Elements of Mathematics

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Publisher : Princeton University Press
ISBN 13 : 0691171688
Total Pages : 440 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Elements of Mathematics by : John Stillwell

Download or read book Elements of Mathematics written by John Stillwell and published by Princeton University Press. This book was released on 2016 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exciting look at the world of elementary mathematics Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematics--but, as John Stillwell shows, this subject is not as elementary or straightforward as one might think. Not all topics that are part of today's elementary mathematics were always considered as such, and great mathematical advances and discoveries had to occur in order for certain subjects to become "elementary." Stillwell examines elementary mathematics from a distinctive twenty-first-century viewpoint and describes not only the beauty and scope of the discipline, but also its limits. From Gaussian integers to propositional logic, Stillwell delves into arithmetic, computation, algebra, geometry, calculus, combinatorics, probability, and logic. He discusses how each area ties into more advanced topics to build mathematics as a whole. Through a rich collection of basic principles, vivid examples, and interesting problems, Stillwell demonstrates that elementary mathematics becomes advanced with the intervention of infinity. Infinity has been observed throughout mathematical history, but the recent development of "reverse mathematics" confirms that infinity is essential for proving well-known theorems, and helps to determine the nature, contours, and borders of elementary mathematics. Elements of Mathematics gives readers, from high school students to professional mathematicians, the highlights of elementary mathematics and glimpses of the parts of math beyond its boundaries.

Arithmetic for the Practical Man

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Publisher :
ISBN 13 :
Total Pages : 288 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Arithmetic for the Practical Man by : James Edgar Thompson

Download or read book Arithmetic for the Practical Man written by James Edgar Thompson and published by . This book was released on 1962 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics for the Practical Man

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Publisher :
ISBN 13 :
Total Pages : 168 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Mathematics for the Practical Man by : George Howe

Download or read book Mathematics for the Practical Man written by George Howe and published by . This book was released on 1915 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics for the Practical Man

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Publisher : Franklin Classics Trade Press
ISBN 13 : 9780344185304
Total Pages : 214 pages
Book Rating : 4.1/5 (853 download)

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Book Synopsis Mathematics for the Practical Man by : George Howe

Download or read book Mathematics for the Practical Man written by George Howe and published by Franklin Classics Trade Press. This book was released on 2018-10-25 with total page 214 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.

A Key to Part the second of Nesbit's Practical Arithmetic

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Publisher :
ISBN 13 :
Total Pages : 386 pages
Book Rating : 4.0/5 (2 download)

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Book Synopsis A Key to Part the second of Nesbit's Practical Arithmetic by : Anthony NESBIT

Download or read book A Key to Part the second of Nesbit's Practical Arithmetic written by Anthony NESBIT and published by . This book was released on 1846 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A complete treatise on practical arithmetic and book-keeping ... Revised by Dr. Olinthus Gregory ... To which is added an appendix ... Nineteenth edition, corrected and enlarged, with a supplement ... by Samuel Maynard

Download A complete treatise on practical arithmetic and book-keeping ... Revised by Dr. Olinthus Gregory ... To which is added an appendix ... Nineteenth edition, corrected and enlarged, with a supplement ... by Samuel Maynard PDF Online Free

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Publisher :
ISBN 13 :
Total Pages : 276 pages
Book Rating : 4.0/5 (19 download)

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Book Synopsis A complete treatise on practical arithmetic and book-keeping ... Revised by Dr. Olinthus Gregory ... To which is added an appendix ... Nineteenth edition, corrected and enlarged, with a supplement ... by Samuel Maynard by : Charles Hutton

Download or read book A complete treatise on practical arithmetic and book-keeping ... Revised by Dr. Olinthus Gregory ... To which is added an appendix ... Nineteenth edition, corrected and enlarged, with a supplement ... by Samuel Maynard written by Charles Hutton and published by . This book was released on 1842 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Practical Arithmetic

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Publisher :
ISBN 13 :
Total Pages : 352 pages
Book Rating : 4.L/5 ( download)

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Book Synopsis Practical Arithmetic by : James Bates Thomson

Download or read book Practical Arithmetic written by James Bates Thomson and published by . This book was released on 1850 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Thirteen Books of Euclid's Elements

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Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781546376675
Total Pages : 448 pages
Book Rating : 4.3/5 (766 download)

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Book Synopsis The Thirteen Books of Euclid's Elements by : Euclid

Download or read book The Thirteen Books of Euclid's Elements written by Euclid and published by Createspace Independent Publishing Platform. This book was released on 2017-04-30 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Euclid's Elements is a mathematical and geometric treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt circa 300 BC. It is a collection of definitions, postulates (axioms), propositions (theorems and constructions), and mathematical proofs of the propositions. The books cover Euclidean geometry and the ancient Greek version of elementary number theory. The work also includes an algebraic system that has become known as geometric algebra, which is powerful enough to solve many algebraic problems, including the problem of finding the square root of a number. Elements is the second-oldest extant Greek mathematical treatise after Autolycus' On the Moving Sphere, and it is the oldest extant axiomatic deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science. According to Proclus, the term "element" was used to describe a theorem that is all-pervading and helps furnishing proofs of many other theorems. The word 'element' in the Greek language is the same as 'letter'. This suggests that theorems in the Elements should be seen as standing in the same relation to geometry as letters to language. Later commentators give a slightly different meaning to the term element, emphasizing how the propositions have progressed in small steps, and continued to build on previous propositions in a well-defined order.

Elements of Arithmetic and Algebra

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Publisher :
ISBN 13 :
Total Pages : 552 pages
Book Rating : 4.K/5 ( download)

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Book Synopsis Elements of Arithmetic and Algebra by : William Scott

Download or read book Elements of Arithmetic and Algebra written by William Scott and published by . This book was released on 1850 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Euclid's Elements

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Publisher :
ISBN 13 :
Total Pages : 544 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Euclid's Elements by : Euclid

Download or read book Euclid's Elements written by Euclid and published by . This book was released on 2002 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.

Practical Arithmetic ... for Schools and Academies. Day and Thomson's Series

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Publisher :
ISBN 13 :
Total Pages : 356 pages
Book Rating : 4.0/5 (22 download)

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Book Synopsis Practical Arithmetic ... for Schools and Academies. Day and Thomson's Series by : James Bates THOMSON

Download or read book Practical Arithmetic ... for Schools and Academies. Day and Thomson's Series written by James Bates THOMSON and published by . This book was released on 1846 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elements of Arithmetic and Algebra. For the Use of the Royal Military College ... Second Edition

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Publisher :
ISBN 13 :
Total Pages : 550 pages
Book Rating : 4.0/5 (25 download)

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Book Synopsis Elements of Arithmetic and Algebra. For the Use of the Royal Military College ... Second Edition by : William SCOTT (Professor of Mathematics at Sandhurst.)

Download or read book Elements of Arithmetic and Algebra. For the Use of the Royal Military College ... Second Edition written by William SCOTT (Professor of Mathematics at Sandhurst.) and published by . This book was released on 1850 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Elements of Mechanism, Etc

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Publisher :
ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.V/5 ( download)

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Book Synopsis The Elements of Mechanism, Etc by : Thomas Tate (Mathematical Master, Training College, Battersea.)

Download or read book The Elements of Mechanism, Etc written by Thomas Tate (Mathematical Master, Training College, Battersea.) and published by . This book was released on 1851 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Practical Discrete Mathematics

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Publisher : Packt Publishing Ltd
ISBN 13 : 1838983503
Total Pages : 330 pages
Book Rating : 4.8/5 (389 download)

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Book Synopsis Practical Discrete Mathematics by : Ryan T. White

Download or read book Practical Discrete Mathematics written by Ryan T. White and published by Packt Publishing Ltd. This book was released on 2021-02-22 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: A practical guide simplifying discrete math for curious minds and demonstrating its application in solving problems related to software development, computer algorithms, and data science Key FeaturesApply the math of countable objects to practical problems in computer scienceExplore modern Python libraries such as scikit-learn, NumPy, and SciPy for performing mathematicsLearn complex statistical and mathematical concepts with the help of hands-on examples and expert guidanceBook Description Discrete mathematics deals with studying countable, distinct elements, and its principles are widely used in building algorithms for computer science and data science. The knowledge of discrete math concepts will help you understand the algorithms, binary, and general mathematics that sit at the core of data-driven tasks. Practical Discrete Mathematics is a comprehensive introduction for those who are new to the mathematics of countable objects. This book will help you get up to speed with using discrete math principles to take your computer science skills to a more advanced level. As you learn the language of discrete mathematics, you'll also cover methods crucial to studying and describing computer science and machine learning objects and algorithms. The chapters that follow will guide you through how memory and CPUs work. In addition to this, you'll understand how to analyze data for useful patterns, before finally exploring how to apply math concepts in network routing, web searching, and data science. By the end of this book, you'll have a deeper understanding of discrete math and its applications in computer science, and be ready to work on real-world algorithm development and machine learning. What you will learnUnderstand the terminology and methods in discrete math and their usage in algorithms and data problemsUse Boolean algebra in formal logic and elementary control structuresImplement combinatorics to measure computational complexity and manage memory allocationUse random variables, calculate descriptive statistics, and find average-case computational complexitySolve graph problems involved in routing, pathfinding, and graph searches, such as depth-first searchPerform ML tasks such as data visualization, regression, and dimensionality reductionWho this book is for This book is for computer scientists looking to expand their knowledge of discrete math, the core topic of their field. University students looking to get hands-on with computer science, mathematics, statistics, engineering, or related disciplines will also find this book useful. Basic Python programming skills and knowledge of elementary real-number algebra are required to get started with this book.

Practical Analysis in One Variable

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Publisher : Springer Science & Business Media
ISBN 13 : 0387226443
Total Pages : 621 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Practical Analysis in One Variable by : Donald Estep

Download or read book Practical Analysis in One Variable written by Donald Estep and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text places the basic ideas of real analysis and numerical analysis together in an applied setting that is both accessible and motivational to young students. The essentials of real analysis are presented in the context of a fundamental problem of applied mathematics, which is to approximate the solution of a physical model. The framework of existence, uniqueness, and methods to approximate solutions of model equations is sufficiently broad to introduce and motivate all the basic ideas of real analysis. The book includes background and review material, numerous examples, visualizations and alternate explanations of some key ideas, and a variety of exercises ranging from simple computations to analysis and estimates to computations on a computer.

An elementary treatise on algebra. [With] Key

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Publisher :
ISBN 13 :
Total Pages : 196 pages
Book Rating : 4.R/5 (5 download)

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Book Synopsis An elementary treatise on algebra. [With] Key by : James Thomson

Download or read book An elementary treatise on algebra. [With] Key written by James Thomson and published by . This book was released on 1847 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Connecting Arithmetic to Algebra

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Publisher : Heinemann Educational Books
ISBN 13 : 9780325041919
Total Pages : 0 pages
Book Rating : 4.0/5 (419 download)

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Book Synopsis Connecting Arithmetic to Algebra by : Susan Jo Russell

Download or read book Connecting Arithmetic to Algebra written by Susan Jo Russell and published by Heinemann Educational Books. This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "To truly engage in mathematics is to become curious and intrigued about regularities and patterns, then describe and explain them. A focus on the behavior of the operations allows students starting in the familiar territory of number and computation to progress to true engagement in the discipline of mathematics." -Susan Jo Russell, Deborah Schifter, and Virginia Bastable Algebra readiness: it's a topic of concern that seems to pervade every school district. How can we better prepare elementary students for algebra? More importantly, how can we help all children, not just those who excel in math, become ready for later instruction? The answer lies not in additional content, but in developing a way of thinking about the mathematics that underlies both arithmetic and algebra. Connecting Arithmetic to Algebra invites readers to learn about a crucial component of algebraic thinking: investigating the behavior of the operations. Nationally-known math educators Susan Jo Russell, Deborah Schifter, and Virginia Bastable and a group of collaborating teachers describe how elementary teachers can shape their instruction so that students learn to: *notice and describe consistencies across problems *articulate generalizations about the behavior of the operations *develop mathematical arguments based on representations to explain why such generalizations are or are not true. Through such work, students become familiar with properties and general rules that underlie computational strategies-including those that form the basis of strategies used in algebra-strengthening their understanding of grade-level content and at the same time preparing them for future studies. Each chapter is illustrated by lively episodes drawn from the classrooms of collaborating teachers in a wide range of settings. These provide examples of posing problems, engaging students in productive discussion, using representations to develop mathematical arguments, and supporting both students with a wide range of learning profiles. Staff Developers: Available online, the Course Facilitator's Guide provides math leaders with tools and resources for implementing a Connecting Arithmetic to Algebra workshop or preservice course. For information on the PD course offered through Mount Holyoke College, download the flyer.