Famous Problems Of Geometry And How To Solve Them PDF Books

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Famous Problems Of Geometry And How To Solve Them

Famous Problems Of Geometry And How To Solve Them
Author: Benjamin Bold
Publisher: Courier Corporation
ISBN: 0486137635
Size: 43.84 MB
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Delve into the development of modern mathematics and match wits with Euclid, Newton, Descartes, and others. Each chapter explores an individual type of challenge, with commentary and practice problems. Solutions.
Famous Problems of Geometry and How to Solve Them
Language: en
Pages: 144
Authors: Benjamin Bold
Categories: Science
Type: BOOK - Published: 2012-05-11 - Publisher: Courier Corporation
Delve into the development of modern mathematics and match wits with Euclid, Newton, Descartes, and others. Each chapter explores an individual type of challenge, with commentary and practice problems. Solutions.
Famous Problems of Elementary Geometry
Language: en
Pages: 92
Authors: Felix Klein, Wooster Woodruff Beman, David Eugene Smith
Categories: Mathematics
Type: BOOK - Published: 2003-01-01 - Publisher: Courier Corporation
Widely regarded as a classic of modern mathematics, this expanded version of Felix Klein's celebrated 1894 lectures uses contemporary techniques to examine three famous problems of antiquity: doubling the volume of a cube, trisecting an angle, and squaring a circle. Today's students will find this volume of particular interest in its answers to such questions as: Under what circumstances is a geometric construction possible? By what means can a geometric construction be effected? What are transcendental numbers, and how can you prove that e and pi are transcendental? The straightforward treatment requires no higher knowledge of mathematics. Unabridged reprint of the classic 1930 second edition.
CRC Concise Encyclopedia of Mathematics
Language: en
Pages: 3252
Authors: Eric W. Weisstein
Categories: Mathematics
Type: BOOK - Published: 2002-12-12 - Publisher: CRC Press
Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d
Learning to Teach Mathematics in the Secondary School
Language: en
Pages: 318
Authors: Sue Johnston-Wilder, Clare Lee, David Pimm
Categories: Education
Type: BOOK - Published: 2016-09-13 - Publisher: Taylor & Francis
Learning to Teach Mathematics in the Secondary School combines theory and practice to present a broad introduction to the opportunities and challenges of teaching mathematics in the secondary school classroom. This fourth edition has been fully updated to reflect the latest changes to the curriculum and research in the field, taking into account key developments in teacher training and education, including examinations and assessment. Written specifically with the new and student teacher in mind, the book covers a wide range of issues related to the teaching of mathematics, such as: why we teach mathematics the place of mathematics in the National Curriculum planning, teaching and assessing for mathematics learning how to communicate mathematically using digital technology to advance mathematical learning working with students with special educational needs post-16 teaching the importance of professional development the affective dimension when learning mathematics, including motivation, confidence and resilience Already a major text for many university teaching courses, this revised edition features a glossary of useful terms and carefully designed tasks to prompt critical reflection and support thinking and writing up to Masters Level. Issues of professional development are also examined, as well as a range of teaching approaches and styles from whole-class strategies
Methods of Solving Complex Geometry Problems
Language: en
Pages: 234
Authors: Ellina Grigorieva
Categories: Mathematics
Type: BOOK - Published: 2013-08-13 - Publisher: Springer Science & Business Media
This book is a unique collection of challenging geometry problems and detailed solutions that will build students’ confidence in mathematics. By proposing several methods to approach each problem and emphasizing geometry’s connections with different fields of mathematics, Methods of Solving Complex Geometry Problems serves as a bridge to more advanced problem solving. Written by an accomplished female mathematician who struggled with geometry as a child, it does not intimidate, but instead fosters the reader’s ability to solve math problems through the direct application of theorems. Containing over 160 complex problems with hints and detailed solutions, Methods of Solving Complex Geometry Problems can be used as a self-study guide for mathematics competitions and for improving problem-solving skills in courses on plane geometry or the history of mathematics. It contains important and sometimes overlooked topics on triangles, quadrilaterals, and circles such as the Menelaus-Ceva theorem, Simson’s line, Heron’s formula, and the theorems of the three altitudes and medians. It can also be used by professors as a resource to stimulate the abstract thinking required to transcend the tedious and routine, bringing forth the original thought of which their students are capable. Methods of Solving Complex Geometry Problems will interest high school and
Creep and Relaxation of Nonlinear Viscoelastic Materials
Language: en
Pages: 371
Authors: William Nichols Findley, James S. Lai, Kasif Onaran
Categories: Technology & Engineering
Type: BOOK - Published: 1989-01-01 - Publisher: Courier Corporation
Pioneering book presents basic theory, experimental methods and results, and solution of boundary value problems. Topics include creep, stress and strain, deformation analyses, multiple integral representation of nonlinear creep and relaxation, and much more. Appendices. Bibliography.
Group Theory and Its Application to Physical Problems
Language: en
Pages: 509
Authors: Morton Hamermesh
Categories: Science
Type: BOOK - Published: 1989-01-01 - Publisher: Courier Corporation
"A remarkably intelligible survey . . . well organized, well written and very clear throughout." — Mathematical Reviews This excellent text, long considered one of the best-written, most skillful expositions of group theory and its physical applications, is directed primarily to advanced undergraduate and graduate students in physics, especially quantum physics. No knowledge of group theory is assumed, but the reader is expected to be familiar with quantum mechanics. And while much of the book concerns theory, readers will nevertheless find a large number of physical applications in the fields of crystallography, molecular theory, and atomic and nuclear physics. The first seven chapters of the book are concerned with finite groups, focusing on the central role of the symmetric group. This section concludes with a chapter dealing with the problem of determining group characters, as it discusses Young tableaux, Yamanouchi symbols, and the method of Hund. The remaining five chapters discuss continuous groups, particularly Lie groups, with the final chapter devoted to the ray representation of Lie groups. The author, Professor Emeritus of Physics at the University of Minnesota, has included a generous selection of problems. They are inserted throughout the text at the place where they naturally arise, making
An Introduction to Linear Algebra and Tensors
Language: en
Pages: 167
Authors: Maks A?zikovich Akivis, Vladislav Viktorovich Gol?dberg
Categories: Mathematics
Type: BOOK - Published: 1972-01-01 - Publisher: Courier Corporation
Eminently readable and completely elementary, this treatment begins with linear spaces and ends with analytic geometry. Additional topics include multilinear forms, tensors, linear transformation, eigenvectors and eigenvalues, matrix polynomials, and more. More than 250 carefully chosen problems appear throughout the book, most with hints and answers. 1972 edition.
An Introduction to Lebesgue Integration and Fourier Series
Language: en
Pages: 159
Authors: Howard J. Wilcox, David L. Myers
Categories: Mathematics
Type: BOOK - Published: 1994-01-01 - Publisher: Courier Corporation
This book arose out of the authors' desire to present Lebesgue integration and Fourier series on an undergraduate level, since most undergraduate texts do not cover this material or do so in a cursory way. The result is a clear, concise, well-organized introduction to such topics as the Riemann integral, measurable sets, properties of measurable sets, measurable functions, the Lebesgue integral, convergence and the Lebesgue integral, pointwise convergence of Fourier series and other subjects. The authors not only cover these topics in a useful and thorough way, they have taken pains to motivate the student by keeping the goals of the theory always in sight, justifying each step of the development in terms of those goals. In addition, whenever possible, new concepts are related to concepts already in the student's repertoire. Finally, to enable readers to test their grasp of the material, the text is supplemented by numerous examples and exercises. Mathematics students as well as students of engineering and science will find here a superb treatment, carefully thought out and well presented , that is ideal for a one semester course. The only prerequisite is a basic knowledge of advanced calculus, including the notions of compactness, continuity, uniform convergence
Experiments and Observations on the Gastric Juice and the Physiology of Digestion
Language: en
Pages: 280
Authors: William Beaumont, William Osler
Categories: Science
Type: BOOK - Published: 1996-01-01 - Publisher: Courier Corporation
Landmark of medicine was first comprehensive study of stomach in operation: digestive processes, role of gastric juice, lining and its convolutions, much more. Introduction by Sir William Osler.