An Electronic Companion to Calculus

An Electronic Companion to Calculus PDF Author: Keith J. Devlin
Publisher:
ISBN: 9781888902525
Category : Mathematics
Languages : en
Pages : 212

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Book Description

An Electronic Companion to Calculus

An Electronic Companion to Calculus PDF Author: Keith J. Devlin
Publisher:
ISBN: 9781888902525
Category : Mathematics
Languages : en
Pages : 212

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Book Description


An Electronic Companion to Precalculus

An Electronic Companion to Precalculus PDF Author: C. Patrick McKeague
Publisher:
ISBN: 9781580320016
Category : Functions
Languages : en
Pages : 310

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A Companion to Analysis

A Companion to Analysis PDF Author: Thomas William Körner
Publisher: American Mathematical Soc.
ISBN: 0821834479
Category : Mathematics
Languages : en
Pages : 608

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Book Description
This book not only provides a lot of solid information about real analysis, it also answers those questions which students want to ask but cannot figure how to formulate. To read this book is to spend time with one of the modern masters in the subject. --Steven G. Krantz, Washington University, St. Louis One of the major assets of the book is Korner's very personal writing style. By keeping his own engagement with the material continually in view, he invites the reader to a similarly high level of involvement. And the witty and erudite asides that are sprinkled throughout the book are a real pleasure. --Gerald Folland, University of Washingtion, Seattle Many students acquire knowledge of a large number of theorems and methods of calculus without being able to say how they hang together. This book provides such students with the coherent account that they need. A Companion to Analysis explains the problems which must be resolved in order to obtain a rigorous development of the calculus and shows the student how those problems are dealt with. Starting with the real line, it moves on to finite dimensional spaces and then to metric spaces. Readers who work through this text will be ready for such courses as measure theory, functional analysis, complex analysis and differential geometry. Moreover, they will be well on the road which leads from mathematics student to mathematician. Able and hard working students can use this book for independent study, or it can be used as the basis for an advanced undergraduate or elementary graduate course. An appendix contains a large number of accessible but non-routine problems to improve knowledge and technique.

A Mathematics Companion for Science and Engineering Students

A Mathematics Companion for Science and Engineering Students PDF Author: Jerome R. Breitenbach
Publisher: Oxford University Press
ISBN:
Category : Language Arts & Disciplines
Languages : en
Pages : 624

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Book Description
Designed for undergraduate students, A Mathematics Companion for Science and Engineering Students provides a valuable reference for a wide variety of topics in precalculus mathematics. The presentation is precise, accurate, and complete, with helpful comments throughout.

Mathematics: A Very Short Introduction

Mathematics: A Very Short Introduction PDF Author: Timothy Gowers
Publisher: Oxford Paperbacks
ISBN: 9780192853615
Category : Mathematics
Languages : en
Pages : 172

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Book Description
The aim of this volume is to explain the differences between research-level mathematics and the maths taught at school. Most differences are philosophical and the first few chapters are about general aspects of mathematical thought.

Mathematical Connections

Mathematical Connections PDF Author: Al Cuoco
Publisher: American Mathematical Soc.
ISBN: 1614441235
Category : Mathematics
Languages : en
Pages : 239

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Book Description
Mathematical Connections is about some of the topics that form the foundations for high school mathematics. It focuses on a closely knit collection of ideas that are at the intersection of algebra, arithmetic, combinatorics, geometry, and calculus. Most of the ideas are classical: methods for fitting polynomial functions to data, for summing powers of integers, for visualizing the iterates of a function defined on the complex plane, or for obtaining identities among entries in Pascal's triangle. Some of these ideas, previously considered quite advanced, have become tractable because of advances in computational technology. Others are just beautiful classical mathematics--topics that have fallen out of fashion and that deserve to be resurrected. While the book will appeal to many audiences, one of the primary audiences is high school teachers, both practicing and prospective. It can be used as a text for undergraduate or professional courses, and the design lends itself to self study. Of course, good mathematics for teaching is also good for many other uses, so readers of all persuasions can enjoy exploring some of the beautiful ideas presented in the pages of this book.

Mathematics for Machine Learning

Mathematics for Machine Learning PDF Author: Marc Peter Deisenroth
Publisher: Cambridge University Press
ISBN: 1108569323
Category : Computers
Languages : en
Pages : 392

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Book Description
The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics. These topics are traditionally taught in disparate courses, making it hard for data science or computer science students, or professionals, to efficiently learn the mathematics. This self-contained textbook bridges the gap between mathematical and machine learning texts, introducing the mathematical concepts with a minimum of prerequisites. It uses these concepts to derive four central machine learning methods: linear regression, principal component analysis, Gaussian mixture models and support vector machines. For students and others with a mathematical background, these derivations provide a starting point to machine learning texts. For those learning the mathematics for the first time, the methods help build intuition and practical experience with applying mathematical concepts. Every chapter includes worked examples and exercises to test understanding. Programming tutorials are offered on the book's web site.

Mathematica Companion for Finite Mathematics and Business Calculus

Mathematica Companion for Finite Mathematics and Business Calculus PDF Author: Fred E. Szabo
Publisher:
ISBN: 9781465282323
Category :
Languages : en
Pages :

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Calculus, Student Study and Solutions Companion

Calculus, Student Study and Solutions Companion PDF Author: Brian E. Blank
Publisher: Wiley
ISBN: 9780470412824
Category : Mathematics
Languages : en
Pages : 0

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Book Description


How to Think Like a Mathematician

How to Think Like a Mathematician PDF Author: Kevin Houston
Publisher: Cambridge University Press
ISBN: 1139477056
Category : Mathematics
Languages : en
Pages : 341

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Book Description
Looking for a head start in your undergraduate degree in mathematics? Maybe you've already started your degree and feel bewildered by the subject you previously loved? Don't panic! This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method, cases, induction, contradiction and contrapositive - are featured. Concrete examples are used throughout, and you'll get plenty of practice on topics common to many courses such as divisors, Euclidean algorithms, modular arithmetic, equivalence relations, and injectivity and surjectivity of functions. The material has been tested by real students over many years so all the essentials are covered. With over 300 exercises to help you test your progress, you'll soon learn how to think like a mathematician.