Mathematics category


There are three kinds of lies: lies, damned lies, and statistics." We contend that statistics are not a type of lie, but rather, when used carefully, are an alternative to lying. For this reason, we use "or" in the title of this book, where Twain/Disraeli used "and," to underline how we are thinking of statistics, correctly applied, as standing in opposition to lies and damned lies. But why use such a complicated method of telling the truth as statistics, rather than, say, telling a good story or painting a moving picture? The answer, we believe, is simply that there are many concrete, specific questions that humans have about the world which are best answered by carefully collecting some data and using a modest amount of mathematics and a fair bit of logic to analyze them. The thing about the Scientific Method is that it just seems to work. So why not learn how to use it? Learning better techniques of critical thinking seems particularly important at this moment of history when our politics in the United States (and elsewhere) are so divisive, and different parties cannot agree about the most basic facts. A lot of commentators from all parts of the political spectrum have speculated about the impact of so-called fake news on the outcomes of recent recent elections and other political debates. It is therefore the goal of this book to help you learn How to Tell the Truth with Statistics and, therefore, how to tell when others are telling the truth ... or are faking their "news."

published on 11-11-2019 - 48 views
An introduction to Lie groups and Lie algebras

This classic graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. The material covered ranges from basic definitions of Lie groups to the classification of finite-dimensional representations of semisimple Lie algebras. Lie theory, in its own right, has become regarded as a classical branch of mathematics. Written in an informal style, this is a contemporary introduction to the subject which emphasizes the main concepts of the proofs and outlines the necessary technical details, allowing the material to be conveyed concisely. Based on a lecture course given by the author at the State University of New York at Stony Brook, the book includes numerous exercises and worked examples and is ideal for graduate courses on Lie groups and Lie algebras.

published on 10-11-2019 - 42 views
Matrices: Theory and Applications

In this book, Denis Serre begins by providing a clean and concise introduction to the basic theory of matrices. He then goes on to give many interesting applications of matrices to different aspects of mathematics and also other areas of science and engineering. The book mixes together algebra, analysis, complexity theory and numerical analysis. As such, this book will provide many scientists, not just mathematicians, with a useful and reliable reference. It is intended for advanced undergraduate and graduate students with either applied or theoretical goals. This book is based on a course given by the author at the Ecole Normale SupÃcrieure de Lyon. Denis Serre is Professor of Mathematics at Ecole Normale SupÃcrieure de Lyon and a former member of the Institut Universaire de France. He is a member of numerous editorial boards and the author of Systems of Conservation Laws (Cambridge University Press 2000). The present book is a translation of the original French edition, Les Matrices: ThÃcorie et Pratique, published by Dunod (2001).

published on 10-11-2019 - 29 views
Advanced linear algebra

Advanced linear algebra by Roman S. Advanced linear algebra ebook by Roman S. Advanced linear algebra ebook by Roman S.

published on 10-11-2019 - 50 views
Linear algebra: for everyone

This book provides students with the rudiments of Linear Algebra, a fundamental subject for students in all areas of science and technology. The book would also be good for statistics students studying linear algebra. It is the translation of a successful textbook currently being used in Italy. The author is a mathematician sensitive to the needs of a general audience. In addition to introducing fundamental ideas in Linear Algebra through a wide variety of interesting examples, the book also discusses topics not usually covered in an elementary text (e.g. the "cost" of operations, generalized inverses, approximate solutions). The challenge is to show why the "everyone" in the title can find Linear Algebra useful and easy to learn. The translation has been prepared by a native English speaking mathematician, Professor Anthony V. Geramita.

published on 10-11-2019 - 31 views
An Introduction to Linear Algebra

The techniques of linear algebra are used extensively across the applied sciences, and in many different areas of algebra such as group theory, module theory, representation theory, ring theory, and Galois theory. Written by experienced researchers with a decades of teaching experience, Introduction to Linear Algebra is a clear and rigorous introductory text on this key topic for students of both applied sciences and pure mathematics.

published on 10-11-2019 - 39 views
Introduction to algebraic geometry

Algebraic geometry, central to pure mathematics, has important applications in such fields as engineering, computer science, statistics and computational biology, which exploit the computational algorithms that the theory provides. Users get the full benefit, however, when they know something of the underlying theory, as well as basic procedures and facts. This book is a systematic introduction to the central concepts of algebraic geometry most useful for computation. Written for advanced undergraduate and graduate students in mathematics and researchers in application areas, it focuses on specific examples and restricts development of formalism to what is needed to address these examples. In particular, it introduces the notion of Gröbner bases early on and develops algorithms for almost everything covered. It is based on courses given over the past five years in a large interdisciplinary programme in computational algebraic geometry at Rice University, spanning mathematics, computer science, biomathematics and bioinformatics.

published on 09-11-2019 - 26 views
Algebraic Geometry and Statistical Learning Theory

Algebraic Geometry and Statistical Learning Theory ebook Algebraic Geometry and Statistical Learning Theory ebook Algebraic Geometry and Statistical Learning Theory ebook

published on 09-11-2019 - 20 views
Algebra. Fields and Galois Theory

From Math Reviews: "This is a charming textbook, introducing the reader to the classical parts of algebra. The exposition is admirably clear and lucidly written with only minimal prerequisites from linear algebra. The new concepts are, at least in the first part of the book, defined in the framework of the development of carefully selected problems. Thus, for instance, the transformation of the classical geometrical problems on constructions with ruler and compass in their algebraic setting in the first chapter introduces the reader spontaneously to such fundamental algebraic notions as field extension, the degree of an extension, etc... The book ends with an appendix containing exercises and notes on the previous parts of the book. However, brief historical comments and suggestions for further reading are also scattered through the text."

published on 09-11-2019 - 21 views
A Guide to Advanced Linear Algebra

Linear algebra occupies a central place in modern mathematics. This book provides a rigorous and thorough development of linear algebra at an advanced level, and is directed at graduate students and professional mathematicians. It approaches linear algebra from an algebraic point of view, but its selection of topics is governed not only for their importance in linear algebra itself, but also for their applications throughout mathematics. Students in algebra, analysis, and topology will find much of interest and use to them, and the careful treatment and breadth of subject matter will make this book a valuable reference for mathematicians throughout their professional lives.

published on 09-11-2019 - 19 views
Algebraic Curves: An Introduction to Algebraic Geometry

Since I continue to hear from young algebraic geometers who used this as their first text, I am glad now to make this edition available without charge to anyone interested. I am most grateful to Kwankyu Lee for making a careful LaTeX version, which was the basis of this edition; thanks also to Eugene Eisenstein for help with the graphics.

published on 09-11-2019 - 15 views
Integers, Polynomials, and Rings: A Course in Algebra

Mathematics is often regarded as the study of calculation, but in fact, mathematics is much more. It combines creativity and logic in order to arrive at abstract truths. This book is intended to illustrate how calculation, creativity, and logic can be combined to solve a range of problems in algebra. Originally conceived as a text for a course for future secondary-school mathematics teachers, this book has developed into one that could serve well in an undergraduate course in abstract algebra or a course designed as an introduction to higher mathematics. Not all topics in a traditional algebra course are covered. Rather, the author focuses on integers, polynomials, their ring structure, and fields, with the aim that students master a small number of serious mathematical ideas. The topics studied should be of interest to all mathematics students and are especially appropriate for future teachers.

published on 08-11-2019 - 40 views
Bob Miller's Basic Math and Pre-Algebra for the Clueless

With Bob Miller at your side, you never have to be clueless about math again!Algebra and calculus are tough on high school students like you. Professor Bob Miller, with more than 30 years' teaching experience, is a master at making the complex simple, and his now-classic series of Clueless study aids has helped tens of thousands understand the tough subjects.Bob Miller expands on the previous edition for basic math and pre-algebra students, with new material designed to boost understanding and grades. Miller breaks open the tougher areas of mathematics so you can master the materials and ace every test.

published on 08-11-2019 - 18 views
Linear Algebra Done Right

This text for a second course in linear algebra is aimed at math majors and graduate students. The novel approach taken here banishes determinants to the end of the book and focuses on the central goal of linear algebra: understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents--without having defined determinants--a clean proof that every linear operator on a finite- dimensional complex vector space (or an odd-dimensional real vector space) has an eigenvalue. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. No prerequisites are assumed other than the usual demand for suitable mathematical maturity. Thus, the text starts by discussing vector spaces, linear independence, span, basis, and dimension. Students are introduced to inner-product spaces in the first half of the book and shortly thereafter to the finite-dimensional spectral theorem. This second edition includes a new section on orthogonal projections and minimization problems. The sections on self-adjoint operators, normal operators, and the spectral theorem have been rewritten. New examples and new exercises have been added, several proofs have been simplified, and hundreds of minor improvements have been made throughout the text.

published on 08-11-2019 - 22 views
Abstract Algebra: A Study Guide for Beginners

I first taught an abstract algebra course in 1968. using Hcrstein's Topics in Algebra. It's hard to improve on his book; the subject may have become broader, with applications to computing and other areas, but Topics contains the core of any course. Unfortunately, the subject hasn't become any easier, so students meeting abstract algebra still struggle to learn the new concepts, especially since they are probably still learning how to write their own proofs.This "study guide" is intended to help students who are beginning to learn about abstract algebra. Instead of just expanding the material that is already written down in our textbook, I decided to try to teach by example, by writing out solutions to problems. I've tried to choose problems that would be instructive, and in quite a few cases I've included comments to help the reader see what is really going on. Of course, this study guide isn't a substitute for a good teacher, or for the chance to work together with other students on some hard problems.Finally. I would like to gratefully acknowledge the support of Northern Illinois University while writing this study guide. As part of the recognition as a "Presidential Teaching Professor," I was given leave in Spring 2000 to work on projects related to teaching.

published on 08-11-2019 - 31 views
Applications of Abstract Algebra with MAPLE

The mathematical concepts of abstract algebra may indeed be considered abstract, but its utility is quite concrete and continues to grow in importance. Unfortunately, the practical application of abstract algebra typically involves extensive and cumbersome calculations-often frustrating even the most dedicated attempts to appreciate and employ its intricacies. Now, however, sophisticated mathematical software packages help obviate the need for heavy number-crunching and make fields dependent on the algebra more interesting-and more accessible.Applications of Abstract Algebra with Maple opens the door to cryptography, coding, Polya counting theory, and the many other areas dependent on abstract algebra. The authors have carefully integrated Maple V throughout the text, enabling readers to see realistic examples of the topics discussed without struggling with the computations. But the book stands well on its own if the reader does not have access to the software.The text includes a first-chapter review of the mathematics required-groups, rings, and finite fields-and a Maple tutorial in the appendix along with detailed treatments of coding, cryptography, and Polya theory applications.Applications of Abstract Algebra with Maple packs a double punch for those interested in beginning-or advancing-careers related to the applications of abstract algebra. It not only provides an in-depth introduction to the fascinating, real-world problems to which the algebra applies, it offers readers the opportunity to gain experience in using one of the leading and most respected mathematical software packages available.

published on 08-11-2019 - 27 views
Probabilités exercices corrigés

Cours de Probabilités et exercices corrigés, Dénombrement , Caractérisation d'une loi de probabilité ......

published on 06-11-2019 - 28 views
A Polynomial Approach to Linear Algebra

A Polynomial Approach to Linear Algebra is a text which is heavily biased towards functional methods. In using the shift operator as a central object, it makes linear algebra a perfect introduction to other areas of mathematics, operator theory in particular. This technique is very powerful as becomes clear from the analysis of canonical forms (Frobenius, Jordan). It should be emphasized that these functional methods are not only of great theoretical interest, but lead to computational algorithms. Quadratic forms are treated from the same perspective, with emphasis on the important examples of Bezoutian and Hankel forms. These topics are of great importance in applied areas such as signal processing, numerical linear algebra, and control theory. Stability theory and system theoretic concepts, up to realization theory, are treated as an integral part of linear algebra.

published on 06-11-2019 - 22 views
Pre-Algebra Essentials For Dummies (For Dummies (Math & Science))

Many students worry about starting algebra. Pre-Algebra Essentials For Dummies provides an overview of critical pre-algebra concepts to help new algebra students (and their parents) take the next step without fear. Free of ramp-up material, Pre-Algebra Essentials For Dummies contains content focused on key topics only. It provides discrete explanations of critical concepts taught in a typical pre-algebra course, from fractions, decimals, and percents to scientific notation and simple variable equations. This guide is also a perfect reference for parents who need to review critical pre-algebra concepts as they help students with homework assignments, as well as for adult learners headed back into the classroom who just need to a refresher of the core concepts.

published on 06-11-2019 - 27 views
Math for Real Life: Teaching Practical Uses for Algebra, Geometry and Trigonometry

"Where are we ever going to use this?" Every high school math student has asked this question. Often teachers themselves aren't sure how to respond. One answer is that higher mathematics learned in high school will be essential to learning yet more at the college level. A more satisfactory answer calls for an awareness of how math is applied in many specific areas. Written primarily for teachers, this book presents hundreds of practical applications for mathematics--from baseball statistics to the theory of relativity--that can be understood by anyone with a knowledge of high school algebra, geometry and trigonometry.

published on 06-11-2019 - 22 views
Tensor algebra and tensor analysis for engineers

There is a large gap between the engineering course in tensor algebra on the one hand and the treatment of linear transformations within classical linear algebra on the other hand. The aim of the book is to bridge this gap by means of the consequent and fundamental exposition. The book is addressed primarily to engineering students with some initial knowledge of matrix algebra. Thereby the mathematical formalism is applied as far as it is absolutely necessary. Numerous exercises provided in the book are accompanied by solutions enabling an autonomous study. The last chapters of the book deal with modern developments in the theory of isotropic an anisotropic tensor functions and their applications to continuum mechanics and might therefore be of high interest for PhD-students and scientists working in this area.

published on 06-11-2019 - 21 views
Probabilités continues et lois à densité

Cours de probabilités continues et lois à densité, variable aléatoire continue, Loi normale centrée réduite ( Exercices & Solution) ...

published on 05-11-2019 - 32 views

How to derive functions? Here is a bunch of basic functions and the basic ruling from constant to logarithmic functions.

published on 04-11-2019 - 29 views
Introduction to Complex Numbers

The study of functions of Complex Variables is a very important part of modern mathematics, as well both basic and applied physics. At university you are introduced to some important applications of Complex Numbers beginning in your first year when studying periodic motion. In the second and subsequent years an understanding of Complex Numbers becomes important in classical and quantum mechanics, as well as in applied physics. I very much doubt you can avoid Complex Numbers past your second year at university.

published on 26-10-2019 - 71 views
Deep Time Series Forecasting with Python: An Intuitive Introduction to Deep Learning for Applied Tim

Master Deep Time Series Forecasting with Python! Deep Time Series Forecasting with Python takes you on a gentle, fun and unhurried practical journey to creating deep neural network models for time series forecasting with Python. It uses plain language rather than mathematics; And is designed for working professionals, office workers, economists, business analysts and computer users who want to try deep learning on their own time series data using Python. QUICK AND EASY: Using plain language, this book offers a simple, intuitive, practical, non-mathematical, easy to follow guide to the most successful ideas, outstanding techniques and usable solutions available using Python. Examples are clearly described and can be typed directly into Python as printed on the page.

published on 26-10-2019 - 88 views
اسم الكتاب: حل إمتحان الرياضيات - الصف الثالث الثانوي العلمي - المنهاج الحديث - سورية الدورة الثاني

اسم الكتاب: حل إمتحان الرياضيات - الصف الثالث الثانوي العلمي - المنهاج الحديث - سورية الدورة الثانية 2017 اسم الكاتب: سام علي حمدان نوع ملف الكتاب: pdf حجم الكتاب: 1.03 ميجا التصنيفات: كتب رياضيات وإحصاء

published on 26-10-2019 - 66 views
أبحاث فى الرياضيات الهندسية

اسم الكتاب: أبحاث فى الرياضيات الهندسية اسم الكاتب: غير معروف نوع ملف الكتاب: pdf حجم الكتاب: 270.87 كيلو بايت التصنيفات: كتب رياضيات وإحصاء

published on 26-10-2019 - 56 views
علم الإحصاء

اسم الكتاب: علم الإحصاء اسم الكاتب: ديفيد جيه هاند نوع ملف الكتاب: pdf حجم الكتاب: 1.39 ميجا بايت التصنيفات: كتب رياضيات وإحصاء

published on 26-10-2019 - 56 views