 0521894859
Total Pages : 409 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Conceptual Mathematics by : F. William Lawvere

Download or read book Conceptual Mathematics written by F. William Lawvere and published by Cambridge University Press. This book was released on 2009-07-30 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: This truly elementary book on categories introduces retracts, graphs, and adjoints to students and scientists.

The Math Book

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Publisher : Union Square + ORM
ISBN 13 : 1402797494
Total Pages : 937 pages
Book Rating : 4.4/5 (27 download)

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Book Synopsis The Math Book by : Clifford A. Pickover

Download or read book The Math Book written by Clifford A. Pickover and published by Union Square + ORM. This book was released on 2011-09-27 with total page 937 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Neumann Prize–winning, illustrated exploration of mathematics—from its timeless mysteries to its history of mind-boggling discoveries. Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, The Math Book covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Each topic is lavishly illustrated with colorful art, along with formulas and concepts, fascinating facts about scientists’ lives, and real-world applications of the theorems.

Basic Mathematics

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Publisher :
ISBN 13 : 9783540967873
Total Pages : 475 pages
Book Rating : 4.9/5 (678 download)

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Book Synopsis Basic Mathematics by : Serge Lang

Download or read book Basic Mathematics written by Serge Lang and published by . This book was released on 1988-01 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt:

What is Mathematics?

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Publisher : Oxford University Press, USA
ISBN 13 : 9780195105193
Total Pages : 596 pages
Book Rating : 4.1/5 (51 download)

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Book Synopsis What is Mathematics? by : Richard Courant

Download or read book What is Mathematics? written by Richard Courant and published by Oxford University Press, USA. This book was released on 1996 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but not real understanding or greater intellectual independence. The new edition of this classic work seeks to address this problem. Its goal is to put the meaning back into mathematics. "Lucid . . . easily understandable".--Albert Einstein. 301 linecuts.

Fundamentals of University Mathematics

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Publisher : Elsevier
ISBN 13 : 0857092243
Total Pages : 564 pages
Book Rating : 4.8/5 (57 download)

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Book Synopsis Fundamentals of University Mathematics by : Colin McGregor

Download or read book Fundamentals of University Mathematics written by Colin McGregor and published by Elsevier. This book was released on 2010-10-20 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third edition of this popular and effective textbook provides in one volume a unified treatment of topics essential for first year university students studying for degrees in mathematics. Students of computer science, physics and statistics will also find this book a helpful guide to all the basic mathematics they require. It clearly and comprehensively covers much of the material that other textbooks tend to assume, assisting students in the transition to university-level mathematics.Expertly revised and updated, the chapters cover topics such as number systems, set and functions, differential calculus, matrices and integral calculus. Worked examples are provided and chapters conclude with exercises to which answers are given. For students seeking further challenges, problems intersperse the text, for which complete solutions are provided. Modifications in this third edition include a more informal approach to sequence limits and an increase in the number of worked examples, exercises and problems.The third edition of Fundamentals of university mathematics is an essential reference for first year university students in mathematics and related disciplines. It will also be of interest to professionals seeking a useful guide to mathematics at this level and capable pre-university students. - One volume, unified treatment of essential topics - Clearly and comprehensively covers material beyond standard textbooks - Worked examples, challenges and exercises throughout

Concepts of Modern Mathematics

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Publisher : Courier Corporation
ISBN 13 : 0486134954
Total Pages : 367 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Concepts of Modern Mathematics by : Ian Stewart

Download or read book Concepts of Modern Mathematics written by Ian Stewart and published by Courier Corporation. This book was released on 2012-05-23 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.

First Book in General Mathematics

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Publisher : Legare Street Press
ISBN 13 : 9781014919960
Total Pages : 280 pages
Book Rating : 4.9/5 (199 download)

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Book Synopsis First Book in General Mathematics by : Robert King Atwell

Download or read book First Book in General Mathematics written by Robert King Atwell and published by Legare Street Press. This book was released on 2021-09-10 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Architecture of Mathematics

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Publisher : CRC Press
ISBN 13 : 042989354X
Total Pages : 395 pages
Book Rating : 4.4/5 (298 download)

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Book Synopsis Architecture of Mathematics by : Simon Serovajsky

Download or read book Architecture of Mathematics written by Simon Serovajsky and published by CRC Press. This book was released on 2020-08-11 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Architecture of Mathematics describes the logical structure of Mathematics from its foundations to its real-world applications. It describes the many interweaving relationships between different areas of mathematics and its practical applications, and as such provides unique reading for professional mathematicians and nonmathematicians alike. This book can be a very important resource both for the teaching of mathematics and as a means to outline the research links between different subjects within and beyond the subject. Features All notions and properties are introduced logically and sequentially, to help the reader gradually build understanding. Focusses on illustrative examples that explain the meaning of mathematical objects and their properties. Suitable as a supplementary resource for teaching undergraduate mathematics, and as an aid to interdisciplinary research. Forming the reader's understanding of Mathematics as a unified science, the book helps to increase his general mathematical culture.

Equations from God

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Publisher : JHU Press
ISBN 13 : 0801891868
Total Pages : 374 pages
Book Rating : 4.8/5 (18 download)

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Book Synopsis Equations from God by : Daniel J. Cohen

Download or read book Equations from God written by Daniel J. Cohen and published by JHU Press. This book was released on 2007-04-08 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This illuminating history explores the complex relationship between mathematics, religious belief, and Victorian culture. Throughout history, application rather than abstraction has been the prominent driving force in mathematics. From the compass and sextant to partial differential equations, mathematical advances were spurred by the desire for better navigation tools, weaponry, and construction methods. But the religious upheaval in Victorian England and the fledgling United States opened the way for the rediscovery of pure mathematics, a tradition rooted in Ancient Greece. In Equations from God, Daniel J. Cohen captures the origins of the rebirth of abstract mathematics in the intellectual quest to rise above common existence and touch the mind of the deity. Using an array of published and private sources, Cohen shows how philosophers and mathematicians seized upon the beautiful simplicity inherent in mathematical laws to reconnect with the divine and traces the route by which the divinely inspired mathematics of the Victorian era begot later secular philosophies.

New General Mathematics for Junior Secondary Schools

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Publisher : Longman
ISBN 13 : 9781405870009
Total Pages : 320 pages
Book Rating : 4.8/5 (7 download)

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Book Synopsis New General Mathematics for Junior Secondary Schools by : Murray Macrae

Download or read book New General Mathematics for Junior Secondary Schools written by Murray Macrae and published by Longman. This book was released on 2008-06-03 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This well-established series, the most popular in Nigeria, has been fully revised to reflect recent developments in mathematics education at junior secondary level and the views of the many users of the books. It has expecially been revised to fully cover the requirements of the new NERDC Universal Basic Education Curriculum.

General Mathematics

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Publisher :
ISBN 13 :
Total Pages : 510 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis General Mathematics by : Raleigh Schorling

Download or read book General Mathematics written by Raleigh Schorling and published by . This book was released on 1919 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: