Calculus Early Transcendentals – 10th Edition Today’s exciting applications of calculus have roots which will be traced to the work of the Greek mathematician Archimedes, but the particular discovery of the elemental principles of calculus was made independently by Isaac Newton (English) and Gottfried Leibniz (German) in the late seventeenth century.
Newton and Leibniz found a fundamental relationship between the problem of finding a tangent line to a curve and the problem of determining the area of a region. Their realization of this connection is taken into account to be the “discovery of calculus.” Though Newton saw how these two problems are related ten years before Leibniz did, Leibniz published his work twenty years before Newton. This situation led to a stormy debate over who was the rightful discoverer of calculus.
The debate engulfed Europe for half a century, with the scientists of the European continent supporting Leibniz and those from England supporting Newton. The conflict was extremely unfortunate because Newton’s inferior notation badly hampered scientific development in England, and the Continent in turn lost the advantage of Newton’s discoveries in astronomy and physics for nearly fifty years. In spite of it all, Newton and Leibniz were sincere admirers of each other’s work.
Calculus Early Transcendentals: Table of Content
- Before Calculus 1
- Limits And Continuity 67
- The Derivative 131
- Topics In Differentiation 185
- The Derivative In Graphing And Applications 232
- Integration 316
- Applications Of The Definite Integral In Geometry,
- Science, And Engineering 413
- Principles Of Integral Evaluation 488
- Mathematical Modeling With Differential
- Equations 561
- Infinite Series 596
- Parametric And Polar Curves; Conic Sections 692
- Three-Dimensional Space; Vectors 767
- Vector-Valued Functions 841
- Partial Derivatives 906
- Multiple Integrals 1000
- Topics In Vector Calculus 1084
New To This Edition
- Exercise sets are modified to correspond more closely to questions inWileyPLUS. In addition, moreWileyPLUS questions now correspond to specific exercises within the text.
- New applied exercises are added to the book and existing applied exercises have been updated.
- Where appropriate, additional skill and practice exercises were added.
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