Download or read book The Fundamental Principle of Digits of a Number written by Chibamba Mulenga, PH.D. and published by Outskirts Press. This book was released on 2020-08-24 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Fundamental Principle of Digits of a Number is a new mathematical idea for which the author received a copyright from the United States Library of Congress. Two related concepts make it easy to understand and apply the principle. The first concept is that a permutation of digits of a given number is an arrangement of the digits of the given number in any order such that the numerical quantity, which results from the arrangement of the digits of the given number, has the same digits and the same number of digits as the given number. The second concept is that the difference between two permutations of digits of a given number is governed by a mathematical law which guarantees that the difference is divisible by 9. One day, the number 12 suddenly appeared on the author’s inner eye. It turned around and formed the number 21. The two numbers subtracted, and number 9 appeared. Then the three numbers disappeared from the author’s inner eye. The motion of the numbers by their own power, as if they were birds in the sky, prompted Chibamba Mulenga to investigate this event with digits of other numbers, leading to his discovery of this mathematical principle.
Download or read book The Fundamental Principle of Digits of a Number written by Chibamba Mulenga Mulenga, Ph.d. and published by . This book was released on 2019-01-21 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Fundamental Principle of Digits of a Number is a new mathematical principle for which the author received a copyright from the United States Library of Congress. Two related ideas make it easy to understand this principle. The first idea is that a permutation of digits of a given number is an arrangement of the digits of the given number in any order such that the numerical quantity, which results from the arrangement of the digits of the given number, has the same digits and the same number of digits as the given number. The second idea is that the difference between two permutations of digits of a given number is governed by a mathematical law, The Fundamental Principle of Digits of a Number, which guarantees that the difference is divisible by 9. One day, the number 12 suddenly appeared on the author's inner eye. It turned around and formed the number 21. The two numbers subtracted, and number 9 appeared. Then the three numbers disappeared from the author's inner eye. The motion of the numbers by their own power, as if they were birds in the sky, prompted Chibamba Mulenga to investigate this event with the digits of other numbers, leading to his discovery of this mathematical principle.
Download or read book Four Basic Principles of Numerology written by Frank Householder and published by Literary Licensing, LLC. This book was released on 2014-03-29 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Is A New Release Of The Original 1921 Edition.
Download or read book Lectures on the Philosophy of Mathematics written by Joel David Hamkins and published by MIT Press. This book was released on 2021-03-09 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.
Download or read book The Fundamental Principles of Mathematical Statistics written by Hugh Herbert Wolfenden and published by . This book was released on 1942 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Investigations of Hermann Von Helmholtz on the Fundamental Principles of Mathematics and Mechanics written by Leo Koenigsberger and published by . This book was released on 1898 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Fundamental Principles of Chemistry written by Wilhelm Ostwald and published by . This book was released on 1909 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Finite and Discrete Math Problem Solver written by Research & Education Association Editors and published by Research & Education Assoc.. This book was released on 2012-09-05 with total page 1038 pages. Available in PDF, EPUB and Kindle. Book excerpt: h Problem Solver is an insightful and essential study and solution guide chock-full of clear, concise problem-solving gems. All your questions can be found in one convenient source from one of the most trusted names in reference solution guides. More useful, more practical, and more informative, these study aids are the best review books and textbook companions available. Nothing remotely as comprehensive or as helpful exists in their subject anywhere. Perfect for undergraduate and graduate studies. Here in this highly useful reference is the finest overview of finite and discrete math currently available, with hundreds of finite and discrete math problems that cover everything from graph theory and statistics to probability and Boolean algebra. Each problem is clearly solved with step-by-step detailed solutions. DETAILS - The PROBLEM SOLVERS are unique - the ultimate in study guides. - They are ideal for helping students cope with the toughest subjects. - They greatly simplify study and learning tasks. - They enable students to come to grips with difficult problems by showing them the way, step-by-step, toward solving problems. As a result, they save hours of frustration and time spent on groping for answers and understanding. - They cover material ranging from the elementary to the advanced in each subject. - They work exceptionally well with any text in its field. - PROBLEM SOLVERS are available in 41 subjects. - Each PROBLEM SOLVER is prepared by supremely knowledgeable experts. - Most are over 1000 pages. - PROBLEM SOLVERS are not meant to be read cover to cover. They offer whatever may be needed at a given time. An excellent index helps to locate specific problems rapidly. TABLE OF CONTENTS Introduction Chapter 1: Logic Statements, Negations, Conjunctions, and Disjunctions Truth Table and Proposition Calculus Conditional and Biconditional Statements Mathematical Induction Chapter 2: Set Theory Sets and Subsets Set Operations Venn Diagram Cartesian Product Applications Chapter 3: Relations Relations and Graphs Inverse Relations and Composition of Relations Properties of Relations Equivalence Relations Chapter 4: Functions Functions and Graphs Surjective, Injective, and Bijective Functions Chapter 5: Vectors and Matrices Vectors Matrix Arithmetic The Inverse and Rank of a Matrix Determinants Matrices and Systems of Equations, Cramer's Rule Special Kinds of Matrices Chapter 6: Graph Theory Graphs and Directed Graphs Matrices and Graphs Isomorphic and Homeomorphic Graphs Planar Graphs and Colorations Trees Shortest Path(s) Maximum Flow Chapter 7: Counting and Binomial Theorem Factorial Notation Counting Principles Permutations Combinations The Binomial Theorem Chapter 8: Probability Probability Conditional Probability and Bayes' Theorem Chapter 9: Statistics Descriptive Statistics Probability Distributions The Binomial and Joint Distributions Functions of Random Variables Expected Value Moment Generating Function Special Discrete Distributions Normal Distributions Special Continuous Distributions Sampling Theory Confidence Intervals Point Estimation Hypothesis Testing Regression and Correlation Analysis Non-Parametric Methods Chi-Square and Contingency Tables Miscellaneous Applications Chapter 10: Boolean Algebra Boolean Algebra and Boolean Functions Minimization Switching Circuits Chapter 11: Linear Programming and the Theory of Games Systems of Linear Inequalities Geometric Solutions and Dual of Linear Programming Problems The Simplex Method Linear Programming - Advanced Methods Integer Programming The Theory of Games Index WHAT THIS BOOK IS FOR Students have generally found finite and discrete math difficult subjects to understand and learn. Despite the publication of hundreds of textbooks in this field, each one intended to provide an improvement over previous textbooks, students of finite and discrete math continue to remain perplexed as a result of numerous subject areas that must be remembered and correlated when solving problems. Various interpretations of finite and discrete math terms also contribute to the difficulties of mastering the subject. In a study of finite and discrete math, REA found the following basic reasons underlying the inherent difficulties of finite and discrete math: No systematic rules of analysis were ever developed to follow in a step-by-step manner to solve typically encountered problems. This results from numerous different conditions and principles involved in a problem that leads to many possible different solution methods. To prescribe a set of rules for each of the possible variations would involve an enormous number of additional steps, making this task more burdensome than solving the problem directly due to the expectation of much trial and error. Current textbooks normally explain a given principle in a few pages written by a finite and discrete math professional who has insight into the subject matter not shared by others. These explanations are often written in an abstract manner that causes confusion as to the principle's use and application. Explanations then are often not sufficiently detailed or extensive enough to make the reader aware of the wide range of applications and different aspects of the principle being studied. The numerous possible variations of principles and their applications are usually not discussed, and it is left to the reader to discover this while doing exercises. Accordingly, the average student is expected to rediscover that which has long been established and practiced, but not always published or adequately explained. The examples typically following the explanation of a topic are too few in number and too simple to enable the student to obtain a thorough grasp of the involved principles. The explanations do not provide sufficient basis to solve problems that may be assigned for homework or given on examinations. Poorly solved examples such as these can be presented in abbreviated form which leaves out much explanatory material between steps, and as a result requires the reader to figure out the missing information. This leaves the reader with an impression that the problems and even the subject are hard to learn - completely the opposite of what an example is supposed to do. Poor examples are often worded in a confusing or obscure way. They might not state the nature of the problem or they present a solution, which appears to have no direct relation to the problem. These problems usually offer an overly general discussion - never revealing how or what is to be solved. Many examples do not include accompanying diagrams or graphs, denying the reader the exposure necessary for drawing good diagrams and graphs. Such practice only strengthens understanding by simplifying and organizing finite and discrete math processes. Students can learn the subject only by doing the exercises themselves and reviewing them in class, obtaining experience in applying the principles with their different ramifications. In doing the exercises by themselves, students find that they are required to devote considerable more time to finite and discrete math than to other subjects, because they are uncertain with regard to the selection and application of the theorems and principles involved. It is also often necessary for students to discover those "tricks" not revealed in their texts (or review books) that make it possible to solve problems easily. Students must usually resort to methods of trial and error to discover these "tricks," therefore finding out that they may sometimes spend several hours to solve a single problem. When reviewing the exercises in classrooms, instructors usually request students to take turns in writing solutions on the boards and explaining them to the class. Students often find it difficult to explain in a manner that holds the interest of the class, and enables the remaining students to follow the material written on the boards. The remaining students in the class are thus too occupied with copying the material off the boards to follow the professor's explanations. This book is intended to aid students in finite and discrete math overcome the difficulties described by supplying detailed illustrations of the solution methods that are usually not apparent to students. Solution methods are illustrated by problems that have been selected from those most often assigned for class work and given on examinations. The problems are arranged in order of complexity to enable students to learn and understand a particular topic by reviewing the problems in sequence. The problems are illustrated with detailed, step-by-step explanations, to save the students large amounts of time that is often needed to fill in the gaps that are usually found between steps of illustrations in textbooks or review/outline books. The staff of REA considers finite and discrete math a subject that is best learned by allowing students to view the methods of analysis and solution techniques. This learning approach is similar to that practiced in various scientific laboratories, particularly in the medical fields. In using this book, students may review and study the illustrated problems at their own pace; students are not limited to the time such problems receive in the classroom. When students want to look up a particular type of problem and solution, they can readily locate it in the book by referring to the index that has been extensively prepared. It is also possible to locate a particular type of problem by glancing at just the material within the boxed portions. Each problem is numbered and surrounded by a heavy black border for speedy identification.
Download or read book S Chand s New Mathematics Class XI written by B.S. Sharma & P. Kumar and published by S. Chand Publishing. This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematic
Download or read book CBSE MATHEMATICS FOR CLASS XI written by Khattar Dinesh and published by PHI Learning Pvt. Ltd.. This book was released on with total page 1047 pages. Available in PDF, EPUB and Kindle. Book excerpt: Strictly as per the new CBSE course structure and NCERT guidelines, this thoroughly revised and updated textbook is designed for class XI of senior secondary schools (under the 10 + 2 pattern of education). The text is presented in a logical manner. It identifies your problem areas and helps you to solve them. Every effort has been made to make the contents as simple as possible so that the beginners will grasp the fundamental concepts easily. KEY FEATURES : Large number of solved examples to understand the subject. Categorization of problems under: Level of Difficulty A (Cover the needs of the students preparing for CBSE exams) Level of Difficulty B (Guide the students for engineering entrance examinations). ‘Learning Objectives’ at the beginning of each chapter to enable the students to focus their study. Problem Solving Trick(s) to enhance the problem solving skills. Besides this, each chapter is followed by a Chapter Test to test problem solving skills. Working hints to a large number of problems are given at the end of each and every exercise. In a nut shell, this book will help the students score high marks in CBSE, and at the same time build a strong foundation for success in any competitive examination. Contents: CONTENTS Preface Syllabus Chapter 1 Sets Chapter 2 Relations and Functions Chapter 3 Trigonometric Functions Chapter 4 Principle of Mathematical Induction Chapter 5 Complex Numbers and Quadratic Equations Chapter 6 Linear Inequations Chapter 7 Permutations and Combinations Chapter 8 Binomial Theorem Chapter 9 Sequences and Series Chapter 10 Straight Line Chapter 11 Conic Sections Chapter 12 Introduction to Three-Dimensional Geometry Chapter 13 Limits and Derivatives Chapter 14 Mathematical Reasoning Chapter 15 Statistics: Measures of Dispersion Chapter 16 Probability
Download or read book Proof and the Art of Mathematics written by Joel David Hamkins and published by MIT Press. This book was released on 2020-09-29 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to writing proofs, presented through compelling mathematical statements with interesting elementary proofs. This book offers an introduction to the art and craft of proof-writing. The author, a leading research mathematician, presents a series of engaging and compelling mathematical statements with interesting elementary proofs. These proofs capture a wide range of topics, including number theory, combinatorics, graph theory, the theory of games, geometry, infinity, order theory, and real analysis. The goal is to show students and aspiring mathematicians how to write proofs with elegance and precision.
Download or read book Probability Statistical Concepts an Introduction written by and published by Rex Bookstore, Inc.. This book was released on with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to the Probability Theory written by Taha Sochi and published by Taha Sochi. This book was released on 2023-02-07 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of notes and solved problems about probability theory. The book also contains proposed exercises attached to the solved problems as well as computer codes (in C++ language) added to some of these problems for the purpose of calculation, test and simulation. Illustrations (such as figures and tables) are added when necessary or appropriate to enhance clarity and improve understanding. In most cases intuitive arguments and methods are used to make the notes and solutions natural and instinctive. Like my previous books, maximum clarity was one of the main objectives and criteria in determining the style of writing, presenting and structuring the book as well as selecting its contents. However, the reader should notice that the book, in most parts, does not go beyond the basic probability and hence most subjects are presented and treated at their basic level. Accordingly, modest mathematical background knowledge is required for understanding most of the contents of the book. In fact, the book in most parts requires no more than a college or secondary school level of general mathematics. So, the intended readers of the book are primarily college (or A-level) students as well as junior undergraduate students (e.g. in mathematics or science or engineering). An interesting feature of the book is that it is written and designed, in part, to address practical calculational issues (e.g. through sample codes and suggested methods of solution) and hence it is especially useful to those who are interested in the calculational applications of the probability theory. The book can be used as a text or as a reference for an introductory course on this subject and may also be used for general reading in mathematics. The book may also be adopted as a source of pedagogical materials which can supplement, for instance, tutorial sessions (e.g. in undergraduate courses on mathematics or science).
Download or read book Self Help to CBSE Applied Mathematics Solutions of RD Sharma Class 11 written by Munish Sethi and published by Ravinder Singh and sons. This book was released on with total page 1305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes the Solutions to the Questions given in the textbook CBSE Applied Mathematics written by RD Sharma published by Dhanpat Rai. This book is for 2023 Examinations.
Download or read book Aptified aptitude simplified written by Anuj gupta and published by Blue Rose Publishers. This book was released on 2022-03-29 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: “I have very well been aware of the massive shift in every aspect of life because of mathematics. It makes me extremely happy to see that people are now realizing the importance of the subject and I’m able to contribute my bit in the same. Math is not a boring subject and one just needs to be taught right. We, at Mockopedia, do not just prepare school students as per their school curriculum but also train them for competitive exams like Olympiads and test series, and quantitative analysis. Apart from school students, we also train students for undergrad exams like BBA and B Com, CAT, SAT, UPSC, MPSC, etc.” said Anuj Gupta, Founder, Mockopedia.
Download or read book The Fundamental Principles of Learning and Study written by Austin Southwick Edwards and published by . This book was released on 1920 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
