04442nam 2200565Ia 450 991082501210332120200520144314.081-224-3491-6(CKB)2670000000254100(EBL)3017437(SSID)ssj0000937043(PQKBManifestationID)11542721(PQKBTitleCode)TC0000937043(PQKBWorkID)10975562(PQKB)10414514(MiAaPQ)EBC3017437(Au-PeEL)EBL3017437(CaPaEBR)ebr10594267(OCoLC)842259898(EXLCZ)99267000000025410020111102d2012 uy 0engurcn|||||||||txtccrAdvanced trigonometric relations through Nbic functions /NIsith K. Bairagi1st ed.New Delhi New Age International20121 online resource (281 p.)Includes index.81-224-3023-6 ""Cover ""; ""Preface ""; ""Acknowledgement ""; ""Notation ""; ""Contents ""; ""Chapter 1 Nbic Functions and Nbic Trigonometric Relations ""; ""1.1 Introduction ""; ""1.1.1 Circular Angle ""; ""1.1.2 Definition of Hyperbolic Angle and Tan-equivalent Hyperbolic (tehy) Angle ""; ""1.2 Definition and Interpretation of Nbic Angle ""; ""1.2.1 Nbic Angle and its Interpretation ""; ""1.2.2 Tan-Equivalent Nbic (teN) Angle ""; ""1.3 Symbolic Identification of Nbic Functions ""; ""1.3.1 Nbic Trigonometry ""; ""1.3.2 Interchangeability of Trigonometric and Hyperbolic Functions """"1.3.3 Surface, Gaussian Curvature and Angle Sum """"1.3.4 Nbic Functions and Nbic Trigonometric Relations ""; ""1.4 Complex Nbic Functions ""; ""1.4.1 Some Basic Complex Functions ""; ""1.4.2 Generation of Single Nbic Function, N (x, y) ""; ""1.4.3 Single Nbic Function With Suffixes A and B ""; ""1.4.4 Particular Case ""; ""1.4.5 Complex Single Nbic Function with Suffixes A and B, [NA / (x, x), NB / (x, x)] ""; ""1.5 Generation of Double Nbic Function,N2 (x,y) ""; ""1.5.1 As Generated from Complex Double Nbic Function, N2/(x, y) ""; ""1.5.2 Category 1 : (E type) """"1.5.3 Particular Case """"1.5.4 Category 2 : (F type) ""; ""1.5.5 Particular Case ""; ""1.5.6 Double Nbic Function with Suffixes A and B ""; ""1.6 Generation of Triple Nbic Function, N3(x, y) ""; ""1.6.1 As Generated from Complex Triple Nbic Function, N3 / (x, y) ""; ""1.6.2 Category 1 : (E type) ""; ""1.6.3 Particular Case ""; ""1.6.4 Category 2 : (F type) ""; ""1.6.5 Particular Case ""; ""1.6.6 Category M (Mixed Category) ""; ""1.6.7 Triple Nbic Function with Suffixes A and B ""; ""1.6.8 Particular Case ""; ""1.7 Definition and Development of Nbic Function """"1.7.1 Single Nbic Function with Variable (x, y) : N(x, y) """"1.7.2 Single Nbic Function with Variable of x Only : N(x, x) ""; ""1.7.3 Graphical Determination of Single Nbic Functions ""; ""1.7.4 Single Nbic Function with Complex Variable of (ix) Only : N (ix, ix) ""; ""1.7.5 Comparison with Corresponding Circular and Hyperbolic Functions ""; ""1.8 Derivation of Expressions of Other Basic Nbic Functions ""; ""1.8.1 To Find sinNx and cosNx, when only, tanNx is given ""; ""1.8.2 Differentiation Rule for Single Nbic Functions ""; ""1.8.3 Numerical Verification of Expressions """"1.8.4 Basic Nbic Functions and their Derivatives """"1.8.5 Integration Rule for Single Nbic Functions ""; ""1.8.6 Related Expressions Involving Differentiation and Integration ""; ""1.8.7 Interpretation and Representation in Terms of Circular Functions ""; ""1.9 Nbic Functions with Variable (2x, ± 2x) AND (2x, ± x) ""; ""1.9.1 Similarity of Forms ""; ""1.9.2 Single Nbic Function with Double Angle, N(2x, 2x) in Terms of, N(2x, x) ""; ""1.9.3 Some Examples Related to Nbic Functions with Variable (2x, ± 2x) and (2x, ± x) ""; ""Chapter 2 Complex Nbic Function and Associated Topics """"2.1 De Moivre's form Extended in Nbic Function ""TrigonometryMathematicsTrigonometry.Mathematics.Bairagi Nisith K1713570MiAaPQMiAaPQMiAaPQBOOK9910825012103321Advanced trigonometric relations through Nbic functions4106635UNINA