The Natural Arithmetic
Author: Isaac Oscar Winslow
Publisher:
Published: 1901
Total Pages: 284
ISBN-13:
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Moebius Noodles
Author: Yelena McManaman
Publisher: Natural Math
Published: 2013-04-25
Total Pages: 96
ISBN-13: 9780977693955
DOWNLOAD EBOOK"How do you want your child to feel about math? Confident, curious and deeply connected? Then Moebius Noodles is for you. It offers advanced math activities to fit your child's personality, interests, and needs. Can you enjoy playful math with your child? Yes! The book shows you how to go beyond your own math limits and anxieties to do so. It opens the door to a supportive online community that will answer your questions and give you ideas along the way. Learn how you can create an immersive rich math environment for your baby. Find out ways to help your toddler discover deep math in everyday experiences. Play games that will develop your child's sense of happy familiarity with mathematics. A five-year-old once asked us, "Who makes math?" and jumped for joy at the answer, "You!" Moebius Noodles helps you take small, immediate steps toward the sense of mathematical power. You and your child can make math your own. Together, make your own math!"--Publisher's website.
A Mathematical Nature Walk
Author: John Adam
Publisher: Princeton University Press
Published: 2011-09-12
Total Pages: 272
ISBN-13: 140083290X
DOWNLOAD EBOOKHow heavy is that cloud? Why can you see farther in rain than in fog? Why are the droplets on that spider web spaced apart so evenly? If you have ever asked questions like these while outdoors, and wondered how you might figure out the answers, this is a book for you. An entertaining and informative collection of fascinating puzzles from the natural world around us, A Mathematical Nature Walk will delight anyone who loves nature or math or both. John Adam presents ninety-six questions about many common natural phenomena--and a few uncommon ones--and then shows how to answer them using mostly basic mathematics. Can you weigh a pumpkin just by carefully looking at it? Why can you see farther in rain than in fog? What causes the variations in the colors of butterfly wings, bird feathers, and oil slicks? And why are large haystacks prone to spontaneous combustion? These are just a few of the questions you'll find inside. Many of the problems are illustrated with photos and drawings, and the book also has answers, a glossary of terms, and a list of some of the patterns found in nature. About a quarter of the questions can be answered with arithmetic, and many of the rest require only precalculus. But regardless of math background, readers will learn from the informal descriptions of the problems and gain a new appreciation of the beauty of nature and the mathematics that lies behind it.
Foundations of Analysis
Author: Edmund Landau
Publisher:
Published: 2021-02
Total Pages: 142
ISBN-13: 9781950217083
DOWNLOAD EBOOKNatural numbers, zero, negative integers, rational numbers, irrational numbers, real numbers, complex numbers, . . ., and, what are numbers? The most accurate mathematical answer to the question is given in this book.
The Nature of Mathematical Knowledge
Author: Philip Kitcher
Publisher: Oxford University Press, USA
Published: 1984
Total Pages: 300
ISBN-13: 0195035410
DOWNLOAD EBOOKThis book argues against the view that mathematical knowledge is a priori, contending that mathematics is an empirical science and develops historically, just as natural sciences do. Kitcher presents a complete, systematic, and richly detailed account of the nature of mathematical knowledge and its historical development, focusing on such neglected issues as how and why mathematical language changes, why certain questions assume overriding importance, and how standards of proof are modified.
Number Systems and the Foundations of Analysis
Author: Elliott Mendelson
Publisher: Dover Books on Mathematics
Published: 2008
Total Pages: 0
ISBN-13: 9780486457925
DOWNLOAD EBOOKGeared toward undergraduate and beginning graduate students, this study explores natural numbers, integers, rational numbers, real numbers, and complex numbers. Numerous exercises and appendixes supplement the text. 1973 edition.
Metamathematics of First-Order Arithmetic
Author: Petr Hájek
Publisher: Cambridge University Press
Published: 2017-03-02
Total Pages: 475
ISBN-13: 1107168414
DOWNLOAD EBOOKA much-needed monograph on the metamathematics of first-order arithmetic, paying particular attention to fragments of Peano arithmetic.
Mathematics for Natural Scientists
Author: Lev Kantorovich
Publisher: Springer
Published: 2015-10-08
Total Pages: 536
ISBN-13: 149392785X
DOWNLOAD EBOOKThis book covers a course of mathematics designed primarily for physics and engineering students. It includes all the essential material on mathematical methods, presented in a form accessible to physics students, avoiding precise mathematical jargon and proofs which are comprehensible only to mathematicians. Instead, all proofs are given in a form that is clear and convincing enough for a physicist. Examples, where appropriate, are given from physics contexts. Both solved and unsolved problems are provided in each section of the book. Mathematics for Natural Scientists: Fundamentals and Basics is the first of two volumes. Advanced topics and their applications in physics are covered in the second volume.
Camp Logic
Author: Mark Saul
Publisher: Natural Math
Published: 2015
Total Pages: 0
ISBN-13: 9780977693962
DOWNLOAD EBOOKThis book offers a deeper insight into what mathematics is, tapping every child's intuitive ideas of logic and natural enjoyment of games. Simple-looking games and puzzles quickly lead to deeper insights, which will eventually connect with significant formal mathematical ideas as the child grows. This book is addressed to leaders of math circles or enrichment programs, but its activities can fit into regular math classes, homeschooling venues, or situations in which students are learning mathematics on their own. The mathematics contained in the activities can be enjoyed on many levels.
A Course in Arithmetic
Author: J-P. Serre
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 126
ISBN-13: 1468498843
DOWNLOAD EBOOKThis book is divided into two parts. The first one is purely algebraic. Its objective is the classification of quadratic forms over the field of rational numbers (Hasse-Minkowski theorem). It is achieved in Chapter IV. The first three chapters contain some preliminaries: quadratic reciprocity law, p-adic fields, Hilbert symbols. Chapter V applies the preceding results to integral quadratic forms of discriminant ± I. These forms occur in various questions: modular functions, differential topology, finite groups. The second part (Chapters VI and VII) uses "analytic" methods (holomor phic functions). Chapter VI gives the proof of the "theorem on arithmetic progressions" due to Dirichlet; this theorem is used at a critical point in the first part (Chapter Ill, no. 2.2). Chapter VII deals with modular forms, and in particular, with theta functions. Some of the quadratic forms of Chapter V reappear here. The two parts correspond to lectures given in 1962 and 1964 to second year students at the Ecole Normale Superieure. A redaction of these lectures in the form of duplicated notes, was made by J.-J. Sansuc (Chapters I-IV) and J.-P. Ramis and G. Ruget (Chapters VI-VII). They were very useful to me; I extend here my gratitude to their authors.
