Little Mathematics Library – The Method of Mathematical Induction

In the Little Mathematics Library we now come to the book called The Method of Mathematical Induction by I. S. Sominsky (aka Sominskii).

In the foreword it is said:

The method of mathematical induction, which is the subject of this book, is widely applicable in all departments of mathematics, from the elementary school course up to branches of higher mathematics only lately investigated. It is clear, therefore, that even a school course of mathematics cannot be studied seriously without mastering this method. Ideas of mathematical induction, moreover, have a wide general significance and acquaintance with them also has an importance for those whose interests are far removed from mathematics and its applications.

This book is meant for pupils in the higher forms of secondary schools, first year students in universities, teacher training colleges and technical colleges. It would also be useful for discussion in a school mathematical society.

The book was translated from Russian by Martin Greendlinger and was first published by Mir in 1975. Previous to that this booklet was also published in the West under the series of Topics in Mathematics (TiM) and also under Popular Lectures in Mathematics (PLM) Vol. 1. The link below is from the PLM version and was translated by Halina Moss, and was edited by I. N. Sneddon ans was published by Pergamon in 1961.

The essentials of the method and some simple examples of its use are given in Chapter I and in the first section of Chapter II. To study these it is sufficient for the reader to be familiar with the course of mathematics in the seven year school period. The remaining sections of this book are fully accessible to the reader who has mastered the mathematics course of a full secondary school.

All credits to the original uploader.

Update: 11 December 2015 | Added Internet Archive Link

You can get the book here.

Update: 10 October 2021 | Added PLM Link

The book was also published as a part of Popular Lectures in Mathematics series in 1961.

PLM version here.


Foreword vii


The Method of Mathematical Induction 3

Examples and Exercises  12

The Proof by Induction of Some Theorems of Elementary Algebra 39

Solutions 45

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10 Responses to Little Mathematics Library – The Method of Mathematical Induction

  1. somen says:

    hi damitr,
    Eagerly waiting for another post.


  2. Mr,DVD Pillai says:

    Have you stopped this blog?


  3. Mr,DVD Pillai says:

    I am glad to know this.By the way,how many titles are left?


  4. somen says:

    damitr,when u will start posting new post.


    • damitr says:

      Sorry for keep you all waiting. I was super-duper busy last couple of weeks. Now have some breather, will start posting this week, and try to finish the LML this month. Along with LML we will also try to finish, Topics in Mathematics (TiM) and Popular Lectures in Mathematics (PLM) which were like predecessors of LML in the West.


  5. sanits591 says:

    We are anxiously waiting for the new ones (Physics, Mathematics, Chemistry), literally i do open this website at least 10 times in a day for the new posts useful for all of us.

    Please do post regularly, so that we can earn benefits from your good deeds.



  6. Ahmed says:

    Hello damitr,
    I came with a little gift here is some links: (I am sorry i don’t have direct link please type in search box Mir Publishers ) (Single book source “”)

    By the way may you add books from Scientists to Schoolchildren series , It’s interesting series. We called in arabic Student library series (Translators and what they do!)


  7. The Mitr says:

    Update: 11 December 2015 | Added Internet Archive Link


  8. Pingback: Little Mathematics Library | Yassin Balcha

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