Spectrum Advanced Calculus 1 BA and BSc 3rd Semester PU Chandigarh

In this book, Spectrum Advanced Calculus 1 BA and BSc 3rd Semester PU Chandigarh, Sharma Publications has indiscriminately illustrated the book using their best way so that the students can swallow the provided content in depth. 

Wrote by a team of four profound writers D R Sharma, Amit Bhatia, Dinesh Mattal and O P Karla. Collaborated their writings to provide the students their best collected resources necessary for their level. 

A textbook written just for BA and BSc 3rd semester PU.

• based on the syllabus of Panjab University Chandigarh
• exam pattern layout at the front pages
• exam related questions are tagged with their respective year 
• latest previous year question are attached 
• used the lucid language
• provides adequate examples of all theorems and its applications 
• highlights the theorems and statements 
• solved problems for future reference

                                                         CONTENT

Unit-I

Limit and continuity of functions of two and three variables. Partial differentiation. Change of variables. Partial derivation and differentiability of real-valued functions of two and three variables. Schwarz and Young’s theorem. Statements of Inverse and implicit function theorems and applications. Vector differentiation, Gradient, Divergence and Curl with their properties and applications.

Unit-II

Euler’s theorem on homogeneous functions. Taylor’s theorem for functions of two and three variables. Jacobians. Envelopes. Evolutes. Maxima, minima and saddle points of functions of two and three variables. Lagrange’s multiplier method.

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