The Fabric of The Cosmos.

तत्तु समन्वयात्
tattu samanvayāt
( ब्रह्म-सूत्रम् / brahma-sūtram; 1.i.4)

ब्रह्म-सूत्रम् 

brahma-sūtram
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अन्वय-व्यतिरेक 

anvaya-vyatireka . 

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The subject-matter of the Vedanta is  Brahman / ब्रह्मन् .

The study of the way that helps attainment of  Brahman / ब्रह्मन्  is called ब्रह्मचर्य / brahmacarya .

There is the नैष्ठिक-ब्रह्मचर्य / naiṣṭhika-brahmacarya, which may be a state prior to the beginning of the stage of puberty, or one that is attained during and after this age.

जितेन्द्रिय / jitendriya is one who has acquired full control over the senses of pleasure.

This is the essential requisite for performing साधना / sādhanā, (the Spiritual practice) without exception, for all who aspire the attainment of Brahman / ब्रह्मन् .  

The child even as infant and before that as a fetus or even when is an embryo in the womb is at the stage of the manifest Brahman / ब्रह्मन् .  Brahman / ब्रह्मन् is the entity that keeps growing, expanding irrespective of external help.

A वृक्ष / vṛkṣa  / प्लवन्तः / plavantaḥ that is a tree or plant also grows in this way.

An egg or a seed is likewise a living potential either in the sleeping or in the waking mode.

The Mathematical tool in the form of a method as Laplace or Fourier Transformation is already in application in the study of Vedanta  Brahman / ब्रह्मन् . 

The very first chapter of the ब्रह्म-सूत्रम् / brahma-sūtram; - the prominent Vedanta-text is named :

 समन्वय / samanvaya that is translated in near-about terms as :

Reconciliation through proper inter-relation.

This is exactly the "Integration by Parts".

The next (the second) chapter of this book ब्रह्म-सूत्रम् / brahma-sūtram; is named :

अविरोध / avirodha; - that is equivalent to :

"Partial Differentiation".

The next 2 chapters are titled :

साधना / sādhanā, and  फलम् / phalam .

This makes this great text ब्रह्म-सूत्रम् / brahma-sūtram; - quite different in genre, to the other 2 great-texts namely :

श्रीमद्भग्वद्गीता / śrīmadbhagvadgītā and the  उपनिषद् / upaniṣad .  

Though in many other Vedanta-texts such as 

विवेक-चूडामणि / viveka-cūḍāmaṇi ,

अपरोक्षानुभूति / aparokṣānubhūti ,

पञ्चदशी / pañcadaśī ,

The same साधना / sādhanā, and  फलम् / phalam, have been explained along-side with :

अन्वय-व्यतिरेक / anvaya-vyatireka . 

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