Download or read book A Note on a Sum Involving Odd Numbers written by Edmundo Capelas de Oliveira and published by . This book was released on 2006 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Elementary Number Theory with Programming written by Marty Lewinter and published by John Wiley & Sons. This book was released on 2015-05-06 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: A highly successful presentation of the fundamental concepts of number theory and computer programming Bridging an existing gap between mathematics and programming, Elementary Number Theory with Programming provides a unique introduction to elementary number theory with fundamental coverage of computer programming. Written by highly-qualified experts in the fields of computer science and mathematics, the book features accessible coverage for readers with various levels of experience and explores number theory in the context of programming without relying on advanced prerequisite knowledge and concepts in either area. Elementary Number Theory with Programming features comprehensive coverage of the methodology and applications of the most well-known theorems, problems, and concepts in number theory. Using standard mathematical applications within the programming field, the book presents modular arithmetic and prime decomposition, which are the basis of the public-private key system of cryptography. In addition, the book includes: Numerous examples, exercises, and research challenges in each chapter to encourage readers to work through the discussed concepts and ideas Select solutions to the chapter exercises in an appendix Plentiful sample computer programs to aid comprehension of the presented material for readers who have either never done any programming or need to improve their existing skill set A related website with links to select exercises An Instructor’s Solutions Manual available on a companion website Elementary Number Theory with Programming is a useful textbook for undergraduate and graduate-level students majoring in mathematics or computer science, as well as an excellent supplement for teachers and students who would like to better understand and appreciate number theory and computer programming. The book is also an ideal reference for computer scientists, programmers, and researchers interested in the mathematical applications of programming.

Download or read book An Introduction to Algebra with Notes and Observations written by John Bonnycastle and published by . This book was released on 1829 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Notes on Sums of Squares of Consecutive Odd Integers written by W. Sollfrey and published by . This book was released on 1967 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the latest of a series of papers, Brother U. Alfred has investigated the conditions under which the sum of the squares of N consecutive odd integers can be a square. He derives several theorems to eliminate many values of N, and finds solutions for other values. Eight numbers below 1000 (193, 564, 577, 601, 673, 724, 772, 913) remain unresolved. Also, in his table of solutions there are 17 values for which the solution exceeds 10 digits, and one contains 34 digits. In this note the eight cases will be resolved, and solutions will be presented for the 17 cases, only one of which contains as many as 7 digits. A systematic procedure for finding these solutions will be demonstrated.

Download or read book An Introduction to Algebra with Notes and Observations Designed for the Use of Schools and Places of Public Education written by John Bonnycastle and published by London : J. Nunn. This book was released on 1815 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book CBSE Central Board of Secondary Education Class VIII Mathematics Topic wise Notes A Complete Preparation Study Notes with Solved MCQs written by EduGorilla Prep Experts and published by EduGorilla Community Pvt. Ltd.. This book was released on with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The International Operating Engineer written by and published by . This book was released on 1915 with total page 902 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Scholar s Arithmetic Or Federal Accountant Stereotype Edition Revised and Corrected with Additions written by Daniel Adams and published by . This book was released on 1817 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book God Created The Integers written by Stephen Hawking and published by Running Press Adult. This book was released on 2007-03-29 with total page 1053 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bestselling author and physicist Stephen Hawking explores the "masterpieces" of mathematics, 25 landmarks spanning 2,500 years and representing the work of 15 mathematicians, including Augustin Cauchy, Bernard Riemann, and Alan Turing. This extensive anthology allows readers to peer into the mind of genius by providing them with excerpts from the original mathematical proofs and results. It also helps them understand the progression of mathematical thought, and the very foundations of our present-day technologies. Each chapter begins with a biography of the featured mathematician, clearly explaining the significance of the result, followed by the full proof of the work, reproduced from the original publication.

Download or read book APC CBSE Learning Mathematics Class 10 Avichal Publishing Company written by M.L. Aggarwal and published by Avichal Publishing Company. This book was released on with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learning Mathematics - Class 9 has been written by Mr. M.L. Aggarwal (Former Head of P.G. Department of Mathematics, D.A.V. College, Jalandhar) in accordance with the latest term-wise Syllabus and Guidelines issued by the CBSE on Comprehensive and Continuous Evaluation. The subject matter contained in this book has been explained in a simple language and includes many examples from real life situations. Carefully selected examples consist of detailed step-by-step solutions so that students get prepared to tackle all the problems given in the exercises. Questions in the form of Fill in the Blanks, True/False Statements and Multiple Choice Questions have been given under the heading ‘Mental Maths’. In addition to normal questions, some ‘Higher Order Thinking Skills (HOTS )’ questions have been given to enhance the analytical thinking of the students. A ‘Chapter Test’ has been put in the end of each chapter which serves as the brief revision of the entire chapter. Term-wise Model Question Papers for Formative and Summative Assessments have been given at proper places.

Download or read book CUET UG Section III Numerical Ability and Quantitative Reasoning Study Notes with Theory Practice MCQs for Complete Preparation Conducted by NTA written by EduGorilla Prep Experts and published by EduGorilla Community Pvt. Ltd.. This book was released on with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: EduGorilla's Study Notes are the best-selling notes for CUET UG Section III Numerical Ability and Quantitative Reasoning Exam. Their content is well-researched and covers all topics related to NA and Quant •The Study Guide are designed to help students prepare thoroughly for their exams, with topic-wise notes that are comprehensive and easy to understand. •The notes also include solved multiple-choice questions (MCQs) for self-evaluation, allowing students to gauge their progress and identify areas that require further improvement. •This Study Materials are perfect for understanding the pattern and type of questions asked in CUET UG Numerical Ability and Quantitative Reasoning •This study notes are tailored to the latest syllabus as given by NTA for the exams, making them a valuable resource for exam preparation.

Download or read book Algecadabra written by Ronald Edwards and published by R.I.C. Publications. This book was released on 2008 with total page 77 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Treatise on Algebra in Practice and Theory with Notes and Illustrations Containing a Variety of Particulars Relating to the Discoveries and Improvements that Have Been Made in this Branch of Analysis By John Bonnycastle In Two Volumes written by and published by . This book was released on 1820 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Math Encyclopedia of Smarandache type Notions written by Marius Coman and published by Infinite Study. This book was released on with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: About the works of Florentin Smarandache have been written a lot of books (he himself wrote dozens of books and articles regarding math, physics, literature, philosophy). Being a globally recognized personality in both mathematics (there are countless functions and concepts that bear his name) and literature, it is natural that the volume of writings about his research is huge. What we try to do with this encyclopedia is to gather together as much as we can both from Smarandache’s mathematical work and the works of many mathematicians around the world inspired by the Smarandache notions. We structured this book using numbered Definitions, Theorems, Conjectures, Notes and Comments, in order to facilitate an easier reading but also to facilitate references to a specific paragraph. We divided the Bibliography in two parts, Writings by Florentin Smarandache (indexed by the name of books and articles) and Writings on Smarandache notions (indexed by the name of authors). We treated, in this book, about 130 Smarandache type sequences, about 50 Smarandache type functions and many solved or open problems of number theory. We also have, at the end of this book, a proposal for a new Smarandache type notion, id est the concept of “a set of Smarandache-Coman divisors of order k of a composite positive integer n with m prime factors”, notion that seems to have promising applications, at a first glance at least in the study of absolute and relative Fermat pseudoprimes, Carmichael numbers and Poulet numbers. This encyclopedia is both for researchers that will have on hand a tool that will help them “navigate” in the universe of Smarandache type notions and for young math enthusiasts: many of them will be attached by this wonderful branch of mathematics, number theory, reading the works of Florentin Smarandache.

Download or read book Theta Constants Riemann Surfaces and the Modular Group written by Hershel M. Farkas and published by American Mathematical Soc.. This book was released on 2001 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are incredibly rich connections between classical analysis and number theory. For instance, analytic number theory contains many examples of asymptotic expressions derived from estimates for analytic functions, such as in the proof of the Prime Number Theorem. In combinatorial number theory, exact formulas for number-theoretic quantities are derived from relations between analytic functions. Elliptic functions, especially theta functions, are an important class of such functions in this context, which had been made clear already in Jacobi's Fundamenta nova. Theta functions are also classically connected with Riemann surfaces and with the modular group $\Gamma = \mathrm{PSL (2,\mathbb{Z )$, which provide another path for insights into number theory. Farkas and Kra, well-known masters of the theory of Riemann surfaces and the analysis of theta functions, uncover here interesting combinatorial identities by means of the function theory on Riemann surfaces related to the principal congruence subgroups $\Gamma(k)$. For instance, the authors use this approach to derive congruences discovered by Ramanujan for the partition function, with the main ingredient being the construction of the same function in more than one way. The authors also obtain a variant on Jacobi's famous result on the number of ways that an integer can be represented as a sum of four squares, replacing the squares by triangular numbers and, in the process, obtaining a cleaner result. The recent trend of applying the ideas and methods of algebraic geometry to the study of theta functions and number theory has resulted in great advances in the area. However, the authors choose to stay with the classical point of view. As a result, their statements and proofs are very concrete. In this book the mathematician familiar with the algebraic geometry approach to theta functions and number theory will find many interesting ideas as well as detailed explanations and derivations of new and old results. Highlights of the book include systematic studies of theta constant identities, uniformizations of surfaces represented by subgroups of the modular group, partition identities, and Fourier coefficients of automorphic functions. Prerequisites are a solid understanding of complex analysis, some familiarity with Riemann surfaces, Fuchsian groups, and elliptic functions, and an interest in number theory. The book contains summaries of some of the required material, particularly for theta functions and theta constants. Readers will find here a careful exposition of a classical point of view of analysis and number theory. Presented are numerous examples plus suggestions for research-level problems. The text is suitable for a graduate course or for independent reading.

Download or read book Scientific American written by and published by . This book was released on 1908 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Monthly magazine devoted to topics of general scientific interest.

Download or read book Start exam preparation with IDBI Assistant Manager Notes and MCQs written by Testbook and published by Testbook.com. This book was released on 2023-03-27 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solve these MCQs and study using these study notes to increase your chances of getting selected for the exam. Referring to the IDBI Assistant Manager notes and MCQs will help you ace the IDBI exam