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Author : Joseph Fields
Publisher :
ISBN 13 :
Total Pages : 414 pages
Book Rating : 4.08/5 ( download)
Download or read book A Gentle Introduction to the Art of Mathematics written by Joseph Fields and published by . This book was released on 2015 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joe Fields
Publisher :
ISBN 13 : 9781480220669
Total Pages : 466 pages
Book Rating : 4.63/5 ( download)
Download or read book A Gentle Introduction to the Art of Mathematics, Version 3. 0 written by Joe Fields and published by . This book was released on 2012-12-18 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: GIAM (a Gentle Introduction to the Art of Mathematics) is a free, open-source textbook -- the current version is 3.0. GIAM covers several topics in the foundations of mathematics (logic, sets, relations, functions and cardinality) and introduces the reader to many techniques of mathematical proof (direct, indirect, contradiction, contrapositive, mathematical induction, combinatorial proofs and magic).
Author : Joe Fields
Publisher :
ISBN 13 : 9781494949662
Total Pages : 438 pages
Book Rating : 4.60/5 ( download)
Download or read book A Gentle Introduction to the Art of Mathematics, Version 3. 1SN written by Joe Fields and published by . This book was released on 2014-01-08 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Gentle Introduction to the Art of Mathematics (GIAM for short) is a textbook for a "transitions" course.Transitions courses (also known as "foundations" or "intro to proofs" courses) are typically taken after the Calculus sequence and before upper-division coursework in the mathematics major. Their purpose is to acclimatize the student to some of the culture and terminology of mathematics and to begin developing in them a proficiency at reading and writing mathematical proofs. GIAM has chapters on Logic, Set theory, Relations and Cardinality interspersed with chapters on proofs -- direct and indirect arguments, induction, combinatorial reasoning and "magic". This is version 3.1SN. The 'S' flag indicates that the symbol used for logical negation is ~. The 'N' flag indicates that the convention that 1 (not 0) is the smallest natural number is maintained throughout.
Author : Joseph Fields
Publisher :
ISBN 13 :
Total Pages : 416 pages
Book Rating : 4.83/5 ( download)
Download or read book A Gentle Introduction to the Art of Mathematics written by Joseph Fields and published by . This book was released on 2013 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dan Pedoe
Publisher : Courier Corporation
ISBN 13 : 0486164063
Total Pages : 162 pages
Book Rating : 4.69/5 ( download)
Download or read book The Gentle Art of Mathematics written by Dan Pedoe and published by Courier Corporation. This book was released on 2012-12-27 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lighthearted work uses a variety of practical applications and puzzles to take a look at today's mathematical trends. In nine chapters, Professor Pedoe covers mathematical games, chance and choice, automatic thinking, and more.
Author : Scott A. Annin
Publisher : The Mathematical Association of America
ISBN 13 : 0883858355
Total Pages : 399 pages
Book Rating : 4.56/5 ( download)
Download or read book A Gentle Introduction to the American Invitational Mathematics Exam written by Scott A. Annin and published by The Mathematical Association of America. This book was released on 2015-11-16 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a celebration of mathematical problem solving at the level of the high school American Invitational Mathematics Examination. There is no other book on the market focused on the AIME. It is intended, in part, as a resource for comprehensive study and practice for the AIME competition for students, teachers, and mentors. After all, serious AIME contenders and competitors should seek a lot of practice in order to succeed. However, this book is also intended for anyone who enjoys solving problems as a recreational pursuit. The AIME contains many problems that have the power to foster enthusiasm for mathematics – the problems are fun, engaging, and addictive. The problems found within these pages can be used by teachers who wish to challenge their students, and they can be used to foster a community of lovers of mathematical problem solving! There are more than 250 fully-solved problems in the book, containing examples from AIME competitions of the 1980’s, 1990’s, 2000’s, and 2010’s. In some cases, multiple solutions are presented to highlight variable approaches. To help problem-solvers with the exercises, the author provides two levels of hints to each exercise in the book, one to help stuck starters get an idea how to begin, and another to provide more guidance in navigating an approach to the solution.
Author : Bruce E. Sagan
Publisher : American Mathematical Soc.
ISBN 13 : 1470460327
Total Pages : 304 pages
Book Rating : 4.27/5 ( download)
Download or read book Combinatorics: The Art of Counting written by Bruce E. Sagan and published by American Mathematical Soc.. This book was released on 2020-10-16 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a gentle introduction to the enumerative part of combinatorics suitable for study at the advanced undergraduate or beginning graduate level. In addition to covering all the standard techniques for counting combinatorial objects, the text contains material from the research literature which has never before appeared in print, such as the use of quotient posets to study the Möbius function and characteristic polynomial of a partially ordered set, or the connection between quasisymmetric functions and pattern avoidance. The book assumes minimal background, and a first course in abstract algebra should suffice. The exposition is very reader friendly: keeping a moderate pace, using lots of examples, emphasizing recurring themes, and frankly expressing the delight the author takes in mathematics in general and combinatorics in particular.
Author : Peter Collier
Publisher : Incomprehensible Books
ISBN 13 : 0957389469
Total Pages : 276 pages
Book Rating : 4.65/5 ( download)
Download or read book A Most Incomprehensible Thing written by Peter Collier and published by Incomprehensible Books. This book was released on 2017-04-01 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: A straightforward, enjoyable guide to the mathematics of Einstein's relativity To really understand Einstein's theory of relativity – one of the cornerstones of modern physics – you have to get to grips with the underlying mathematics. This self-study guide is aimed at the general reader who is motivated to tackle that not insignificant challenge. With a user-friendly style, clear step-by-step mathematical derivations, many fully solved problems and numerous diagrams, this book provides a comprehensive introduction to a fascinating but complex subject. For those with minimal mathematical background, the first chapter gives a crash course in foundation mathematics. The reader is then taken gently by the hand and guided through a wide range of fundamental topics, including Newtonian mechanics; the Lorentz transformations; tensor calculus; the Einstein field equations; the Schwarzschild solution (which gives a good approximation of the spacetime of our Solar System); simple black holes, relativistic cosmology and gravitational waves. Special relativity helps explain a huge range of non-gravitational physical phenomena and has some strangely counter-intuitive consequences. These include time dilation, length contraction, the relativity of simultaneity, mass-energy equivalence and an absolute speed limit. General relativity, the leading theory of gravity, is at the heart of our understanding of cosmology and black holes. "I must observe that the theory of relativity resembles a building consisting of two separate stories, the special theory and the general theory. The special theory, on which the general theory rests, applies to all physical phenomena with the exception of gravitation; the general theory provides the law of gravitation and its relations tothe other forces of nature." – Albert Einstein, 1919 Understand even the basics of Einstein's amazing theory and the world will never seem the same again. Contents: Preface Introduction 1 Foundation mathematics 2 Newtonian mechanics 3 Special relativity 4 Introducing the manifold 5 Scalars, vectors, one-forms and tensors 6 More on curvature 7 General relativity 8 The Newtonian limit 9 The Schwarzschild metric 10 Schwarzschild black holes 11 Cosmology 12 Gravitational waves Appendix: The Riemann curvature tensor Bibliography Acknowledgements January 2019. This third edition has been revised to make the material even more accessible to the enthusiastic general reader who seeks to understand the mathematics of relativity.
Author : Joel David Hamkins
Publisher : MIT Press
ISBN 13 : 0262362562
Total Pages : 132 pages
Book Rating : 4.66/5 ( download)
Download or read book Proof and the Art of Mathematics written by Joel David Hamkins and published by MIT Press. This book was released on 2021-02-23 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: How to write mathematical proofs, shown in fully-worked out examples. This is a companion volume Joel Hamkins's Proof and the Art of Mathematics, providing fully worked-out solutions to all of the odd-numbered exercises as well as a few of the even-numbered exercises. In many cases, the solutions go beyond the exercise question itself to the natural extensions of the ideas, helping readers learn how to approach a mathematical investigation. As Hamkins asks, "Once you have solved a problem, why not push the ideas harder to see what further you can prove with them?" These solutions offer readers examples of how to write a mathematical proofs. The mathematical development of this text follows the main book, with the same chapter topics in the same order, and all theorem and exercise numbers in this text refer to the corresponding statements of the main text.
Author : William P. Berlinghoff
Publisher : American Mathematical Soc.
ISBN 13 : 147046456X
Total Pages : 331 pages
Book Rating : 4.61/5 ( download)
Download or read book Math through the Ages: A Gentle History for Teachers and Others Expanded Second Edition written by William P. Berlinghoff and published by American Mathematical Soc.. This book was released on 2021-04-29 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: Where did math come from? Who thought up all those algebra symbols, and why? What is the story behind π π? … negative numbers? … the metric system? … quadratic equations? … sine and cosine? … logs? The 30 independent historical sketches in Math through the Ages answer these questions and many others in an informal, easygoing style that is accessible to teachers, students, and anyone who is curious about the history of mathematical ideas. Each sketch includes Questions and Projects to help you learn more about its topic and to see how the main ideas fit into the bigger picture of history. The 30 short stories are preceded by a 58-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. “What to Read Next” and reading suggestions after each sketch provide starting points for readers who want to learn more. This book is ideal for a broad spectrum of audiences, including students in history of mathematics courses at the late high school or early college level, pre-service and in-service teachers, and anyone who just wants to know a little more about the origins of mathematics.
