Skip to main content

खनन और खनिज उद्योगों में पर्यावरणीय स्थिरता विषय पर विशेषज्ञों का मंथन

खनन और खनिज उद्योगों में पर्यावरणीय स्थिरता  विषय पर विशेषज्ञों का मंथन पर्यावरणीय स्थिरता मानव समाज के निरन्तर अस्तित्व, समृद्धि और स्वास्थ्य के लिए मूलभूत शर्त है। हमारी न्यू जनरेशन को स्पीड और टेक्नोलॉजी पर ध्यान केंद्रित करना होगा ताकि भविष्य को सुनहरा बनाया जा सके। उक्त विचार मुख्य अतिथि श्री एमपी सिंह, प्रधान मुख्य अभियंता, केंद्रीय विद्युत प्राधिकरण विद्युत मंत्रालय भारत सरकार, नई दिल्ली ने व्यक्त किए श्री सिंह भूपाल नोबल्स स्नातकोत्तर महाविद्यालय में भूविज्ञान विभाग द्वारा "खनन और खनिज उद्योगों में पर्यावरणीय स्थिरता" विषय पर आयोजित दो दिवसीय राष्ट्रीय कॉन्फ्रेंस के समापन पर बोल रहे थे। दो दिवसीय राष्ट्रीय कान्फ्रेंस का भव्य समापन सम्मानित अतिथि प्रो विनोद अग्रवाल सदस्य, भारत सरकार नई दिल्ली स्थित MOEFCC की विशेषज्ञ मूल्यांकन समिति, (सि एण्ड टीपी) अपने उद्बोधन में कहा कि पर्यावरण स्थिरता सरकार और समाज दोनों की जिम्मेदारी है। वर्तमान में खनन उद्योग विभिन्न प्रावधानों एवं कानूनों के तहत कार्य कर रहा है ताकि पर्यावरण को सुरक्षित रखा जा सके। आयोजन सचिव डॉ. हेमंत सेन न...
Post a Comment

Advanced Calculus | Mathematics | BSc

Advanced Calculus

Advanced Differential Calculus, Integral Calculus and Vector Calculus



Authors: Dr. Vimal Saraswat, Dr. Anil Kumar Menaria

ISBN :978-81-7906-950-9

Price: Rs. 375.00

Publisher: Himanshu Publications, Hiran Magri Udaipur; Himanshu Publications Prakash House, Ansari Road, New Delhi

E-mail : info@sacademy.co.in

Phone: +91 9664392614

To buy this book click on the link Advanced Calculus by Saraswat

This book includes the following topics 

Continuity

  • Introduction
  • Limit
  • Left and right limit
  • To find the R.H.L. and L.H.L. of a function
  • Existence of limit)/li>
  • Distinction between the value and limit of a function
  • Some theorems based on limits
  • Methods of finding the limit of functions
  • Some standard limits
  • Cauchy’s definition of continuity
  • Continuity from left and right
  • Continuity of a function in an interval
    • Continuity in the open interval); Continuity in the closed interval
  • Continuous function
  • Heine's definition of continuity or sequential continuity
  • Discontinuity and its types
    • Removable discontinuity; Discontinuity of first kind or ordinary discontinuity; Discontinuity of the second kind; Mixed discontinuity
  • Properties of continuous functions
  • Uniform continuity
  • Function of two variables
  • Limit of function of two variables
  • Continuity of function of two variables

Derivability

  • Differentiable or derivable function
  • Right hand and left hand derivative
  • Differentiability of a function in an interval
  • Some standard results on differentiability
  • Necessary condition for the existence of a finite derivative
  • Algebraic properties of derivatives
  • Chain rule or derivative of function of a function
  • Derivative of the inverse function
  • Properties of derivative
  • Darboux intermediate value theorem for derivatives
  • Differentiability of functions of two variables
  • Necessary and sufficient condition for differentiability
  • Total derivative
  • Algebraic property of differentiability of real valued functions of two variables
  • Condition for differentiability in polar coordinates

Partial Differentiation

  • Introduction
  • Partial differential coefficients
  • Partial derivatives of higher order
  • Homogeneous functions
  • Euler's theorem for homogeneous functions
  • Total differential coefficient
  • Differentiation of implicit functions

Maxima and Minima

  • Introduction
  • Extreme values of functions of two variables
  • Criteria for extreme value of f (x, y)
  • Working method of finding extreme values
  • Lagrange's method for undetermined multipliers

Envelopes and Evolutes

  • Family of curves
  • Envelope
  • Method of finding the envelope
  • Working method for finding envelope
  • Relation between envelope and each member of the family of curves
  • To find the envelope, when two parameters are connected by a relation
  • Evolute

Jacobians

  • Introduction
  • Definition
  • Jacobians of functions of functions
  • Jacobians of implicit functions
  • Dependence of functions

Double Integrals

  • Introduction
  • Double integration
  • Method of finding double integral
  • Double integral in polar coordinates
  • Change of double integral from cartesian to polar coordinates
  • Change of order of integration
  • Applications of double integrals
    • Area; Mass

Triple Integrals

  • Introduction
  • Evaluation of triple integral
  • Dirichlet's integral
  • Liouville's extension of Dirichlet's integral
  • Dirichlet's general theorem
  • Applications of triple integral

Volume and Surface of Solids of Revolution

  • Introduction
  • Volume of solids of revolution of cartesian curves
  • Volume generated by revolution about any line
  • Volume of solids of revolution of polar curves
  • Prolate and oblate spheroid
  • Surface area of solids of revolution of cartesian curves

Differential Operators

  • Introduction
  • Differential formulae for vectors
  • Partial derivatives of vectors
  • Vector differential operator ▽
  • Scalar point function and scalar field
  • Vector point function and vector field
  • Gradient of scalar point function
  • Theorem based on gradient
  • a ⋅ ▽ operator
  • Directional derivative
  • Theorems based on directional derivatives
  • Vector equation of tangent plane
  • Vctor equation of the normal
  • Divergence of a vector point function
  • Solenoidal vector
  • Theorem based on divergence
  • Curl of a vector point function
  • Irrotational vector
  • Theorem based on curl
  • Some important vector identities
  • Second order differential function and its properties

Vector integrationn

  • Introduction
  • Vector constant of integration
  • Some important integral result
  • Linear integral or line integral
  • Irrotational vector
  • Work

Integral theorems

  • Introduction
  • Surface integral
  • Volume integral
  • Gauss's divergence theorem
  • Stoke's theorem
  • Green's theorem
  • Cartesian form of Green's theorem
Labels:

Comments

Post a Comment

Popular posts from this blog

Thomson’s parabola method | EMFT and Relativity | Motion of charged particles in E and B fields

Thomson’s parabola method Positive ray analysis This method is used to find the charge to mass ratio. Thomson parabola method T = Discharge tube, the pressure of gas in this tube is kept 0.01 mm of Hg E = Capillary tube C = Cathode, which is perforated with an extremely small holes W = Water jacket, used to cool the cathode A and B = Metallic plates, the electric field is applied between these plates N and S = North and south poles of a heavy magnet K = Highly evacuated camera P = Photographic plate R = Liquid air trap, used to keep the pressure in K quite low Working To ensure the supply of the gas, a steady steam of the gas is allowed to pass through E and after circulating the tube, it is escaped through M. The positive ion produced in T move towards C. The ion which reaches C axially. pass through its fine hole in the form of narrow beam. After crossing C, the parallel beam of ions enters into the electric and magnetic...
Post a Comment
Read more

आवेश तथा उसके गुण | Charge and its properties in Hindi

आवेश तथा उसके गुण आवेश क्या है कोई नहीं जानता कि आवेश क्या है, केवल हम यह जानते हैं कि आवेश क्या कर सकता है तथा इसके गुण क्या हैं ? आवेश के प्रकार आवेश दो प्रकार के होते हैं, धनावेश तथा ऋणावेश। धनावेश प्रोटॉन के कारण होता है तथा ऋणावेश इलेक्ट्रॉन के कारण। तीसरे प्रकार का कोई आवेश ब्रहाण्ड में विद्यमान नहीं है। आवेश का क्वांटीकरण आवेश सदैव पैकेट के रूप में होता है, सतत्‌ नहीं। किसी वस्तु को दिया गया आवेश सदैव एक न्यूनतम आवेश का पूर्ण गुणज होता है यह न्यूनतम आवेश इलेक्ट्रॉन के आवेश के बराबर होता है, जिसका मान e = 1.6*10 -19 C होता है। q = ne,        यहां n = 0, 1, 2, ... आवेश संरक्षण का नियम आवेश को न तो उत्पन्न किया जा सकता है तथा न ही नष्ट किया जा सकता है, परन्तु इसे निकाय के एक भाग से दूसरे भाग में स्थानान्तरित किया जा सकता है। किसी विलगित निकाय का आवेश सदैव संरक्षित रहता है। Σq i = नियत,           यहां q i = iवे कण का आवेश आवेश के गुण स्थिर विद्युत आव...
Post a Comment
Read more

Constraints | Classification and Properties of constraints | Classical mechanics

Constraints and its classification Constraints force Constraints are restrictions that limit the motion of the particles of a system. Physically constrained motion is realized by the forces which arise when the object in motion is in contact with the constraining surfaces or curves. These forces are called constraint forces. Properties of constraints force They are elastic in nature and appear at the surface of contact. They are so strong that they barely allow the body under consideration to deviate even slightly from a prescribed path or surface. This prescribed path or surface is called a constraint. The effect of constraint force is to keep the constraint relations satisfied. Classification of constraints           Scleronomic and Rheonomic This classification is based on time. The constraints are said to be scleronomic constraints, if the constraint relations do not explicitly depend on time. But if the constraint rela...
Post a Comment
Read more