Relation All Mathematics (संबंधाचे सर्व गणित) - सचिन देशमुख (पंजाब)

About Relation All Mathematics (संबंधाचे सर्व गणित) - सचिन देशमुख (पंजाब)

laca/kkps loZ xf.kr (एक संबंधगणित पद्धती) ns’keq[k lfpu lafniku कवितासागर प्रकाशन 02322 - 225500, 09975873569 www.KavitaSagar.com KavitaSagar Publication कवितासागर प्रकाशन o Registered with the International ISBN Agency, London, UK and The Government of India, Ministry of Human Resource Development, New Delhi o International Standard Book Number: ________________ o Title - Relation All Mathematics (संबंधाचे सर्व गणित - एक संबंधगणित पद्धती) o Author - Deshmukh Sachin Sandipan (देशमुख सचिन संदीपान) At and Post - Khujgaon- 416311, Taluka - Tasgaon, District - Sangli, Maharashtra, India Telephone: 08605594845, 09501353183 e-Mail-sachindeshmukh9414@gmail.com, relationmathematics9414@gmail.com o Year of Publication -Nationa Mathemati Day -December 22, 2014 (राष्ट्रीय गणित दिवस - डिसेंबर 22, 2014) o Edition's - First (प्रथम आवृत्ती) o Volume - One (खंड पहिला) o Price - Rs. 500/- (मुल्य 500/- रुपये) o Subject - Relation Mathematics (संबंधगणित) o Language - Marathi (मराठी) o Total - 392 Pages including covers. o Copyright - © Deshmukh Sachin Sandipan (देशमुख सचिन संदीपान) All rights reserved. No part of this publication may be reproduced, stored in a retrieval system or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior permission of the copyright holder. Only the publisher can export this edition from India. Due care has taken to ensure that the information provided in this book is correct. However, the publishers bear no responsibility for any damage resulting from any inadvertent omission or inaccuracy in the book. o Copyright Ragistatiion Number - L-56305/2013 o Published in India in 2014 by - Dr. Sunil Patil (डॉ. सुनील पाटील) On Behalf of KavitaSagar Publication (कवितासागर प्रकाशन) Jaysingpur - 416101, Taluka - Shirol, District - Kolhapur, Maharashtra, India Telephone: 02322 - 225500, 9975873569, kavitasagarpublication@rediffmail.com, sunildadapatil@gmail.com, sunil77p@rediffmail.com, www.KavitaSagar.com o Typesetting by - Dhudat Desktop Publishing Center धुदाट डी. टी. पी. सेंटर o Cover Design by - Shrikant Shinde (श्रीकांत शिंदे) o Printed and Bound in India by - KavitaSagar Printing Services, Jaysingpur o Views expressed in this book are entirely those of the respective Authors and do not represent the opinions or thoughts of the Publisher मनोगत... Hkkjr gk ,d fon~orsus laiUu vlysY;k egkiq:”kkapk ns’k vkgs- fofo/k dysus ifjiw.kZ vlysY;k egku dykdkjkauh Hkjysyk ns’k vkgs- vkf.k gh fon~oRrk] dyk] fopkj gs iqjkru dkGkiklwup v’kk O;DrhaP;k jDrk eklke/;s Hkjysys vkgsr- ;sFks dks.kR;kgh O;DrhdMs ikgwu, R;kP;k lqIr xq.kkadMs ikgwu ns’kkP;k Hkfo”;kpk vankt ykoyk tkow ‘kdr ukgh- vkf.k okLrfod ;k ns’kkps Hkfo”; gs izR;sd O;DrhP;k gkrke/;s vkgs- QDr vkiY;k eukrhy fopkj] vkiY;k vlysY;k dyk] vkiY;ke/;s vlysyh fon~ork ex rh dks.kR;kgh izdkjph vlks] rh ;k fodlu’khy Hkkjr ekrsP;k pj.kh viZ.k dj.;kph r;kjh n’kZoyh ikfgts- tsaOgk vki.k vls d: rsaOgkp gh Hkkjrekrk 31 fMlsacj] 2020 ;k rkj[ksiwohZ egklRrk >kY;kokpwu jkg.kkj ukgh- vkiyk Hkkjr gk ,d xf.kr la’kks/kukph ijaijk vlysyk ns’k vkgs- dkj.k Hkkjrkusp ;k txkyk ‘kwU;kph ns.kxh fnysyh vkgs- o R;keqGs vkdMs’kkL=kyk uoh fn’kk feGkyh- izkphu dkGkiklwu vkti;Zar vkiY;k Hkkjrke/;s vusd xf.krh gksowu xsysr त्यामध्ये आर्यभट्ट, भास्कराचार्या, माधव, निळकंठ, वराहमिहिर, ब्रम्हगुप्त, रामानुजन, या प्रमाणे अनेक की, R;kauh vkiY;k Hkkjrkpk xkSjo txkr dj.;kl Hkkx ikMys- vktgh vkiY;k Hkkjrke/;s xf.kr la’kks/kukps dk;Z mPp Lrjkoj pkyq vkgs- ijarq ek>k Bke fo’okl vkgs dh] [ksMks&[ksMh lqn~/kk vusd la’kks/kd r;kj gksr vkgsr- R;kP;ke/;s lqn`/kk ufou dkghrjh d:u xf.krkP;k ckcrhr Hkkjrkps ukao jks’ku dj.;kph mex vkgs- ijarq ekxZn’kZu] vkfFkZd ifjfLFkrh o la’kks/kukph lqjf{krrk ;kaph ;ksX; fn’kk u feGkY;keqGs R;kaP;k euke/;s fdrhgh bPNk’kDrh vlwu rks ;ksX; fBdk.kh iksgpw ‘kdr ukgh gh [kar vkgs- d/kh i;Zar vki.k Hkkjr ns’k egklRrk cusy ;k laHkzekr jkg.kkj vkgksr] d/khi;Zar------ vkt ;k Hkkjr ekrsyk vkiyk Hkkjr ns’k egklRrk cu.kkj- ;k okD;kph vko’;drk ukgh rj ^^eh ;k Hkkjr ns’kkyk egklRrk cuo.kkj**. ;k okD;kph vko’;drk vkgs- pyk rj ex vktiklwu vkiY;k euke/;s Bke fu’p; d:;k dh] ^^ehp vkgs ek÷;k Hkkjr ns’kkP;k egklRrspk f’kYidkj**- Hkkjr ns’kkpk gk fopkj eh ek÷;k euke/;s Bke dsysyk vkgs- o R;k fopkjkyk izfrlkn nsr ^xf.kr la’kks/kuke/;s lefiZr* ^^laca/kkps loZ xf.kr**;k xf.kr la’kksf/kr iqLrdkph fufeZrh djrkuk eyk eukiklwu vkuan gksr vkgs- vkf.k eyk iw.kZ fo’okl vkgs dh] ;k izkFkfed fopkj d:u r;kj dsysY;k ^^laca/kkps loZ xf.kr** ;k foKku xzaFkkP;k ek/;ekrwu vusd xf.kr la’kks/kus ckgsj iMrhy o rh xf.kr la’kks/kus gh ^^laca/kxf.kr** ;k fo”k;kpk Hkkx vlrhy- ^^laca/kkps loZ xf.kr** la’kks/kuke/;s cktweki ladYiuk] vk;r&pkSjl; rlsp nksu dkVdksu f=dks.kkpk lq=kOnkjs vlysyk laca/k, vk;r o dkVdksu f=dks.k ,dk js”kk[kaMke/;s lqn~/kk lkekow ‘kdrkr- vkf.k rs ‘kwU; {ks=QG vlysys lqn~/kk vlw ‘kdrkr- v’kk ladYiuk eqyHkwr ek.kwu vkEgh bf”Vdkfprh o ?ku ;kaP;k ?kuQG o i`”BQG ;kapk laca/k Li”V dj.;kpk iz;Ru dsysyk vkgs- rlsp ;k eqyHkwr ladYiukpk vk/kkj ?ksowu vk;r] dkVdksu f=dks.k ;kaP;kfo”k;h oxZ lehdj.k ladYiuk ekaMysyh vkgs- rlsp R;kP;kfo”k;h f=dks.kferh; ladYiukgh ekaM.;kpk iz;Ru dsysyk vkgs- gs la’kks/ku vkEgh iw.kZrk d`”kh{ks= MkssG~;kleksj Bsowu dsysys la’kks/ku vkgs- dkj.k eh Lor% ,d [ksMsxkaokr jkg.kkjk ,d lkekU; O;Drh vkgs-o nSuafnu thouke/;s ‘ksrdjh ‘ksrh djrkuk rs okijkr vk.kr vl.kk&;k xks”Vhpk fopkj djrkuk, ek÷;k euke/;s g~;k ladYiuspk mn; >kyk- ek>h v’khgh vk’kadk vkgs dh ;k ladYiukpk fopkj iwohZ dq.khrjh dsysyk vlkok- ;kfo”k;h ladYiuk ekaMysY;k vlkO;kr- ijarq ek÷;k euke/;s vlk iz’u iMyk vkgs dh] tj gs [kjs vlsy rj vkt vkeps ‘ksrdjh fe= O;ogkjh thouke/;s ;k ladYiukpk okij dk djr ukghr- rsaOgk eh fu/kkZj dsyk dh vkrk vki.k ;k HkkSferhd vkd`R;kapk laca/k lq=kP;k lgk;kus ekaM.;kpk iz;Ru d:;k o ;k fopkjkrwup xsyh 6-7 o”ksZ esgur ?ksowu ^^laca/kkps loZ xf.kr** gs iqLrd vkiY;kleksj vk.kys vkgs- ;k iqLrdke/;s ekaMysY;k izR;sd ladYiukuk lq=kpk vk/kkj fnysyk vkgs- o dks.kR;kgh vkti;Zar pkyr vkysY;k ladYiukuk gkr ykoysyk ukgh- ;k iqLrdkrwu vkEgh HkkSferhd vkd`R;kae/khy laca/k lq=kaP;k lgk;kus ekaMysyk vkgs- gs xf.kr la’kks/ku djrkuk dkgh fBdk.kh vMp.kh vkY;k R;kosGh eh Jh- panzf’ky jk- Hkkxor ¼nknk½ ;kaps ekxZn’kZu ?ksrys R;keqGs eh R;kapk O;Drh’k _.kh vkgs- gs la’kks/ku djrkuk T;kosGh ek>k vkRefo’okl [kpr gksrk R;kosGh Jh f’kokth ns’keq[k lj] tk/ko xq#th ;kauh eyk vk/kkj fnyk R;keqGs eh R;kapk vkHkkjh vkgs- rlsp ek>s eksBs pqyrs] e/kys pqyrs o oMhy ;kapsgh fo’ks"k lgk; ykHkys R;keqGs eh R;kapkgh _.kh vkgs- ekÖ;ke/;s la’kks/ku o`Rrh fuekZ.k dj.kkjs ek>s vktksck ¼dkdk½ o vH;klo`Rrh fuekZ.k dj.kkjh ek>h vkbZ ;kapk eh 'kr’k% _.kh vkgs- lnjps xf.kr la’kks/ku iq.kZ dj.kslkBh izR;{k & vizR;{k lgdk;Z o ekxZn’kZu dj.kk&;k lokZps eu%iwoZd vkHkkj ! xf.kr dke djrkuk eh rqEgkyk eukiklwu fourh d: bfPNrks dh] ;k ^^laca/kkps loZ xf.kr** ;k foKku xzaFkkpk lekt mi;ksxklkBh dk; gksbZy vls okVr ulsy rj eyk vkiyk NksVk HkkÅ Eg.kwu ekQ djk- ijarq ;k la’kks/kukrwu rqEgkyk dks.krkgh vk’kspk fdj.k fnlr vlsy rj ek÷;kcjkscj rqEghgh gs xf.kr dk;Z iq