An Excursion through Elementary Mathematics, Volume I

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Author :
Publisher : Springer
ISBN 13 : 9783319538709
Total Pages : 652 pages
Book Rating : 4.5/5 (387 download)

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Book Synopsis An Excursion through Elementary Mathematics, Volume I by : Antonio Caminha Muniz Neto

Download or read book An Excursion through Elementary Mathematics, Volume I written by Antonio Caminha Muniz Neto and published by Springer. This book was released on 2017-04-10 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world. It expands on topics usually encountered in high school and could even be used as preparation for a first-semester undergraduate course. This first volume covers Real Numbers, Functions, Real Analysis, Systems of Equations, Limits and Derivatives, and much more. As part of a collection, the book differs from other publications in this field by not being a mere selection of questions or a set of tips and tricks that applies to specific problems. It starts from the most basic theoretical principles, without being either too general or too axiomatic. Examples and problems are discussed only if they are helpful as applications of the theory. Propositions are proved in detail and subsequently applied to Olympic problems or to other problems at the Olympic level. The book also explores some of the hardest problems presented at National and International Mathematics Olympiads, as well as many essential theorems related to the content. An extensive Appendix offering hints on or full solutions for all difficult problems rounds out the book.

An Excursion through Elementary Mathematics, Volume III

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Author :
Publisher : Springer
ISBN 13 : 331977977X
Total Pages : 647 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis An Excursion through Elementary Mathematics, Volume III by : Antonio Caminha Muniz Neto

Download or read book An Excursion through Elementary Mathematics, Volume III written by Antonio Caminha Muniz Neto and published by Springer. This book was released on 2018-04-17 with total page 647 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world. It expands on topics usually encountered in high school and could even be used as preparation for a first-semester undergraduate course. This third and last volume covers Counting, Generating Functions, Graph Theory, Number Theory, Complex Numbers, Polynomials, and much more. As part of a collection, the book differs from other publications in this field by not being a mere selection of questions or a set of tips and tricks that applies to specific problems. It starts from the most basic theoretical principles, without being either too general or too axiomatic. Examples and problems are discussed only if they are helpful as applications of the theory. Propositions are proved in detail and subsequently applied to Olympic problems or to other problems at the Olympic level. The book also explores some of the hardest problems presented at National and International Mathematics Olympiads, as well as many essential theorems related to the content. An extensive Appendix offering hints on or full solutions for all difficult problems rounds out the book.

Mathematical Excursions to the World's Great Buildings

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Author :
Publisher : Princeton University Press
ISBN 13 : 1400841992
Total Pages : 336 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Mathematical Excursions to the World's Great Buildings by : Alexander J. Hahn

Download or read book Mathematical Excursions to the World's Great Buildings written by Alexander J. Hahn and published by Princeton University Press. This book was released on 2012-07-22 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: How mathematics helped build the world's most important buildings from early Egypt to the present From the pyramids and the Parthenon to the Sydney Opera House and the Bilbao Guggenheim, this book takes readers on an eye-opening tour of the mathematics behind some of the world's most spectacular buildings. Beautifully illustrated, the book explores the milestones in elementary mathematics that enliven the understanding of these buildings and combines this with an in-depth look at their aesthetics, history, and structure. Whether using trigonometry and vectors to explain why Gothic arches are structurally superior to Roman arches, or showing how simple ruler and compass constructions can produce sophisticated architectural details, Alexander Hahn describes the points at which elementary mathematics and architecture intersect. Beginning in prehistoric times, Hahn proceeds to guide readers through the Greek, Roman, Islamic, Romanesque, Gothic, Renaissance, and modern styles. He explores the unique features of the Pantheon, the Hagia Sophia, the Great Mosque of Cordoba, the Duomo in Florence, Palladio's villas, and Saint Peter's Basilica, as well as the U.S. Capitol Building. Hahn celebrates the forms and structures of architecture made possible by mathematical achievements from Greek geometry, the Hindu-Arabic number system, two- and three-dimensional coordinate geometry, and calculus. Along the way, Hahn introduces groundbreaking architects, including Brunelleschi, Alberti, da Vinci, Bramante, Michelangelo, della Porta, Wren, Gaudí, Saarinen, Utzon, and Gehry. Rich in detail, this book takes readers on an expedition around the globe, providing a deeper understanding of the mathematical forces at play in the world's most elegant buildings.

Excursions in Geometry

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Author :
Publisher : Courier Corporation
ISBN 13 : 0486265307
Total Pages : 191 pages
Book Rating : 4.4/5 (862 download)

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Book Synopsis Excursions in Geometry by : Charles Stanley Ogilvy

Download or read book Excursions in Geometry written by Charles Stanley Ogilvy and published by Courier Corporation. This book was released on 1990-01-01 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: A straightedge, compass, and a little thought are all that's needed to discover the intellectual excitement of geometry. Harmonic division and Apollonian circles, inversive geometry, hexlet, Golden Section, more. 132 illustrations.

Excursions in Number Theory

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Author :
Publisher : Courier Corporation
ISBN 13 : 9780486257785
Total Pages : 196 pages
Book Rating : 4.2/5 (577 download)

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Book Synopsis Excursions in Number Theory by : Charles Stanley Ogilvy

Download or read book Excursions in Number Theory written by Charles Stanley Ogilvy and published by Courier Corporation. This book was released on 1988-01-01 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Challenging, accessible mathematical adventures involving prime numbers, number patterns, irrationals and iterations, calculating prodigies, and more. No special training is needed, just high school mathematics and an inquisitive mind. "A splendidly written, well selected and presented collection. I recommend the book unreservedly to all readers." — Martin Gardner.

The Joy of X

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Author :
Publisher : Houghton Mifflin Harcourt
ISBN 13 : 0547517653
Total Pages : 333 pages
Book Rating : 4.5/5 (475 download)

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Book Synopsis The Joy of X by : Steven Henry Strogatz

Download or read book The Joy of X written by Steven Henry Strogatz and published by Houghton Mifflin Harcourt. This book was released on 2012 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: A delightful tour of the greatest ideas of math, showing how math intersects with philosophy, science, art, business, current events, and everyday life, by an acclaimed science communicator and regular contributor to the "New York Times."

An Excursion through Elementary Mathematics, Volume II

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Author :
Publisher : Springer
ISBN 13 : 3319779745
Total Pages : 550 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis An Excursion through Elementary Mathematics, Volume II by : Antonio Caminha Muniz Neto

Download or read book An Excursion through Elementary Mathematics, Volume II written by Antonio Caminha Muniz Neto and published by Springer. This book was released on 2018-04-16 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world. It expands on topics usually encountered in high school and could even be used as preparation for a first-semester undergraduate course. This second volume covers Plane Geometry, Trigonometry, Space Geometry, Vectors in the Plane, Solids and much more. As part of a collection, the book differs from other publications in this field by not being a mere selection of questions or a set of tips and tricks that applies to specific problems. It starts from the most basic theoretical principles, without being either too general or too axiomatic. Examples and problems are discussed only if they are helpful as applications of the theory. Propositions are proved in detail and subsequently applied to Olympic problems or to other problems at the Olympic level. The book also explores some of the hardest problems presented at National and International Mathematics Olympiads, as well as many essential theorems related to the content. An extensive Appendix offering hints on or full solutions for all difficult problems rounds out the book.

Geometric transformations

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Author :
Publisher :
ISBN 13 : 9780883856000
Total Pages : pages
Book Rating : 4.8/5 (56 download)

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Book Synopsis Geometric transformations by : Issak Moiseevich Yaglom

Download or read book Geometric transformations written by Issak Moiseevich Yaglom and published by . This book was released on 1983 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Excursions in Classical Analysis

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0883859351
Total Pages : 317 pages
Book Rating : 4.8/5 (838 download)

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Book Synopsis Excursions in Classical Analysis by : Hongwei Chen

Download or read book Excursions in Classical Analysis written by Hongwei Chen and published by American Mathematical Soc.. This book was released on 2010-12-31 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excursions in Classical Analysis will introduce students to advanced problem solving and undergraduate research in two ways: it will provide a tour of classical analysis, showcasing a wide variety of problems that are placed in historical context, and it will help students gain mastery of mathematical discovery and proof. The [Author]; presents a variety of solutions for the problems in the book. Some solutions reach back to the work of mathematicians like Leonhard Euler while others connect to other beautiful parts of mathematics. Readers will frequently see problems solved by using an idea that, at first glance, might not even seem to apply to that problem. Other solutions employ a specific technique that can be used to solve many different kinds of problems. Excursions emphasizes the rich and elegant interplay between continuous and discrete mathematics by applying induction, recursion, and combinatorics to traditional problems in classical analysis. The book will be useful in students' preparations for mathematics competitions, in undergraduate reading courses and seminars, and in analysis courses as a supplement. The book is also ideal for self study, since the chapters are independent of one another and may be read in any order.

An Introduction to Algebraic Structures

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Author :
Publisher : Courier Corporation
ISBN 13 : 0486150410
Total Pages : 275 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis An Introduction to Algebraic Structures by : Joseph Landin

Download or read book An Introduction to Algebraic Structures written by Joseph Landin and published by Courier Corporation. This book was released on 2012-08-29 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained text covers sets and numbers, elements of set theory, real numbers, the theory of groups, group isomorphism and homomorphism, theory of rings, and polynomial rings. 1969 edition.

An Excursion through Elementary Mathematics, Volume I

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Author :
Publisher : Springer
ISBN 13 : 3319538713
Total Pages : 657 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis An Excursion through Elementary Mathematics, Volume I by : Antonio Caminha Muniz Neto

Download or read book An Excursion through Elementary Mathematics, Volume I written by Antonio Caminha Muniz Neto and published by Springer. This book was released on 2017-03-31 with total page 657 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world. It expands on topics usually encountered in high school and could even be used as preparation for a first-semester undergraduate course. This first volume covers Real Numbers, Functions, Real Analysis, Systems of Equations, Limits and Derivatives, and much more. As part of a collection, the book differs from other publications in this field by not being a mere selection of questions or a set of tips and tricks that applies to specific problems. It starts from the most basic theoretical principles, without being either too general or too axiomatic. Examples and problems are discussed only if they are helpful as applications of the theory. Propositions are proved in detail and subsequently applied to Olympic problems or to other problems at the Olympic level. The book also explores some of the hardest problems presented at National and International Mathematics Olympiads, as well as many essential theorems related to the content. An extensive Appendix offering hints on or full solutions for all difficult problems rounds out the book.

Discrete Mathematics

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 0471476021
Total Pages : 706 pages
Book Rating : 4.4/5 (714 download)

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Book Synopsis Discrete Mathematics by : Douglas E. Ensley

Download or read book Discrete Mathematics written by Douglas E. Ensley and published by John Wiley & Sons. This book was released on 2005-10-07 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: These active and well-known authors have come together to create a fresh, innovative, and timely approach to Discrete Math. One innovation uses several major threads to help weave core topics into a cohesive whole. Throughout the book the application of mathematical reasoning is emphasized to solve problems while the authors guide the student in thinking about, reading, and writing proofs in a wide variety of contexts. Another important content thread, as the sub-title implies, is the focus on mathematical puzzles, games and magic tricks to engage students.

Problem-Solving Strategies

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Publisher : Springer Science & Business Media
ISBN 13 : 0387226419
Total Pages : 404 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Problem-Solving Strategies by : Arthur Engel

Download or read book Problem-Solving Strategies written by Arthur Engel and published by Springer Science & Business Media. This book was released on 2008-01-19 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.

Elementary Mathematics from a Higher Standpoint

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Author :
Publisher : Springer
ISBN 13 : 3662494396
Total Pages : 267 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Elementary Mathematics from a Higher Standpoint by : Felix Klein

Download or read book Elementary Mathematics from a Higher Standpoint written by Felix Klein and published by Springer. This book was released on 2016-06-28 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: ​These three volumes constitute the first complete English translation of Felix Klein’s seminal series “Elementarmathematik vom höheren Standpunkte aus”. “Complete” has a twofold meaning here: First, there now exists a translation of volume III into English, while until today the only translation had been into Chinese. Second, the English versions of volume I and II had omitted several, even extended parts of the original, while we now present a complete revised translation into modern English. The volumes, first published between 1902 and 1908, are lecture notes of courses that Klein offered to future mathematics teachers, realizing a new form of teacher training that remained valid and effective until today: Klein leads the students to gain a more comprehensive and methodological point of view on school mathematics. The volumes enable us to understand Klein’s far-reaching conception of elementarisation, of the “elementary from a higher standpoint”, in its implementation for school mathematics. In Volume III, Klein explores the relationship between precision and approximation mathematics. He crosses the various fields of mathematics – from functions in one and two variables to practical geometry to space curves and surfaces – underlining the relation between the exactness of the idealised concepts and the approximations to be considered in applications. Logical procedures are confronted with the way in which concepts arise starting from observations. It is a comparison between properties pertaining only to the theoretical field of abstract mathematics and properties that can be grasped by intuition. The final part, which concerns gestalt relations of curves and surfaces, shows Klein to be the master of the art of description of geometric forms.

An Adventurer's Guide to Number Theory

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Author :
Publisher : Courier Corporation
ISBN 13 : 0486152693
Total Pages : 241 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis An Adventurer's Guide to Number Theory by : Richard Friedberg

Download or read book An Adventurer's Guide to Number Theory written by Richard Friedberg and published by Courier Corporation. This book was released on 2012-07-06 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This witty introduction to number theory deals with the properties of numbers and numbers as abstract concepts. Topics include primes, divisibility, quadratic forms, and related theorems.

Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers

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Author :
Publisher : Springer
ISBN 13 : 3319992147
Total Pages : 465 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers by : Nicholas H. Wasserman

Download or read book Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers written by Nicholas H. Wasserman and published by Springer. This book was released on 2018-12-12 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Secondary mathematics teachers are frequently required to take a large number of mathematics courses – including advanced mathematics courses such as abstract algebra – as part of their initial teacher preparation program and/or their continuing professional development. The content areas of advanced and secondary mathematics are closely connected. Yet, despite this connection many secondary teachers insist that such advanced mathematics is unrelated to their future professional work in the classroom. This edited volume elaborates on some of the connections between abstract algebra and secondary mathematics, including why and in what ways they may be important for secondary teachers. Notably, the volume disseminates research findings about how secondary teachers engage with, and make sense of, abstract algebra ideas, both in general and in relation to their own teaching, as well as offers itself as a place to share practical ideas and resources for secondary mathematics teacher preparation and professional development. Contributors to the book are scholars who have both experience in the mathematical preparation of secondary teachers, especially in relation to abstract algebra, as well as those who have engaged in related educational research. The volume addresses some of the persistent issues in secondary mathematics teacher education in connection to advanced mathematics courses, as well as situates and conceptualizes different ways in which abstract algebra might be influential for teachers of algebra. Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers is a productive resource for mathematics teacher educators who teach capstone courses or content-focused methods courses, as well as for abstract algebra instructors interested in making connections to secondary mathematics.

Arithmetical Excursions

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Publisher :
ISBN 13 :
Total Pages : 320 pages
Book Rating : 4.:/5 (351 download)

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Book Synopsis Arithmetical Excursions by : Henry Bowers

Download or read book Arithmetical Excursions written by Henry Bowers and published by . This book was released on 1961 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: