Higher Maths for Beginners – Zeldovich, Yaglom

The book in this post is one of the best introductory books for Higher Mathematics and it has been written by two exceptionally talented people, namely, Yakov B. Zeldovich and Issak M. Yaglom. Just visit the wikipedia pages to see their achievements. If only all the outstanding people in their fields wrote books at popular level, we would be living in a different world. The complete title of the book reads Higher Maths for Beginners (Mostly Engineers and Scientists).

This book is a joint attempt of a physicist and a mathematician to write an entirely new type of book for future scientists and engineers.

The purpose of this book is to enable the future physicist (chemist, engineer etc.) to use higher mathematics in his or her work by mastering its methods without going into full logical substantiation of them, allowing the student to view mathematics as a section of natural sciences and to solve as many concrete  problems as possible.

This book is intended for beginners, that is, for high-school students in the upper grades, students of trade schools and vocational schools, and students in the first years of college. We also have in mind anyone who by himself wishes to become better acquainted with higher mathematics, say, people who finished school some years ago

The book was translated from the Russian by Eugene Yankovsky and was first published by Mir in 1987.

You can get the book here and here.

All credits to the original uploader.

Update: Posted Internet Archive Link 03 December 2015

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Did You Say Mathematics?

We have seen one book by Yakov Khurgin previously in the Science for Everyone series named Yes, No  Or Maybe . Now we come to another book by him with the title Did You Say Mathematics?

The back cover of the book says about the author:

Dr. Yakov Khurgin is professor of mathematics at the Chair of Applied Mathematics at the Gubkin Institute of the Petrolium and Gas Industry. He has written over a hundred scientific papers in pure and applied mathematics and has been particularly productive in the fields of  radioengineering, radiophysics, cybernetics, neurophysiology and psychiatry. At the present time, Professor Khurgin heads the laboratory of applied mathematics. He is also a  member of the USSR National Committee of Automatic Control.

His extensive knowledge and wide range of activities have helped to make his popular-science book a great success.

And the book itself is described by the author in a section titled One last word to the reader:

In the chapters that follow I will attempt to tell the story of mathematics and weave into an integral whole the various discussions I have had with my non-mathematical friends.

This will be a story of mathematics in popular language so that the non-mathematician will see what it is all about. This is not a course in mathematics but merely a series of sketches concerning ideas and
methods. There will be no proofs to carry out and no need for paper and pencil. What I want to do is sketch a picture of the development of mathematics and show what mathematicians are presently engaged
in—to some extent.

This book is true indeed a popular exposition of many concepts in mathematics. The book was translated from the Russian by George Yankovsky and was first published by Mir in 1974 and republished in 1984. Thanks to gnv64 for this one!

The Internet Archive Link

and here

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Updates…

The links for following books have been reloaded:

Lobachevskian Geometry

Method of Successive Approximations

Post’s Machine

Proof In Geometry

Stereographic Projection

The Method of Mathematical Induction

Pascal’s Triangle

Let’s Play Geometry

Let me know if they are working okay.

Password, if needed: mirtitles

PS: Also updated links for

The Monte Carlo Method

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ABC of Plasma Physics

We now come to another series of books the ABC of … series. One of the first books that I had read of this series was ABC of Quantum Mechanics, which is lost somewhere. In this post we see A Physicist’s ABC of Plasma Physics by L. A. Artsimovich.

The Preface of the book written by Prof. B. B. Kadomtsev says:

This small book written by the late Lev Artsimovich, a Full Member of the USSR Academy of Sciences, is the lecture course he delivered for the physicists interested in plasma physics. The book presents the fundamental information on the high-temperature plasma physics. These, at present largely well established results, comprise, in effect, the sum of knowledge indispensable for any physicist with a wide enough sphere of interests.

By now, some material in the book has become somewhat dated; for instance, plasmas generated in Tokamaks and adiabatic traps have now more impressive parameters and we have now a markedly better understanding of the processes in them. However, since the general conceptual system has not undergone any major changes we have deemed it unwise to alter the original author’s presentation of ideas and, therefore, no significant changes have been made in the original text. Hence, the material presented in the book comprises, in the opinion of L. Artsimovich, the fundamental results obtained through many years of experimental and theoretical research in the high temperature plasma physics.

The book was translated from the Russian by Oleg Glebov and was first published by Mir in 1978.

The Internet Archive Link

and here

This post is dedicated to Mubs, hope you also write a similar book in the future.

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Magnetism of Elementary Particles – S. V. Vonsovsky

After last book, we come to another book on the topic of magnetism. But this is not of the popular science kind as most of the books that we have seen so far, this is for the experts in the field.

From the Preface

The book contains a fairly detailed though, of course, incomplete reference list, which may help to satisfy the reader who wishes to investigate anyone question in its entirity.

The book opens with a review of the well-known aspects of magnetism of the elementary particle that was discovered first, the electron (Chapter 1). This is followed by a brief summary of data concerning the magnetic properties of atomic electron shells (Chapter 2). Chapter 3 is devoted to the magnetic properties of atomic nuclei and their constituent nucleons-the proton and the neutron. It also contains a description of the most important experimental techniques of determining the magnetic moments of nuclei and nucleons (detailed tables of measured magnetic moments are given in the Appendix at the end of the book). Chapter 4 deals with the problem of the anomalous magnetic moment of an elementary particle and with the relation of this problem to the quarks hypothesis. Chapter 5 offers a fairly detailed description of the situation arising from the Dirac
hypothesis concerning the magnetic monopole. Finally, Chapter 6 gives a very brief presentation of non-linear magnetic effects in strong fields.

As has been noted, the author did not pursue the goal of giving a rigorous mathematical elaboration of theory or a comprehensive review of experimental facts. He confined himself to outlining the general situation, stressing the physical essence of the described phenomena. It is the author’s hope that this book will find many readers among physicists and specialists in related branches of the natural sciences and will help them in their practical research.

Also impressive is the list of References which has a total of 998 entries!

The book was translated from Russian by O. A. Germogenova, and was first published by Mir in 1975.

The Internet Archive Link

and here

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Three Thousand Years of Magnets – V. P. Kartsev

We now come to a wonderful book titled Three Thousand Years of Magnets by V. P. Kartsev.

The introduction of the book says:

The universe is magnetic, from its vast, distant nebulae right down to elementary particles, and man is permeated through and through with myriads of magnetic fields from all sorts of sources.

We now take the magnet for granted and have a rather supercilious attitude toward it as an old-fashioned part of school physics lessons, with no idea, at times, of the number of magnets around us. I counted up one day; in my flat there are dozens-in my electric razor, in the radio  loudspeaker, in the tape-recorder, and in a jar of nails. And I myself am a magnet; the biological currents in me give rise to a fantastic pattern of magnetic lines of force. Our Earth, too, is a gigantic blue magnet; and the Sun,a great, yellow sphere of plasma, is an even more powerful one. Galaxies and nebulae hardly visible even by means of radio telescopes are magnets of unfathomable size.

Nobody has ever been able to say (and probably never will): ‘I know everything there is to know about magnets.’ The question ‘Why does a magnet attract?’ will always fill us with a sense of Nature’s inexhaustible variety and encourage to thirst after new knowledge and new discoveries. And, because of the immensity of the problem of magnets, this book will not provide a complete answer either.
Nevertheless we do know a great deal about magnets – in any event enough to exploit their power to our own advantage.

New materials, new magnets, amazing new equipment, and the most complex and sophisticated machines all became possible when scientists began to understand the mysterious manifestations of magnetism. The magnet, it seems, which not so long ago was incomprehensible and uncontrollable, is beginning without demur to obey the orders of man, who is penetrating its secrets. And here we
would do well to recall the words of the] poet Velimir Khlebnikov: ‘No one could fulfil an order more exactly than the Sun if he were told to rise in the morning in the east. ‘

The book was translated from the Russian by Ann Feltham and was first published by Mir in 1975.

The Internet Archive Link

and here

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Updates…

Have upped Tarasov’s Calculus. The link in the original post has also been updated.

Also Landau and Rumer’s What is The Theory of Relativity has been re-upped.

 

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Science for Everyone – The Grand Biological Clock

So out of our remaining posts for Science for Everyone, as mentioned in Taking Stock we now come to The Grand Biological Clock by V. M. Dilman. Many, many thanks to gnv64 for making this possible.

From  the back cover:

Today, as a result of social progress and developments in medicine, the average human lifespan exceeds seventy years. Is this the limit? Why do we age? What mechanism lies at the base of this phenomenon, and are there means to retard it? What is the physiological norm for each age group?

The author, who is a professor and Doctor of Medicine, answers all these questions from the position of modern science.

The book is intended for doctors, biologists, and anyone who is interested in contemporary biomedicine.

The book was translated from the Russian by M. Rosenberg, translation edited by T. Juswigg and was first published by Mir in 1989.

Update Jan 2020

The Internet Archive Link

and here

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Quasi Particles – M. I. Kaganov and I. M. Lifshits

We come to Quasi Particles by M. I. Kaganov and I. M. Lifshits. A wonderful little book on solid state physics. The back cover says:

This book, “Quasiparticles (Ideas and principles of solid state quantum physics)“, was written by two outstanding specialists in the solid state quantum theory. The book is meant for a broad circle of readers. It contains no complicated mathematical formulas, nor derivations of them. The authors base the presentation on analogies, assuming their readers to possess certain degree of intuition in the field of physics. The book tells how atomic particles move inside solids, what is meant by the term “thermal motion”, and how the characteristics of motion of atomic particles are revealed in the macroscopic properties of solids.

And the foreword says:

A number of approaches can be chosen to describe the state-of-the-arts in a sufficiently mature field of science. The choice lies with the author, and reflects his tastes, habits, and experience. This book is our attempt to present the basic concepts (or those we regard as basic) of the quantum theory of solid state, paying maximum attention to answering the question that we selected as a heading for the first chapter, viz. “What Are the Components of .. ?”, A favourite image the authors had invariably kept in mind was: an inquisitive boy is dismantling a toy car trying to understand what its parts are; he holds the car’s skeleton in his hand, and bolts and wheels are in a pile on the floor. It was not, however, our intent to reassemble the “car” after its structure has been analyzed, and to give a detailed account of· its functioning. The reader, we assume, had met with the “functioning” of solid state devices more than once; the properties of such devices make the subject of many an excellent book.

The book was translated from the Russian by V. Kissin and was first published by Mir in 1979.

The Internet Archive Link

and here

The table of contents is as under.

Foreword 5
What are the components of … ? 7
Photons 11
Bosons and fermions 14
Quantum statistics 15
Gas of fermions (Fermi-Dirac degeneration) 18
Gas of bosons (Bose-Einstein degeneration) 20
Energy spectrum 22
Phonons 25
Phonons in helium 32
Magnons, etc. 35
Electrons. Energy bands 37
p-Space 39
Metals (conductors), insulators,
semiconductors, and semimetals 41
Electrons and holes 46
Landau Fermi liquid 49
More on electrons and holes 52
Waves in electron gas- 53
Excitons 55
Polarons, Fluctuons, etc. 56
Half-way finish 59
Colliding quasiparticles 61
Additional complications 6S
Digression on phase transitions 73
Quantum crystals. Quantum diffusion. Vacancions 79
Undamped macroscopic motions 87
Concluding remarks.
Solid state physics and molecular biology 93

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Updates…

New and improved version (cleaner, paginated, ocred, bookmarked, with cover) upped.

Check the new link and report problems if any. Link on original post is also restored.

You can download this book from here.

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