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...
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
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
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