A First Course in Modern Mathematics

A First Course in Modern Mathematics

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  • Author: Marie ANDERSON
  • Publisher:
  • ISBN: 9780435500184
  • Category :
  • Languages : en
  • Pages :


A First Course in Mathematical Analysis

A First Course in Mathematical Analysis

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  • Author: David Alexander Brannan
  • Publisher: Cambridge University Press
  • ISBN: 1139458957
  • Category : Mathematics
  • Languages : en
  • Pages : 103

Mathematical Analysis (often called Advanced Calculus) is generally found by students to be one of their hardest courses in Mathematics. This text uses the so-called sequential approach to continuity, differentiability and integration to make it easier to understand the subject.Topics that are generally glossed over in the standard Calculus courses are given careful study here. For example, what exactly is a 'continuous' function? And how exactly can one give a careful definition of 'integral'? The latter question is often one of the mysterious points in a Calculus course - and it is quite difficult to give a rigorous treatment of integration! The text has a large number of diagrams and helpful margin notes; and uses many graded examples and exercises, often with complete solutions, to guide students through the tricky points. It is suitable for self-study or use in parallel with a standard university course on the subject.


A First Course in Modern Mathematics

A First Course in Modern Mathematics

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  • Author: Marie Anderson (B. SC.)
  • Publisher: Heinemann Educational Publishers
  • ISBN: 9780435500146
  • Category : Mathematics
  • Languages : en
  • Pages : 165


A First Course in Modern Mathematics. [With Answers.].

A First Course in Modern Mathematics. [With Answers.].

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  • Author:
  • Publisher:
  • ISBN:
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  • Languages : en
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A First Course in Mathematical Modeling

A First Course in Mathematical Modeling

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  • Author: Frank R. Giordano
  • Publisher: Thomson Brooks/Cole
  • ISBN: 9781285077499
  • Category : Mathematical models
  • Languages : en
  • Pages : 676

Offering a solid introduction to the entire modeling process, A FIRST COURSE IN MATHEMATICAL MODELING, 5E, International Edition delivers an excellent balance of theory and practice, giving students hands-on experience developing and sharpening their skills in the modeling process. Throughout the book, students practice key facets of modeling, including creative and empirical model construction, model analysis, and model research. The authors apply a proven six-step problem-solving process to enhance students’ problem-solving capabilities — whatever their level. Rather than simply emphasizing the calculation step, the authors first ensure that students learn how to identify problems, construct or select models, and figure out what data needs to be collected. By involving students in the mathematical process as early as possible — beginning with short projects — the book facilitates their progressive development and confidence in mathematics and modeling.


Concise Modern Mathematics

Concise Modern Mathematics

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  • Author: David Galpin Munir
  • Publisher: Twayne Publishers
  • ISBN: 9780902378049
  • Category : Mathematics
  • Languages : en
  • Pages : 337


A Course in Modern Mathematical Physics

A Course in Modern Mathematical Physics

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  • Author: Peter Szekeres
  • Publisher: Cambridge University Press
  • ISBN: 9780521829601
  • Category : Mathematics
  • Languages : en
  • Pages : 620

This textbook, first published in 2004, provides an introduction to the major mathematical structures used in physics today.


A Course of Modern Analysis

A Course of Modern Analysis

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  • Author: E. T. Whittaker
  • Publisher: Cambridge University Press
  • ISBN: 1009008595
  • Category : Mathematics
  • Languages : en
  • Pages :

This classic work has been a unique resource for thousands of mathematicians, scientists and engineers since its first appearance in 1902. Never out of print, its continuing value lies in its thorough and exhaustive treatment of special functions of mathematical physics and the analysis of differential equations from which they emerge. The book also is of historical value as it was the first book in English to introduce the then modern methods of complex analysis. This fifth edition preserves the style and content of the original, but it has been supplemented with more recent results and references where appropriate. All the formulas have been checked and many corrections made. A complete bibliographical search has been conducted to present the references in modern form for ease of use. A new foreword by Professor S.J. Patterson sketches the circumstances of the book's genesis and explains the reasons for its longevity. A welcome addition to any mathematician's bookshelf, this will allow a whole new generation to experience the beauty contained in this text.


A First Course in Real Analysis

A First Course in Real Analysis

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  • Author: Sterling K. Berberian
  • Publisher: Springer Science & Business Media
  • ISBN: 1441985484
  • Category : Mathematics
  • Languages : en
  • Pages : 249

Mathematics is the music of science, and real analysis is the Bach of mathematics. There are many other foolish things I could say about the subject of this book, but the foregoing will give the reader an idea of where my heart lies. The present book was written to support a first course in real analysis, normally taken after a year of elementary calculus. Real analysis is, roughly speaking, the modern setting for Calculus, "real" alluding to the field of real numbers that underlies it all. At center stage are functions, defined and taking values in sets of real numbers or in sets (the plane, 3-space, etc.) readily derived from the real numbers; a first course in real analysis traditionally places the emphasis on real-valued functions defined on sets of real numbers. The agenda for the course: (1) start with the axioms for the field ofreal numbers, (2) build, in one semester and with appropriate rigor, the foun dations of calculus (including the "Fundamental Theorem"), and, along the way, (3) develop those skills and attitudes that enable us to continue learning mathematics on our own. Three decades of experience with the exercise have not diminished my astonishment that it can be done.


The History of Mathematics

The History of Mathematics

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  • Author: Roger L. Cooke
  • Publisher: John Wiley & Sons
  • ISBN: 1118030249
  • Category : Mathematics
  • Languages : en
  • Pages : 632

This new edition brings the fascinating and intriguing historyof mathematics to life The Second Edition of this internationally acclaimed text hasbeen thoroughly revised, updated, and reorganized to give readers afresh perspective on the evolution of mathematics. Written by oneof the world's leading experts on the history of mathematics, thebook details the key historical developments in the field,providing an understanding and appreciation of how mathematicsinfluences today's science, art, music, literature, andsociety. In the first edition, each chapter was devoted to a singleculture. This Second Edition is organized by subject matter: ageneral survey of mathematics in many cultures, arithmetic,geometry, algebra, analysis, and mathematical inference. This neworganization enables students to focus on one complete topic and,at the same time, compare how different cultures approached eachtopic. Many new photographs and diagrams have been added to thisedition to enhance the presentation. The text is divided into seven parts: The World of Mathematics and the Mathematics of the World,including the origin and prehistory of mathematics, culturalsurveys, and women mathematicians Numbers, including counting, calculation, ancient numbertheory, and numbers and number theory in modern mathematics Color Plates, illustrating the impact of mathematics oncivilizations from Egypt to Japan to Mexico to modern Europe Space, including measurement, Euclidean geometry,post-Euclidean geometry, and modern geometrics Algebra, including problems leading to algebra, equations andmethods, and modern algebra Analysis, including the calculus, real, and complexanalysis Mathematical Inference, including probability and statistics,and logic and set theory As readers progress through the text, they learn about theevolution of each topic, how different cultures devised their ownsolutions, and how these solutions enabled the cultures to developand progress. In addition, readers will meet some of the greatestmathematicians of the ages, who helped lay the groundwork fortoday's science and technology. The book's lively approach makes it appropriate for anyoneinterested in learning how the field of mathematics came to be whatit is today. It can also serve as a textbook for undergraduate orgraduate-level courses. An Instructor's Manual presenting detailedsolutions to all the problems in the book is available upon requestfrom the Wiley editorial department.