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Introduction | Kinematics | Force | Equilibrium Of A Particle | Forces On A Rigid Body | A Specific Reduction Of Forces | Centre Of Mass | Stability Of Equilibrium| Virtual Work | Hanging Strings | Rectilinear Motion Under Constant Forces | Work, Energy And Power| Rectilinear Motion Under Varying Force | Projectiles| Impact | Circular Motion | Central Orbits | Moment Of Inertia | Two Dimensional Motion Of A Rigid Body| Theory Of Dimensions
The author have used numerical examples as the means for presentation of the underlying ideas of different operations research techniques.Accordingly,a large number of comprehensive solved examples,taken from a variety of fields,have been added in every chapter and they are followed by a set of unsolved problems with answers(and hints wherever required)through which readers can test their understanding of the subject matter.The book,in its present form,contains around 650,examples,1,280 illustrative diagrams.
Algebra | Partial Fractions | The Binomial Theorem | Exponential Theorem | The Logarithmic Series Theory Of Equations | Theory Of Equations | Reciprocal Equations | Newton-Rahson Method Matrices | Fundamental Concepts | Rank Of A Matrix | Linear Equations | Characteristic Roots And Vectors Finite Differences | Finite Differences | Interpolations: Newton'S Forward, Backward Interpolation | Lagrange'S Interpolation Trigonometry | Expansions | Hyperbolic Functions Differential Calculus | Successive Derivatives | Jacobians | Polar Curves Etc..
Complex Number System 17 2. Complex Plane 826 3. Sets Of Complex Points 2732 4. Analytic Functions 3360 5. Sequences And Series 6170 6. Power Series And Elementary Functions 71101 7. Elementary And Conformal Mappings 102137 8. Complex Integration 138188 9. TaylorS And LaurentS Series 189233 10. Residues 234278 11. Meromorphic Functions 279288
A Course of Mathematical Analysis
C is a popular programming language which is commonly used by scientists and engineers to write programs for any specific application. C is also a widely accepted programming language in the software industries. This beginner’s guide to computer programming is for student programmers to effectively write programs for solving numerical problems. All that is required of a beginner programmer is not experience in computing but interest in computing. The programs illustrated in the book have been accumulated, experimented and tested by the author during his teaching of the subject to a few thousand students in over a decade. In addition, numerous problems are adapted form university question papers. Short questions and answers and objective questions are an added feature. All these would build confidence of the students and those appearing for interview/viva voce in a practical lab. The special topic of the book is C graphics and animation which helps students develop simple programs to generate geometrical and graphical objects.
This is a textbook for a one-year course in analysis desighn for students who have completed the ordinary course in elementary calculus.