Introduction to Simple Mathematical Formulae by Bhārati Kṛṣṇa Tīrtha

These are the Sūtras developed by Jagadguru Swami Śrī Bhārati Kṛṣṇa Tīrthaji Mahārāja between 1911 and 1918.

Swamiji was the Shankarāchārya of the Govardhan Math, Jagannath Puri as well as Dwaraka, Gujarat (1884-1960).

Swamiji had developed set of sixteen mathematical formulae or sūtras and their sub sūtras. These single line sūtras are in Samskrita easy to understand and remember. Each sūtra can be applied to solve many different mathematical operations.

These Sūtras help to solve the  'difficult" problems or huge sums  very quickly and calculations can be carried out mentally or involve one or two steps.

List Of Sūtras

Here are the list of Sūtras and Sub-Sūtras.

Sl.No.	Sūtras	Sub-Sūtras
1	एकाधिकेन पूर्वेण Ekādhikena Pūrveṇa	आनुरूप्येण Ānurūpyeṇa
2	निखिलं नवतश्चरमं दशतः Nikhilaṃ Navataścaramaṃ Daśataḥ	शिष्यते शेषसंज्ञः Śiṣyate Śeṣasaṃjñaḥ
3	ऊर्ध्वतिर्यग्भ्याम् Ūrdhvatiryagbhyām	आद्यमाद्येनान्त्यमन्त्येन Ādyamādyenāntyamantyena
4	परावर्त्य योजयेत् Parāvartya Yojayet	केवलैः सप्तकं गुण्यात् Kevalaiḥ Saptakaṃ Guṇyāt
5	शून्यं साम्यसमुच्चये Śūnyaṃ Sāmyasamuccaye	वेष्टनम् Veṣṭanam
6	(आनुरूप्ये) शून्यमन्यत् (Ānurūpye) Śūnyamanyat	यावदूनं तावदूनम् Yāvadūnaṃ Tāvadūnam
7	संकलनव्यवकलनाभ्याम् Saṃkalanavyavakalanābhyām	यावदूनं तावदूनीकृत्य वर्गं च योजयेत् Yāvadūnaṃ Tāvadūnīkṛtya Vargaṃ Ca Yojayet
8	पूरणापूरणाभ्याम् Pūraṇāpūraṇābhyām	अन्त्ययोर्दशकेऽपि Antyayordaśakeʼpi
9	चलनकलनाभ्याम् Calanakalanābhyām	अन्त्ययोरेव Antyayoreva
10	यावदूनम् Yāvadūnam	समुच्चयगुणितः Samuccayaguṇitaḥ
11	व्यष्टिसमष्टिः Vyaṣṭisamaṣṭiḥ	लोपनस्थापनाभ्याम् Lopanasthāpanābhyām
12	शेषाण्यङ्केन चरमेण Śeṣāṇyaṅkena Carameṇa	विलोकनम् Vilokanam
13	सोपान्त्यद्वयमन्त्यम् Sopāntyadvayamantyam	गुणितसमुच्चयः समुच्चयगुणितः Guṇitasamuccayaḥ Samuccayaguṇitaḥ
14	एकन्यूनेन पूर्वेण Ekanyūnena Pūrveṇa
15	गुणितसमुच्चयः Guṇitasamuccayaḥ
16	गुणकसमुच्चयः Guṇakasamuccayaḥ

SeeAlso

सरल गणितीय सूत्रों का परिचय - भारती कृष्ण तीर्थ