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A Guide Book to Mathematics

Fundamental Formulas · Tables · Graphs · Methods

  • Authors
  • I. N. Bronshtein
  • K. A. Semendyayev

Table of contents

  1. Front Matter
    Pages 1-16
  2. Tables and Graphs

    1. I. N. Bronshtein, K. A. Semendyayev
      Pages 17-95
    2. I. N. Bronshtein, K. A. Semendyayev
      Pages 96-131
  3. Elementary Mathematics

    1. I. N. Bronshtein, K. A. Semendyayev
      Pages 133-146
    2. I. N. Bronshtein, K. A. Semendyayev
      Pages 147-194
    3. I. N. Bronshtein, K. A. Semendyayev
      Pages 195-211
    4. I. N. Bronshtein, K. A. Semendyayev
      Pages 212-234
  4. Analytic and Differential Geometry

    1. I. N. Bronshtein, K. A. Semendyayev
      Pages 235-276
    2. I. N. Bronshtein, K. A. Semendyayev
      Pages 277-313
  5. Foundations of Mathematical Analysis

    1. I. N. Bronshtein, K. A. Semendyayev
      Pages 315-359
    2. I. N. Bronshtein, K. A. Semendyayev
      Pages 360-392
    3. I. N. Bronshtein, K. A. Semendyayev
      Pages 393-513
    4. I. N. Bronshtein, K. A. Semendyayev
      Pages 514-583
  6. Supplementary Chapters on Analysis

    1. I. N. Bronshtein, K. A. Semendyayev
      Pages 585-612
    2. I. N. Bronshtein, K. A. Semendyayev
      Pages 613-649
    3. I. N. Bronshtein, K. A. Semendyayev
      Pages 650-681
    4. I. N. Bronshtein, K. A. Semendyayev
      Pages 682-726
    5. I. N. Bronshtein, K. A. Semendyayev
      Pages 727-741
  7. Interpretation of Experimental Results

    1. I. N. Bronshtein, K. A. Semendyayev
      Pages 743-753
    2. I. N. Bronshtein, K. A. Semendyayev
      Pages 754-770
  8. Back Matter
    Pages 771-783

About this book

Introduction

TO THE FIRST RUSSIAN EDITION It was a very difficult task to write a guide-book of a small size designed to contain the fundamental knowledge of mathema­ tics which is most necessary to engineers and students of higher technical schools. In our tendency to the compactness and brevity of the exposition, we attempted, however, to produce a guide-book which would be easy to understand, convenient to use and as accurate as possible (as much as it is required in engineering). It should be pointed out that this book is neither a handbook nor a compendium, but a guide-book. Therefore it is not written as systematically as a handbook should be written. Hence the reader should not be surprised to find, for example, I'HOpital's rule in the section devoted to computation of limits which is a part of the chapter "Introduction to the analysis" placed before the concept of the derivative, or information about the Gamma function in the chapter "Algebra"-just after the concept of the factorial. There are many such "imperfections" in the book. Thus a reader who wants to acquire certain information is advised to use not only the table of contents but also the alpha­ betical index inserted at the end of the book. If a problem mentioned in the text is explained in detail in another place of the book, then the corresponding page is indicated in a footnote.

Keywords

Mathematica algebra approximation calculus derivative differential equation equation function geometry identity integral calculus limit of a function mathematics theorem variable

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