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Introductory Mathematics Algebra And Analysis

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Introductory Mathematics Algebra And Analysis

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Author : Geoffrey C. Smith
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-02-02

Introductory Mathematics Algebra And Analysis written by Geoffrey C. Smith 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 2000-02-02 with Mathematics categories.

This text provides a lively introduction to pure mathematics. It begins with sets, functions and relations, proof by induction and contradiction, complex numbers, vectors and matrices, and provides a brief introduction to group theory. It moves onto analysis, providing a gentle introduction to epsilon-delta technology and finishes with continuity and functions. The book features numerous exercises of varying difficulty throughout the text.

Introductory Mathematics Algebra And Analysis

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Author : Geoffrey C. Smith
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Mathematical Analysis

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Author : Andrew Browder
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Mathematical Analysis written by Andrew Browder 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 2012-12-06 with Mathematics categories.

This is a textbook suitable for a year-long course in analysis at the ad vanced undergraduate or possibly beginning-graduate level. It is intended for students with a strong background in calculus and linear algebra, and a strong motivation to learn mathematics for its own sake. At this stage of their education, such students are generally given a course in abstract algebra, and a course in analysis, which give the fundamentals of these two areas, as mathematicians today conceive them. Mathematics is now a subject splintered into many specialties and sub specialties, but most of it can be placed roughly into three categories: al gebra, geometry, and analysis. In fact, almost all mathematics done today is a mixture of algebra, geometry and analysis, and some of the most in teresting results are obtained by the application of analysis to algebra, say, or geometry to analysis, in a fresh and surprising way. What then do these categories signify? Algebra is the mathematics that arises from the ancient experiences of addition and multiplication of whole numbers; it deals with the finite and discrete. Geometry is the mathematics that grows out of spatial experience; it is concerned with shape and form, and with measur ing, where algebra deals with counting.

Introductory Mathematics Applications And Methods

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Author : Gordon S. Marshall
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Introductory Mathematics Applications And Methods written by Gordon S. Marshall 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 2012-12-06 with Mathematics categories.

This book is aimed at undergraduate students embarking on the first year of a modular mathematics degree course. It is a self-contained textbook making it ideally suited to distance learning and a useful reference source for courses with the traditional lecture/tutorial structure. The theoretical content is firmly based but the principal focus is on techniques and applications. The important aims and objectives are presented clearly and then reinforced using complete worked solutions within the text. There is a natural increase in difficulty and understanding as each chapter progresses, always building upon the basic elements. It is assumed that the reader has studied elementary calculus at Advanced level and is at least familiar with the concept of function and has been exposed to basic differentiation and integration techniques. Although these are covered in the book they are presented as a refresher course to jog the student's memory rather than to introduce the topic for the first time. The early chapters cover the topics of matrix algebra, vector algebra and com plex numbers in sufficient depth for the student to feel comfortable -when they reappear later in the book. Subsequent chapters then build upon the student's 'A' level knowledge in the area of real variable calculus, including partial differentiation and mUltiple inte grals. The concluding chapter on differential equations motivates the student's learning by consideration of applications taken from both physical and eco nomic contexts.

Introductory Mathematical Analysis

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Author : Ernest F. Haeussler
language : en
Publisher: Prentice Hall
Release Date : 2007

Introductory Mathematical Analysis written by Ernest F. Haeussler and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Business mathematics categories.

For courses in Mathematics for Business and Mathematical Methods in Business.This classic text continues to provide a mathematical foundation for students in business, economics, and the life and social sciences. Abundant applications cover such diverse areas as business, economics, biology, medicine, sociology, psychology, ecology, statistics, earth science, and archaeology. Its depth and completeness of coverage enables instructors to tailor their courses to students' needs. The authors frequently employ novel derivations that are not widespread in other books at this level. The Twelfth Edition has been updated to make the text even more student-friendly and easy to understand.

Abstract Algebra

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Author : Gregory T. Lee
language : en
Publisher: Springer
Release Date : 2018-04-13

Abstract Algebra written by Gregory T. Lee and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-13 with Mathematics categories.

This carefully written textbook offers a thorough introduction to abstract algebra, covering the fundamentals of groups, rings and fields. The first two chapters present preliminary topics such as properties of the integers and equivalence relations. The author then explores the first major algebraic structure, the group, progressing as far as the Sylow theorems and the classification of finite abelian groups. An introduction to ring theory follows, leading to a discussion of fields and polynomials that includes sections on splitting fields and the construction of finite fields. The final part contains applications to public key cryptography as well as classical straightedge and compass constructions. Explaining key topics at a gentle pace, this book is aimed at undergraduate students. It assumes no prior knowledge of the subject and contains over 500 exercises, half of which have detailed solutions provided.

A Concise Introduction To Pure Mathematics

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Author : Martin Liebeck
language : en
Publisher: CRC Press
Release Date : 2015-10-28

A Concise Introduction To Pure Mathematics written by Martin Liebeck and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-28 with Mathematics categories.

Accessible to all students with a sound background in high school mathematics, A Concise Introduction to Pure Mathematics, Fourth Edition presents some of the most fundamental and beautiful ideas in pure mathematics. It covers not only standard material but also many interesting topics not usually encountered at this level, such as the theory of solving cubic equations; Euler’s formula for the numbers of corners, edges, and faces of a solid object and the five Platonic solids; the use of prime numbers to encode and decode secret information; the theory of how to compare the sizes of two infinite sets; and the rigorous theory of limits and continuous functions. New to the Fourth Edition Two new chapters that serve as an introduction to abstract algebra via the theory of groups, covering abstract reasoning as well as many examples and applications New material on inequalities, counting methods, the inclusion-exclusion principle, and Euler’s phi function Numerous new exercises, with solutions to the odd-numbered ones Through careful explanations and examples, this popular textbook illustrates the power and beauty of basic mathematical concepts in number theory, discrete mathematics, analysis, and abstract algebra. Written in a rigorous yet accessible style, it continues to provide a robust bridge between high school and higher-level mathematics, enabling students to study more advanced courses in abstract algebra and analysis.

Introduction To Real Analysis

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Author : Michael J. Schramm
language : en
Publisher: Courier Corporation
Release Date : 2012-05-11

Introduction To Real Analysis written by Michael J. Schramm and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-11 with Mathematics categories.

This text forms a bridge between courses in calculus and real analysis. Suitable for advanced undergraduates and graduate students, it focuses on the construction of mathematical proofs. 1996 edition.

Introductory Mathematical Analysis For Quantitative Finance

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Author : Daniele Ritelli
language : en
Publisher: CRC Press
Release Date : 2020-04-13

Introductory Mathematical Analysis For Quantitative Finance written by Daniele Ritelli and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-13 with Mathematics categories.

Introductory Mathematical Analysis for Quantitative Finance is a textbook designed to enable students with little knowledge of mathematical analysis to fully engage with modern quantitative finance. A basic understanding of dimensional Calculus and Linear Algebra is assumed. The exposition of the topics is as concise as possible, since the chapters are intended to represent a preliminary contact with the mathematical concepts used in Quantitative Finance. The aim is that this book can be used as a basis for an intensive one-semester course. Features: Written with applications in mind, and maintaining mathematical rigor. Suitable for undergraduate or master's level students with an Economics or Management background. Complemented with various solved examples and exercises, to support the understanding of the subject.

Sets Models And Proofs

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Author : Ieke Moerdijk
language : en
Publisher: Springer
Release Date : 2018-11-23

Sets Models And Proofs written by Ieke Moerdijk and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-23 with Mathematics categories.

This textbook provides a concise and self-contained introduction to mathematical logic, with a focus on the fundamental topics in first-order logic and model theory. Including examples from several areas of mathematics (algebra, linear algebra and analysis), the book illustrates the relevance and usefulness of logic in the study of these subject areas. The authors start with an exposition of set theory and the axiom of choice as used in everyday mathematics. Proceeding at a gentle pace, they go on to present some of the first important results in model theory, followed by a careful exposition of Gentzen-style natural deduction and a detailed proof of Gödel’s completeness theorem for first-order logic. The book then explores the formal axiom system of Zermelo and Fraenkel before concluding with an extensive list of suggestions for further study. The present volume is primarily aimed at mathematics students who are already familiar with basic analysis, algebra and linear algebra. It contains numerous exercises of varying difficulty and can be used for self-study, though it is ideally suited as a text for a one-semester university course in the second or third year.

Introductory Mathematics Algebra And Analysis

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