First Steps In Arithmetic Vol 1
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A First Step To Mathematical Olympiad Problems
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Author : Derek Allan Holton
language : en
Publisher: World Scientific Publishing Company
Release Date : 2009-07-30
A First Step To Mathematical Olympiad Problems written by Derek Allan Holton and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-30 with Mathematics categories.
See also A SECOND STEP TO MATHEMATICAL OLYMPIAD PROBLEMS The International Mathematical Olympiad (IMO) is an annual international mathematics competition held for pre-collegiate students. It is also the oldest of the international science olympiads, and competition for places is particularly fierce. This book is an amalgamation of the first 8 of 15 booklets originally produced to guide students intending to contend for placement on their country's IMO team. The material contained in this book provides an introduction to the main mathematical topics covered in the IMO, which are: Combinatorics, Geometry and Number Theory. In addition, there is a special emphasis on how to approach unseen questions in Mathematics, and model the writing of proofs. Full answers are given to all questions. Though A First Step to Mathematical Olympiad Problems is written from the perspective of a mathematician, it is written in a way that makes it easily comprehensible to adolescents. This book is also a must-read for coaches and instructors of mathematical competitions.
A Complete English Grammar
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Author : Mathew Wilson
language : en
Publisher:
Release Date : 1884
A Complete English Grammar written by Mathew Wilson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1884 with English language categories.
Parliamentary Papers
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Author : Great Britain. Parliament. House of Commons
language : en
Publisher:
Release Date : 1860
Parliamentary Papers written by Great Britain. Parliament. House of Commons and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1860 with Bills, Legislative categories.
The Educational Calendar And Scholastic Year Book Ed By F Marcus
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Author :
language : en
Publisher:
Release Date : 1869
The Educational Calendar And Scholastic Year Book Ed By F Marcus written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1869 with categories.
Mathematics Class 10 Based On Ncert Guidelines
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Author : Dr. Ram Dev Sharma
language : en
Publisher: SBPD Publications
Release Date : 2022-07-12
Mathematics Class 10 Based On Ncert Guidelines written by Dr. Ram Dev Sharma and has been published by SBPD Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-12 with Juvenile Fiction categories.
1. Real Number : Euclid’s division lemma, Fundamental Theorem of Arithmetic-statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality of Decimal representation of rational numbers in terms of terminating/non-terminating recurring decimals. Unit II : Algebra 1. Polynomials : Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials. Statement and simple problems on division algorithm for polynomials with real coefficients. 2. Pair of Linear Equations in Two Variables: Pair of linear equations in two variables and graphical method of their solution, consistency/inconsistency. Algebraic conditions for number of solutions. Solution of a pair of linear equations in two variables algebraically-by substitution, by elimination and by cross multiplication method. Simple situational problems. Simple problems on equation reducible to linear equations. 3.Quadratic Equations : Standard form of a quadratic equation ax2 + bx + c = 0, (a ¹ 0). Solutions of quadratic equations (only real roots) by factorization, by completing the square and by using quadratic formula. Relationship between discriminate and nature of roots. Situational problems based on quadratic equations related to day to day activities to be incorporated. 4. Arithmetic Progressions: Motivation for studying Arithmetic Progression Derivation of the nth term and sum of the first n terms of A.P. their application in solving daily life problems. Unit III: Coordinate Geometry 1. Lines (In two-dimensions) : Review : Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division). Area of a triangle. Unit IV: Geometry 1.Triangles: Definition, examples, counter examples of similar triangles 1. (Prove) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio. 2. (Motivate) If a line divides two sides of a triangle in the same ratio, the line in parallel to the third side. 3. (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides proportional and the triangles are similar. 4. (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and two triangles are similar. 5. (Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar. 6. (Motivate) If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, the triangles on each side of the perpendicular are similar to the whole triangle and to each other. 7. (Prove) The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides. 8. (Prove) In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. 9. (Prove) In a triangle, if the square on one side is equal to sum of the squares on the other two sides, the angles opposite to the first side is a right angle. 2. Circles Tangent to a circle at, point of contact : 1. (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact. 2. (Prove) The lengths of tangents drawn from an external point to a circle are equal. 3.Constructions : 1. Division of a line segment in a given ratio (internally) 2. Tangents to a circle from a point outside it. 3. Construction of a triangle similar to a given triangle. Unit V : Trigonometry 1. Introduction of Trigonometry : Trigonometric ratios of an acute angel of a right-angled triangle. Proof of their existence (well defined) ; motivate the ratios whichever are defined at 0 and 90. Values (with proofs) of the trigonometric ratios of 30º, 45º and 60º. Relationship between the ratios. 2.Trigonometric Identities : Proof and applications of the identity sin2 A + cos2 A = 1. Only simple identities to be given. Trigonometric ratios of complementary angles. 3. Heights and Distances : Angle of elevation, Angle of Depression. Simple problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation/depression should be only 30º, 45º, 60º. Unit VI : Mensuration 1.Areas Related to Circles : Motivate the area of a circle ; area of sectors and segments of a circle. Problems based on area and perimeter/circumference of the above said plane figures. (In calculating area of segment of a circle, problems should be restricted to central angle of 60º, 90º and 120º only. Plane figures involving triangles, simple quadrilaterals and circle should be taken.) 2. Surface Areas and Volumes : 1. Surface areas and volumes of combination of any two of the following : cubes, cuboids, spheres, hemispheres and right circular cylinders/cones. Frustum of a cone. 2. Problems involving converting one type of metallic solid into another and other mixed problems. (Problems with combination of not more than two different solids be taken.) Unit VII : Statistics and Probability 1.Statistics : Mean, median and mode of grouped data (bimodal situation to be avoided) cumulative frequency graph 2.Probability : Classical definition of probability. Simple problems on single events (not
10 In One Study Package For Cbse Mathematics Class 10 With Objective Questions 3 Sample Papers 4th Edition
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Author : Disha Experts
language : en
Publisher: Disha Publications
Release Date : 2020-08-08
10 In One Study Package For Cbse Mathematics Class 10 With Objective Questions 3 Sample Papers 4th Edition written by Disha Experts and has been published by Disha Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-08 with categories.
Dynamical Systems Iv
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Author : V.I. Arnol'd
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Dynamical Systems Iv written by V.I. Arnol'd and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
From the reviews of the first edition: "... In general the articles ... are well written in a style that enables one to grasp the ideas. The actual style is a readable mix of the important results, outlines of proofs and complete proofs when it does not take too long together with readable explanations of what is going on. Also very useful are the large lists of references which are important not only for their mathematical content but also because the references given also contain articles in the Soviet literature which may not be familiar or possibly accessible to readers." New Zealand Math. Soc. Newsletter 1991 "... Here ... a wealth of material is displayed for us, too much to even indicate in a review. ... Your reviewer was very impressed by the contents of both volumes (EMS 2 and 4), recommending them without any restriction. As far as he could judge, most presentations seem fairly complete..." Mededelingen van het Wiskundig genootshap 1992
Selected Regular Lectures From The 12th International Congress On Mathematical Education
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Author : Sung Je Cho
language : en
Publisher: Springer
Release Date : 2015-07-16
Selected Regular Lectures From The 12th International Congress On Mathematical Education written by Sung Je Cho and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-16 with Education categories.
This book comprises the full selected Regular Lectures from the Proceedings of the 12th International Congress on Mathematical Education (ICME-12), which was held at COEX in Seoul, Korea, from July 8th to 15th, 2012. ICME-12 brought together 4700 experts from 100 countries, working to understand all of the intellectual and attitudinal challenges in the subject of mathematics education as a multidisciplinary research and practice. These selected Regular Lectures present the work of fifty-one prominent mathematics educators from all over the globe. The Lectures cover a wide spectrum of topics, themes and issues and aim to give direction to future research towards educational improvement in the teaching and learning of mathematics education. This book is of particular interest to researchers, teachers and curriculum developers in mathematics education.
The Bookseller
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Author :
language : en
Publisher:
Release Date : 1864
The Bookseller written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1864 with Bibliography categories.
Official organ of the book trade of the United Kingdom.
First Steps In Differential Geometry
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Author : Andrew McInerney
language : en
Publisher: Springer
Release Date : 2015-08-05
First Steps In Differential Geometry written by Andrew McInerney and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-05 with Mathematics categories.
Differential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus, linear algebra, and differential equations to the higher levels of abstraction and proof encountered at the upper division by mathematics majors. Today it is possible to describe differential geometry as "the study of structures on the tangent space," and this text develops this point of view. This book, unlike other introductory texts in differential geometry, develops the architecture necessary to introduce symplectic and contact geometry alongside its Riemannian cousin. The main goal of this book is to bring the undergraduate student who already has a solid foundation in the standard mathematics curriculum into contact with the beauty of higher mathematics. In particular, the presentation here emphasizes the consequences of a definition and the careful use of examples and constructions in order to explore those consequences.