What was the relationship between Einstein and Minkowski?How was Einstein led to make a contact with Differential Geometry for his theory of General Relativity?Why did Einstein help in the development of the Quantum theory if he didn't agree with it?What have we learned from Einstein's unsuccessful dream?What attracted Einstein to the anomalous precession of Mercury?What was the motivation for Minkowski spacetime before special relativity?Einstein already used the idea of time orientation when formulating General Relativity?Why didn't Einstein win a second Nobel Prize, for relativity?Did Einstein get inspired by projective geometry?How did Maxwell fall short of Einstein?What are the references for Riemann's discussion of gravity?

How can a resurrection system prevent the cheapening of death?

How can I fix a framing mistake so I can drywall?

Why does F + F' = 1?

Have there been any countries that voted themselves out of existence?

What is a realistic time needed to get a properly trained army?

How to work with a technician hired with a grant who argues everything

Where can I get an anonymous Rav Kav card issued?

Are the definite and indefinite integrals actually two different things? Where is the flaw in my understanding?

Using the pipe operator ("|") when executing system commands

Sol Ⅲ = Earth: What is the origin of this planetary naming scheme?

I asked for a graduate student position from a professor. He replied "welcome". What does that mean?

How to stabilise the bicycle seatpost and saddle when it is all the way up?

extract lines from bottom until regex match

How does Vivi differ from other Black Mages?

Might have gotten a coworker sick, should I address this?

How is Mystery Inc. funded?

Are programming languages necessary/useful for operations research practitioner?

Action queue manager to perform action in a FIFO fashion

How do I politely hint customers to leave my store, without pretending to need leave store myself?

Double it your way

Random point on a sphere

Are scroll bars dead in 2019?

Is English tonal for some words, like "permit"?

Do all humans have an identical nucleotide sequence for certain proteins, e.g haemoglobin?



What was the relationship between Einstein and Minkowski?


How was Einstein led to make a contact with Differential Geometry for his theory of General Relativity?Why did Einstein help in the development of the Quantum theory if he didn't agree with it?What have we learned from Einstein's unsuccessful dream?What attracted Einstein to the anomalous precession of Mercury?What was the motivation for Minkowski spacetime before special relativity?Einstein already used the idea of time orientation when formulating General Relativity?Why didn't Einstein win a second Nobel Prize, for relativity?Did Einstein get inspired by projective geometry?How did Maxwell fall short of Einstein?What are the references for Riemann's discussion of gravity?






.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty margin-bottom:0;








2












$begingroup$


I read many Einstein's Biographies, but Minkowski was never mentioned, though his discovery of the union of space and time created the basis for GR.



Minkowski was Einstein's teacher of mathematics in Zürich. How did Einstein comment on Minkowski's revolutionary theory?










share|improve this question











$endgroup$




















    2












    $begingroup$


    I read many Einstein's Biographies, but Minkowski was never mentioned, though his discovery of the union of space and time created the basis for GR.



    Minkowski was Einstein's teacher of mathematics in Zürich. How did Einstein comment on Minkowski's revolutionary theory?










    share|improve this question











    $endgroup$
















      2












      2








      2





      $begingroup$


      I read many Einstein's Biographies, but Minkowski was never mentioned, though his discovery of the union of space and time created the basis for GR.



      Minkowski was Einstein's teacher of mathematics in Zürich. How did Einstein comment on Minkowski's revolutionary theory?










      share|improve this question











      $endgroup$




      I read many Einstein's Biographies, but Minkowski was never mentioned, though his discovery of the union of space and time created the basis for GR.



      Minkowski was Einstein's teacher of mathematics in Zürich. How did Einstein comment on Minkowski's revolutionary theory?







      biographical-details theoretical-physics relativity-theory einstein riemannian-geometry






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited 6 hours ago









      Conifold

      39.3k1 gold badge62 silver badges138 bronze badges




      39.3k1 gold badge62 silver badges138 bronze badges










      asked 9 hours ago









      Realist753Realist753

      912 bronze badges




      912 bronze badges























          1 Answer
          1






          active

          oldest

          votes


















          3














          $begingroup$

          A good account is Weinstein, Max Born, Albert Einstein and Hermann Minkowski's Space-Time Formalism of Special Relativity. They did no have much of a relationship, what it was is well-summarized by Sommerfeld:




          "Strangely enough no personal contacts resulted between his teacher of mathematics, Hermann Minkowski, and Einstein. When, later on, Minkowski built up the special theory of relativity into his 'world-geometry', Einstein said on one occasion: 'Since the mathematicians have invaded the theory of relativity, I do not understand it myself any more'. But soon thereafter, at the time of the conception of the general theory of relativity, he readily acknowledged the indispensability of the four-dimensional scheme of Minkowski".




          Minkowski was Einstein's mathematics professor at the Zürich Polytechnic (1896-1900), but was not interested in mathematics at the time, and skipped most of his lectures. As Minkowski himself told Born, "in his student days Einstein had been a real lazybones. He never bothered about mathematics at all". Einstein confirms this in his Autobiographical Notes:




          "I had excellent teachers (for example, [Adolf] Hurwitz, Minkowski), so that I should have been able to obtain a mathematical training in depth. I worked most of the time in physical laboratory, however, fascinated by the direct contact with experience. The balance of the time I used, in the main, in order to study at home the works of Kirchhoff, Helmholtz, Hertz, etc."




          In 1902 Minkowski moved to Göttingen. According to Born, he was interested in electrodynamics since 1905, but the interest was based on the works of Hertz, Fitzgerald, Larmor, Lorentz, and Poincaré. The now famous spacetime formalism was developed in 1907-08, with the first glimpse of it described in the lecture The Relativity Principle on November 5, 1907. It treats the principle in terms of ether, and names Lorentz as its discoverer. Einstein is credited with clarifying it.



          A detailed description of the spacetime formalism first appeared in the Minkowski's December 21, 1907 lecture The Basic Equations for Electromagnetic Processes in Moving Bodies, and was published in April, 1908, in Göttinger Nachrichten. It was the only publication on the subject before his death on January 12, 1909. But it gained traction already after the September 12, 1908 talk at the Cologne Congress. Einstein was supposed to meet Planck there, but ended up not coming. His attitude towards Minkowski's formalism is politely expressed in a 1908 paper with Laub:




          "In a recent published study Mr. Minkowski has presented the fundamental equations for the electromagnetic processes in moving bodies. In view of the fact that this study makes rather great demands on the reader in its mathematical aspects, we do not consider it superfluous to derive here these important equations in an elementary way, which, is, by the way, essentially in agreement with that of Minkowski."




          According to Sommerfeld, Einstein was even more blunt privately. So most of the early work on general relativity owed very little to Minkowski's formalism, if anything, see How was Einstein led to make a contact with Differential Geometry for his theory of General Relativity? Einstein's attitude only changed in 1912, when he wrote to Sommerfeld on October 29:




          "I am now occupied exclusively with the gravitational problem, and believe that I can overcome all difficulties with the help of a local mathematician friend [Marcel Grossmann]. But one thing is certain, never before in my life have I troubled myself over anything so much, and that I have gained great respect for mathematics, whose more subtle parts I considered until now, in my ignorance, as pure luxury! Compared with this problem, the original theory of relativity is childish".




          But by then his main influence was tensor calculus through Grossman and Levi-Civita, with whom he corresponded.






          share|improve this answer











          $endgroup$

















            Your Answer








            StackExchange.ready(function()
            var channelOptions =
            tags: "".split(" "),
            id: "587"
            ;
            initTagRenderer("".split(" "), "".split(" "), channelOptions);

            StackExchange.using("externalEditor", function()
            // Have to fire editor after snippets, if snippets enabled
            if (StackExchange.settings.snippets.snippetsEnabled)
            StackExchange.using("snippets", function()
            createEditor();
            );

            else
            createEditor();

            );

            function createEditor()
            StackExchange.prepareEditor(
            heartbeatType: 'answer',
            autoActivateHeartbeat: false,
            convertImagesToLinks: false,
            noModals: true,
            showLowRepImageUploadWarning: true,
            reputationToPostImages: null,
            bindNavPrevention: true,
            postfix: "",
            imageUploader:
            brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
            contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/4.0/"u003ecc by-sa 4.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
            allowUrls: true
            ,
            noCode: true, onDemand: true,
            discardSelector: ".discard-answer"
            ,immediatelyShowMarkdownHelp:true
            );



            );














            draft saved

            draft discarded
















            StackExchange.ready(
            function ()
            StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fhsm.stackexchange.com%2fquestions%2f9975%2fwhat-was-the-relationship-between-einstein-and-minkowski%23new-answer', 'question_page');

            );

            Post as a guest















            Required, but never shown

























            1 Answer
            1






            active

            oldest

            votes








            1 Answer
            1






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            3














            $begingroup$

            A good account is Weinstein, Max Born, Albert Einstein and Hermann Minkowski's Space-Time Formalism of Special Relativity. They did no have much of a relationship, what it was is well-summarized by Sommerfeld:




            "Strangely enough no personal contacts resulted between his teacher of mathematics, Hermann Minkowski, and Einstein. When, later on, Minkowski built up the special theory of relativity into his 'world-geometry', Einstein said on one occasion: 'Since the mathematicians have invaded the theory of relativity, I do not understand it myself any more'. But soon thereafter, at the time of the conception of the general theory of relativity, he readily acknowledged the indispensability of the four-dimensional scheme of Minkowski".




            Minkowski was Einstein's mathematics professor at the Zürich Polytechnic (1896-1900), but was not interested in mathematics at the time, and skipped most of his lectures. As Minkowski himself told Born, "in his student days Einstein had been a real lazybones. He never bothered about mathematics at all". Einstein confirms this in his Autobiographical Notes:




            "I had excellent teachers (for example, [Adolf] Hurwitz, Minkowski), so that I should have been able to obtain a mathematical training in depth. I worked most of the time in physical laboratory, however, fascinated by the direct contact with experience. The balance of the time I used, in the main, in order to study at home the works of Kirchhoff, Helmholtz, Hertz, etc."




            In 1902 Minkowski moved to Göttingen. According to Born, he was interested in electrodynamics since 1905, but the interest was based on the works of Hertz, Fitzgerald, Larmor, Lorentz, and Poincaré. The now famous spacetime formalism was developed in 1907-08, with the first glimpse of it described in the lecture The Relativity Principle on November 5, 1907. It treats the principle in terms of ether, and names Lorentz as its discoverer. Einstein is credited with clarifying it.



            A detailed description of the spacetime formalism first appeared in the Minkowski's December 21, 1907 lecture The Basic Equations for Electromagnetic Processes in Moving Bodies, and was published in April, 1908, in Göttinger Nachrichten. It was the only publication on the subject before his death on January 12, 1909. But it gained traction already after the September 12, 1908 talk at the Cologne Congress. Einstein was supposed to meet Planck there, but ended up not coming. His attitude towards Minkowski's formalism is politely expressed in a 1908 paper with Laub:




            "In a recent published study Mr. Minkowski has presented the fundamental equations for the electromagnetic processes in moving bodies. In view of the fact that this study makes rather great demands on the reader in its mathematical aspects, we do not consider it superfluous to derive here these important equations in an elementary way, which, is, by the way, essentially in agreement with that of Minkowski."




            According to Sommerfeld, Einstein was even more blunt privately. So most of the early work on general relativity owed very little to Minkowski's formalism, if anything, see How was Einstein led to make a contact with Differential Geometry for his theory of General Relativity? Einstein's attitude only changed in 1912, when he wrote to Sommerfeld on October 29:




            "I am now occupied exclusively with the gravitational problem, and believe that I can overcome all difficulties with the help of a local mathematician friend [Marcel Grossmann]. But one thing is certain, never before in my life have I troubled myself over anything so much, and that I have gained great respect for mathematics, whose more subtle parts I considered until now, in my ignorance, as pure luxury! Compared with this problem, the original theory of relativity is childish".




            But by then his main influence was tensor calculus through Grossman and Levi-Civita, with whom he corresponded.






            share|improve this answer











            $endgroup$



















              3














              $begingroup$

              A good account is Weinstein, Max Born, Albert Einstein and Hermann Minkowski's Space-Time Formalism of Special Relativity. They did no have much of a relationship, what it was is well-summarized by Sommerfeld:




              "Strangely enough no personal contacts resulted between his teacher of mathematics, Hermann Minkowski, and Einstein. When, later on, Minkowski built up the special theory of relativity into his 'world-geometry', Einstein said on one occasion: 'Since the mathematicians have invaded the theory of relativity, I do not understand it myself any more'. But soon thereafter, at the time of the conception of the general theory of relativity, he readily acknowledged the indispensability of the four-dimensional scheme of Minkowski".




              Minkowski was Einstein's mathematics professor at the Zürich Polytechnic (1896-1900), but was not interested in mathematics at the time, and skipped most of his lectures. As Minkowski himself told Born, "in his student days Einstein had been a real lazybones. He never bothered about mathematics at all". Einstein confirms this in his Autobiographical Notes:




              "I had excellent teachers (for example, [Adolf] Hurwitz, Minkowski), so that I should have been able to obtain a mathematical training in depth. I worked most of the time in physical laboratory, however, fascinated by the direct contact with experience. The balance of the time I used, in the main, in order to study at home the works of Kirchhoff, Helmholtz, Hertz, etc."




              In 1902 Minkowski moved to Göttingen. According to Born, he was interested in electrodynamics since 1905, but the interest was based on the works of Hertz, Fitzgerald, Larmor, Lorentz, and Poincaré. The now famous spacetime formalism was developed in 1907-08, with the first glimpse of it described in the lecture The Relativity Principle on November 5, 1907. It treats the principle in terms of ether, and names Lorentz as its discoverer. Einstein is credited with clarifying it.



              A detailed description of the spacetime formalism first appeared in the Minkowski's December 21, 1907 lecture The Basic Equations for Electromagnetic Processes in Moving Bodies, and was published in April, 1908, in Göttinger Nachrichten. It was the only publication on the subject before his death on January 12, 1909. But it gained traction already after the September 12, 1908 talk at the Cologne Congress. Einstein was supposed to meet Planck there, but ended up not coming. His attitude towards Minkowski's formalism is politely expressed in a 1908 paper with Laub:




              "In a recent published study Mr. Minkowski has presented the fundamental equations for the electromagnetic processes in moving bodies. In view of the fact that this study makes rather great demands on the reader in its mathematical aspects, we do not consider it superfluous to derive here these important equations in an elementary way, which, is, by the way, essentially in agreement with that of Minkowski."




              According to Sommerfeld, Einstein was even more blunt privately. So most of the early work on general relativity owed very little to Minkowski's formalism, if anything, see How was Einstein led to make a contact with Differential Geometry for his theory of General Relativity? Einstein's attitude only changed in 1912, when he wrote to Sommerfeld on October 29:




              "I am now occupied exclusively with the gravitational problem, and believe that I can overcome all difficulties with the help of a local mathematician friend [Marcel Grossmann]. But one thing is certain, never before in my life have I troubled myself over anything so much, and that I have gained great respect for mathematics, whose more subtle parts I considered until now, in my ignorance, as pure luxury! Compared with this problem, the original theory of relativity is childish".




              But by then his main influence was tensor calculus through Grossman and Levi-Civita, with whom he corresponded.






              share|improve this answer











              $endgroup$

















                3














                3










                3







                $begingroup$

                A good account is Weinstein, Max Born, Albert Einstein and Hermann Minkowski's Space-Time Formalism of Special Relativity. They did no have much of a relationship, what it was is well-summarized by Sommerfeld:




                "Strangely enough no personal contacts resulted between his teacher of mathematics, Hermann Minkowski, and Einstein. When, later on, Minkowski built up the special theory of relativity into his 'world-geometry', Einstein said on one occasion: 'Since the mathematicians have invaded the theory of relativity, I do not understand it myself any more'. But soon thereafter, at the time of the conception of the general theory of relativity, he readily acknowledged the indispensability of the four-dimensional scheme of Minkowski".




                Minkowski was Einstein's mathematics professor at the Zürich Polytechnic (1896-1900), but was not interested in mathematics at the time, and skipped most of his lectures. As Minkowski himself told Born, "in his student days Einstein had been a real lazybones. He never bothered about mathematics at all". Einstein confirms this in his Autobiographical Notes:




                "I had excellent teachers (for example, [Adolf] Hurwitz, Minkowski), so that I should have been able to obtain a mathematical training in depth. I worked most of the time in physical laboratory, however, fascinated by the direct contact with experience. The balance of the time I used, in the main, in order to study at home the works of Kirchhoff, Helmholtz, Hertz, etc."




                In 1902 Minkowski moved to Göttingen. According to Born, he was interested in electrodynamics since 1905, but the interest was based on the works of Hertz, Fitzgerald, Larmor, Lorentz, and Poincaré. The now famous spacetime formalism was developed in 1907-08, with the first glimpse of it described in the lecture The Relativity Principle on November 5, 1907. It treats the principle in terms of ether, and names Lorentz as its discoverer. Einstein is credited with clarifying it.



                A detailed description of the spacetime formalism first appeared in the Minkowski's December 21, 1907 lecture The Basic Equations for Electromagnetic Processes in Moving Bodies, and was published in April, 1908, in Göttinger Nachrichten. It was the only publication on the subject before his death on January 12, 1909. But it gained traction already after the September 12, 1908 talk at the Cologne Congress. Einstein was supposed to meet Planck there, but ended up not coming. His attitude towards Minkowski's formalism is politely expressed in a 1908 paper with Laub:




                "In a recent published study Mr. Minkowski has presented the fundamental equations for the electromagnetic processes in moving bodies. In view of the fact that this study makes rather great demands on the reader in its mathematical aspects, we do not consider it superfluous to derive here these important equations in an elementary way, which, is, by the way, essentially in agreement with that of Minkowski."




                According to Sommerfeld, Einstein was even more blunt privately. So most of the early work on general relativity owed very little to Minkowski's formalism, if anything, see How was Einstein led to make a contact with Differential Geometry for his theory of General Relativity? Einstein's attitude only changed in 1912, when he wrote to Sommerfeld on October 29:




                "I am now occupied exclusively with the gravitational problem, and believe that I can overcome all difficulties with the help of a local mathematician friend [Marcel Grossmann]. But one thing is certain, never before in my life have I troubled myself over anything so much, and that I have gained great respect for mathematics, whose more subtle parts I considered until now, in my ignorance, as pure luxury! Compared with this problem, the original theory of relativity is childish".




                But by then his main influence was tensor calculus through Grossman and Levi-Civita, with whom he corresponded.






                share|improve this answer











                $endgroup$



                A good account is Weinstein, Max Born, Albert Einstein and Hermann Minkowski's Space-Time Formalism of Special Relativity. They did no have much of a relationship, what it was is well-summarized by Sommerfeld:




                "Strangely enough no personal contacts resulted between his teacher of mathematics, Hermann Minkowski, and Einstein. When, later on, Minkowski built up the special theory of relativity into his 'world-geometry', Einstein said on one occasion: 'Since the mathematicians have invaded the theory of relativity, I do not understand it myself any more'. But soon thereafter, at the time of the conception of the general theory of relativity, he readily acknowledged the indispensability of the four-dimensional scheme of Minkowski".




                Minkowski was Einstein's mathematics professor at the Zürich Polytechnic (1896-1900), but was not interested in mathematics at the time, and skipped most of his lectures. As Minkowski himself told Born, "in his student days Einstein had been a real lazybones. He never bothered about mathematics at all". Einstein confirms this in his Autobiographical Notes:




                "I had excellent teachers (for example, [Adolf] Hurwitz, Minkowski), so that I should have been able to obtain a mathematical training in depth. I worked most of the time in physical laboratory, however, fascinated by the direct contact with experience. The balance of the time I used, in the main, in order to study at home the works of Kirchhoff, Helmholtz, Hertz, etc."




                In 1902 Minkowski moved to Göttingen. According to Born, he was interested in electrodynamics since 1905, but the interest was based on the works of Hertz, Fitzgerald, Larmor, Lorentz, and Poincaré. The now famous spacetime formalism was developed in 1907-08, with the first glimpse of it described in the lecture The Relativity Principle on November 5, 1907. It treats the principle in terms of ether, and names Lorentz as its discoverer. Einstein is credited with clarifying it.



                A detailed description of the spacetime formalism first appeared in the Minkowski's December 21, 1907 lecture The Basic Equations for Electromagnetic Processes in Moving Bodies, and was published in April, 1908, in Göttinger Nachrichten. It was the only publication on the subject before his death on January 12, 1909. But it gained traction already after the September 12, 1908 talk at the Cologne Congress. Einstein was supposed to meet Planck there, but ended up not coming. His attitude towards Minkowski's formalism is politely expressed in a 1908 paper with Laub:




                "In a recent published study Mr. Minkowski has presented the fundamental equations for the electromagnetic processes in moving bodies. In view of the fact that this study makes rather great demands on the reader in its mathematical aspects, we do not consider it superfluous to derive here these important equations in an elementary way, which, is, by the way, essentially in agreement with that of Minkowski."




                According to Sommerfeld, Einstein was even more blunt privately. So most of the early work on general relativity owed very little to Minkowski's formalism, if anything, see How was Einstein led to make a contact with Differential Geometry for his theory of General Relativity? Einstein's attitude only changed in 1912, when he wrote to Sommerfeld on October 29:




                "I am now occupied exclusively with the gravitational problem, and believe that I can overcome all difficulties with the help of a local mathematician friend [Marcel Grossmann]. But one thing is certain, never before in my life have I troubled myself over anything so much, and that I have gained great respect for mathematics, whose more subtle parts I considered until now, in my ignorance, as pure luxury! Compared with this problem, the original theory of relativity is childish".




                But by then his main influence was tensor calculus through Grossman and Levi-Civita, with whom he corresponded.







                share|improve this answer














                share|improve this answer



                share|improve this answer








                edited 15 mins ago

























                answered 6 hours ago









                ConifoldConifold

                39.3k1 gold badge62 silver badges138 bronze badges




                39.3k1 gold badge62 silver badges138 bronze badges































                    draft saved

                    draft discarded















































                    Thanks for contributing an answer to History of Science and Mathematics Stack Exchange!


                    • Please be sure to answer the question. Provide details and share your research!

                    But avoid


                    • Asking for help, clarification, or responding to other answers.

                    • Making statements based on opinion; back them up with references or personal experience.

                    Use MathJax to format equations. MathJax reference.


                    To learn more, see our tips on writing great answers.




                    draft saved


                    draft discarded














                    StackExchange.ready(
                    function ()
                    StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fhsm.stackexchange.com%2fquestions%2f9975%2fwhat-was-the-relationship-between-einstein-and-minkowski%23new-answer', 'question_page');

                    );

                    Post as a guest















                    Required, but never shown





















































                    Required, but never shown














                    Required, but never shown












                    Required, but never shown







                    Required, but never shown

































                    Required, but never shown














                    Required, but never shown












                    Required, but never shown







                    Required, but never shown







                    Popular posts from this blog

                    ParseJSON using SSJSUsing AMPscript with SSJS ActivitiesHow to resubscribe a user in Marketing cloud using SSJS?Pulling Subscriber Status from Lists using SSJSRetrieving Emails using SSJSProblem in updating DE using SSJSUsing SSJS to send single email in Marketing CloudError adding EmailSendDefinition using SSJS

                    Кампала Садржај Географија Географија Историја Становништво Привреда Партнерски градови Референце Спољашње везе Мени за навигацију0°11′ СГШ; 32°20′ ИГД / 0.18° СГШ; 32.34° ИГД / 0.18; 32.340°11′ СГШ; 32°20′ ИГД / 0.18° СГШ; 32.34° ИГД / 0.18; 32.34МедијиПодациЗванични веб-сајту

                    Кастелфранко ди Сопра Становништво Референце Спољашње везе Мени за навигацију43°37′18″ СГШ; 11°33′32″ ИГД / 43.62156° СГШ; 11.55885° ИГД / 43.62156; 11.5588543°37′18″ СГШ; 11°33′32″ ИГД / 43.62156° СГШ; 11.55885° ИГД / 43.62156; 11.558853179688„The GeoNames geographical database”„Istituto Nazionale di Statistica”проширитиууWorldCat156923403n850174324558639-1cb14643287r(подаци)