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To truly understand the power of deel learning, you need to grasp the mathematical concepts that make it tick. "Math for deep learning" will give you a working knowledge of probability, statistics, linear algebra, and differential calculus-- the essential math subfields required to practice deep learning successfully. Each subfield is explained with Python code and hands-on, real-world examples that bridge the gap between pure mathematics and its applications in deep learning. The book begins with fundamentals such as Bayes' theorem before progressing to more advanced concepts like training neural networks using vectors, matrices, and derivatives of functions. You'll then put all this math to use as you explore and implement backpropagation and gradient descent-- the foundational algorithms that have enabled the AI revolution.

Schwerpunkt dieses ersten Teiles der aus zwei Bänden bestehenden Einführung in die Analysis ist die Differential- und Integralrechnung für Funktionen einer reellen Veränderlichen.Didaktisch geschickt und besonders verständlich geschrieben, eignet sich das Werk auch für das Selbststudium, ja sogar für den Gebrauch durch mathematisch interessierte Schüler. Außer Vertrautheit mit der "Schulmathematik" werden keine speziellen Vorkenntnisse erwartet. Theorien werden durch viele Beispiele illustriert; Übungen und Lösungen erleichtern die Aneignung des Stoffes. Für die vorliegende 2. Auflage wurden einige Abbildungen neu gestaltet und der Text an manchen Stellen erweitert, z.B. bei der Einführung von Cauchy-Folgen und der gleichmäßigen Stetigkeit.

Support your students learning with a high-end Calculus textbook. Calculus: A Complete Course, is the ultimate guide in the field, offering accessible content and an array of Instructor's resources that will support your teaching of standard semester courses as well as unique topics in the landscape of Mathematics. Also available with MyLab® Math.

Support your students learning with a high-end Calculus textbook. Calculus: A Complete Course, is the ultimate guide in the field, offering accessible content and an array of Instructor's resources that will support your teaching of standard semester courses as well as unique topics in the landscape of Mathematics. Also available with MyLab® Math.

Makes accessible to calculus students in high school, college and university a range of counter-examples to conjectures that many students erroneously make.