Advanced Calculus (eBook)

Second Edition

David V. Widder (Autor)

eBook Download: EPUB

2012 | 2., Second Edition
544 Seiten
Dover Publications (Verlag)
9780486134666 (ISBN)

Infos

Classic text offers exceptionally precise coverage of partial differentiation, vectors, differential geometry, Stieltjes integral, infinite series, gamma function, Fourier series, Laplace transform, much more. Includes exercises and selected answers.

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This classic text by a distinguished mathematician and former Professor of Mathematics at Harvard University, leads students familiar with elementary calculus into confronting and solving more theoretical problems of advanced calculus. In his preface to the first edition, Professor Widder also recommends various ways the book may be used as a text in both applied mathematics and engineering.Believing that clarity of exposition depends largely on precision of statement, the author has taken pains to state exactly what is to be proved in every case. Each section consists of definitions, theorems, proofs, examples and exercises. An effort has been made to make the statement of each theorem so concise that the student can see at a glance the essential hypotheses and conclusions.For this second edition, the author has improved the treatment of Stieltjes integrals to make it more useful to the reader less than familiar with the basic facts about theRiemann integral. In addition the material on series has been augmented by the inclusion of the method of partial summation of the Schwarz-Holder inequalities, and of additional results about power series. Carefully selected exercises, graded in difficulty, are found in abundance throughout the book; answers to many of them are contained in a final section.

Produkt-Details

• Erscheint lt. Verlag: 23.5.2012
• Reihe/Serie: Dover Books on Mathematics
• Reihe/Serie: Dover Books on Mathematics
• Sprache: englisch
• Maße: 140 x 140 mm
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Schlagworte: Abstract • advanced ones • advanced study • Algebraic Geometry • Applications • applied math • assigned textbook • axler • bartle • Book • books on advanced ones • books on advanced studies • books on algebraic geometries • books on applied maths • books on calculus classes • books on differential equations • books on differential geometries • books on functional analysis • books on geometry classes • books on graduate levels • books on linear algebras • books on linear equations • books on math majors • books on math students • books on math texts • books on modern texts • books on numerical methods • books on projective geometries • books on secondary texts • books on self studies • books on upper halves • books on vector spaces • Boyce • brannan • Calc • calculus class • carbon dating • challenging exercises • chapra • cited • Class • Classic • Coburn • Coefficients • College • convergence • Coordinates • Coxeter • determinants • DIFF • Differential Equations • Differential Geometry • Dover • Edwards • Engineering • Euclid • euclidean • Exercises • Farlow • firm grasp • Fourier • Functional • Functional Analysis • gamma • Geometry • geometry class • graduate • Graduate level • Hamming • Harvard • Infinite • integrals • introductory text • Krantz • Laplace • Limits • linear algebra • Linear equations • lucid explanations • Manual • Math • Math Competition • mathematical background • Mathematics • math major • math students • math texts • matrices • modern texts • Notation • Numerical Methods • odes • ordinary differential • partial differential • Partial differential equations • Pinsky • pollard • Precalculus • priced • Problem Solving • Projective Geometry • proofs • pugh • Quadratic • Real analysis • Rigorous • secondary text • self study • Self-study • series • Solutions • Springer • Stewart • strang • Taylor • tenenbaum • Text • textbooks • Theorems • Tiles • trig • upper half • Vectors • vector spaces • wylie
• ISBN-13: 9780486134666 / 9780486134666